diff --git "a/data/dm_maths/full_data_1/10316_11255.jsonl" "b/data/dm_maths/full_data_1/10316_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10316_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let b = -449 + 442.83. Let z = -0.983 + -0.087. Let q = b - z. Round q to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072467?\nAnswer: 2072467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1764782*n**3*u*z - 2*n**3*z - n**3 + 3*n**2*z - 107*n*z + u*z - 25 wrt u.\nAnswer: -1764782*n**3*z + z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4 = -2. Suppose 0 = 5*j - 1 - 9. Suppose 1 - g = -5*r + 4*h, -j*h + 10 = 3*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1601 - -1605. Solve 11*r + 60 = -b*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 407\/1232 + 32\/(-224)\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 11, 50, 117, 218, 359?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*c - 71*c - 15 = 0, 5*c + 28 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223080 and 440?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -16*g + 271*g**2 + g + 56 - 270*g**2. Suppose -5*i - 17 + 62 = 0. Calculate the least common multiple of i and u(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-330)\/20*(-52)\/6. Suppose -k = -5*h - 33. What is the third derivative of 25*w**4 - 2*w**5 - 2*w - 6*w**2 - h*w**4 - 8*w**2 wrt w?\nAnswer: -120*w**2 + 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 225664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 11*y + 36. Find g such that g**3 + 2\/3*g - 5\/3*g**2 + 0 + 1\/3*g**y - 1\/3*g**5 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) - (sqrt(153) + 1)) - sqrt(153))**2 - (3 + -3*sqrt(153)) - (2 + (2*(sqrt(153) - -1*sqrt(153)) - 5*(0 + sqrt(153)))**2).\nAnswer: -27*sqrt(17) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13885?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11\/(-22))\/(-3*(-3)\/1908). Let r = 113 + y. Calculate the remainder when 18 is divided by 4\/r*(-14)\/4*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -74, 4, -767 in decreasing order.\nAnswer: 4, 1, 0, -74, -767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5057 is divided by 253?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/361 or 1?\nAnswer: 3\/361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 950990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 17, -39, -169, -397, -747, -1243?\nAnswer: -1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmvv. What is prob of sequence mmmv?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 10*m**2 + 4*m**2 + m**2 + 2*m**2 in the form h + x*m + q*m**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 2 - 1\/2. Suppose -2*v - 14 = -2*f - 2*f, v = 4*f - 15. What is the closest to v in 2, o, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(6*4*sqrt(144) + sqrt(144) + sqrt(144)))\/((sqrt(300)*1 + sqrt(300))*-5) + -2.\nAnswer: -2 + 78*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001220332 + -11?\nAnswer: 1001220321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 5*c - c + 3*c. Calculate n(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-9))\/((-2)\/(-6)). Let p = 314\/5 + -2786\/45. Let l = -14\/9 + p. What is the third biggest value in 2, l, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (26 - (6 + 7)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6969862 kilograms in milligrams?\nAnswer: 696986.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 + -22. Let n(x) = 5*x - 15. Let w be n(o). What is the smallest common multiple of 6 and (-12)\/w*15\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Let n(v) = 2*v - 2. Let j be n(l). Suppose 0 = -j*z - 3*z + 95. Calculate the highest common factor of 57 and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*12\/216)\/(129\/18).\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 + 11*q**4\/8 + 28*q**3\/3 + 3337*q**2. What is z(-31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 8:51 PM?\nAnswer: 6:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4943953 is divided by 2502.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10001101010101011?\nAnswer: -10001101010101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136147, 272293, 408439, 544585, 680731?\n\"Answer: 136146*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/4732 and -41\/12729.\nAnswer: 60233628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/(((84\/20)\/(-7))\/(21\/15)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 128382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (5 - 7) - (2 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -3*w + 5, 3*b + 13 = 43 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -55*z + 4 + 9 - 108*z + 74*z with respect to z.\nAnswer: -89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 94\/3 (b) 1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2822\/10 - 13)*20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.08 and 40491.6338?\nAnswer: 40491.5538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 - 8*t - 35. What is w(-9)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -74540704 divided by -178\nAnswer: 418768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 82350 and 12?\nAnswer: 164700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-12 + (-1 - -27)) - (46 + -13).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s + 1223*s**2 - 17*s**3 - 1223*s**2 + 15*s**3.\nAnswer: -2*s**3 - 123*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 6 = -7*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36131855?\nAnswer: 5, 7226371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**8\/112 + c**5\/30 + c**3\/2 + 5*c**2. Let h(f) be the first derivative of y(f). What is the second derivative of h(x) wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o - 6*o = -5*o + 90, o = -u + 12 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 27*r**2 + 6*r + 1094. Determine k(25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 93?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 12 = -8*w. Let d be (-2)\/(-9)*w*42\/(-98). Let q = -0.7 + 0.8. What is the second biggest value in 5, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 603254987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 3\/(6\/(-2)). Suppose 2*d = -3*n - k + 13, -5*d - 6 = -2*n. Find the second derivative of -b + d*b - b + b**3 wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22)\/(-4675)*431\/6. Let h = -2\/425 + n. Which is the biggest value? (a) 4 (b) 6 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94 + 180 = 94*u - 102. Sort -5, 2385, 3, u.\nAnswer: -5, u, 3, 2385","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k*v**3 + 2*k*v**2 + 23*k*v - k - 36 with respect to v.\nAnswer: 15*k*v**2 + 4*k*v + 23*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (12 - 203025\/17160) + (-1)\/(-8) and 36\/7.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -42*z - 5. Let x be v(-2). Suppose -x + 58 = -3*k. Suppose 1 = -c - 0, -j + k = -3*c. What is the least common multiple of 18 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 6*v. Let n be d(6). Suppose -5*f + s - 1093 = 0, n = -3*f - f + s - 874. Let q = 410 + f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ue when two letters picked without replacement from {u: 2, e: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 z when two letters picked without replacement from {o: 1, z: 10, p: 3, b: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/13 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 34\/1737 and (-5 - 642\/36)*-1.\nAnswer: 3474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 983 + 9*x**2 + x**2 - 1201088*x**3 + 1201091*x**3 - 9*x**2 - 124*x wrt x?\nAnswer: 9*x**2 + 2*x - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 2*l**3\/9 + 4*l**2\/3 - 272*l\/9 + 256\/3 = 0.\nAnswer: -16, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -3*u + 24, 92 = 4*d + 21*u + 32*u - 27*u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(784)*-1)\/(sqrt(7) - 2*sqrt(252)) - (0 + -1 + sqrt(7) + sqrt(7) + -2*sqrt(7) + -4 + sqrt(7))*-4)**2 + -3.\nAnswer: -1920*sqrt(7)\/11 + 64165\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*j + 23, 2*k + j = -3*j - 26 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 22715685?\nAnswer: 68147055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1 + 0.3. Suppose -9*j + 4*j + 4*y = 30, -20 = 4*y. Let l be (-17)\/(-102) + j\/(-24)*2. Put c, l, 0 in decreasing order.\nAnswer: l, c, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hi when two letters picked without replacement from qihihdqhihqhhq.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 201880\/39031263 + 2\/34029. Let p = n + -106803\/25234. What is the common denominator of p and 244\/12 - (-1)\/2?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -82*d + 130. Calculate f(3).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b**4 + 3*b**4 - b**4)*(2 + 2 - 2)*(243*b - 494*b + 396*b)*(-1 + 2 + 2).\nAnswer: -2610*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 31 - -2) + 2. Let w = x - 27. Calculate the least common multiple of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**5 - 9*q**4 - 2105*q**3 + q**2 + 232282*q wrt q?\nAnswer: 120*q**2 - 216*q - 12630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3227.94 + -3253.1691. Let i = 25.04 + n. Let z = -0.2 - i. What is z rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -312*j - 621*j + 4*j**3 - 3*j**3 + 9*j**3 + 342*j to the form f*j + v*j**2 + a + w*j**3 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(10\/4 + -4)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-56))\/(((-1452)\/(-77))\/12*35\/(-6))?\nAnswer: -3\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 7) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 63*d**3 + d**2 - 3*d + 2. Let x be i(1). Let b = x - 59. Solve 0 = -z - z - b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3745 is divided by 906.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 10 + 26. Let t = 43 - z. Does 7 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**2 - 71925628*g + 1293323990798596 = 0.\nAnswer: 35962814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 122 + 33 = 5*a. List the prime factors of a.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0381348ms to days.\nAnswer: 0.000000000441375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 880405.9 hours?\nAnswer: 3169461240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 360716528 by 180358264.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 1. Let v(a) = -a**2 - 3*a + 31. Let n be v(-7). Let o(z) = 3*z**2 + 13*z - 50. Let u(h) = n*b(h) + o(h). What is the units digit of u(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.86 + 0.14. Let k = -13.8 + t. Which is bigger: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(-45)*5 - -105. Calculate the highest common factor of n and 3744.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84 and 2919.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6 = 0, -33 = 5*q - 5*s + s for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 5\/3, -1.5, 1292, -1, 4\/3 in ascending order.\nAnswer: -1.5, -1, -0.1, 4\/3, 5\/3, 1292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43010 is divided by 767.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5 + h**2 - 7*h**2 + 5*h**2. Let k be z(0). Is 18 a factor of 269\/k - 1\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 19*t + 20. Let o be l(18). Put o, 5, 30 in descending order.\nAnswer: 30, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.99 times -499\nAnswer: 1492.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.49 + -5.49. What is the second biggest value in 6, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-96)\/(-18) + -5)*12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003596801527 rounded to 5 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 7:27 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*1\/(41\/((-533)\/(-4))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 377163 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 720900386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -504388 + -3828?\nAnswer: -508327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 12 and 357\/29 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 546 a factor of 513239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.882 rounded to 1 dp?\nAnswer: -9.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.98 + 10. Let n = -0.03 - h. Which is the second smallest value? (a) 4\/7 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572448.9 nanoseconds in minutes?\nAnswer: 0.000009540815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*k = -35, 3*k + 670 = 338 + 317 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 19 = 2*l, 2*q - l - 8 = 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:32 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1354122705 divided by -270824541.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146 divided by 1.\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5559 and 981.\nAnswer: 16677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -52*r**2 - 3027. Let q(o) = 4*o. Give q(u(f)).\nAnswer: -208*f**2 - 12108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83220 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2997 or 1.4583?\nAnswer: 2997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 2*n**2 + 2*n + 4. Let u be -1 - 0 - (3 - -14). Let y = 0 + -15. Let m = u - y. Calculate j(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*n**4\/7 + 5672*n**3\/7 - 51150*n**2\/7 + 70216*n\/7 + 20840\/7 = 0 for n.\nAnswer: -1\/4, 2, 10, 521\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 5)\/(1\/9). Suppose 2*g + 5*l = k, 4*g + 5*l - l = 24. Solve 3*x + 0*x = 4*s + 1, -4*x + 4*s - g = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/45)*n)\/(n**(-6)\/n*n) assuming n is positive.\nAnswer: n**(313\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.411 + 1.410999341. What is k rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*z + o, 49*z - 54*z = 2*o + 23. Let s(j) = -j**2 - 18*j - 32. Determine s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/150*315\/17136*68?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 22 + 1\/(2 + -1). Let h = r - 4. Calculate the common denominator of (11\/10)\/((-1)\/(-4)) and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -56. Which is smaller: -35 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 1066475*g + 24531570.\nAnswer: -5*(g - 23)*(g + 213318)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 7266148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 3*u + 22 = 0, -6*w = u - 9 - 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-38)\/(k*k**21))\/(k**(5\/13)\/k**(2\/63)))**(-3\/38) assuming k is positive.\nAnswer: k**(49429\/10374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10210 (base 3) to base 14\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + f - 90. Give y(0).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**4 - 1 - 11*q**3 + 6*q**4 - 8*q**4 + q**3 - 2*q to the form v*q**3 + d*q + u*q**4 + i*q**2 + k and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/3 and -29\/95?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1756, -1759, -1762, -1765?\nAnswer: -1768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109681858 and 197098.\nAnswer: 6358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/18163 and -38\/272445.\nAnswer: 272445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37a42a + -3?\nAnswer: 37a427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-1*sqrt(605).\nAnswer: 55*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, g: 5, o: 3, t: 2, w: 1, u: 3}. Give prob of picking 2 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -106. Find the third derivative of 10*j + 89*j**5 - 18*j**2 - 81*j**u - 10*j wrt j.\nAnswer: 480*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 5*g + 8*o - 18, 3*o = 4*g - 10. Let f(q) = -q**2 + 6*q + 6. Let t be f(5). Solve 2*j = 5*m - t, -3 - 1 = g*j - 4*m for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 less than -139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 187\/(-11) + (-1 - (-2 - -3))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9072 and 1454040.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 20. Let i(h) = -h**2 + 4*h + 3. Let s be i(z). Let u(o) = -266666*o - 2. Let c be u(s). What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95384.9*0.5.\nAnswer: -47692.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/20440303 or 0?\nAnswer: -3\/20440303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 842*t. Let q(i) = 31007*i**2. What is q(x(d))?\nAnswer: 21982846748*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of -1186*j**3\/3 - 17*j**2\/2 + 17*j. Let h be r(-3). Suppose -h = -7*y + 10758. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**3\/5 - 2697*y**2\/5 - 261108*y\/5 + 106596 = 0. Calculate y.\nAnswer: -90, 2, 987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4223*w**4 + 2*w**3 - 5*w**2 - 1021444 wrt w.\nAnswer: -16892*w**3 + 6*w**2 - 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -361, 14, -5, -17, -1 in ascending order.\nAnswer: -361, -17, -5, -1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 107*d + 585. Let b be t(-5). Solve b = l + 54 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6551994 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 + 148*b**2 + 5256*b + 263. What is r(-59)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 2485\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1*5*(-2)\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 38. Suppose 5*a + 4*s + s = 55, s + b = 4*a. Solve a = -2*y - y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 10*z**2 - 11*z - 8. Let y = -28 + 19. What is the least common multiple of u(y) and 22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/230669260 and -59\/77061.\nAnswer: 692007780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 287 is divided by 85.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 + 3*u. Let i(o) = -5*o**2 - 4*o. Let x(t) = -3*i(t) - 4*q(t). Let v(k) be the second derivative of -5*k**4\/6 - 12*k - 3. Determine x(v(m)).\nAnswer: -100*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 19388858837 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/334 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5612 - 39512\/7. Is s >= -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-6))\/(70\/105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 9:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-2)\/6*-3. Suppose -19*k + 18*k - 2 = l. Is (k + (-423)\/6)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 780, 417, -2308, -8577, -19572, -36475?\n\"Answer: -197*c**3 + c**2 + 1013*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59962 is divided by 3444?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 + 2*k - 8. Let p be l(2). Which is greater: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 190?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26046033?\nAnswer: 3, 13, 277, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b = 92*t - 94*t + 11, -14*t = 3*b + 61 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c**7))*c*c*c*c*c)\/(c*c\/(c\/(c\/c**(-2\/5))*c*c))*(c**0)**(-1\/31) assuming c is positive.\nAnswer: c**(68\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 26. Let a(f) = f**3 - 123*f + 3. Let z be a(0). Let t(x) = x - 27. Give z*t(v) - 2*j(v).\nAnswer: -v - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3643980?\nAnswer: 2, 3, 5, 60733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 69?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/10 of a kilometer in meters?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -d4d (base 14) to base 5\nAnswer: -40432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1585 - -1581. What is the nearest to f in 0.5, 2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -185434970*t**3 - 47232112 wrt t?\nAnswer: -556304910*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-4))\/(3\/(-4)). Let h(q) = -2*q**2 + 2*q**2 + 3*q**f. Let b(d) = -4*d**2 + 0*d**2 + 2*d**2. Determine b(h(o)).\nAnswer: -18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 15*y**2 + 8. Let s be w(15). Let l = 13 - s. Suppose -2*t + l*n = -23, -2*n - 2 = 4. Solve t*v - 4 = -2*q, -4*v - 4*q - 10 = -2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27084?\nAnswer: 2, 3, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 196 (b) -2.05 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6287397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 69761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -79 - 10991772?\nAnswer: -10991840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131 + 1031112130?\nAnswer: 1031112321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 30953.01393 rounded to the nearest 10?\nAnswer: 30950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 2*d + 0*d. Let a(r) = 24*r. Let t(u) = 39*u. Let b(p) = -5*a(p) + 3*t(p). Give k(b(z)).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*v**3 - 226*v**2 - 203401\/2 + 205205\/4*v.\nAnswer: (v - 451)**2*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*((-4)\/(-6) + -1). Suppose 43*j + 1 - 12 = 32. Which is the nearest to m? (a) -0.2 (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/15 - 3 - (-96)\/(-360)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 215*c**5*h - 48*c**2*h - 4*c wrt c?\nAnswer: 12900*c**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25819?\nAnswer: 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 1. Let b be u(4). Which is greater: b or 76\/5?\nAnswer: 76\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkuuuuuuuuku. What is prob of sequence kukk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1106, -2214, -3292, -4316, -5262, -6106, -6824?\nAnswer: -7392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/12*-2)\/((-5)\/(-240)). Let k be (x\/(-40) + (-6)\/(-10))\/(-3). Let u = 678 - 18308\/27. Is u equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.93 + -0.946. Let r = -0.016 - x. Let i = 0.8 - -1.2. Sort -0.3, i, 1\/2, r in increasing order.\nAnswer: -0.3, r, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 6:31 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.0227 + -0.0227. Put 0.5, -13, p in increasing order.\nAnswer: -13, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**2 + 6*r + 5. Calculate h(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(2 + 3*-2*(5 + (sqrt(242)*-1)**2 - (sqrt(242) + -4 + sqrt(242) + (1 + sqrt(242) - sqrt(242)) + sqrt(242))**2)).\nAnswer: -232840 + 23760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, -2\/7, -200?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 78 = l. Let b = 38 + l. Suppose 25 = 3*h - 5. What is the lowest common multiple of h and b?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109, -102, -85, -52, 3?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {a: 2, u: 1, q: 1, z: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2. Let x(l) be the first derivative of -19*l**3\/3 + 6. Give v(x(n)).\nAnswer: 361*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f**3 - 16*f - 5*f**2 + f**3 + 21*f - 4. Let o be q(-6). Solve p - 5\/4*p**o + 1\/4 = 0 for p.\nAnswer: -1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + -3)*1\/2. Let u(a) = -2*a + 19. Let c be u(g). Let s = -75\/4 + c. What is the closest to s in 0.5, -0.03, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**5 + 6864*o**4 + 61236*o**3 - 371736*o**2 - 5169744*o - 13273632 = 0. What is o?\nAnswer: -1707, -6, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*y - 1190, 0 = -a + 2*y + 3*y - 268. Let h be 9*(-18)\/a + (-2)\/12. Find f such that 0*f - 1\/3*f**2 - h*f**3 + 0 - 1\/6*f**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269767 divided by -23\nAnswer: 11729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1527176 * 1.\nAnswer: -1527176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1453994 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a factor of 161951913?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4113434022 - 4?\nAnswer: 4113434013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 496 and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -32.9. Which is greater: z or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -80*i + 2322. Calculate the remainder when h(12) is divided by 451.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -325*h - 23. Let l be a(-9). Is 56 a factor of (-44)\/16 + 3 - l\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/600 - 3*l**5\/200 + l**4\/20 - 10*l**3 + 6. Let i(h) be the third derivative of y(h). Factor i(d).\nAnswer: 3*(d - 2)*(d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.66 * -16.\nAnswer: 10.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60065 - -1250853623\/20825. Let u = a + 9664\/12495. Calculate the common denominator of 10\/33 and u.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -5. Let y = -76 - n. Which is the closest to -0.2? (a) 0.3 (b) 2\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruouroouocurrccocrrc. Give prob of picking 2 c.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53149120 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-30)\/12)\/((-2)\/708) a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/295 and 0.3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 85592209, 171184415, 256776619, 342368821?\n\"Answer: -l**2 + 85592209*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168357, 673459, 1515299, 2693877, 4209193, 6061247, 8250039?\n\"Answer: 168369*y**2 - 5*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - q)*((295 - 505 + 326)*(5 - 1 - 3) + 2 + 2 - 2) as w + t*q and give t.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40790*x = 41015*x + 12600 for x.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2)*u)\/u*u\/(u\/((u\/(u*u**(-2)\/u))\/u))*u*u**(2\/15)*u**(2\/7) assuming u is positive.\nAnswer: u**(1033\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -6*m. Let i(p) = -p. Let d(v) = 3*b(v) - 16*i(v). Let s(h) be the second derivative of -h**4\/6 - h. Calculate d(s(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 147997*-3\nAnswer: -443991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 10.13 times -1.83\nAnswer: -18.5379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1018*s - 1945. Let w(v) = 2036*v - 3834. Let m(c) = 3*w(c) - 7*x(c). Differentiate m(j) wrt j.\nAnswer: -1018","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954?\nAnswer: 2, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3697 - -0.8697. What is the second smallest value in -58, w, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 388.9999743 - 389. What is r rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, b: 1, p: 1, d: 4}. What is prob of sequence pll?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3602140396 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 12*f**2 + 86*f + 7. Give w(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -12*k - 5. Let l(z) = z**3 + 7*z**2 - 7*z + 3. Let c be l(-8). What is the units digit of t(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 6*t**2 + t + 8. Let b be w(-6). Suppose -2*f - 6 = -f - b*i, 3*f - i = 7. What is the derivative of -4*a + 4*a + 4*a**2 - f wrt a?\nAnswer: 8*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3781 + -2416. Suppose 13*y + 0*y = a. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 61 - 31)*(2 + 0 - 3)*(3 - 5 + 0)*(-2*l + 6*l + 0*l) to the form n + s*l and give s.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lzllzzlzlllzll. What is prob of picking 1 z and 1 l?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -42 - 35505?\nAnswer: -35550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 - -21. Suppose 3*z - u*y - 8 = 0, z - 4 = -0*y + 2*y. Is z less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -6*c. Let t(i) = 2439*i. Give x(t(j)).\nAnswer: -14634*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1554853 is divided by 518280.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10653001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5201318 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 138 = 3. Let f be 1\/5 - (-66)\/h. Let l be (-2)\/(-5) - ((-2 - -4) + -1). Which is the smallest value? (a) 2 (b) l (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3869075?\nAnswer: 5, 7, 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is b2 (base 15) in base 2?\nAnswer: 10100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of b**5\/20 + b**3\/6 - 17*b. Let m(w) be the second derivative of y(w). Let r(g) = 4*g**2. Calculate m(r(x)).\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/294)\/((-3036)\/(-269192))?\nAnswer: -19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 - 2*v + (-1 + 1 + 2*v)*(-4 + 1 + 1) + v + 5*v - 4*v + (0 - 2 + 1)*(2*v + 0 + 0) + 2 + 3*v - 2 + v - 4*v + 4*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**2 - 6*m + 4. Let q(s) = s**3 + 3*s**2 - 6*s + 6. Let v(l) = -3*q(l) + 4*z(l). What are the prime factors of v(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**2 - 12*h - 8. Let p be u(-8). Suppose c = -k + 190, -c = 3*k - 778 + p. Let t = k - 125. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 3*n + 8. Let z(q) = q**3 + 9*q**2 + q + 13. Let s be z(-9). Let c be (6 - 12)*(-3 + s). Let i(k) = 4 - 3 + k**2 + 0. Give c*i(t) + m(t).\nAnswer: -t**2 - 3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*g**4\/5 + 1110*g**3 + 11082*g**2\/5 + 5538*g\/5 = 0. What is g?\nAnswer: -923, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 60 = 20. Suppose -o = 5*k - 994, k + 0*k + 4*o - 214 = 0. Let u be 2\/(-9) - n\/k. Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**3 + 249*c**2 - 93*c + 154391.\nAnswer: 6*c**2 + 498*c - 93","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**5\/11 - 4706*u**4\/11 + 35868*u**3 - 8144974*u**2\/11 - 8544229*u\/11 = 0.\nAnswer: -1, 0, 43, 4621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)\/h)\/(h*h**9)*h*h\/(h*h**(1\/9)*h)*(h*h**(-9)*h*h)\/h assuming h is positive.\nAnswer: h**(-1168\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6474, 6485, 6498, 6513?\n\"Answer: k**2 + 8*k + 6465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*sqrt(847)*1)**2 - (sqrt(175)*3 - sqrt(175) - (sqrt(567) + sqrt(567)*-3))**2.\nAnswer: 48720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 16. Let u = n + 11.014. What is u rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -1 - 4*y - y + 6. Let f(n) = -11*n + 11. Let h(q) = -2*q**2 + q + 1. Let c be h(-2). Determine c*s(d) + 4*f(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -91 (c) -0.4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/(i\/i**0))**(-1\/12)*((i\/i**0)**(-6))**45 assuming i is positive.\nAnswer: i**(-1619\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 2*s - r - 211 = 0, -4*r = -2*s - 80. Let n = s + 49. Suppose -n*t + 3630 = 4*t. Round t to the nearest ten.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 0*a - 6 = 0, 0 = 3*g - 2*a - 24. Let t = g - 6. Let y = 12 - 8. Solve 3*u - 3*f = t, 0 = -2*u + 7*u - y*f for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431*i - 193*i**2 + 72*i**2 - 436*i + 105*i**2 + 867*i.\nAnswer: -16*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3 in descending order.\nAnswer: 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -31017809\/8 smaller than -3877227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 16 + -1 + 7 + (26 - 11 - 15)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*b + 2*j, 94*b - 4*j = 84*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11360, -11361, -11364, -11369, -11376?\n\"Answer: -f**2 + 2*f - 11361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -13 + (-6 - -17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 21*y - 63. Let m be j(14). Let i be (-4 + m\/10)*2. What is the hundreds digit of i\/((-1190)\/(-1195) + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 70 - 79. Let i(w) = w**3 + 11*w**2 + 19*w - 8. Give i(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-12 + 15 + 21)*(i + i - i) + (1 + 1 + 0)*(-2 - 28*i + 175*i - 86*i))*(-3 + 3 - i).\nAnswer: -146*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 times -1264.567?\nAnswer: -20233.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(0*m - m + 3*m) + 2*m + 2*m - 5*m - m - 4*m + 6*m - 3*m + 2*m + 2*m + (1 + 1 - 1)*(m + 0*m - 2*m) + 2*m + 0 + 0.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2890?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 865986 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 - (7 + (24 - 14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4) + 31\/(-62). Let k = 2 - 2. Suppose -5*y - 5 = -5*l, -f*l - 3*y + 17 = -k*y. Solve 0 = 4*b + l - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3 + 0*p + 3*p)*(4*p**3 - 31*p**2 + 31*p**2) as j*p + u*p**2 + d*p**3 + s*p**4 + w and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -23. What is the closest to 3 in k, -4, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -105*i**2 - 7*i + 8. Give n(1).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 10 + 10*x + x**2 - 15. Let t be m(-7). Solve -5*l + 0 = t*u - 6, -u + 3*l - 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:50 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 338683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28090?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + 3 + 0 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*k**2 - 651*k**2 - 2*k + 309*k**2.\nAnswer: -220*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -200, -409, -712, -1115, -1624, -2245?\nAnswer: -2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 4*o. Let v(b) = 4*b**2 - 3*b + 3. Let a = 4 + -5. Let c(w) = -w**2 + w - 1. Let n(t) = a*v(t) - 3*c(t). Determine d(n(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 + -99.00137. Round d to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -37575?\nAnswer: 4\/37575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99621\/56 - -1779. Let o = -12789 + 895161\/70. What is the common denominator of w and o?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4\/369875 and 23\/201750.\nAnswer: 2219250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/27*9\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 3*y**2 - 12*y - 3. What is p(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjjvjvjjvjvjj. What is prob of picking 2 j and 2 v?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/251 (b) -2 (c) 5 (d) -4 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**8\/2240 - 17*p**5\/60 + 7*p**4\/3 + 14*p. Let c(x) be the third derivative of h(x). Differentiate c(a) with respect to a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -38*t**2. Let b(w) be the first derivative of -w**2\/2 - 553. Determine q(b(r)).\nAnswer: -38*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyff when four letters picked without replacement from {q: 4, z: 2, i: 5, y: 3, d: 1, f: 5}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 1558*h**2 - 4665*h = 0. What is h?\nAnswer: -1555, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32295 and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -74\nAnswer: 2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 - -12020?\nAnswer: 12040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**5\/4 + 757*d**4\/4 - 743*d**3\/4 - 9853*d**2\/4 + 4728*d - 2268 = 0 for d.\nAnswer: -4, 1, 3, 756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -4. Suppose -2*g = g - 3. What is the remainder when r is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5163 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1a4fd (base 16) to base 9\nAnswer: 173747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 2.9. Let d be (14\/(-455))\/((-2)\/(-10)). Which is the closest to -2\/7? (a) -0.4 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 40 + 13. Let i(b) = -3*b - 1. Let c be i(q). Is 7\/(c\/(-120)) - 4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.430222 decades in centuries?\nAnswer: 0.3430222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 - 1 - 34*o**2 - 34*o**2 + 66*o**2 - 24*o to the form k*o + a*o**2 + u*o**3 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 446\/99 + -2075\/297. Let c(j) = -20*j + 16. Let i be c(10). Calculate the common denominator of w and -2 + i\/(-66) + 0.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 16*l - 55. Let b be h(19). Factor -5*g**b + 3*g**3 - g**3 - 10*g + 3*g**3.\nAnswer: 5*g*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1 - 1402368\/(-21248).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/28 - ((-235)\/(-35) - 4). Let h(m) = m**2 + 5*m - 4. What is h(n)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -766474 - -1?\nAnswer: -766473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 4*l**2 - 13*l + 9. Let d be c(6). Suppose 0 = d*r + 7 - 13. Find the first derivative of 10*z**2 + 15*z**2 - 20 - 8*z**r wrt z.\nAnswer: 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from xxbxxbbboobbxbbo.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-23)\/c**(-7) assuming c is positive.\nAnswer: c**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5)\/(-30)*-2 + (-236)\/(-6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 10*c**2 + 95*c - 50. Let h be w(-10). Factor 1\/2*a**5 + h*a + 0 + 0*a**3 + 0*a**2 + 2*a**4.\nAnswer: a**4*(a + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of w**8\/840 - 2*w**7\/525 + w**6\/300 + 3*w**2 + 9*w. Let r(n) be the first derivative of b(n). What is m in r(m) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d + 8. Let k(x) = -1. Let y(v) = h(v) + 6*k(v). Let c(a) = -26*a - 135. Let p be c(-21). Let r = 413 - p. Determine y(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 1:04 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 10:24 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -49*s**3 + 2*s**2 + 2*s - 2. Let y(f) = -10780*f**3 + 441*f**2 + 441*f - 441. Give -441*o(b) + 2*y(b).\nAnswer: 49*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6472378, -12944756, -19417138, -25889524, -32361914?\nAnswer: -38834308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*((b\/b**(-1\/3))\/b)\/b*b)**(-4\/9)*b**(-2\/33)*b\/(b**(-5)\/b) assuming b is positive.\nAnswer: b**(1753\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 12 = -4*l. Let x = -53352 + 53352.6. What is the biggest value in x, 0.4, l, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of -s**7\/2520 + s**5\/20 - s**2. Let o(g) be the third derivative of t(g). Let n(w) = 7*w. Give n(o(b)).\nAnswer: -14*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-2 - (-3 - 0))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 0 + sqrt(125))*-4*5)**2.\nAnswer: -12000*sqrt(5) + 53600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 7 - (4 + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 27*s**2 - 5*s + 7. Let u(w) = -14*w**2 + 3*w - 3. Suppose 8 - 33 = 5*b. Let h(n) = b*u(n) - 3*z(n). Differentiate h(x) wrt x.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5699\/12 + 1484\/3. What is the common denominator of 71\/242 and w?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4cd - -9?\nAnswer: 4d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 5*c - 23. Let y be l(11). Let t = y + -32. Solve t = 4*v - 0*v - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2473500 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 5\/12 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 6*k**2 - 2. Let b be i(2). Suppose 186 = -20*t + b*t + 3*q, 0 = -5*t + 4*q + 488. Calculate the greatest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 87 + -70. Which is greater: 18 or o?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 181 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1248457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**6*b)\/(b*b**(-4)\/b))\/((b\/(b**(1\/5)*b)*b)\/(b**(-3\/2)*b))*(b*b**(-4\/3))\/(b**(-1)*b)*(b**1)**(-2\/31) assuming b is positive.\nAnswer: b**(-1579\/930)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 3, q: 2, m: 1}. What is prob of sequence bcmc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3424 (base 10) to base 2.\nAnswer: 110101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 5 (c) -4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 261 = -276 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 - 29*q**2 - 298*q - 71. Give x(37).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 273 + -272.691. Let n = 0.409 - r. Which is the nearest to n? (a) 5 (b) -15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4529 is divided by 555.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/44 - ((-55366)\/(-1463) - 44).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 4*r - 22, -2*u + 3*r = 8 - 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 0*o + 13*o)*(-o + 3 - 3)*(-3 + 3 - 1).\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqbqqbqqqwwqdq. What is prob of picking 2 b and 1 q?\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j + 1. Let k be w(2). Let y(p) = -6*p + p**3 - 6 + 16*p**2 + p**2 - 3*p**3 + 16*p. Let z be y(9). Put 4, z, k in increasing order.\nAnswer: z, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (6\/8)\/((-666)\/(-144) - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1329 + 1970. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156820293 to the power of 1\/2, to the nearest integer?\nAnswer: 12523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -697169\/171 - -4077. Let d(c) = -27*c - 188. Let o be d(-7). Is w != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 38, 71, 104, 137, 170?\n\"Answer: 33*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41364.93 nanograms to milligrams.\nAnswer: 0.04136493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 9, z: 9}. What is prob of picking 1 z and 1 s?\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sl when two letters picked without replacement from alnlllsvavoolslasssv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(12\/1596*7)*(4 + -3). Solve 0 = v*n + 75 - 189 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - x + 23 + 26 = 0, 155*k - 153*k + 46 = 4*x for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (-27 - -15) - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 199*x**3 + 10*x**2 + 5*x + 3. Let j(a) = 199*a**3 + 12*a**2 + 6*a + 4. Determine -6*b(r) + 5*j(r).\nAnswer: -199*r**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-55))\/(4\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + s - 4. Let g(v) = 11*v + 41. Let k be g(-4). Let u be q(k). What are the prime factors of u\/4 + 2367\/18?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + p**2 + p**2 + 2*p**2.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (70\/(-3))\/(3\/(-9)). Suppose z - 4*u = a, 259 = -2*z + 6*z + 5*u. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 16, 3*j = 3*g - 4*g - 2. Let w be (-2 + -2 + (j - -8))*2. Solve 15 = -m - w*n + n, 7 = -m - n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12 (b) 8\/7 (c) -7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/2 - 2357*u**2\/2 - 365585*u\/2 + 367941\/2.\nAnswer: (u - 2503)*(u - 1)*(u + 147)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(256) + 2*sqrt(256))\/sqrt(8)*-1 + 5)**2.\nAnswer: -240*sqrt(2) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 345663590 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 99882098 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 1. Suppose -k + j*m = -2*m - 29, -5*k + 70 = -5*m. Find the second derivative of k*p - 3*p - 19*p**5 + p wrt p.\nAnswer: -380*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2309324228 take away 0.08?\nAnswer: 2309324227.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 16 = 4*c, -3*c - 23 = 5*a - 37 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 21*z. Let y(l) = 894*l. Determine v(y(k)).\nAnswer: 18774*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -26 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 100*35075\nAnswer: 3507500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84686063 by -11.\nAnswer: 7698733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -207 + 209. Suppose -n - f = -y, 5*n + 3 = 2*y + 5. Solve j = -y*z + 5*j + 16, z - 8 = 5*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (204\/(-4862)*22)\/(14\/(-637))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*w + 11*w + h + 84, 2*w + 3*h - 54 = 0. Calculate the highest common factor of 9756 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1887, 1890, 1893, 1896, 1899?\nAnswer: 1902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 53*a - 16*a - 16*a.\nAnswer: 10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*sqrt(425) + -2 + (-3*sqrt(425)*1 - (-4 + -2 + sqrt(425) + sqrt(425))))**2.\nAnswer: 1240*sqrt(17) + 408441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, n: 4, s: 1, t: 1, p: 3}. What is prob of picking 1 p, 1 t, and 2 n?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -16 (b) 11 (c) -2\/5 (d) 1\/67 (e) 6 (f) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/1029*30)\/(-5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -8, 1, 5, -50498, 4, 0 in decreasing order.\nAnswer: 9, 5, 4, 1, 0, -8, -50498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2341812, -2341830, -2341846, -2341860?\n\"Answer: a**2 - 21*a - 2341792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 5:43 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - c**2 - 4)*(2719 - 1370 - 1349 - 1287*c**2) in the form q*c**2 + z*c**4 + h + v*c + a*c**3 and give z.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16995 is divided by 1538?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((3402\/(-90))\/27).\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a8562 (base 12) in base 6?\nAnswer: 115231402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14153 - -183987\/13. Which is the nearest to -0.13? (a) 14 (b) x (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = 5*i - 2730. Sort i, 2, 5 in descending order.\nAnswer: i, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701347 divided by 4?\nAnswer: 701347\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*g - 1014 = -48*g. Suppose -7*z + 10*z - g = 0. Which is the closest to -1\/2? (a) 4 (b) z (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*n**3*s - 222*n**3 - 85*n**2*s + 2*n*s + 34*n - s - 3 wrt n?\nAnswer: -228*s - 1332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 AM and 9:25 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w + 18. Let n be l(0). Let h be 2\/(-12) + 39\/n. Let y(f) = 0 + f**3 + 2*f - 2*f**3 - f**2 - 1. Calculate y(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -13*x - 98. Let v be (9 + 0)*9\/(7 - 16). Let z be a(v). Solve 8*w + 21 = -z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 189, 552, 925, 1308, 1701?\nAnswer: 2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l + 15. Let p be b(-5). Let v = -28 + p. Is 17 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 671*z**3 + 6*z**2 - 810*z**3.\nAnswer: -1481*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88389 = -740*a - 3103*a for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -68*j**5 + 547*j**4 + 151480*j**3 + 2565348*j**2 + 4430016*j - 200448 = 0.\nAnswer: -24, -2, 3\/68, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2 - 2)*((12*w - 9*w - 6*w)*(2 - 3 - 1) - 426 - 35*w + 424 + 2*w).\nAnswer: 27*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-5)*24645\/42718)\/(14\/13).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -0.01, 5\/6, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3690309898 a multiple of 8618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/3 + 14\/(-21). Factor -r*k**4 - 2*k**3 + 0 - 2*k**2 - 2\/3*k.\nAnswer: -2*k*(k + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = -0*t. Let n = t + -1. Suppose -2*w + 95 - 1 = n. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1888.0000010955 - -1888. Round j to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 473 divide 19500791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 4:39 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 217628*x**2 + x**5 - 1894*x**6 - 225813*x**2 - 1556*x**6 - 1 wrt x?\nAnswer: -414000*x**3 + 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 535646 and -161572.\nAnswer: 374074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 + -70. Suppose s - 4*s = -3. Let q = 137\/6 - 64\/3. What is the closest to s in i, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3156)\/5260*400\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 12 + 4 + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13023.42 tonnes to milligrams.\nAnswer: 13023420000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 54 + 9 + 54 + 2 + 8*h as y + u*h and give y.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -68*d + 1879. Let u be v(27). Solve 53 = -u*o - 76 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*16\/(-12) + (69 - -1). Are 66 and n non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + (0 - 3\/(-1)). Put -5, 4, s in ascending order.\nAnswer: -5, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -18*q**3 + 34*q**2 + 34*q - 34. Let j(i) = -i**3 + i**2 + i - 1. Give -204*j(f) + 6*r(f).\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is bb2c1 (base 13) in base 16?\nAnswer: 52b91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 21*d + 23*d - 6*d**2 - 8 + 2. Let t(y) = y + 12. Let u be t(-6). Calculate j(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -226\/111 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o - 1. Let x(h) be the second derivative of 5*h**3\/6 + h**2 + 206*h. Let b = -10 + 6. Determine b*x(r) - 11*f(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*x - 23, 4*k = 3*k - 4*x + 22. Suppose -k*q - 5*m - 410 = -7*q, 3*q = 4*m + 245. Calculate the remainder when q is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:18 PM?\nAnswer: 5:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-85)\/10*10)\/(30\/(-12))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*a = -1584*a - 36 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -574 + 36 + 113*u**3 - 526 + 723*u - 125*u**2 - 112*u**3 - 7 = 0.\nAnswer: 3, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134064 and 38?\nAnswer: 134064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -5*u**3\/6 - u**2\/2 - 2*u. Let w be c(-1). Suppose -w*j = 2*n - 66, 0 = -2*j - j - 3*n + 54. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139\/658 - 7\/94. What is the nearest to 1\/4 in r, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**0)*d))\/(d*(d\/d**(-4\/5))\/d))\/((d**4*d)\/d*d**(-4)\/d) assuming d is positive.\nAnswer: d**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 393, 591, 789, 987, 1185?\nAnswer: 1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3*m = -5*s + 14, -2*m - 9 = -3*s. Let y(u) = -u + 15. Let a be y(-8). Suppose -d + 0*d = 5*x + a, 59 = -5*d + 3*x. Is d less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*z + 8, 2*z = 4*t - 1714. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11801917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svvvvvvvvvs. Give prob of sequence vvss.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -108?\nAnswer: -108.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-320 + 191 - 224 + (-4 + 0 + 3)*(2 - 3 + 2) - 5 + 1 + 0)*(0*h + 0*h - h**4) + (-h - 5*h + 3*h)*(-3*h**3 + 3*h**3 + 2*h**3) + 0*h**4 - h**4 + 0*h**4.\nAnswer: 351*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351357 is divided by 120.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2328739 is divided by 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -25*v - 36. Let x be o(1). Sort 1, x, -0.2 in descending order.\nAnswer: 1, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17323182 * -0.5\nAnswer: 8661591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -3319d5f?\nAnswer: 3319d60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2147 = -165*l + 1808 + 5454 for l.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10353736 by -73.\nAnswer: -141832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 - -70. What are the prime factors of i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of 22 - i**2 + 4\/3*i**3 + 0*i. What is the second derivative of r(l) wrt l?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -249, -210, -141, -48, 63, 186, 315?\n\"Answer: -y**3 + 21*y**2 - 17*y - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1298, -2040, -2768, -3476, -4158, -4808?\nAnswer: -5420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/7)\/(-27*(-2)\/18)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 1:35 PM?\nAnswer: 3:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 30 - -1 - -52 - 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 0.9, -17.7, 4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jfp when three letters picked without replacement from ipjfjp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -5 - 3. Suppose -3*d + 2*i + 0*i = 2, c*i - 2 = -5*d. Suppose d*l = 4*l - 36. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1810657*b + 3621313*b + b**2 - 1810656*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71864560 by -4491535.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*l = 479*l - 150 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of 32*u**3\/3 - 337. Let c(w) = 11*w**2. Calculate s(c(q)).\nAnswer: 3872*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/210 and -77\/16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 2*r**7\/21 + 9*r**6\/10 + 13*r**5\/4 + 31*r**4\/6 + 2*r**3 - 4*r**2 - 3*r - 266. Factor x(s).\nAnswer: (s + 1)*(s + 2)**3*(4*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/7 - 13*q**4\/7 - 9*q**3\/7 + 41*q**2\/7 + 62*q\/7 + 24\/7.\nAnswer: -(q - 2)*(q + 1)**3*(q + 12)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 13946*o**3 + 139464*o**2 - 334664*o - 96 = 0?\nAnswer: -12, -2\/6973, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.832217l in millilitres?\nAnswer: 832.217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*v - 5885 = -655, v + 13041 = 5*g. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nef when three letters picked without replacement from {f: 4, e: 1, n: 3, j: 8, a: 3}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 4*y - 16, -2*y + 4 = -3*k - y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63340619 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: Calculate the remainder when 19654471 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*z + 0*z + 605065 - 605081 in the form p + a*z and give p.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - r - 34 = -5*i, 59 = 5*i - 4*r. Let d = -7 + i. Let l = 14 + -11. Solve -j + l*b - d = 10, 0 = -3*j - 2*b + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a - 2. Let n = -3400 + 3398. Let t(w) = -19*w + 5. Give n*t(m) - 5*u(m).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**6\/120 - 7*n**5\/60 - n**4\/4 + n**3\/3 - n**2. Let s be b(-6). What is the greatest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.3, 2\/143, 2?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 14*t + 3.\nAnswer: -14*t + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 2149668*w**3 + 385091525514*w**2 - 770176602036*w + 385087226187.\nAnswer: 3*(w - 358277)**2*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 15*u**2 + 4*u - 6. Give h(-3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -1179*c + 1 + 1174*c + 31. What is k(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222874 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 5:15 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31551 is divided by 196.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 13*i + 843*i**3 + 13*i + 116*i**3.\nAnswer: 959*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 5*o**2 + o. Let w be s(5). Let r(j) = j**2 - 5*j. Let u(i) = i**2 - 1. Let b be u(2). Let n(x) = 3*x - b + 3 - 4*x. Calculate w*n(c) - r(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m + 49. Let p be y(-23). Suppose 0*z - 66 = -p*n + z, -5*z - 99 = -4*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/22 + (-76)\/836. Suppose r - 3 = -4*m, 4*r - 12 = -m - 3*m. Solve b = 3*c - 8*c - 4*u + 6, c + r*u - 10 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:38 PM and 7:03 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82566.\nAnswer: 2, 3, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -991\/8058?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3867*l**3 - 136*l**2 - 12*l - 5. Let d(k) = 5801*k**3 + 208*k**2 + 17*k + 7. Let v(u) = -10*d(u) - 14*z(u). Solve v(s) = 0 for s.\nAnswer: -1\/44, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400668176.\nAnswer: 2, 29, 863509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42a08 (base 11) to base 6.\nAnswer: 1201032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196 and 748916?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 91.66 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -14. Solve -h - f = h + 2, -4*h + o*f + 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgh when three letters picked without replacement from {h: 1, g: 6, p: 4, l: 5, r: 3, f: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*o**2 + 363*o - 363*o as k + m*o**2 + w*o and give m.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a factor of 27434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11770 or 11768?\nAnswer: 11768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -712*c + 1. Let o(f) = 712*f - 1. Let p(x) = 2*h(x) + 3*o(x). Let z be p(1). Suppose 5*i - 214 = z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five fourteenths of a week in minutes?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 164)*((-9)\/(-2) - 2). Let k = -184 - s. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/25 (b) -408 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - 17. Let z be (-24)\/v*(-10)\/(-4). What is the first derivative of 7 - 3 - z*u**2 + 1 wrt u?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2776958, 11107833, 24992624, 44431331, 69423954, 99970493, 136070948?\nAnswer: 177725319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**2 - 12*f**2 - f**2 - 7*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of -v**3\/3 - 7*v + 1. What is the first derivative of g(d) wrt d?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(7 + (-69)\/9). Let x(y) = 5*y**2 + 14766 + y**r - 6*y - 14763. Let s(b) = -b**2 + b - 1. Determine 4*s(c) + x(c).\nAnswer: 2*c**2 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -75568 + 0.2?\nAnswer: -75567.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.4 (b) 8 (c) 17\/4 (d) -6 (e) -2.51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5550 - 5540. Solve -940 + 970 = -c*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-126) - 150\/(-385).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3255*t**3 + 280*t**2 - 280*t. Let x(g) = 35*g**3 + 3*g**2 - 3*g. Determine -3*b(u) + 280*x(u).\nAnswer: 35*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 255523 (base 6) in base 16?\nAnswer: 5b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u - 8. Let j be o(-6). Suppose -11*k + 1038 = -392. What is the highest common factor of k and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71806 or 501?\nAnswer: 501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -22320 (base 6) in base 10?\nAnswer: -3144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*t**3 - 9*t**3 - 16*t**3 + (-t**2 - 4 + 4)*(-3*t - 3*t + 2*t) - 30*t**2 - 27*t**3 + 30*t**2 to m*t**2 + q*t**3 + w + j*t and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -596, -5242, -18208, -43766, -86188, -149746, -238712?\n\"Answer: -712*j**3 + 112*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -409060*v**4 + 578715*v?\nAnswer: -4908720*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2*189533\nAnswer: 379066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -57.202?\nAnswer: 171.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 800, 3040, 5280, 7520?\n\"Answer: 2240*l - 1440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 134466 + -3?\nAnswer: 134463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -35, -41, -47?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9432700 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -3058*v**2 + v - 1. Let i be r(1). Let j = -2097 - i. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 3, a: 3, i: 2, n: 1}. What is prob of picking 1 a, 2 z, and 1 f?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1319031299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(2016) + (sqrt(2016) - (sqrt(2016) - 2*(sqrt(2016) + sqrt(2016)*1))) + sqrt(2016))\/(-6*sqrt(10)\/((sqrt(50) - sqrt(450))\/sqrt(10))).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 5\/4*i**4 + 2*i**2 - 4 + 0*i**3 + 0*i. Find the second derivative of p(w) wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*m = 1 + 15, -x - m - 3 = 0. What is the closest to -2\/7 in x, 3, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 4 = 48. Suppose q*r = -u + 1372 + 2737, -5*r - 4*u + 10277 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 divided by 24?\nAnswer: 81\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*l**2 - 325 - 165 - 174 - 133*l**2 + 65*l**2.\nAnswer: -3*l**2 - 664","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2880 - -2899. Solve -29*q - 40 = -r*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: b\"What is the nth term of 16372, 30209, 44044, 57877, 71708, 85537, 99364?\n\"Answer: -n**2 + 13840*n + 2533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 556 is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -68, 4, -2865\/11?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 107, 374, 819, 1442?\n\"Answer: 89*l**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(190) + sqrt(190))\/(sqrt(70)\/sqrt(112)) - (sqrt(114)*-1*6)\/(sqrt(30)\/sqrt(5)*1).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/32310 and -121\/267559110?\nAnswer: 267559110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/(-64)*1*-1*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - i - 12)*(-i + 4*i - i)*(5*i**2 + i**2 - 4*i**2).\nAnswer: -4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -18*h - 2*q, 11 - 19 = -3*h - q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {n: 1, p: 5, a: 4}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(108) - sqrt(108)*2 - sqrt(108))*-4)\/(2*sqrt(486) - sqrt(486)))\/((sqrt(726) - (sqrt(726) + sqrt(726)*-2*1))*-6))**2.\nAnswer: 4\/29403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 37 + -5 - 5 - -2. Suppose 0 = -b + 2 - 4. Let a = d + b. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from brjyjyrp. What is prob of picking 2 j, 1 r, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) -2\/77 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = q + 22. Let i be 3\/12 - q\/4. Suppose l + 4*l = -2*t, 4*l + 23 = i*t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 96? (a) 3 (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 353102 (base 8) in base 6?\nAnswer: 2325202","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478473.\nAnswer: 3, 159491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47066.2, -0.07, 5, 0.04, 0.\nAnswer: -47066.2, -0.07, 0, 0.04, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3379 times -6?\nAnswer: 20274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 47*d + 482. Let f be p(32). Let z = -71\/35 + 17\/7. Factor 1\/5*i**3 - 3\/5*i + 0 - z*i**f.\nAnswer: i*(i - 3)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z - 725 - 835 + 1561 + 11*z.\nAnswer: 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 600 divide 2203526400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 11:36 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(684) - (3*(sqrt(684) - ((sqrt(684)*-2 - sqrt(684)) + sqrt(684))) + sqrt(684)))*-4)**2.\nAnswer: 886465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87828.04 millilitres to litres.\nAnswer: 87.82804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1059, -407, 247, 903, 1561, 2221?\n\"Answer: o**2 + 649*o - 1709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 442001.\nAnswer: 7, 233, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**5*h*h*h*h**(-1\/6)*h**(1\/7)\/(h*h\/(h\/h**(-1\/2))))\/(((h\/h**(-9))\/(h**4\/h))\/(h**(-1\/3)\/h)**(5\/6)) assuming h is positive.\nAnswer: h**(23\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + v + 0*v + (0*v + 0*v - v)*(-2 - 1 + 2) + (3 - 2 - 4)*(-7*v + 2*v - v).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*o - 3*o + 2*o**2 + 0*o**2 - 2*o**2 + o**2 + (-2*o + 2 - 2)*(2 - 2 + o) + 0*o**2 - 2*o**2 + 0*o**2 + (o**2 - o**2 - o**2)*(9950 + 8681 - 15565).\nAnswer: -3069*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3525 and 425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l = -18 + 354 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/5)\/(4\/180). Let a be (u\/(-5))\/(15\/450). What is the highest common factor of a and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/8 - (6 - (-2161)\/(-4)). Suppose 0*c = -c - 4*h + 131, j = 4*c + 5*h. Suppose 41 = 5*l - 34. Calculate the greatest common factor of l and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1158*d = 1166*d + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 2*n - 8 = 0, -4*q = n - 2681 + 2685 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 132634 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1617) - (sqrt(1617) + (sqrt(1617) - (sqrt(1617) + sqrt(1617)*2 + sqrt(1617)))) - sqrt(1617))\/((sqrt(132)\/sqrt(4))\/sqrt(11)))**2.\nAnswer: 2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*r, u - 53 + 33 = -4*u - 5*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64 - -36. Let z be (2 - 2) + a\/(-2). Is (12\/(-14))\/((-2)\/z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f + 21*f - 64*f + 20*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2215023 - -12?\nAnswer: 2215035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, g: 5}. What is prob of picking 1 g and 3 c?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16d + 142ff?\nAnswer: 1446c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of x**4 + 61678278*x - 117804643?\nAnswer: 4*x**3 + 61678278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 129470251 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*g**2 + 6*g**3 - 100*g**2 + 0*g**3.\nAnswer: 6*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - 3\/(-12)*23. What is the closest to m in -0.1, 5, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-3)\/12*0. Let v = -6297\/3284 - -2\/2463. Let r = v - -425\/84. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 120 = 15*i + 13*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1434 and -23\/9372.\nAnswer: 2239908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*k = 18. Let z be 8*(k\/(-2) - (-44)\/11). Calculate the greatest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 30 + (-3 - -41 - 28).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-14)\/10) + -1. Suppose 2 = -2*u - 0*u. Which is the closest to 3? (a) z (b) u (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + 0)*-5 + sqrt(7) - (sqrt(21)*-1)\/sqrt(3) - -5*sqrt(14)\/sqrt(2)*-5)*1.\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27736.8 times -2833?\nAnswer: -78578354.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*h + 3*h - h)*(1 + 1 + 0) + (4 + 3 - 13)*(2 - 2 - h) + 2*h + 4 - 4)*(6 - 6 - 7).\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -71 - -278. Let b = 1738 + h. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**5\/15 + 30*g**4 - 33724*g**3\/15 + 950332*g**2\/15 - 3099158*g\/5 + 8380418\/15 = 0. Calculate g.\nAnswer: 1, 23, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13506 (base 8) in base 5?\nAnswer: -142313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 79 = -7*f, 72 = 4*f - 37565*c + 37560*c for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 308, 181, -6.\nAnswer: -6, -3, -1, 181, 308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - t + 1 = 0, -2*l + 3*t = -47515 + 47518 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - h + 4*h - 3, 0 = -2*b - 4*h + 14. Let t = 11 - b. Suppose 0 = 2*q - 6*q + t. Solve s - 5*s - q*l + 2 = 0, 2*s - 4*l = 16 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830*u = 562*u + 324280. Calculate the greatest common divisor of u and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*f = 20, -3*g - 3*f = -0*f + 12. What is the units digit of 0 - g\/(-2) - -29?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/5388 and -17\/5388.\nAnswer: 5388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8) + (2205\/35 - 46 - 387\/24).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4768 and -614?\nAnswer: 2927552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -216\/97 - -1909\/291. What is the nearest to -0.1 in 0.2, -4, 0.4, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7381259?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -319716 + 92640069.\nAnswer: 92320353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 7 + 31 = 0. Let r = n - -23. Solve -r*u + 9*u + 2 = 2*o, 0 = -3*u - 2*o - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-15))\/((-1)\/15). Let z(h) = -h - 5. Determine z(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1867 and 0.05?\nAnswer: -93.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/(-18))\/(8\/(-12)))\/(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -2*d + 17*d - d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -1\/14*n**3 - 1\/84*n**4 - 2*n - 73 + 2\/7*n**2. Suppose s(r) = 0. Calculate r.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 12*q = -45. Suppose 0 = 5*x + 4*u + 10, -2*x + 7*x = u + q. Suppose -3*l = 3*a - l - 21, -a + 7 = x*l. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 546, 498, 422, 318, 186?\n\"Answer: -14*l**2 - 6*l + 566","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of c**6\/120 - 7*c**5\/60 + 3*c**4\/8 - c**3\/3 + 10*c**2. What is p(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -197 in 3, 0.1, 2, 0, 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0*m + 5*w - 64, 5*m - 70 = -w. What is the remainder when 50 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*u, -o + 4*u + 1119 = u. List the prime factors of o.\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -862047.6 to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, v: 13}. What is prob of picking 1 o and 1 v?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/12*-3*(-9 - -5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4485 and 2558.\nAnswer: -1147.263","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/10, 5, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) 1\/9 (c) 29\/17 (d) 0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-478)\/(-14) + (-204)\/(-238). Let d be (p\/5)\/(-7)*-1. What is the closest to d in -0.49, 5, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1839887?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101010 (base 2) to base 8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 10*g**3 + 1257291*g**2 + 1383009*g + 125728 = 0?\nAnswer: -125728, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 452.322397 rounded to two decimal places?\nAnswer: 452.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 26*o**2 + 122*o + 63. Let g be y(-30). Solve 0 = 3*d + 5*l + 13, -5*d - g*l + 2 = -3 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/40*-1)\/(-2).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 4*y**2 + 8*y + 12. Give v(-4).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -n - n - 2*t, -4*n = t - 12. Which is the second smallest value? (a) -1\/5 (b) 0.6 (c) n (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**3 + q**3 + 0*q**2 - 1 - q - 3*q**2 + 6*q**2. Is j(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6\/349, -1\/4, -3\/2, -1\/6, 4, -0.1?\nAnswer: 6\/349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -6746388?\nAnswer: -6746383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*g - g - 7*g + (-g + 0 + 0)*(-1 + 1 - 1) - 2*g + 4*g + 2*g - 1 + 1 + 2*g + (0 + 1 + 1)*(4 - 4 + 2*g) + 0*g + 0*g + 2*g)*(-36 - 37 + 31).\nAnswer: -420*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 4*i + 1430. Let x be o(0). Suppose x = 4*b - 4*q - 334, -1319 = -3*b - q. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04553238 rounded to five dps?\nAnswer: 0.04553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 121*f**3 - 83*f**3 - 46*f**3 - 2*f**2 + 27*f**4 + (0 + 0 + f)*(4*f**3 - f**3 - f**3) + 6*f**4 - 3*f**4 - 2*f**4.\nAnswer: 30*f**4 - 8*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and -677.3.\nAnswer: -50797.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 7*d = -9. Let m(g) be the second derivative of -5*g**3\/2 - 3*g**2\/2 - g. Let w be m(d). What is the highest common divisor of 28 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260 - -51. Is b\/(-6) + (-1)\/(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ze when two letters picked without replacement from {j: 1, u: 2, c: 3, z: 3, x: 3, e: 1}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119 + 375 = -53*x + 176 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 11:43 AM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1624676229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -33 - -33.1. Let x = 3 - 7. Which is the closest to -4\/5? (a) x (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 2*i - 132 - 58 = 0, 4*r + 149 = i for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-132)*605\/(-10))\/((-9)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lataaalttattt. What is prob of picking 1 t and 1 a?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 AM and 9:18 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 285937447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10253281.\nAnswer: 31, 113, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/400 at most -1.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 7*m**2 + 10*m. Let o be c(5). Suppose o = -21*z + 12*z + 540. Calculate the greatest common factor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 10 = 5*q, -3*y - 5*q + 5 = -2*y. Suppose 3715 = -0*n + y*n - 5*p, 2*p - 1486 = -2*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 613161?\nAnswer: 3, 193, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 7. Let d be (-10)\/6*63\/35. Let l(n) = n - 1. Determine d*v(m) + 21*l(m).\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1471*w - 1490*w - 1493*w - 1476*w + 7489*w - 1530*w.\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-40)\/12*9\/(-5). Suppose -3*n + 18 = -a. Let z(o) = 6*o**2 + 8*o - 16*o + n*o. Let q(g) = 2*g. Give q(z(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 8*k - 40. What is p(18)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**5 - 5711*u**4 - 22854*u**3 - 34286*u**2 - 22859*u - 5715.\nAnswer: (u - 5715)*(u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 2022212200?\nAnswer: -2022212130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39873*l**3 - 72*l**2 - 39873*l**3 - 1278*l**4 + 1264*l**2 wrt l.\nAnswer: -30672*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1241 + 1244. Suppose 0*v + 4*v = 8. What is the remainder when m is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8 (b) 3\/716 (c) -4\/7 (d) 0.3 (e) 1\/5 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6) + (-12 - -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -j + 7 - 2, -4*j + x + 10 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 + 3*i**2 - 26*i - 42. Let y be h(-6). Put y, 1, 0, 7 in decreasing order.\nAnswer: 7, 1, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1)*2 + -110. Let j = r - -32. Let t be -42*4\/j*2. Which is bigger: 3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -276584230281.000000073 - -276584230491. Let f = 210 - m. What is f rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -843*r**3 + 843*r**3 + r**4 + 5 + 3 with respect to r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 772 - 4?\nAnswer: 76c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.05, 2\/65741, -14\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17909 (base 15) to base 9.\nAnswer: -125570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 12:41 PM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/7)*r))**(1\/6)*(((r\/(r\/r**3*r))\/r*r)\/r)\/(r*(r\/((r*(r\/(r\/(r\/(r**(-6)*r))))\/r*r*r)\/r))\/r) assuming r is positive.\nAnswer: r**(146\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/14 and 57\/178.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 62 - 64. Let u = q - 84. Let f = u + 85.99748. What is f rounded to four decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -41 - -3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) 595 (c) -11 (d) -5 (e) -2 (f) 0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/540 and -119\/330.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 - 850779 - 850794 + 1701573.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:10 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.01 - 0.01. Let f = 2.1 - s. Suppose 5*d - 12 = -u, 3*u = 3*d - 4*d - 6. What is the biggest value in u, 3, f?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, m: 1, k: 9, u: 2}. What is prob of picking 2 q, 1 m, and 1 u?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/21 - 9\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3, 2, 0, 0.33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 3*d**2 + d + 2. Let g be k(-2). Let y(o) = 2*o - 1. Let z be y(g). Let m = z + -4. Let x(i) = i + 1. Calculate x(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18565, 18559, 18555, 18553, 18553, 18555, 18559?\nAnswer: 18565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-46 - 292 + 7)*(0*n + 5*n - 4*n) to the form f + h*n and give h.\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/844 and -103\/44.\nAnswer: 9284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.17 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 570 + -395. Let m = h - 174.99574. What is m rounded to 4 decimal places?\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5610942.\nAnswer: 2, 3, 23, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Are 14817717 and 14817717 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 2*u**3 - u**2\/2 + 7*u - 7. Let i = 8 - 14. List the prime factors of q(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 3*g**5\/2 + 27*g**4\/4 + 6*g**3 - 6*g**2 + 49. Determine i so that m(i) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212004 (base 6) to base 2.\nAnswer: 100001110000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a. Let i(j) = 2956*j. Let s(w) = -329*w. Let z(f) = -6*i(f) - 52*s(f). What is z(k(h))?\nAnswer: -628*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from {y: 5, v: 6, o: 2, c: 2, p: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 871 + -871.2. Is h < 925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127219356 and 12850440?\nAnswer: 1272193560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-1)\/(-4)*2. Let k = 25 - 6. Calculate the remainder when o + 38 + 0 - 0 is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*r**4 + 9*r**3 - 43*r**2 + 2 wrt r?\nAnswer: -408*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -9*m + 96. Let x be g(0). Let f be ((-4366)\/354)\/((-1)\/x). What is the highest common divisor of f and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -22033?\nAnswer: 22033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11*l*p*z**2 + 4*l*p*z + 41*l*p + 21*l*z**2 + 2*l*z - 29*l - 14*p*z**2 - 24*p*z - 5*z**2 + 7 wrt z.\nAnswer: -22*l*p + 42*l - 28*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 + 15*p**2 - 16*p + 50. Determine z(3).\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13\/6 + -17\/6. What is the nearest to -0.1 in 4, 2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 1:17 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-13) + (-453)\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from joo. What is prob of sequence jo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -5, 7, 12357, -4, 0.\nAnswer: -5, -4, -2, 0, 1, 7, 12357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 38*k**5 - k**5 - 8*k**5 + (0*k**4 + 3*k**4 - 2*k**4)*(-2*k + 2*k + k).\nAnswer: 30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37485)\/2940*(-21)\/(-9)*(-3)\/((-63)\/(-12)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 255 - 12?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 20.988. Let q = -0.0204 - u. Round q to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-114)\/190*(-4)\/366. Is 1 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 28 = -2*o, 2*o - 31 = -5*l - 17. Calculate the remainder when 623 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*s**4 + 430 wrt s.\nAnswer: -844*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 + -0.69. Put 1\/6, h, -2\/9, 4 in descending order.\nAnswer: 4, 1\/6, -2\/9, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 50 - 2*(-15)\/(-10). Let q = a + 19. List the prime factors of q.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -76.3 + 79.3. Which is the third biggest value? (a) 15\/4 (b) 3\/2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 5 + 0)*(f + 1 - 1)*(6004*f - 908 + 908) to p*f**2 + x + c*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*w + 2604 = -7*w + 1064 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2 + 1 + 11*n**2 - 7 - 16*n - 3 - 21*n**3. Let d(h) = -4*h**3 + 2*h**2 - 3*h - 2. Let a = 15 - 11. Let l = -6 + a. Give l*q(s) + 11*d(s).\nAnswer: -2*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199.8 + -200.8996. Let f = -1.1 - b. What is f rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*s**2 - s**2 + 4*s**2)*(3 - 95 - 90)*(2 + 0 - 4)*(s - 1 + 1) to p*s**3 + z + n*s + b*s**2 and give p.\nAnswer: -2184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-412)\/(-68) - (10 + 128)\/23.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1086*j - 180 = -1041*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 28 = -5*f, -125 = -3*f + 3*g - 131 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -28.5. Let p = -2322 + 2321.5. Let f = 58\/33 + -34\/11. What is the nearest to p in f, l, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 939913 and 221?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -5, 6.\nAnswer: -5, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75701 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 74*r - 1554 + 1554.\nAnswer: -3*r**3 + 74*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 182754 divided by -6?\nAnswer: -30459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73219208 and 536?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -8*w**2 - 2 + 2 + 3*w**2. Let z(t) be the first derivative of t**4\/6 - 19*t - 2. Let i(l) be the first derivative of z(l). Give i(u(g)).\nAnswer: 50*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 8*h**2 + h - 11. Let q be l(-8). Let w = -10 - q. What is the units digit of 331\/w + (-34)\/(-153)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of -5*p**7\/84 + p**6\/4 + 17*p + 6. Factor f(x).\nAnswer: -5*x**4*(x - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16024 - 5763. What are the prime factors of q?\nAnswer: 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3\/3 - 333042568*w**2\/3 + 6932334839294720*w\/3 - 13864668346419200\/3 = 0. What is w?\nAnswer: 2, 41630320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 7*z**2 + 2*z + 6. What is the remainder when w(-5) is divided by (-1771)\/(-110) - 2\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.8069167 to 1 dp.\nAnswer: 30.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 - (-2740 + 16\/4) - 4. Suppose -w = 5*g - 385 - 512, -4*g - x = -3*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qf when two letters picked without replacement from vfzffzfvqfqzzqvfvf.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**3 + 11*b**3 - 6*b**3)*(2 - 4 - 5) to the form y + h*b**3 + l*b**2 + t*b and give h.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -16 - 7) + (-4 - 3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282\/5 - -56. Let n = 0.02 - 0.12. Let s = -0.144 - -1.344. Which is the third biggest value? (a) n (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -592 and 0.3.\nAnswer: -177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**3 - 13*z**2 + 32 - 32)*(5*z - 2*z - 2*z).\nAnswer: 2*z**4 - 13*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1848, 2259, 2944, 3903?\n\"Answer: 137*i**2 + 1711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 10:57 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*z + 1410 + 4706. Let i = -276 + z. Let v(h) = -h**3 - 2*h**2 + h - 4. Let r be v(-3). Solve -i*a + 9 = a, 4*a = -r*y + 22 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12251455*j**5 + 17842978*j wrt j.\nAnswer: -245029100*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993859 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (115 - 67 + 102)*(-6 + 2 + 3)*(-6 + 9 - 12)*(m + m - 3*m) as h*m + z and give h.\nAnswer: -1350","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 30 = -l. What is the greatest common factor of 90 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*c**3*u**3 + 3*c**3*u**2 - 7*c**3 + 10*c**2 wrt u?\nAnswer: 6*c**3*u**2 + 6*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 27*r. Let l(h) = 4*h**2 - h**2 - h**2 - 3*h**2. Determine d(l(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 63*n**2 + 2301*n - 95. Is v(-94) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -311428 - 11*p**2 + 311428 + 10*p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -163\/9 + 643\/36. What is the nearest to -0.1 in -5, -3.8, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.067 + -8.667. Let b = -10.6 - i. Is 0.03 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*g - g. Let x be g + (-4)\/((-16)\/12). Solve -2*b + x = 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*t**2 + 0)*(-9 - 3 - 1)*(-1 + 20 - 2) - t - 2*t**2 + t.\nAnswer: -444*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 + -16.52504\nAnswer: -16.72504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5*o**3 + 2*o**2 + 4*o**3 - 2*o**3 - 1 in the form t + p*o**2 + c*o**3 + r*o and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -214 - -269. Suppose -91 - 14 = -3*b + 3*l, 0 = -b + 5*l + n. What is the least common multiple of b and 123?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1079*z - 2047*z + 1747*z**2 + 960*z to the form p + l*z**2 + t*z and give l.\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 432*m = 440*m - h + 8, 0 = -29*m + 4*h - 3*h - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 7.8. Sort 0.1, g, -2\/13 in ascending order.\nAnswer: -2\/13, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*n - 512, 4*b - 3*n + 0*n = 492. What is the greatest common factor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-6) + (-2 - -5). Let j be ((-35)\/(-21))\/((-15)\/(-36)). Solve 3*n = 5*h - 4*h + 4, j*n = 3*h - x for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3372609 to the nearest integer?\nAnswer: 1836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y + 2*y + 204 + 8*y)*(-y**3 + 6*y**4 + y**3).\nAnswer: -12*y**5 + 1224*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/4341 and -55\/18?\nAnswer: 26046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 35, -57, -195, -385, -633?\nAnswer: -945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8561, 5, 0.2, -2\/3 in descending order.\nAnswer: 8561, 5, 0.2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -917, -916, -915, -914, -913?\nAnswer: -912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-560)\/(-64)*(-264)\/(-110).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = -2*i, 69*z + 5 = 68*z - 4*i. Let j(k) be the first derivative of -1\/4*k**4 + 18 + 9\/2*k**2 + 9*k - 2*k**z. Calculate j(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 295 and 37406.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 4. Let h be m(0). Suppose t - 2*p = -6*p + 29, -2 = 2*t - h*p. Let j(o) = o + 7. What is the remainder when 30 is divided by j(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.01 + 0.11. Let z = -4 - r. Let q = -0.05 + 3.05. Which is the nearest to z? (a) -0.5 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = k. Let u = -0.72 + 5.72. Which is the nearest to -10? (a) k (b) -0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 47*s - 1376 = 244. Calculate the greatest common factor of 6021 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -59577031\/1044 + 228265\/4. Find the common denominator of 31\/1044 and a.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*o + 78*o = -15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 1. Let m(s) = -3*s - 2. Let z(y) = -2*a(y) - m(y). Let h(j) = -222*j - 233*j + 453*j. What is z(h(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1463057*120\/1520*14\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0084122 + 21456536.\nAnswer: 21456536.0084122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 1.6. Let m = -6.4 - a. Which is smaller: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -5*y**3 - 15*y**2 - 20*y + 41. Is r(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of 85*o**8\/336 + 59*o**4\/24 - 35*o**2. Find the second derivative of f(w) wrt w.\nAnswer: 1700*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 38 = -12. Solve -z = 4*c + c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1620371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*x**2 - 10*x**2 + 8*x**2 to the form o*x + k*x**2 + j and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 903606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - 96. Suppose 0 = -3*q - d + 14, -f*q - 40 = -8*q - 5*d. Suppose q*t + 348 = t. What is t rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 4 - 2)*(-y**2 + y**2 - 2*y**2) - y**2 + y**2 - y**2 + (0*y + y + 0*y)*(-1 + 1 - y) + 3*y**2 - 6 + 6)*(-y - 4 + 4)*(3 - 2 + 5).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-639)\/5112*(5\/7 + -1 + 156\/7).\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/692571 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678 + 0.365448.\nAnswer: -677.634552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 103, -0.4, 0.02 in ascending order.\nAnswer: -1, -0.4, 0.02, 5, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2485 + 2515. Let m be (-10)\/(-70)*(206 + -1). Is m at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15 + 1 + (-4 - -4). Let l = 5 - 3. What is the greatest common divisor of l and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19513399 and 323?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 - -7819?\nAnswer: 7813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 260\/301 smaller than -1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7249463 and 21.\nAnswer: 152238723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*z = -7854 + 9746 for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 206509, 413026, 619543, 826060, 1032577, 1239094?\nAnswer: 1445611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125300)\/(-42960)*(-9)\/(-14)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)\/(k\/((k\/k**(-3\/5))\/k)))**(-1\/13)*k\/(((k*k**1*k*k)\/k)\/k)*k*k**(-6)*(k\/k**(2\/9))\/k*k**(-2\/3) assuming k is positive.\nAnswer: k**(-3967\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 3:51 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - t + 680, 2*t - 482 - 202 = -4*r. Which is bigger: r or 168?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8956.144mg in tonnes?\nAnswer: 0.000008956144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23440000 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 - 25*s**2 - s - 63. Calculate h(-25).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iie when three letters picked without replacement from iveeied?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 14*z**2 - 13*z - 8. Determine l(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 71 - 69 + 153 + w + 221 + w**2. Let k be f(0). Suppose -k = o - 5*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.12 (b) 1\/4 (c) 5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 14 + 2 = 0. Suppose 0 = m - 5, 5*g + 3*m = o*g + 75. Calculate the least common multiple of g and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**3 + 56*j**3 + 26*j**2 - 26*j**3 - 332*j - 5*j**3.\nAnswer: -2*j**3 + 26*j**2 - 332*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 13. Give u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -90 - 1491.\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + t + 60. Is 3 a factor of t\/(-9)*(-72)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 12:32 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g + 3 = 0, -4*g = 5*x + 119. Let y be (-1)\/(4 - x\/(-6)). Calculate the least common multiple of (9\/y - -3)*80\/6 and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 122 = 5*k, -k + 5*x = 2*k + 51. Suppose y = -y + 76. Let j = k + y. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 11:57 PM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000534 to 6 dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*7\/(70\/36). Suppose 5*a = w - 3. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 6538, 6970, 7378, 7768, 8146, 8518?\n\"Answer: i**3 - 18*i**2 + 479*i + 6076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*s + 5, -5*s - 5*q = -20 - 0. Suppose 0 = -2*k - 1 - s. Let i = -3 - k. Is -3 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -34193.\nAnswer: 9\/34193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/11286 and -163\/30096.\nAnswer: 90288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**4\/3 + 2*f**3\/3 - 7*f**2\/3 + 4*f\/3 = 0?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 126931.32.\nAnswer: 38079.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rerrrrrreerrrerrrr?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 7 + -3 + 68. Calculate the greatest common factor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -66*b - 260. Let s be q(-4). Solve 2*a + 10 = -t + 14, a - 9 = -s*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*g + 9 = -108*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*d**3 + 17*d**3 + 3 - 1 to f*d + b + c*d**3 + u*d**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of g**5\/60 - 11*g**4\/24 + 13*g**3\/3 - 98*g**2. Let h be d(8). Solve -5*v = 0, t - h*t - 3 = 3*v for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 58. Suppose -2*c = -5*y + 3*c + b, 12 = 3*c. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 672 and 160.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - x. Suppose 5 = -5*k - 0, 3*k - 3 = 2*a. Let i(l) = -l + 1. Let t(s) = -12*s + 9. Let u(o) = -9*i(o) + t(o). Determine a*m(r) + u(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 381522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441 + 34 = 5*j. Is j*(-1 - (4 - 6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)\/(((-5)\/(-6))\/(-5)). Let t be (z\/14)\/(116\/56 - 2). What is the units digit of (t\/(-8))\/((-3)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m + 1. Let d(k) be the first derivative of 5*k**2 + 4*k - 11. Let g(j) = 3*d(j) - 24*u(j). Does 3 divide g(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2 + 316*f + 31*f + 24 + 494*f.\nAnswer: 841*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:52 AM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5454855, -5454862, -5454869?\nAnswer: -5454876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**(-13)\/l*l*l*l*l)\/l))\/(l*l**(2\/23))*l**(-4\/7)*l\/l**(1\/4))**(-1\/26) assuming l is positive.\nAnswer: l**(-6499\/16744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dhn when three letters picked without replacement from vdhhndhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -829, -829, -825, -817?\n\"Answer: 2*d**2 - 6*d - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 10*c**2 - 12*c - 16. What are the prime factors of z(11)?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(sqrt(1377) - (-3 + sqrt(1377) + 3) - (-3 + -4*sqrt(1377))))**2.\nAnswer: -44082 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*g**3\/3 - 447896*g**2\/9 - 59720*g\/9.\nAnswer: 2*g*(g - 14930)*(15*g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6659639)\/1315440 - (1 + -2). Let q = -2\/11745 - g. Let z = -5\/104 - -3067\/520. Calculate the common denominator of q and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 557 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/140 and -61\/31954?\nAnswer: 2236780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5 - 2*d - 3 + 72*d**2 - 2 + 0*d. Calculate the remainder when 348 is divided by a(1).\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 3 + 2)*3. Is 31*4\/(12\/v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -1\/2 (c) 0.4 (d) -2\/13 (e) 15 (f) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 5*g = 896. Let s = g - -158. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - 11*a - 6. Let r be i(4). Let o(y) = y**3 - 5*y**2 - 3*y - 6. Let k be o(-4). Let c be 3 + r - k\/2. What is c rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 19 - 1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + h - 9. Calculate the remainder when ((-150)\/9*-1)\/((-4)\/(-6)) is divided by h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5700*v**2 + v + 1. Let a be m(-1). Round a to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + 43. Let j = 61 - m. Put -0.3, j, -2, -3\/5 in ascending order.\nAnswer: j, -2, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 17. Let y be h(13). Suppose 6*i + 26 = -10. Put 0, y, 3, i in decreasing order.\nAnswer: 3, 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5479543\/1741872 - -2\/36289. Calculate the common denominator of y and 41\/180.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.59209t to micrograms.\nAnswer: 85592090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 381 + -118. Suppose 0*f = f - 4*w - q, 4*f + 2*w = 1106. Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1521.444 to the nearest 10.\nAnswer: -1520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rig when three letters picked without replacement from grtgtrdtirrgrr?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of 12 + 3*t**2 + 0 + t - 5 + 0*t. What is the first derivative of p(g) wrt g?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 2 + 4)*(-1233 - 4823 + 404)*(1 - 1 - 1)*(3*d - d + 0*d).\nAnswer: -11304*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 4*q**2 + q - 1. Let s be d(-3). Suppose -5 = -5*v, 2*v + 1 = s*y - 7. Suppose 3*t = -1 + 13. Solve 0 = r - y*r + t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ybyb when four letters picked without replacement from {y: 11, b: 7, d: 1}.\nAnswer: 385\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 6. Let b = 26 + -18. Let n be y(b). Let f(z) = -z**2 - 13*z - 15. What is the tens digit of f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.06 + -0.06. Let i = n - 2. Let t(p) = p**2 - 46*p - 82. Let b be t(-2). Sort b, -2, i in descending order.\nAnswer: b, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*4*3\/(-8). Solve o + c*w = -o - 10, -2*o - 10 = 5*w for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -509 less than -531038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1015.62563 to one decimal place.\nAnswer: -1015.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5.01 times -4\nAnswer: 20.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 791 or -1326?\nAnswer: 791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 98, 108, 120, 134?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 10*j**2 - 9*j + 2. Let u be c(1). Let k(p) be the second derivative of 175\/3*p**u + 0 + 245\/2*p**2 + 3*p + 125\/12*p**4. Determine t so that k(t) = 0.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 0 (b) 5 (c) 2\/7 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 47096595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -227 and 748953.4.\nAnswer: 748726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-118)\/230 + (-12)\/(-20). Let r = 0.5 + 0.3. Let z = r - 1.1. What is the closest to 0 in -4\/3, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672883 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8892.18ng?\nAnswer: 0.00000000889218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 64 - 138?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*c + 101*c + 498*c - 50*c to the form y + s*c and give s.\nAnswer: 677","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -72 - -10?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000733671 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3 in increasing order.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.4 (b) 0.5 (c) -15.9 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 46 + 158 = -8*l, v + 3*l + 42 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 16 = 2*f, 0*f = -f - 3*x + 20. Let c(y) = -2*y**2 - 29*y + 18*y + f*y. Let p(a) = -6*a + 19 - 12 - 7. Give c(p(j)).\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1899 by -1899.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 9:02 AM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -54490, -108286, -162082?\n\"Answer: -53796*t - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 932*m**6 - 363*m**6 - 46286*m**2 + 46645*m**2 wrt m?\nAnswer: 68280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30192\/43 + 702. Let x = b - 44\/301. Let y be (-96)\/140 + (-2)\/(-7). Sort 0.3, x, y in decreasing order.\nAnswer: 0.3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (504\/(-312))\/(730\/(-4745)).\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/25)\/z**(15\/8))\/(z*z\/(z\/(z**(-2\/33)*z)))**26)**16 assuming z is positive.\nAnswer: z**(-689294\/825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -22413*f**3 - 4*f**4 + 22419*f**3 + 5 - 3*f**2 + 6*f**2 as z*f**3 + d*f**2 + h + p*f**4 + m*f and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2280 and 360.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 - -11. Let z(i) = 10*i - 1. What is the remainder when z(c) is divided by (-51)\/2*12\/(-18)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*o**2 + 27*o - 42 - 19*o**2 - 26*o as u + r*o**2 + g*o and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*p - 207, 3*p + 2*i - 109 = -0*i. Let l = -21 - -35. Let r = p + l. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35180.9593 to the nearest 10.\nAnswer: -35180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1957 a factor of 1632436969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c**2 + 27*c + 9. Let s be f(7). Solve -10 = s*r - 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 308*i + 309. Let w be g(-1). Let y be -11 - 0\/1*-1. What is the tens digit of (y + w)\/(-4) - -69?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a = -8*a + y - 34, 8 = -9166*y + 9168*y for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*g + 38*g = 45 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -468\/1715 + 74\/343. Sort m, -2\/13, -2, 5, -49 in decreasing order.\nAnswer: 5, m, -2\/13, -2, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2792436369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5822, -5856, -5864, -5834, -5754, -5612, -5396?\nAnswer: -5094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 26 = -24. Suppose -3*o + 5*l = -o - 43, -2*l = -p. Let f = 1 - -8. What is the remainder when o is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 > 0.008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 9*u**2 - 8*u + 24. Suppose 0 = 5*f - 4*f + 10. What is the lowest common multiple of 4 and c(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 53*j**2 + 1281*j + 5162. Give x(-4).\nAnswer: 886","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 y when two letters picked without replacement from {t: 1, d: 7, k: 1, y: 2, g: 5, r: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(95\/18)*150\/45?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3452 = -3*r + 3*l + 3425, 4*l = 31*r + 225 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-135)\/(-30)*2\/(-6). Which is the nearest to -4\/9? (a) 4 (b) r (c) -4 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/18*((-6)\/(-4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*p + 92*p + 50 - 1526 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19501 - 507107\/26. Calculate the common denominator of h and -25\/169.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 4*w**2 + 139*w - 163017. What is j(-220)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, -4673, 4, 3\/2 in decreasing order.\nAnswer: 4, 3\/2, -164, -4673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112211 - -121220?\nAnswer: 12011201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4024552 is divided by 3159?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-12 - -10) - -5) + (-5 + -29 - -21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of l**5\/12 + 55*l**4\/24 + 25*l**3\/3 + 11*l**2 + l - 32. Let i(n) be the second derivative of p(n). Let i(d) = 0. What is d?\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/66 + 1 - ((-128)\/(-864))\/(52\/(-117)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 28. Let g(n) = -13*n**2 - 2*n. Let b(m) = -27*m**2 - 4*m. Let j(y) = i*g(y) - 6*b(y). Let w(f) = -6*f**2 - 2*f. Calculate 3*j(z) - 4*w(z).\nAnswer: 3*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25782 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = 5*o - 68. Solve o = 6*u - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 134.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, s: 5, c: 1, p: 8}. What is prob of picking 1 v and 1 s?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 13*c**2 + 12*c + 3. Let h be x(-12). Solve h*k + 34 = 5*i, 3*i + 5*k - 5 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.048 and 0.13.\nAnswer: 0.00624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*o**2 - 12*o**2 + 7*o**4)*(-4 - 1 + 3) + (0 + 0 - 2*o)*(-2*o**3 - 4*o**3 + 5*o**3) - 24*o**4 - 69*o**2 + 69*o**2.\nAnswer: -36*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence akm when three letters picked without replacement from kzmvqaaz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 + 138*m + 3920 = 0.\nAnswer: -98, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/6 (b) 10\/9 (c) -2 (d) 2\/11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppwwww. Give prob of sequence pp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2229 + 6537 = 0. Suppose 10*f - 914 = x. Let b(k) = -3*k**2 - f*k**3 - k + 4*k**2 + 237*k**3. Calculate b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/56)\/((-81)\/(-108))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1836)\/sqrt(3) + -2 + sqrt(68)*6 + -3 + 1.\nAnswer: -4 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145408 by 3945.\nAnswer: -145408\/3945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 t when four letters picked without replacement from {v: 4, a: 3, t: 2, s: 2, h: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 44, -5 in ascending order.\nAnswer: -5, -4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 - 7*y**2 + 3*y - 22. Let t be z(7). Let w be (247\/38)\/(t\/(-2)). Suppose -w*h + 1484 = 197. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 92\/(-69)*42\/(-4). Let a = 18 + o. Let k = a - 27. Calculate the smallest common multiple of k and 32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-1\/32)\/v))\/v)**(-13) assuming v is positive.\nAnswer: v**(-13\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**4. Suppose -32*w + 30*w = -8. Let r(a) = -a**4 + 50*a**3 - 145*a**2 + 160*a - 60. Let h(l) = w*i(l) + r(l). Factor h(z).\nAnswer: -5*(z - 6)*(z - 2)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951161.\nAnswer: 2951161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6*u**2 - 4*u - 30. Let w be o(-7). Let m be w*70\/4 - -2. Let k = m - -41361\/8. Calculate the common denominator of k and 41\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 5)*(-4*x + 4*x + 4*x)*(0*x + x + 0*x)*(7 + 2 + 5).\nAnswer: -280*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 108\/6*(-1053)\/173745?\nAnswer: -6\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(100) - sqrt(25) - sqrt(625)*4)\/(((sqrt(100) + sqrt(100)*2)\/sqrt(2) + sqrt(50))\/((1*sqrt(50) + sqrt(50))\/sqrt(5) - sqrt(10))).\nAnswer: -19*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 18798, 4, -3 in increasing order.\nAnswer: -5, -3, 4, 5, 18798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 96\/54 - (-6)\/27. Suppose 4*s + s + 2*m = 18, -4*s + q*m = 0. Let n = 0.04 + -0.34. Which is the closest to 2\/7? (a) s (b) 2\/3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31347, -125384, -282115, -501540, -783659, -1128472, -1535979?\nAnswer: -2006180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c - 45. Let d be f(18). What is the units digit of d - (5 + -2) - 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16 - ((-10)\/(-4) + (-7)\/14). Solve t + 2 = 0, 4*t - 3 = -5*f + z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8194)\/(-187) - (-6)\/33. Suppose -2*u = -4*u - 4*p + r, 4*u = -4*p + 100. Which is bigger: u or 27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 232\nAnswer: 696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 138765 at least as big as 138760?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let u be (19 - 1)\/f - 2. Let p be (-3 - 1)*(-2)\/u. Solve -p*m + 3*m = 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 1. Let j be p(-1). Solve u + u = j for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 6*b**2 + 2*b - 33. Let i be u(7). What is the greatest common divisor of 40 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 8*o + 12. Let b = 8 - -1. Let n be z(b). Suppose 8 = 5*s + n. Is 4 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 203 divide 33596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*q**3 - 183*q**3 + 31 - 31 + 6*q**2.\nAnswer: 2*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16094877977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -44, -51.\nAnswer: -51, -44, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Suppose -5*v + 31 = 4*d + 7, y*d + 2 = v. Suppose -v*p = -4*a + 16, -4*a + 0*p = -2*p - 12. What is the remainder when 5 is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*h + 7941 - 10059 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16167 + 16314.01. Let x = 147 - w. What is the smallest value in x, 1\/3, 2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -439422403 + -63.76?\nAnswer: -439422466.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 + 27. Differentiate h*b**3 + b**3 - 4 - 1 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkktkktk. What is prob of sequence kk?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.7 (b) -2 (c) -0.4 (d) 4034 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wkthf. Give prob of sequence thf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 100703.56 to the nearest one hundred.\nAnswer: 100700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10081\/13452 - 2\/3363. Put 3, 0.673, w in descending order.\nAnswer: 3, 0.673, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/1974 and -11\/846?\nAnswer: 5922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0692 + -0.2692. What is the nearest to k in -2\/7, 4\/3, -2, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36 or -7552?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1, 3, -0.5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 778052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 3\/5, 0, 0.2, -62, -22?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of k**2\/2 + 41*k - 33. Let f be p(-37). Solve 0 = y + f*z - 18, 5*z - 27 = -2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1793 - -168. Let n = 4418 + t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 7 - 0. What is t in -15*t**4 + 2*t**3 + 13*t**4 - 5*t**2 - 2*t**5 + m*t**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 194 - 162. Let g(j) = -j**3 + 40*j**2 + 83*j + 45. Is g(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -112*y - 3. Let f be g(-2). Suppose 12*n - f = -n. What is the greatest common factor of n and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37464*s*v**2 - 478*s - 5*v wrt v.\nAnswer: 74928*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (510\/(-36))\/(-17)*18\/20?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 9:20 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3439593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5*w = 18, -n = -5*w - 13 - 8. Suppose 0*q + 3 = q. What is the nearest to -0.1 in n, q, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57653262 divided by 6\nAnswer: 9608877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 5363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y**2 + 24*y + 135. What are the prime factors of o(-13)?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*k**3 - 12 + 12 + 32*k - 32*k.\nAnswer: -43*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(64)\/sqrt(8) + sqrt(8))*-3)\/(sqrt(4) + 6*sqrt(36) + sqrt(28)\/sqrt(63)).\nAnswer: -9*sqrt(2)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1679*b + 18440 = -11782 for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 7, -0.07042189 in descending order.\nAnswer: 7, 3\/4, -0.07042189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 s, and 2 x when four letters picked without replacement from {z: 5, j: 2, s: 6, t: 1, x: 2, u: 3}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -7. Let g be ((-3)\/r)\/((-1)\/(-46)). Suppose 0 = -2*p + 2*j + 3*j - g, 5*j = 3*p + 22. Which is greater: p or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 270.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -3. Let p be i - (-2 + -1 + 2). Solve -2*a - 3 - 11 = -p*t, 5*t - 5 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - -23. Let a = -59 + w. Do a and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + 15*t**2 + 54*t + 18. Suppose -15 = -k + 34. Calculate the remainder when k is divided by j(18).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -728*r - 199650 = 820*r - 910*r + 2387*r for r.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4))\/(1\/(-30)). Let m(o) = -12*o - 17. Let a be m(-5). Let d be (a*q)\/(15\/(-200)). What is d rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-40)\/(-30)*6\/4. Suppose 4*n = l*n. Suppose n = -3*y + 2*p + 130, y = 4*p - 3*p + 43. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16880768*m**6 - 42389644*m**2 wrt m.\nAnswer: -2025692160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 224\/13 (b) -3\/8 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 13*k**2 + 20*k + 2. Let m be x(11). Let p be m\/210 + 6\/63. Solve p = 4*s - 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19 + 17 + 3*i**3 - 4*i**3. What is s(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2 + 4*g**2 + 0*g**2. Let u(m) = -m**2. Give u(r(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 7*u. Suppose -22*f + 48 = -16*f. Calculate w(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11308045 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-28)\/(560\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 84*a**2*s*z - a**2*z**2 + a*z + 3*a + 35*s*z**2 - s + z**2 - 3 wrt a?\nAnswer: 168*a*s*z - 2*a*z**2 + z + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30141?\nAnswer: 3, 17, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -163850487*h + 75054932?\nAnswer: -163850487","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 42 - (-39 - -31 - 1)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.1 + -3. Let h = -66 - -62. Let l = 0.2 - 0.3. Which is the nearest to l? (a) -1 (b) t (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437118*h + 71020*h - 113068*h.\nAnswer: -479166*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 137682783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g\/g**(-1)*g)*g)**(1\/21)*g**(-3)\/g*g\/(g\/(g\/g**(-1))) assuming g is positive.\nAnswer: g**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 4*o**5\/15 - o**4\/24 - o**2 - 19. Let t(p) be the second derivative of d(p). What is the second derivative of t(a) wrt a?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -1\/5, -0.026, 18, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 615 - -4726. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 65 (base 7) to base 15\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*t**3 - 39*t**3 + 10*t**3 + 11*t**2 + 16*t**3 wrt t?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.3072 + -29\nAnswer: -26.6928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 443 in descending order.\nAnswer: 443, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-17 - -11 - -17 - (-1 + 3 - 12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -15309, -122428, -413173, -979356, -1912789, -3305284?\n\"Answer: -15302*a**3 - a**2 - 2*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-32*v + 27*v**3 + 32*v)*(-v - 1 + 1) as t*v**4 + s*v + o*v**3 + h*v**2 + z and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 36251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*v + 94. Let m = 51 + v. Find the common denominator of (53\/m)\/(18\/21) and 29\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 5:36 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -7. Suppose 2*k + 2*g + 0*g = j, -3*g - 9 = 0. Suppose -90 = a - k*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3119.99 - -3106. Let l = 0.072 + 0.338. Let h = u - l. Round h to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q + 14. Suppose 0*r = r + 19. Let h = 9 + r. Is g(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 4:16 PM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let i(n) be the first derivative of n**6\/180 - n**5\/20 - 3*n**3 + 1. Let d(m) be the third derivative of i(m). Determine d(f(h)).\nAnswer: 2*h**4 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63.5 + 471.5. Let i = w - 408.000000391. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -510 + -1512303368576\nAnswer: -1512303369086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-9)*y*y**(3\/11))**(41\/5)*((y*y**(-6)*y*y*y*y)\/y**(-4\/5))\/(y**7\/y*y**(-2\/21)) assuming y is positive.\nAnswer: y**(-80236\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1262.1 + 1262. Which is the closest to v? (a) -2 (b) 48.1 (c) 0.2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 20 = -n, -5 = 5*q - 6*q + 3*n. Suppose -q*o + 4 + 1 = 0. List the prime factors of (24 - 3) + 2 - o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (15\/(-2))\/((-660)\/264) and 1155.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 331*g - 337*g. Suppose 0 = 8*b - 39*b + 248. Solve 4*j - g*x = -b, j - 2*x + 6 = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let j(w) = 18*w + 2021. Calculate q(j(d)).\nAnswer: 648*d**2 + 145512*d + 8168882","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1236, -1504, -2168, -3426, -5476?\nAnswer: -8516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 20*d**2 - 11*d + 3. Determine w(9).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 0 - 1\/20*y**5 - 7*y**2 + 0*y + 0*y**4 + 7\/6*y**3. What is the first derivative of b(x) wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 10\/9, 0, -5 in ascending order.\nAnswer: -5, -2, 0, 1, 10\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001720681 to 7 dps.\nAnswer: 0.0001721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 165880728 a multiple of 178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.539999366 - -6.54. Round w to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.018? (a) 5 (b) 2\/9 (c) -5 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 7*y**4\/24 - y**3\/6 - 18*y**2. What is w(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15167*x + 15043 wrt x?\nAnswer: 15167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 21993\/4 = 5499?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-98)\/21)\/(-7))\/(6\/(-63))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by 56060\nAnswer: 23\/28030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*k**2 - 32\/9*k + 56\/9.\nAnswer: 2*(k - 14)*(k - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of l**5\/480 - 1193*l**4\/192 - 199*l**3\/8 - 284*l**2 - 2*l. Suppose u(n) = 0. Calculate n.\nAnswer: -1, 1194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 8*g - 9. Let q be m(-7). Let o be 3 + q + (4 - 1). Let k(b) = -110*b**3 + 4*b**2 - 5*b - 4. Let p be k(o). Round p to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6406353.1 to the nearest 100000.\nAnswer: 6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = h, 5 = 5*h - u - 13. Suppose -5*r = -h*s - 16, 4*r + 2*s - 35 = -9. Let v = 0.2 - 0.7. What is the nearest to v in r, 2\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23042090777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 706*u + 216742. Give x(-307).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8641 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 10*b - 37. Let f be h(4). Let l be (-1)\/(0 - (3 + -4)) + f. Suppose -a = -4*o + 11, l*o = -3*o + 10. Sort 4, a, -4 in ascending order.\nAnswer: -4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v - 2. Let j(a) = -a - 2. Give -5*j(z) + 6*m(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11\/9 + 8\/9. Let k = 2.39 - -0.61. What is the second biggest value in k, m, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29130.\nAnswer: 2, 3, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32287 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17\/2 + 53\/4*h + 1\/4*h**3 - 5*h**2.\nAnswer: (h - 17)*(h - 2)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 31*p**4\/24 - 22*p**3 + p**2 + 5*p. Let c be l(4). Let i = -5 + 2. Sort c, i, -4 in descending order.\nAnswer: i, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-7))\/((-3)\/(-35))*(-4512)\/(-940)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 77 (c) 3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -34, -136, -330, -646, -1114, -1764, -2626?\n\"Answer: -5*p**3 - p**2 - 2*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -8*y + 7. Let a(r) = -19*r + 77. What is the units digit of a(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -200222021022?\nAnswer: 200222021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1137.9 + 1137.88. Which is the fifth smallest value? (a) o (b) 5 (c) -0.1 (d) 0.08 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0325 + 2.9675. Let w = -141\/4 + 36. What is the closest to -0.2 in -2, 7, w, j?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -21582.\nAnswer: -1\/7194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/404 and -99\/40.\nAnswer: 4040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3262, -12961, -29132, -51781, -80914, -116537?\n\"Answer: -w**3 - 3230*w**2 - 2*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 5*x - 5. Let i be r(-5). Let c(b) = -3*b - b - b**2 - 1 + 5. Let h be c(i). Is h not equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1050807273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3760 and 33703888?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - -1221302001?\nAnswer: 1221301330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**8\/1680 - y**7\/1050 + y**6\/100 + y**5\/75 - y**4\/15 - 30*y**2. Determine p so that w(p) = 0.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 0*m = -30. Let h = -18 - m. What is the highest common divisor of 36 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 - 1*-2. Suppose -i - a + 7 = 0, -j*i + 21 + 35 = -3*a. Calculate the remainder when 31 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -88, -108, -126, -142, -156, -168, -178?\n\"Answer: l**2 - 23*l - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-6) - 4\/12. Suppose 0*v = v + 9. Let n be 3*2\/v*-6. Solve 3*a = 2*f + 4, n*f - 2*a = -d*a + 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, q: 8, f: 2, e: 4}. What is prob of sequence ffe?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 3216*c**2 + 3286080*c + 1033852928.\nAnswer: (c + 608)*(c + 1304)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1169*x + 1356?\nAnswer: 1169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -39. Solve -j*u - 9 = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/(-9))\/(6\/108). Is 4\/k*(667 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2935*u - 113949. Calculate g(-37).\nAnswer: -5354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srlnorrrrrsjrsssrssr. What is prob of picking 2 s?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:25 AM?\nAnswer: 10:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9270)\/(-315)*(-5 - (-221)\/26).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2782 or -2780?\nAnswer: -2782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 + 16*v - 7.\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1069652 + -294415. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*w + 13456 = 115478. List the prime factors of w.\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/15 - 11\/15. Suppose 0 = -0*m - 3*m. Suppose 3*g - 2*g + 5 = m. Which is the closest to 1? (a) g (b) w (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 370 + 871 + 595.\nAnswer: y**2 + 1096","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n = 89*n + 492. Let k = n + 133. Solve -2*o - z + 4 = z, -o - k = -3*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 6094.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -1\/3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 + 62 + 26*w as o + g*w and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 42, 32?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from mzgcazecccmmmcmmgc.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, m: 1, x: 1, o: 3, k: 5, a: 1}. Give prob of picking 1 m, 1 x, and 1 k.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 621.1 + -693. Let g = v + 71.9. Which is the nearest to -6\/7? (a) 3 (b) 0.01 (c) 0.1 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 49, -0.1, 11, -0.535 in ascending order.\nAnswer: -5, -0.535, -0.1, 11, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 7*q**2 - 6*q + 7. Let n(i) = i**2 - i + 1. Calculate g(k) - 5*n(k).\nAnswer: 2*k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 682 - 2*h**2 + h**4 - 872*h + 874*h in the form t + u*h**2 + f*h**3 + v*h**4 + g*h and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from {c: 4, j: 4, w: 3, a: 2, p: 6, d: 1}?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842892?\nAnswer: 2, 29, 15887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97 - 72. Suppose h = 3*d - 143. Let u be d\/30 + 0 + 2\/15. Solve -x - 4*a + 3*a = 4, 0 = -u*x + 4*a + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 323875402 to the nearest one hundred thousand.\nAnswer: 323900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658856.1ng to micrograms.\nAnswer: 658.8561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12172?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -129, 13.2, 0.2 in descending order.\nAnswer: 13.2, 2, 0.2, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/132 + 9834156\/(-374). Let k = s + 29341421\/1105. Let i = k - 259. Which is smaller: -1 or i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 5*y**2 + 4*y - 8. Let c be q(5). What is the highest common divisor of c and 186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131458.\nAnswer: 2, 65729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 7*p - 2. Let s be (-10)\/(-8)*(3 + 1). Suppose 3*i - o - 14 = -0*i, -s*i + o + 26 = 0. Calculate the least common multiple of a(i) and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44720 + 31*u**2 - 44818 - 46*u**2 to k*u + d + m*u**2 and give d.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -3. Suppose -c = -2*c + 4. Suppose -c*q = -10 + 2. What is the closest to h in q, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18115 to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 12. Suppose 139 + 9 = -b*x - 2*m, 0 = -3*x - m - 222. Does 7 divide x*((-1)\/2 - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 168816, 168809, 168802, 168795, 168788?\n\"Answer: -7*g + 168823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 6. Let q be g(4). Suppose -h + 0*h = -q. Let v = h + -1. Calculate the least common multiple of 7 and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10992520 by 9130.\nAnswer: 1204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 299139121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.11 + 0.11. Let i = -8 - b. Let u = i - -1.9999993. Round u to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17777 and 0.0688.\nAnswer: -1223.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52469*g**3 + 206*g**2 + 1.\nAnswer: 314814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/11))**(-7\/10))**(-2\/25) assuming l is positive.\nAnswer: l**(84\/1375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7651883 nanograms to grams.\nAnswer: 0.0000000007651883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (7 - (9 - -2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 815 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (865*r + 2132*r + 275*r - 5119*r)*(-3 + 1 + 1).\nAnswer: 1847*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5.7 (b) 0.1 (c) 2.9 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(120)\/sqrt(5))\/sqrt(12)*-3.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 + 11. Let a be t(4). Sort 9, -4, a, 1 in increasing order.\nAnswer: a, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 587 - 195. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 130949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-54)\/648 - 17066\/(-24)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2030 (base 6) to base 9\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-112)\/(-84)*(-1 + 11\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*c + 14*c - 17*c - 28*c - 10*c.\nAnswer: -69*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 1\/4, 2\/15, 1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s - 59*s**2 - 58*s**2 + s**3 + 125*s**2 - s. Calculate j(-9).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.05714696 - -4015175.05714696. Let t = q - 4015287.00161. Let a = t + 112. What is a rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 10)\/(-3 - 3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**3 - 12*b**2 - 9*b - 4. Give y(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, k: 6, r: 1, x: 3, p: 4}. Give prob of sequence xp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14324*m*v**2 + 2*v**2 + 44*v + 10 wrt m?\nAnswer: 14324*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**2*n**2*v + 155*k**2 + 4*k*n**2*v - 13*k*n**2 - 2*k*n*v - 2*n**2 wrt k?\nAnswer: -4*n**2*v + 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**4 - 47224*p**3 - 3748972*p**2 - 79469552*p - 205943280 = 0.\nAnswer: -38, -3, 11885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (-5 + 0 + sqrt(171) + sqrt(171) - ((sqrt(171)*4 + sqrt(171))*5 + sqrt(171))))**2.\nAnswer: 1440*sqrt(19) + 197042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p**2*y**4 + 5*p**2*y - 8*p*y**5 - 2*y wrt y.\nAnswer: 84*p**2*y**2 - 160*p*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318163, 1272667, 2863507, 5090683, 7954195?\nAnswer: 11454043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**5\/60 - 7*a**4\/8 + a**3 - a**2 - 1010*a. Determine i(-16).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -524, 3, 1, -592, 5 in increasing order.\nAnswer: -592, -524, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x**2 + 2*x**2 - 4*x**2)*(69*x - 17*x - 13*x - 4*x**2) to the form g + f*x + p*x**2 + o*x**3 + m*x**4 and give o.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -12*x**4 - 5997*x**3 - 51408*x**2 + 72147*x - 14730 = 0.\nAnswer: -491, -10, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 2*v + 3. Let x be z(0). Let r be 18 - 20 - (-1 - -3). Suppose 0 = 13*c - 15*c + 10. Sort 0, c, r, x in decreasing order.\nAnswer: c, x, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -97.2 and 347?\nAnswer: 444.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - 33397956.\nAnswer: -33397930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 25\/61 (b) -40 (c) -2\/5 (d) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 20, 2 in ascending order.\nAnswer: 0, 1, 2, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 10 = -2*x. Let a(z) = 2*z. Let m be a(x). Let g be (-2)\/4 + (-15)\/m. Let v(q) = -2*q**2 - 3*q + 2. What is v(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6618124 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -2\/3, -59, 5, -4, -5, 1\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12\/(-8))\/((-3)\/(-18)). Let h(d) = -d**3 - 9*d**2 + d + 7. Let l be h(j). Let m be (10\/8)\/(l\/(-8)). Solve 6*r - k - 3 = 2*r, -m*k + 27 = r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -132?\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -142404 and 10?\nAnswer: 142414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*a - 445 = 272 - 141 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o + 2*y = 2*o, 3*y = 4*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 1 + 1)*(9 + 8 + 19)*(-1 + 1 - 3*v**2).\nAnswer: 216*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 48*u + 47. Let w(m) = 4*m**2 - 154*m + 142. Let f(i) = 10*j(i) - 3*w(i). Factor f(n).\nAnswer: -2*(n - 2)*(n + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 6*v**2 + 4*v. Determine c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35507783 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: Is 66239 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2506284 and 1188?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -1.3. Let b = m - 3.5. Sort b, -0.1, 2 in decreasing order.\nAnswer: 2, -0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 539.4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/3 (b) -1\/4 (c) -238 (d) -3 (e) -71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1082193 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - p**3 - p + 0*p.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102.01 - -102.4547. Let z = -32.4147 + m. Let g = z + 32. Which is the third biggest value? (a) 0.5 (b) -2\/19 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -211, 3, 1, -3, 443, 0.5 in ascending order.\nAnswer: -211, -3, 0.5, 1, 3, 443","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*o - 22 = 0, -3*c + 8 + 9 = 4*o. Let p be (-11 - (-24 + -7)) + -19. Sort 8, c, 5, p.\nAnswer: c, p, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -15. Let a be -18*4\/(-8) + -1. Suppose 0 = -y - 5*o - 22, -6*y - 4*o = -2*y + a. Solve -y*h = -2*h + c for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7*14\/735)\/((-1)\/(-5))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 5376?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 986286 greater than 986283?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -131 - 1002?\nAnswer: -1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043409 to the power of 1\/3, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**7\/504 + y**4\/3 + 4*y**2. Let a(s) be the second derivative of i(s). Let h(p) = -2*p**2. What is h(a(u))?\nAnswer: -50*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24645119.\nAnswer: 103, 239273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135484945.\nAnswer: 5, 59, 459271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -14*t - 4. Let c be w(3). Let p be 16721\/c + 2\/4. What is the common denominator of (p\/12 + 3)\/(-15) and 53\/14?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 0*u + 4*h = 3, u = -4*h + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10376\/7 + -1483. Let w = 21 + -20. Sort n, w, 0 in increasing order.\nAnswer: n, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.3 rounded to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q. Let s(d) = 1698 - 845 - 845 - d. Determine a(s(n)).\nAnswer: -15*n + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(120)\/(sqrt(24)*-4))\/((sqrt(484) - 1*sqrt(484)) + sqrt(484)*2))**2.\nAnswer: 30981\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 53.9. Suppose -r - r + 5 = 5*l, 0 = 3*l - 3*r - 24. Let f be -1 + -3*(-5)\/l. What is the nearest to y in 1, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(10)\/(sqrt(24)\/(sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.1 + -2. Let y = 115 + -111. What is the closest to -1 in n, y, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 535452 and 2904.\nAnswer: 129579384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/6 - 355897*d**4\/6 - 15826872068*d**3\/3 + 1060950172366*d**2\/3 - 22172779710032*d\/3 + 136593778101088\/3 = 0. What is d?\nAnswer: -177982, 11, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 2*j = -155. Suppose 0 = -32*b + j*b + 60. Calculate the highest common divisor of 12 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.4207375 to three decimal places.\nAnswer: 101.421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaad when four letters picked without replacement from advaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, c: 6, e: 2, q: 1, p: 2}. What is prob of sequence qp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -280 - -2522\/9. Suppose 0*c - 2\/9*c**4 + 0*c**2 - d*c**3 + 0 = 0. Calculate c.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104156110?\nAnswer: 2, 5, 17, 29, 37, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from {y: 5, m: 3, i: 4, z: 1}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = 6*j + 800. Is 1\/(-4) - 123112\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -2\/13, -2.31, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715635382?\nAnswer: 2, 113, 137, 55411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -273 + 287. What is the highest common factor of 791 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -32, -43, -38, -11?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 11) + (4 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -171 - -159.9. Let j = f + 11.10455. Round j to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 19*c + 116. What is the units digit of d(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of -3*h**5\/20 - h**4\/4 + h**3\/2 - 3*h**2\/2 + 4*h. What are the prime factors of i(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 + 4*u + 22)*(-4 + u**4 + 4) + 63*u**2 - 63*u**2 - 111*u**5.\nAnswer: -107*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*s - 18. Suppose 84 = -h + s*h. Let c = h + -202. Round c to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -318*k**4 + 6*k**2 + 8*k - 991. Let u(f) = 317*f**4 - 7*f**2 - 9*f + 991. Let w(n) = 7*h(n) + 6*u(n). Find the first derivative of w(s) wrt s.\nAnswer: -1296*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:20 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24665 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 736 + -736.0943. What is f rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-104))\/(3\/4*(-5)\/(-3))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*y**2 + 229*y - 229*y - 159*y**2.\nAnswer: -150*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -0*x + 12. Suppose r + x*w - 140 = -3*r, -3*r - 2*w + 104 = 0. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 21*f**2 - 6*f**2 + 33*f - 3 + 28*f**2 to d + p*f**2 + u*f and give u.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31627 - -45919. What is the highest common factor of h and 72?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6590196 is divided by 830?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 73.757?\nAnswer: -7.3757","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b - 5*b + 6*b + 4*b**2.\nAnswer: 4*b**2 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of 0*d**2 + d + 0 + 1\/42*d**7 + 0*d**6 + 0*d**5 - 1\/2*d**3 + 0*d**4. Find the second derivative of m(i) wrt i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c - 6. Let n(r) = -r + 15. Let m(w) = -w + 8. Let u(p) = 5*m(p) - 3*n(p). What is -6*h(z) + 7*u(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-2 - 3 - -2). Let s(w) be the first derivative of -1 + b*w + 0*w**4 + w**6 + 0*w**2 - 4\/3*w**3 + 0*w**5. Find the third derivative of s(u) wrt u.\nAnswer: 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8536?\nAnswer: 2, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 756\/1323*21\/5\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*t + 157, -4*t = -3*m - 0*m + 466. Let h = m - 83. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617.63181 rounded to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*t + 0*t**2 + 0*t**2 + 2*t**2 + t to the form m*t**2 + a*t + x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 156268*a*d**4 - 56*a*d - 245*a + 60871 wrt d.\nAnswer: 625072*a*d**3 - 56*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/202 and (-1)\/(-14)*113 - (2 - 2).\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u. Let b(x) = -113164*x. Give h(b(y)).\nAnswer: -565820*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 34556?\nAnswer: -3\/34556","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-187 + 187 - 15*t**2)*(-t**2 + 3*t**2 + t**2).\nAnswer: 90*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -77663 > -77667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1409?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2719, -2731, -2757, -2803, -2875, -2979, -3121?\nAnswer: -3307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117470830 by -2999.\nAnswer: 39170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 6463155?\nAnswer: 6463156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*2*-3)\/(-1*(sqrt(8) - (sqrt(8) - (sqrt(88) + sqrt(88)*-2)\/sqrt(11)))).\nAnswer: -54*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 1 (b) -5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*d - 18, k = -k + 4. Let a(w) = 4 - 8*w - 9*w**2 - 4*w**3 + 2*w**3 + w**3. Is 4 a factor of a(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/549504 and -67\/6656.\nAnswer: 28574208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 420*y + 7414. What is w(-17)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1694314, 3388892, 5083472, 6778054, 8472638?\n\"Answer: p**2 + 1694575*p - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 + 0 = 0. Let y = 25 - 24.6. Suppose -28 = 5*c - c + 4*z, 5*c + 33 = -4*z. What is the nearest to a in -1, c, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -61\/9, -4, 0.1, 3, -0.101 in ascending order.\nAnswer: -61\/9, -4, -0.101, 0.1, 3, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -117361 or -117389?\nAnswer: -117361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 136.48 - 136.78. What is the third smallest value in u, -0.016, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 641 + -629 + -3 + (0 - 0) + -65\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208162720?\nAnswer: 2, 5, 1301017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 0)*(448*m + 12*m + 608*m)*(-6 - 2 + 2).\nAnswer: -6408*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 3*o**4 + 27972*o**3 + 195681*o**2 + 223560*o - 447216 = 0.\nAnswer: -9317, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1595)\/58 + 17)\/(3\/(-164)). What is the greatest common divisor of 1435 and k?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.21 and -0.6?\nAnswer: 2.526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of b**5\/60 + b**4\/4 + b**3\/3 + 17*b**2 + b. Let t(l) = -3*l**2 - 13*l - 5. What is 5*c(o) + 2*t(o)?\nAnswer: -o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(195)\/sqrt(5))\/sqrt(3).\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 18. Which is the second biggest value? (a) 2 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -6*(sqrt(1216) + sqrt(1216)*1).\nAnswer: -96*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 28*k + 151. Determine z(32).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(176) - (-4 + sqrt(176))*-5)*6 - (5 + 2 + sqrt(176) + 1 + sqrt(176))).\nAnswer: -133 + 136*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 573.5 + 33799.94.\nAnswer: 34373.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 88. Suppose -5*q = 5*b + c, 0 = 5*q - b + 5*b. Calculate the remainder when 15 is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a + 8. Suppose 0*n - 88 = -a*n. List the prime factors of n.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/4 or -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 81 + -58. Does 23 divide f*3*(16 + -11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f - 2. Let v be o(5). Put v, -0.1, 2\/7 in increasing order.\nAnswer: v, -0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*j - 16708 = -62*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 + 2*r + 2. Let m = 10 + -7. Let x(w) = 1. Calculate m*x(a) - d(a).\nAnswer: a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**5\/60 + b**3\/6 - 3*b**2. Let d(x) = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 + 43*x - 54. Let j(i) = -8*i**2 + 123*i - 162. What is -6*j(f) + 17*y(f)?\nAnswer: -3*f**2 - 7*f + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 43 + -12600862?\nAnswer: -12600818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(385)\/(sqrt(28)\/sqrt(4)) + (-1*sqrt(275))\/sqrt(5))\/(sqrt(55)\/(sqrt(5)*2)*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.1 (b) -2 (c) 187\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v + 5*v + 11*v + (2 + 3*v - 2)*(-2 + 4 - 4).\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/3 - 1628*n\/3 - 5460 = 0. Calculate n.\nAnswer: -10, 1638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6085601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**2 + 84*o - 878. Let y be 32\/(-40) + (4 - 44\/20). Let v(h) = -h**2 + 1. Let a(t) = y*p(t) - 4*v(t). Find x such that a(x) = 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/127232 and 69\/70.\nAnswer: 636160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/2 - 133\/(-14). Suppose -2*b + i - 6 = 0. What is the remainder when 19 is divided by b\/(-3) - (-156)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -519, -4169, -14081, -33387, -65219?\n\"Answer: -522*y**3 + y**2 + y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*i + 2. Find the second derivative of 0*f**5 - 17*f**5 - 20*f**i + 8*f**5 + 32*f wrt f.\nAnswer: -580*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-1305)*440\/22*(-12)\/48.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 4. Let a = p + 0.3. Suppose -18*o - 21 = -11*o. What is the closest to a in 2, o, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 37\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2714 - 2684. What is the remainder when t is divided by 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1789660 is divided by 21825.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000106945 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -42*p + 570 for p.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/80874 and 109\/72.\nAnswer: 323496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 412887 and 219.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 14*g = 6146. Let u = g + 4827\/11. Is u at most -149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1331)*-1)**2.\nAnswer: 6655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4)*d*d)\/d)**(-3\/38) assuming d is positive.\nAnswer: d**(9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.6 (b) 2 (c) 0 (d) 1\/260 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71893 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:06 PM and 3:31 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6636306 divided by -94\nAnswer: -70599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - g + 5*g = -17, -3*g = -3*u - 3. What is the common denominator of -17\/60 and u + (0 - (4 + 270\/(-25)))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199808209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-173)\/3 - 2\/(-3). Let k = v + 81. Calculate the highest common factor of k and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uyyfyooyyfcccuy. Give prob of picking 2 c and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-40)\/25?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, v: 4, r: 5}. Give prob of picking 1 v and 1 r.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 184.8 - 185. What is the fourth smallest value in -5\/4, 1\/2, 3\/2, x?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46721144.\nAnswer: 2, 449, 13007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -34*y**2 + 808*y + 194. Give t(24).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84120873 and 807?\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -97*h - 3. Is t(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -96 + 960. Suppose 0 = -3*u + 5*u - f. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 935*w - 1867*w + 928*w + 40 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 + y + 1. Let j(d) = 5*d**2 + d**3 - 303 - 14*d**2 + 302 + 6*d. Let a(r) = -4*b(r) + j(r). Give a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o + o - 2*o)*(-2*o + 3*o - 3*o) + 37 - 3*o**2 - 37 + (1 + 1 - 3)*(-4*o**2 + 4*o**2 - o**2) + o**2 + 2*o - 2*o)*(3 + o**3 - 3).\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s - 17. Calculate m(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -2. Let c = 15 + w. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let l = 1.5 - w. Let k = 0.3 + l. What is the third smallest value in k, -2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3169 is divided by 110?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.47? (a) 0.4 (b) 4 (c) -1\/2 (d) 0 (e) 1\/65\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 73136716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -8022207 divided by 16?\nAnswer: -8022207\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 11 = 2*x, -5*n - 10 = 5. What is the third derivative of -6*q**6 + q**6 + 5*q**x + q**4 - q**4 wrt q?\nAnswer: -600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 1 - 39*v**3 - 8*v**3 + 2.\nAnswer: -42*v**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.999995 + 13. Round y to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 151\/37304 or 1?\nAnswer: 151\/37304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41529\/2 - -20274. Let s = -476 - y. What is the common denominator of (-278)\/12 - (0 + 1) and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:45 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6857 - -8746. What are the prime factors of w?\nAnswer: 3, 7, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*y - 52, -4*y - 3*b - 2*b + 58 = 0. Let c = y + 0. Let o = 70 - 12. Calculate the remainder when o is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2111*a**4 + 1174*a**4 - 3103*a**4)*(-5 - 1 + 0).\nAnswer: 24240*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 13*t**2 + 12*t + 9. Let h be d(-12). Let y be h\/((-9)\/(-2)) + (-9)\/4. Sort y, 5, 0.06 in increasing order.\nAnswer: y, 0.06, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (126\/72)\/((-142)\/(-1704)). Let d = 5309\/5 + -1041. Is d != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0668002357 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 779737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/15)\/(w\/(w**(1\/3)\/w*w*w*w)))\/(w\/(w*w\/w**0))**(-46))**30 assuming w is positive.\nAnswer: w**(-1344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**4 + 1 - 1 + (-3*q**3 + 2*q**3 + 4*q**3)*(-2*q - 1 + 1) - 2*q**4 - 2*q**3 + 2*q**3 + 2 - q**4 - 2.\nAnswer: -7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813650?\nAnswer: 2, 5, 16273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = -s - 3*s. Let n = s + 16. Is (-5)\/n - -3557 - -5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7488 (base 16) in base 8?\nAnswer: 72210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -992 - -1441. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-1 - 0) + 3. Suppose -3*i + 14 = 5*g, 5*g - 10 = -i - b. Determine p, given that 1\/2*p + 0*p**2 - 3\/2*p**i + p**4 + 0 = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.84626 from -4.2812.\nAnswer: -5.12746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -65?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 11:13 PM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t + 435*t**2 - 150*t**2 - 144*t**2 - 142*t**2 + 5*t**3 in the form o*t + p*t**3 + g*t**2 + f and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gnifnnnxfxf. Give prob of sequence ng.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1304*w**3 + 141*w**3 - 327 + 1167*w**3.\nAnswer: 4*w**3 - 327","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -984, -1040, -1190, -1482, -1964?\nAnswer: -2684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 9844*g + 29536. Calculate i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 5586986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: a178 (base 15) to base 2\nAnswer: 1000010100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2864264279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 52. Let t be v(10). Solve -a + t = -0*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**2 + 2*j + 1. Let t be i(-1). Let d = 301 + -298. What is the nearest to d in t, -5, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 5*c + 2. Let f be w(-3). Let s = f + 19. Suppose 2*o - 2*g = 12, -5*o + 24 = 2*g - 5*g. What is the highest common divisor of s and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(77) - (sqrt(77) - 3*(sqrt(77) - sqrt(77)*4)) - sqrt(77)) + sqrt(77) - sqrt(77))*1)\/(-6*-4*sqrt(44)).\nAnswer: -5*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16396?\nAnswer: 2, 4099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 68\/805, 4\/215, 4\/13 in increasing order.\nAnswer: -2\/7, 4\/215, 68\/805, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3628779 rounded to three decimal places?\nAnswer: -2.363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 6 + 2 + 24 - 20 - 27 - 4 + 6 - 1 + (-3 + 5 - 4)*(0 - 1 - 3))*(4*x - 4*x + 2*x**3) to v*x**2 + y*x + w + b*x**3 and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 49*p - 273. What is the remainder when l(7) is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 220 and 180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -68050 divided by -5?\nAnswer: 13610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -332, 0.5, 2806, -3 in descending order.\nAnswer: 2806, 0.5, -3, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vuvvvueuvuvvvue. What is prob of picking 3 u and 1 e?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 7*p**2 + 2*p - 14. Let s be o(-6). Suppose s*v = 2*v + 744. List the prime factors of v.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5375 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqqwqqq. Give prob of picking 3 q.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from babclclllblbcbbbbb. What is prob of sequence abl?\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -4)*-1 - -2. Let c be -6*p\/3*2. Suppose -2*k - 10 = -2*n - 5*k, -c*n = 2*k - 36. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5406617431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1215 - 1238. Sort -7, a, -0.4 in increasing order.\nAnswer: a, -7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - 11*w**2 - 22*w + 13. Let q be -5 + (-12 - (5 - 9)). Is i(q) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 0, 7, 2, 8 in descending order.\nAnswer: 8, 7, 2, 0, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/11, 2\/9, 0.5, 162 in descending order.\nAnswer: 162, 0.5, 4\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26529 - 0.01529. Put -0.1, -4\/7, f, -0.02 in increasing order.\nAnswer: -4\/7, -0.1, -0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/63 + 12\/(-28). Is n at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21)\/r)\/(r\/r**(-1))*r\/r**(-1\/2)*r\/(r\/(r*r**22)) assuming r is positive.\nAnswer: sqrt(r)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -871, -1736, -2603, -3466, -4319?\nAnswer: -5156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 169, 374, 679, 1096, 1637, 2314, 3139?\nAnswer: 4124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -102, -257, -438, -657, -926, -1257?\n\"Answer: -2*i**3 - i**2 - 138*i + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + 5*n**2 + 5*n - 2. Let s(j) = 2*j**3 - 5*j**2 - 5*j + 3. Let d(t) = 4*g(t) + 3*s(t). Let m be d(5). Is (-1)\/3*m\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 19*f**3 - 11*f**2 + 16*f**3 + 4*f**2 + (-11*f + 4*f - 8*f)*(-2*f**2 + 2*f**2 - 2*f**2).\nAnswer: 27*f**3 - 7*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51213392.\nAnswer: 2, 3200837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h**3 - 2*h**2 + 4*h. Let z(b) = 6*b**2 - 22*b - 15*b**3 + 21*b + 10*b - 11*b**2. Calculate 5*y(x) - 2*z(x).\nAnswer: -10*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57199, -228747, -514661, -914941, -1429587, -2058599, -2801977?\n\"Answer: -57183*z**2 + z - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 650?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -701 + 88*u + 701 + 6*u**2 - 766*u**3 wrt u.\nAnswer: -4596","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c. Let j(m) = m + 4. Let o = 2 - 2. Suppose 2*r + 0*r + 6 = o. Let s be j(r). Let a(v) = -5*v - 2. Calculate s*a(p) + 4*n(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1211010100?\nAnswer: -1211010012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -503 or 11?\nAnswer: -503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -349*y + 352*y - 3*o, 3*o = 4*y - 8 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 + 6*b. Let r be w(6). Suppose r = 2*p + 2*p + 16. Is 7 a factor of p\/6 + 23\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -911.4029.\nAnswer: 915.4029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/(-9))\/(-6)*(-1 + 30\/26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3d391a (base 14) to base 10\nAnswer: -2122900","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15\/2*g - 1\/4*g**2 - 161\/4.\nAnswer: -(g - 23)*(g - 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/p)**(-6\/11)\/(p**(-6)*p\/p**5))\/(p\/p**1*p*p\/p**(-3)*p*(p**(-2\/11)\/p)\/((p**(-1)*p)\/p)) assuming p is positive.\nAnswer: p**(40\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2476808 and 1896?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -m - 4. Suppose 3*z = -3*p + 18, 3*z - m*p = 2*z + 18. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 3:20 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1886502 and -149\/2748.\nAnswer: 3773004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - -47) + (0 - -2) + -56\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + l + 5. What is x(-8)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 36*z**3 + 483*z**2 - 36*z - 480 = 0. Calculate z.\nAnswer: -8, -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + 21*c - 24. Determine d(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23588 is divided by 22419.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = j - 3*s, 0*s - 3*s - 22 = 2*j. Suppose 105 = 230*v - 215*v. Let x be (v - 9)*j\/2. Solve x - 1 = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274134?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(sqrt(448) + -2))**2 + (-5*(sqrt(448) + 1*sqrt(448) - sqrt(448)))**2.\nAnswer: -1152*sqrt(7) + 27471","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 70, 5, 2 in descending order.\nAnswer: 70, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2498953 + -3186164692\/1275. Let h = 1\/51 + d. Is -1 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 17. What is the lowest common multiple of l and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 17, -39, -2, 2 in ascending order.\nAnswer: -39, -3, -2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let u = -37 - -43. Let d be (-28)\/u*42\/(-28). What is the greatest common divisor of v and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 14*w - 20. Let f be r(-9). Let b = 151 + f. Solve 2*z - 2*n = 4, -z - 1 = -b*n - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3696 divided by 176?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1929, 1808, 1607, 1326, 965, 524, 3?\n\"Answer: -40*l**2 - l + 1970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -22*w**2 + 17*w - 5. Let g(z) = 24*z**2 - 20*z + 5. Determine -6*g(y) - 7*m(y).\nAnswer: 10*y**2 + y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 223 + -11. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 46055827 + 9?\nAnswer: 46055836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1212635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00013671 to six decimal places.\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3167725 and 152075?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -30*l - 32. Let v be z(5). Let s = -109 - v. What is the first derivative of -15*k**3 - 37 + s - 21 wrt k?\nAnswer: -45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - -3)\/((-6)\/(-4)). Let l = 148 + -143. Solve -l*j = 13 + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -8 + 3*(-3 + 4). Let q(c) = -2*c - 4*c**2 + c + 7 - 3*c. Let f(z) = 3*z**2 + 4*z - 6. Let m(a) = -3*f(a) - 2*q(a). Determine m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121531 = 18*a - 464356 - 78277. What are the prime factors of a?\nAnswer: 2, 19, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1528, -5, 3, 802, 4 in decreasing order.\nAnswer: 1528, 802, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/((b\/(b**(2\/5)*b))\/b*b)*b)\/b)**(1\/15))**(-3\/16)*((((b\/(b**8*b)*b)\/b)\/b)\/b*b*b**1)**(11\/3) assuming b is positive.\nAnswer: b**(-35221\/1200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22158 and 2826.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 998971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 68604373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/7 (c) -50943.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/6 + o**3\/2 - o. Let z(j) = j**2 - 2*j. Let p(w) = -3*t(w) - 5*z(w). Find the second derivative of p(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**3 - 2*p + p + p**3)*(0*p - p + 4*p) - 2*p**2 - 2*p**4 + 2*p**2 + (-p**3 + 0*p + 0*p)*(-2 + p + 2) + 3*p**4 - p**4 - 4*p**4.\nAnswer: -8*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889775 is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7504697 is divided by 32.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 376, 708, 990, 1216, 1380?\n\"Answer: -r**3 - 19*r**2 + 396*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 11. Suppose 2*w = 4*c - 0 - 2, 0 = -5*c - k*w + 8. Let r be (-10)\/(-6) + 2\/(-2). Is c < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163037, -326073, -489109, -652145, -815181, -978217?\nAnswer: -1141253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 645035341 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/3563 + 3569\/10689. Factor -2\/3 - 1\/3*b + h*b**2.\nAnswer: (b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytxuf. What is prob of picking 1 y and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**2 + 212*i - 14035. Calculate j(-264).\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 165*b - 10 = -162*b, -p - 5*b - 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3066 and 3318?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 19374480?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p + 15. Let m(h) be the second derivative of 2\/15*h**p - 1\/18*h**4 + 1\/3*h**2 - 4\/9*h**3 + 2*h + 0. Factor m(s).\nAnswer: 2*(s - 1)*(s + 1)*(4*s - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 7 - 5)*(25 - 25 - 3*p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-3)*(5 + 0 - 4). Which is smaller: 12\/13 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 3:42 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 1884646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 5 = -3*s. Let k = 2 - s. Let t be (k + -1 + 1)*-1. Which is the closest to t? (a) 1 (b) -4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24 - -73. Let c = -34 + u. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = 3*h, 0*i - 5*h = i - 7. Let a(n) be the first derivative of n**i + 39*n - 5 - 39*n. Let r(p) = -p. Calculate a(r(o)).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 227934 and 32123.\nAnswer: 1045989126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of t**8\/2520 - 11*t**7\/315 + 35*t**6\/36 - 49*t**5\/10 + 29*t**3\/3 + 215. Let c(p) be the third derivative of o(p). Factor c(l).\nAnswer: 2*l*(l - 21)**2*(l - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**2 - 154*m + 3509. Calculate h(29).\nAnswer: -6844","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 2, 13, 8, -2 in decreasing order.\nAnswer: 21, 13, 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-64))\/(1666\/(-784))?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*h = 11 + 24, -4*c + 10*h + 142 = -h - 2*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 326\/(-8) + (7308\/48)\/87?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 4 (c) -0.73 (d) 241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q**4 - 3 + 3)*(0 - 2*q + 0) + 13*q**5 - 28 + 28.\nAnswer: 27*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 1 = 3*y, 5*t + 4*y = -8 - 1. List the prime factors of t\/(-4 - 175\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9*k = 48. Solve -4*t = 5*j + 13, -4*t + 0*j - 4*j - k = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - z. Let f(x) = -8*x**2 - 5*x. What is -3*f(r) + 15*j(r)?\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6*u - b + 31 = 0, -3*u - 2*b + 29 - 80 + 46 = -37 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22902 + -45807\/2. What is the second biggest value in -5, -0.05, -3\/5, m, 158?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 296*i**2 + i**3 - i + i**4 - 2*i**3 - 215*i**2 - 2*i**4 as u + o*i**4 + v*i + q*i**2 + t*i**3 and give q.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - r + 70 - 244 = -13*p + 2*r, 0 = 2*r + 150 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142 - -140. Let p(v) = -1 - 532*v - 2 + 0. Is p(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-134)\/(-6))\/(2\/6). Let r be 242\/2 + -1 - -2. Let n = r - l. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 105 = 53. Suppose b*g + 150 = 38*g. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 168, 4\/5, -0.2.\nAnswer: -7, -0.2, 4\/5, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from kkmkkrmkkikm?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:51 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/7 (b) -3 (c) 34 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1, -4 in increasing order.\nAnswer: -12, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*f, m = f + f. Suppose 2*g = -m + 6. Differentiate 3*j**g - 2 + 4 - 4*j**3 with respect to j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.7 + 0.74. Let k = 0.04 - b. Is k <= 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*n + 14 = 40*n - 2 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -4*(sqrt(171) + sqrt(171)*5 - sqrt(171)))\/(sqrt(900)*-5).\nAnswer: 19*sqrt(19)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 11 + 27 + 5*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - 1\/(12\/(-14769)). Suppose 3525 + y = 4*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -45.57 and 0.03.\nAnswer: -45.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-194988)\/(-10) + 11\/55. Suppose y = -4*d + 3895, -y - b = -6*y + 4*d. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by 32.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0 + (2 - 2 - 1)*(-2 - 5 + 5) - 2 + 8 - 35)*(-x + 2*x**2 + x)*(3*x**2 + x - x).\nAnswer: -174*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 5*y + 3*y)*(-14*y**2 + 4*y**3 + 14*y**2 + (-y + 2*y + 0*y)*(0*y**2 + y**2 + 0*y**2)).\nAnswer: -10*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 408*((-1456)\/(-156) + (2*9)\/(-2)). Solve -9*f = -73 + p for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 4*y**4 - 5*y**4)*(-6*y + 3*y - 3*y) + (y + y + 0*y)*(-2*y**4 + 0*y**4 + 0*y**4).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/6)\/(p**(1\/13)*p))\/(p**(-1\/5)\/(p**12*p*p*p)) assuming p is positive.\nAnswer: p**(5443\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 15*i = -4*n - 3702, 0 = -n + 5*i - 921. Let a = -571 - n. What are the prime factors of a?\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.647 * 10867\nAnswer: -7030.949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 97*z**3 - 88*z**3 - 2*z**4 + z - 61*z**2 + 11 + 65*z**2 + 0*z**4 to w*z**3 + j*z + u + i*z**4 + p*z**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -6862.5 to the nearest 10.\nAnswer: -6860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -6. Suppose -i + 14 + h = 0. Suppose -j = 6 - i. Calculate the highest common factor of 189 and j.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 at most -3699\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112201 + -100101?\nAnswer: 12100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 17 and 0.05 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 38063 + -37974.931. Let i = -88 + n. Let p = i - -0.033. What is p rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/((-19)\/171). Suppose q*p + 3*a = 0, -6*p + p = -5*a - 40. Factor 8*v**2 - 29*v**4 - 8*v**3 - 4*v**2 + 33*v**p.\nAnswer: 4*v**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/5)*d)\/d)**(2\/155)\/(d**(1\/8)\/(d**(-3)*d)) assuming d is positive.\nAnswer: d**(-13079\/6200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c + 4*n - 8, 4*n = -2*c. Suppose -2*j = -0*j - c. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 157046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49 and -45\/467?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -30, -51, -76, -105, -138?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*n**5\/4 - 90669*n**4\/4 - 11485687*n**3\/4 + 19324169*n**2\/4 - 2260196*n + 323245 = 0. Calculate n.\nAnswer: -9946, -130, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -48.17 (b) 1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -558*b + 141. Let x be m(-11). Suppose 5*i = -4*w + x + 282, 0 = 2*i - 10. What are the prime factors of w?\nAnswer: 2, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (552\/176)\/((-192)\/(-352))\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d + 100*d**3 - 205*d**3 + 104*d**3 - 3*d + 16*d.\nAnswer: -d**3 + 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340553 is divided by 113483?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -31\/3 (b) -0.5 (c) 4 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -25, -36, -49, -64, -81?\nAnswer: -100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 16?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-3))**32\/(k\/(((k**(-1)\/k)\/k)\/k))**22 assuming k is positive.\nAnswer: k**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 142*b**2 + 287*b - 140. Calculate the remainder when 175 is divided by d(-144).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 136051.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**5\/240 - j**4\/96 - j**3\/12 + j**2\/2 + 4. Let r(g) be the second derivative of x(g). Find z, given that r(z) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000043505566 rounded to 7 decimal places?\nAnswer: -0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - 12 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -47? (a) 3 (b) -16 (c) -87\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6953490*r - 2708902 wrt r?\nAnswer: -6953490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 0 - (32 - 49\/2).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 5 + (-5 + 2 + 2)*(1 - 3 + 0))*(-1700*i**5 - 2*i**3 - 6894*i**5 + 5367*i**5 - 9478*i**5).\nAnswer: 12705*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**2\/2 + 240*m + 483\/2 = 0.\nAnswer: -1, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/8 of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 68*m + 70. Let y(p) = 2*p**3 - 7*p**2 - 2*p + 25. Let o be y(4). Let z be n(o). Solve 8 = -z*r - 4*s, s - 6 = 3*s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41744 and 269168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**6\/15 + 324*p**5\/25 - 79*p**4\/5 - 108*p**3\/5 + 32*p**2 + 1464. Find s such that g(s) = 0.\nAnswer: -1, 0, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7*r**2 + 1. Let f(y) = -25*y**2 + 3*y + 2. Let o(l) = f(l) + 4*n(l). Let c(v) = v**2 + v + 1. Determine 4*c(w) - o(w).\nAnswer: w**2 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 3. Let p be k(-10). Suppose -6*g + 7 = -p*g. Is (-14)\/(-8) + g\/(-28) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (42 - (39 - 28)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**5 + 392*n**4\/3 + 1030*n**3 - 54040*n**2\/3 + 27528*n - 32032\/3 = 0. Calculate n.\nAnswer: -52, -22, 2\/3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -2538499?\nAnswer: 2538498.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16753 = 474*t + 7895 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**3 + 14*h**2 - 14*h. Let i(b) = -4*b**3 - 12*b**2 + 12*b. Let g(z) = -6*c(z) - 7*i(z). What is g(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * 0.180568.\nAnswer: 3.250224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 28214095 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 9*c**2 + 68*c - 28. Let r(g) = 2*g**2 + 16*g - 7. Let y(v) = 17*r(v) - 4*u(v). Let i(d) be the third derivative of -d**4\/24 + d**2. Give i(y(t)).\nAnswer: 2*t**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -142 (base 13) to base 8.\nAnswer: -337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {y: 5, x: 11}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2. Let o(f) = -f**2 + 15. Give a(o(h)).\nAnswer: h**4 - 30*h**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -5 + 7*n**2 + 12*n + 0*n**2 - 8*n**2. Determine r(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*u + 19*u + 543 + 23697 = 0. What is the least common multiple of 3 and u?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18483721.\nAnswer: 18483721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, 103, -13, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 689 divided by -190.\nAnswer: -689\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40103 and 107808659?\nAnswer: 2359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722331.\nAnswer: 3, 31, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -38897.52 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.038 + -64854266050.\nAnswer: -64854266050.038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4182 plus -15.48095?\nAnswer: 4166.51905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10c55 + -7?\nAnswer: -10c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -20692, -41649, -62604, -83557, -104508, -125457?\n\"Answer: q**2 - 20960*q + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -3*i + 8*i - 128965, 0 = -2*u - 4. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4 - 9) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + r + 2. Suppose -4*m + 15 = -3*d, -3*m - m - d = 5. Give a(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 10*a**2 - 2*a. Let t(z) = 2*z**3 + 19*z**2 + 5*z + 1. Let w(f) = -5*o(f) - 3*t(f). Give w(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30931 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + (-75)\/18)*6. What is the smallest common multiple of (-22)\/(27\/(-45) - v\/(-5)) and 1\/(1 - (-6)\/(-7))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Let c(q) = 11*q**3 - 8*q**2 + 3*q + 11. Let t(v) = 7*v**3 - 5*v**2 + 2*v + 7. Determine z*c(j) + 8*t(j).\nAnswer: j**3 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1645 - 1628. What is the third biggest value in 1.9, 3, c, -1?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l - 18. Let w be n(9). Calculate the highest common divisor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 + 80*k - 960. Give z(60).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -h - 4*s, -s = 4*h - 1 + 13. What is the nearest to 2 in 3\/2, 2, h?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2691878743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -206053140 (base 7) to base 15\nAnswer: -111e33c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/2*2\/1. Let h(r) = -4*r**3 + 5*r**2 - 5*r - 5. Let d(f) = -f - 4 + 141751*f**2 - 141750*f**2 - f**3 + 3. Determine y*h(c) + 15*d(c).\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(5\/3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.07 - 0.57. Let a = 1.2 + m. What is a rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-6)*(1 - 2\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/25*((-3)\/(-1))\/63.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -25*n + 21. Suppose 56 = 23*a + 148. List the prime factors of o(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3 + ((sqrt(490)\/(sqrt(40) + sqrt(10)) + sqrt(49))*1)\/(6*(sqrt(7) - sqrt(21)\/sqrt(3)*-3)))**2.\nAnswer: -8*sqrt(7)\/9 + 20743\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4994331226?\nAnswer: 2, 2621, 952753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 5 - 9 - (11 + -19).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -32 + -2 + (-7 - (1 - 3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 1. Let z = 22 + -21.7. Let m = 83.2 + -83. Put m, z, -1\/2, r in descending order.\nAnswer: z, m, -1\/2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1188896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 23 - (6 - 29 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8344 and 1792.\nAnswer: 267008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19067 and 88021?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + s - 1. Let g(j) = 25*j**2 - 131*j + 44. Let n(w) = -24*w**2 + 132*w - 45. Let a(m) = 3*g(m) + 4*n(m). Let p(o) = -a(o) - 6*z(o). Factor p(l).\nAnswer: 3*(l - 9)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of 10*d**3\/3 - 6*d + 4. What is the derivative of h(j) wrt j?\nAnswer: 20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -10. Suppose 0 = -4*a - r + 28. Suppose -11 + 4 = -5*g + 2*x, 2*g - 3*x - a = 0. What is the third biggest value in -3, g, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 - 6*d - 30. Let r be n(0). Is r at least -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millimeter in micrometers?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34.47133 minutes to milliseconds.\nAnswer: 2068279.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-1))\/s*s*s\/s**(-2)*s*s)\/(s\/s**(-2\/15)*s**(1\/12)) assuming s is positive.\nAnswer: s**(347\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124659646 is divided by 4448?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*(3 + (-14)\/3). Suppose -2*l + 0*k = -5*k + 3, 9 = 4*l + m*k. Sort l, 1\/10, 3 in increasing order.\nAnswer: 1\/10, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + (-45)\/18)\/((-6)\/(-128)). What is the greatest common divisor of d and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 - -2)*-4. Suppose -238 + 223 = -5*y. Let c be (-8)\/3*18\/(-4). Solve 9 = -w - 2*f + y, -w = o*f + c for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.013370197 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 370*b + 1874. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 316492.7 grams in milligrams?\nAnswer: 316492700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (21 - 27) + -59?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 34*v**3 + 3*v + 16. Let i(j) = 35*j**3 + 4*j + 17. Let l(y) = -4*d(y) + 3*i(y). Differentiate l(a) wrt a.\nAnswer: -93*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/8*-2*1008\/84. Solve -3*y = -y - 4*g, t*g = -3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*c**3 + 143 - 143)*(0 + 0 + 122 + 8 + 60).\nAnswer: -3420*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 27. Suppose -7*c + d*c = -223. Suppose -q = -5*u - 5*q + 231, 5*u + 2*q - c = 0. List the prime factors of u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1846756, -3693623, -5540498, -7387387, -9234296, -11081231?\nAnswer: -12928198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 195581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28) + (sqrt(700) - sqrt(700)*2))\/sqrt(4))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 11. Suppose g + 3*g = -8, -k*g - 75006 = -5*r. Round r to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 4) + (2 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 47 = 4*u. Let v be (3 + u)*2\/4. Suppose 775 + 25 = 4*n. Calculate the highest common divisor of n and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24277 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2238093 is divided by 27972.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 PM and 9:30 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 2*o + o**3 + 0*o**3)*(-42*o + 354 - 177 - 176).\nAnswer: -42*o**4 + o**3 - 42*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -206, 205, 1878, 5443, 11530, 20769, 33790?\n\"Answer: 105*u**3 + u**2 - 327*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604 is divided by (-1 - (2 - -3) - (-70)\/84)*-6.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 7. Let k = -42 + 36. Let b be m(k). What is the second biggest value in -2\/19, -4, 2\/15, b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of t**4\/12 + t**3\/6 - 7*t**2 - 5*t - 4. Let h be n(3). Put 6, 2, -3, h in descending order.\nAnswer: 6, 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = 9. Let p = 15 + r. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -36.01 (c) -0.2 (d) -3\/5 (e) 3\/2 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*w + 68 + 19, 81 = 3*w + 5*p. Calculate the remainder when 145 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*k**3 - 2 + (9*k**2 + 44 - 44)*(-2*k + 11*k + 3*k) - k**3 - k**3 + k**3 + (-k**3 - 2*k + 2*k)*(1 + 1 + 0).\nAnswer: 107*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 18 + 4 + -5 - 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 85 = -81. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + -2.93. Let z = 15.89 + -16. Let v = z - k. Which is the second smallest value? (a) -5 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14479425 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 5 + 2)*(-1 - 2 - 1) + (2 + 1 - 1)*(0 - 4 + 3) - 1 + 4 - 2)*(-2*x**2 + 7*x**2 - 3*x**2) + x**2 + x**2 - x**2 + (13 + 24*x - 13)*(0*x - x + 0*x).\nAnswer: -49*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 5)*(-1 + 1 + 11*m)*(-20 + 20 - 8*m).\nAnswer: 264*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 8\/(-6) - 183\/6. Let q = f - -91\/3. Let m be 4\/(-6)*1\/(-2). What is the smallest value in m, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2487915556?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-638)\/(-8))\/(9\/388). Let l = w + -3432. What is the common denominator of -15\/22 and l?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96643?\nAnswer: 96643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -309 (b) -1\/3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4109 - 591. What are the prime factors of z?\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 8. Let l(b) = 48 + 706*b**2 - 41 - 717*b**2. What is y(l(v))?\nAnswer: -33*v**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -49.\nAnswer: -26\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 + -5 + (-3 - -2) - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i - 2. Suppose -4*q - 11 = -k, -4*k = 2*q - 3*k + 7. Calculate the remainder when g(q) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14670.27 to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 229*j - 548. Let n be w(6). What is the greatest common factor of 14 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 18*m - 220. Let f be a(12). Put -5, f, -3, 1 in decreasing order.\nAnswer: 1, -3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 0.2, 5, -32\/9 in descending order.\nAnswer: 5, 0.2, -3\/4, -32\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiqm when four letters picked without replacement from {f: 1, q: 4, v: 1, m: 8, i: 6}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(18\/11)\/j*j)\/((j**(15\/7)*j)\/j*j*j) assuming j is positive.\nAnswer: j**(-193\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 1 + 1 - 3 - q + 0. Let h(c) = -5*c - 10. Let f(y) = 11*y + 20. Let a(x) = -3*f(x) - 5*h(x). Suppose 0*l - 4 = 4*l. What is l*a(w) + 10*n(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1024800.1 - -1024801.1875693. Let w = f + -1.087. Round w to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 134842266*d**6 + 584*d**2 + 8010*d + 1?\nAnswer: 16181071920*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 6 + 8*a - 6 - a. Let u(c) be the second derivative of c**7\/2520 + c**4\/6 + c. Let d(x) be the third derivative of u(x). Calculate d(s(w)).\nAnswer: 49*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**4\/10 + 552*y**3\/5 - 171396*y**2\/5 - 10356. Factor i(r).\nAnswer: -2*r*(r - 414)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 1. Let f be w(-1). Suppose -f*l = -7*l + 60. Is l a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:05 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose -v*f = f. Which is smaller: f or 2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 614323861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 144282*n - 2707. Is m(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21 times -51?\nAnswer: -10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1271116014.\nAnswer: 2, 3, 7, 30264667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 99.51989 days?\nAnswer: 8598518.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8917800 to the nearest 100000.\nAnswer: 8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1379933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + 2*(1 + sqrt(5808) - (sqrt(432) + sqrt(432) + sqrt(432)*2 + sqrt(48) - sqrt(48))))*-1)**2.\nAnswer: -112*sqrt(3) + 241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*u - 29 + 118 - 30 - 27 - 32.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-45)\/(-30)*(-28)\/(-6). Let q(w) = -14*w**3 + 3*w**2 - 5*w - 6. Let i be q(-4). Suppose -3*n = -2*x + c*x - i, x - 193 = -2*n. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*j**4 - 9 + 354*j - 352*j + 4*j**2 - j**4 + 2*j**2 + j**3 - 3*j**2 to the form c + m*j + q*j**3 + f*j**2 + g*j**4 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -r + 28 + 242, h + 1091 = 4*r. What is the remainder when r is divided by 220\/(-22) + 108 - (5 - 5) - (-3 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-8 + -652)\/(-3) - 4. What is the greatest common factor of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 + 0.3. Let k(y) = 2*y**2 + 20*y - 43. Let x(o) = -o**3 + 23*o**2 + 48*o + 52. Let s be x(25). Let f be k(s). Which is smaller: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3212*r - 198839 + 12543 = 0 for r.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-6))\/((-6)\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2*k - k)*(4*k**4 - k**4 + 0*k**4) - 157*k**3 + 157*k**3 - 14*k**5.\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*w - 100*w**3 + 149*w**3 + 1174*w**3 + 2788 - 2*w wrt w.\nAnswer: 3669*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -35, -80, -161, -290, -479?\nAnswer: -740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8 = -j, -2*j = -4*x + 24. Let w be (3\/2)\/(3\/x). Let o(d) = -1 + 6 - 2 - w - d**3. Let r(u) = -5*u**3 - u**2 - 2*u + 3. Give -3*o(a) + r(a).\nAnswer: -2*a**3 - a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwwwkwkkkkkkwk. Give prob of picking 3 k.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10827121 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*o - 108. Suppose 6 = -3*d - 5*g + 45, 3*d + g = o. Let h(c) = -34*c - 700. Let k be h(-22). What is the greatest common factor of k and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j**3 - 73*j**2 - 17*j + 258. What is s(15)?\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/3 + (-15 - -18))*-12. Suppose 0 = -0*q - 2*q. Solve -f + 0*f - k = q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 392 - 92. Suppose 3*j + 0*j + 96 = 0. Let u = 62 + j. Calculate the highest common divisor of u and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15659 + 2382. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71d (base 14) to base 10.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.7 - 3. Let x = -0.3 - y. Let m = 0.01 + x. What is m rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -348744 times -4?\nAnswer: 1394976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -10\/7, 0.3, 3, 13\/4?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068 + 25231 = 29*y + 190*y + 3304 for y.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126 divided by 11.\nAnswer: 126\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u - 4. Let a(o) = -7*o - 3. Calculate 3*a(i) - 2*v(i).\nAnswer: -7*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7976211*u - 2*u**3 + u**3 - 7976211*u.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2 = -3*q, -3*p - 4 + 43 = 4*q. Suppose -3*r - r - 8 = 0. Let h be (0 - -3)\/9*-1. Which is the second smallest value? (a) h (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 2, 323 in descending order.\nAnswer: 323, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tccttttttctttttt. What is prob of picking 3 t?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - b. Let p(j) = 6*j**3 - 7*j. Let v(d) = -4*n(d) + p(d). Find the second derivative of v(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/69 and 3\/23.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x**3 + 14*x**2 - 8*x. Let i(w) = -w**3 - 9*w**2 + 5*w. Let m(l) = 5*g(l) + 8*i(l). What is j in m(j) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1538.17 rounded to the nearest 10?\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.4683 times 0.3?\nAnswer: -8.54049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(10\/7))**47 assuming c is positive.\nAnswer: c**(470\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*f. Let b = 29\/6 - 13\/3. Is b at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -78*o + 577. Give s(8).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**7\/420 - 3*b**4\/8 + 14*b**3\/3 - 3. Let p(l) be the third derivative of m(l). What is the derivative of p(r) wrt r?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -2 in descending order.\nAnswer: 2, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 2*i - 20, -15*t + 3*i = -19*t + 9. Solve 3*o - 2*y = o - 6, 2 = t*o - 2*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 1516\/9. What is the nearest to -1\/3 in -4, -0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 3:01 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**8\/28 + 5*c**4\/12 + 4*c. What is the third derivative of v(i) wrt i?\nAnswer: 240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*i - 90*i + 1052 = 0. Calculate the remainder when i is divided by 70.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*(-1 - 0 - -4). Suppose 4*h + 108 + w = 0. Does 15 divide h\/55 - 276\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (6\/10)\/(39\/7995)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 469361740 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-28) - 0)\/(7\/(-98))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -456874019 - -0.39\nAnswer: -456874018.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8179636271 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3240580 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21130 and 3860.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1225944, -1225944, -1225942, -1225938, -1225932, -1225924, -1225914?\n\"Answer: x**2 - 3*x - 1225942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 201332 and 4?\nAnswer: 201332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*x - 126*x**2 - 9*x - 105*x**2 + 40*x**2 + 276 wrt x.\nAnswer: -382*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.13 - 68.13. Let d = t + 65.999942. What is d rounded to 6 decimal places?\nAnswer: -0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.66 - -0.653. Let z = 4.007 + n. Let i = -0.9 + 1. Which is the nearest to i? (a) 1\/3 (b) z (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1}. Give prob of sequence yoy.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - 28. Let t be (-4 + 2)\/(-10) - (-2046)\/q. Let a = 66 - t. Is 12 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/7 - 64*f**3\/3 + 2472*f**2\/7 - 14400*f\/7 + 11465. Factor h(j).\nAnswer: 4*(j - 100)*(j - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3409*t = -3475*t - 1056 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 305 + -302. Suppose 5*j = 3*o - 1027, 0*j = -3*j + l. Suppose 6 + 37 = m. Calculate the greatest common divisor of o and m.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/7 (b) 0.2 (c) -423 (d) -2 (e) 3 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6609011531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -80 (base 10) to base 7\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 - 30 = 5*v. Is v equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6495 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of v**5\/60 + 5*v**4\/24 - v**3\/6 + 609*v**2. What is q(4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20050549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5140693337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n**4 + 13*n**4 - 4*n**4 - 2*n**2 - 2*n**4 + 2*n**2 + (n**2 - 4*n + 4*n)*(-2*n**2 + 2 - 2) - 5*n**4 - 3*n**4 + 3*n**4.\nAnswer: 7*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-188*x**4 + 8928*x**4 - 1406*x**4)*(8 + 2 + 1) to the form d*x**2 + y*x + b*x**4 + o + u*x**3 and give b.\nAnswer: 80674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 24 and 0.011.\nAnswer: 24.011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 20516 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2767*l**3 + 901*l**3 - 1809*l**3.\nAnswer: -3675*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/27, -0.5, -9, 0.4, 4?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + q**2 + 4*q**2 + q**2.\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.8673034 to four decimal places.\nAnswer: 0.8673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - ((0 - -4) + -2459) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*c + 493 - 29 = -56*c - 114 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -t + 3*z - 14, z = -4*t + 12. Let b(j) = 5*j**3 - 3*j**2 + 2*j + 2. List the prime factors of b(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27354)\/5358 - (-2 + 108\/57)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let w = -9 + 31. Let s be ((-1)\/w)\/((-10)\/(-20)). Put u, s, -1\/6 in descending order.\nAnswer: s, -1\/6, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**4 + 5*f + 3 - 4 - 10*f**2 - 6*f + 4*f**3 + 8*f**2 in the form w*f**2 + a*f**4 + y*f + j*f**3 + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 9*t**5\/20 - 17*t**4\/12 + 17*t**3\/6 + 17*t**2\/2 - 7*t. Let b(g) = -g**3 + 2*g**2 - 2*g - 2. Determine 51*b(z) + 6*n(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9069 - 9068. What is the closest to -5 in 4, -0.02, 0.2, t?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 46 + 1 - (23 + -8).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 665 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 2\/5139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 9:32 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94360 and 6176536?\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q - 1. Suppose -12*a = -16*a + 20. Give b(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 139808 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6110 by 611.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(4*(-4)\/3520). Let f = 440 + c. Factor -5\/2*k - 160*k**4 - 30*k**2 - 120*k**3 + f.\nAnswer: -5*k*(4*k + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*z + 1361 + 3199 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 6070 + 6085 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 5261 = -5399 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 11868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3996301 to the nearest 10000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*k + 3928 + 42439 + 9778 = -268*k for k.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 99*r**3 + 3*r**2 + 2*r + 5. Let t(x) = -x**2 - 7*x + 21. Let i be t(-9). Let m be y(i). Let h = m - 1880. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1 - (-6)\/6*992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/6, -3 in ascending order.\nAnswer: -3, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 14) to base 10\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17769*r + 17778*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8512\/241869?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-540)\/(-54)*(-9)\/(-30).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 26*g**2 + 2*g + 11. Is y(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35433 and 13335.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - -78. Let p = u - 46. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**3 + o**3 + o**3 + (o + 2*o - o)*(o**2 + o**2 - 3*o**2) + 20416 + 13*o**3 + o**2 + 39*o - 20414 - 5*o.\nAnswer: 10*o**3 + o**2 + 34*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11001?\nAnswer: -11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.672 - 0.63. Let m = 3.202 - k. What is m rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -262, 28?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73626.\nAnswer: 2, 3, 7, 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 6073.\nAnswer: 4\/6073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -139*y**2 + 396*y - 2. Let a(c) = -4*c + 2. What is r(a(j))?\nAnswer: -2224*j**2 + 640*j + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -800711 + 2778467093\/3470. Find the common denominator of 107\/20 and l.\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84415875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 2*d**3 - 2*d**3)*(-134*d - 69 + 69) - 2*d**4 + d**4 + 0*d**4.\nAnswer: -269*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 198f (base 16) to base 7.\nAnswer: 25035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -26\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + (sqrt(1088) - sqrt(1088)*2))*4 + 2)**2.\nAnswer: -1536*sqrt(17) + 17984","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgz when three letters picked without replacement from zzzzzwlzlggzggz.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 43654*v**2. Let x(d) = -4*d. What is x(b(n))?\nAnswer: -174616*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -178 + 1420?\nAnswer: 1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 339155, 678311, 1017467, 1356623, 1695779?\n\"Answer: 339156*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 5*y = 5, 0 = -501*y + 502*y - 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -1 - 3\/50*a**5 - 363\/10*a**2 - 22*a**3 + 43\/20*a**4 + 44*a. Find j such that y(j) = 0.\nAnswer: -1\/2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 67 = -5*d, 0*d + 4*q = -2*d + 34. Let g be d + (1\/((-3)\/9) - 0). Let s(t) = -2*t + 5. Calculate s(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22067 (base 8) to base 3.\nAnswer: -110201101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -1\/30*d**5 + 0*d**4 + 0*d**3 + 0*d**7 + 0*d + 0*d**6 + 3*d**2 + 1\/112*d**8 + 0. Find the third derivative of f(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 3. Let f be u(-7). Suppose 2 - 22 = -4*x. Which is the second biggest value? (a) f (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1763381011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2962363?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 334305405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 48 = 3*u. Suppose -25 = u*n - 61. Is 6 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54976*f**3 + 54941*f**3 - 11*f**2 - 109887*f**3.\nAnswer: 30*f**3 - 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 622635 is divided by 7412?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1973897 and 5.\nAnswer: 9869485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20280 and 3250.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18058 + -6269. What are the prime factors of x?\nAnswer: 11789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152192*f + 4*f**2 + 152176*f - 304368*f.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*r = -46*r - 42*r + 648 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3944 - 6111. Let q = r - -6254. What is q rounded to the nearest 100?\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/1885 + -5361\/1885. What is the common denominator of 67\/42 - (-11)\/(-66) and k?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 21*q + 106. Let b = 11 + q. Suppose 0 = b*m - 5*m - 5*z + 273, -3*m = -3*z - 873. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69344 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**4*y**2 - 4*m*y**3 - 13*m - 6*y**3 - 9 with respect to m.\nAnswer: 4*m**3*y**2 - 4*y**3 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -413 - -981. Suppose -3*w - b - 40 = -4*c, -20 = -5*w. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 40*s**4 - 258*s**3 - 532*s**2 + 64*s + 768 = 0. What is s?\nAnswer: -8, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 7. Let d be h(-5). Suppose -3*g + 0*g + 6 = 0. Suppose 5*k - 16 = -a, -g*k + 2*a = k - 20. Solve -d*c = -0*q + k*q + 1, -4*q = 4*c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15309, -61821, -139349, -247899, -387477?\nAnswer: -558089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 4. Suppose 0 = -c - 5 - 0. Let f be n(c). Suppose -v + 28 = 4*i - 2*i, -i = 4*v - f. List the prime factors of i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = p + 3*p + 31, -k + 13 = 2*p. Let d = k + -3. Let g = d - 13. Solve 8 = -r - g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhp when four letters picked without replacement from qhqhqhhhqqqqpqh.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + 2. Solve 2*r + q = -r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 6*y**2 - 3*y - 3. What is c(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -97\/155 + 7\/31. Which is the nearest to -14? (a) t (b) -0.5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcl when three letters picked without replacement from lfcru.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(95 - 95 - k) + (-4*k + 3*k + 0*k)*(2 + 1 - 4)*(3 + 0 - 2) - 171*k + 85*k - 35 + 87*k to s*k + j and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**2 + 0 + 0*w**3 - 1\/6*w**4 + 8*w. Let v(k) = -5*k**2. Calculate v(r(p)).\nAnswer: -20*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1312.968m?\nAnswer: 1312968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -11. Let u(p) = -p**2 + 13*p + 13. Let l be u(14). What are the prime factors of z*(0 + 1)\/l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.639 rounded to one dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 600, -3, -127?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of -b**3 - 447*b**2\/2 + 2790*b + 442. Factor w(a).\nAnswer: -3*(a - 6)*(a + 155)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33065 + -1?\nAnswer: -33066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -116, -200, -300, -422, -572, -756?\n\"Answer: -v**3 + v**2 - 70*v + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89\/(6675\/(-3000)) - 14?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7231823.064 and -276?\nAnswer: 7232099.064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2965887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 + 120. Let q be h(0). Suppose -s + q = -4*t, 3*t + 0*s + 4*s = -90. What is the units digit of ((-38)\/6)\/(10\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - i + 3 = 0, i + i = s + 9. Let f = 3 + s. Let c(z) = 0*z - 3*z + f*z + 0*z. Let o(h) = -4*h. What is o(c(r))?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 7*p**2 - 64300*p - 707786. Determine y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-5)\/(-5*1\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14758141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 26*z - 4*z**3 + 2 + 3*z**3 - 23*z to m*z + r + v*z**2 + a*z**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 131080545 to the power of 1\/3, to the nearest integer?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h = -330895 + 330811 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4797600593?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let n(i) = -3*i - 10. Let g(c) = -n(c) - 2*w(c). Calculate g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 185236426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (2 - (4 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4222 (base 5) in base 16?\nAnswer: -232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/((-13)\/78*-30)*1\/(3\/(-155))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*s**2 - 25*s**2 + 7*s**2 - s**2.\nAnswer: -75*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -59 (c) 1\/7 (d) 2\/13 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 244 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = -2*n - 3, 15 = -3*n. List the prime factors of (-1)\/((-1940)\/645 - x).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16029*i**2 - 364105*i**2 - 315216*i**2 + 180054*i**2.\nAnswer: -515296*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 2 = -19*c. Let s(f) = c*f - 4 - 6*f + 3*f + 0*f. Suppose 0 - 9 = 3*w. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 230 is divided by 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10112110002020 (base 3) in base 13?\nAnswer: 50a16b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - 31 - -25 - (-6 - (-3 - -1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/55)\/u**(-1\/6)*(u**15)**12)**44 assuming u is positive.\nAnswer: u**(118934\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 456 and 368867064.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*k**2\/5 - 156*k\/5 - 256\/5.\nAnswer: -2*(k + 2)*(7*k + 64)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 15 = -4*h, -1129*q = -5*h - 1154*q - 5 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (162 - (19 - -58)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 320, 321, 332, 353, 384, 425?\nAnswer: 476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 289043 and 3358879.\nAnswer: 97407491","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.56 - -7.36. Let h = o + -6.771. Round h to two decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + sqrt(19) - sqrt(19))*6 - -1*sqrt(1900))*-3)**2.\nAnswer: 1080*sqrt(19) + 17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Suppose w + 14 = 3*w - d*p, -p - 31 = -5*w. Suppose -2 = 2*b - 5*a - w, 52 = 5*b - 2*a. Calculate the highest common divisor of b and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6570 * 0.3\nAnswer: -1971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43014 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*w - 32 + 50 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/13 + 16792*l**3\/13 - 35229612*l**2\/13 - 5423816*l - 2712554.\nAnswer: -2*(l - 4199)**2*(l + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2068 by -6.\nAnswer: -1034\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 0.3 (c) 0.9 (d) -0.35 (e) -1 (f) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2)*-2 + 1. Let l(r) = -3*r**2 + 3*r**2 + 10*r**z + 13 + 9*r + r**3. Is l(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 37 = 4*x + 4*s, -3*x - 4*s + 30 = 0. Solve 3*q - x = -2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 9*r - 1. Let u be v(1). Suppose u = 2*k - 4. Is 11 a factor of ((-8)\/2)\/(k\/(-33))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1330 - 10232?\nAnswer: -11562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -7*h + 4*h**3 + 5*h**3 - 7*h**2 + 4*h**3. Let f(d) = 4*d**3 - 2*d**2 - 2*d. Let m = 0 + 7. Calculate m*f(p) - 2*b(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5dd1 - 18?\nAnswer: -5de9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1937\/85 - 101\/5. Which is the second smallest value? (a) x (b) 0.4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, v: 2, s: 1, a: 2, e: 1}. Give prob of sequence vev.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 5*a**2 + 2*a + 11. Let z be j(4). Determine i so that -2*i**2 - 5*i - i**z - i**4 - 2*i**3 + i**2 + 2 + 8*i = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 118 = 2*y, -5*b = -0*b - y - 546. Suppose -b = v - 2*v. Suppose 5*a + 35 = v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2.7, -5\/3, 510079?\nAnswer: 510079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6053740 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.25 - 44.25. Let m = h + 43.9999979. What is m rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 8 + 12. Calculate the lowest common multiple of 2 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28077 and 309.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 29 - 147 = 0. Let g = r - -358\/3. Factor -g*c - 2 - 2\/9*c**2.\nAnswer: -2*(c + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3 = -0*t. Let u be (0 - t)\/((-15)\/10). Suppose 0 = u*x - 5*r - 61, -5*r = 2*x - x + 7. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*p**2\/7 - 72*p\/7 - 4488\/7 = 0. Calculate p.\nAnswer: -22, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 760 and 72.\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -3*n - 0 + 1, n = -b - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b + 33*b - 60 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*17\/(-51)*3*(-17)\/(1768\/16)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + ((-7 - (-15 - 112)) + -16 - -6).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3529634 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 7 + 5. Let l be -3 - ((-64)\/v)\/(-4). Solve g = 5 - l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 42*o + 42. Let z be q(-21). Calculate the highest common divisor of z and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25920, 25921, 25922, 25923, 25924, 25925?\nAnswer: 25926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(102) - 3*sqrt(102)))\/(sqrt(6) + sqrt(24)*2))**2.\nAnswer: 2448\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -126202992 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.8 - 7. Let w(s) = s**2 - 7*s + 1. Let f be w(6). What is the nearest to z in -0.1, f, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3595 divided by 719?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -10. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/(-14)*105\/45?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -91215159393959 - -1\nAnswer: -91215159393958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3099240517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:53 PM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937927245 a multiple of 3707?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -133832.\nAnswer: 53532.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**4 + 3*v**4 + v**4)*(-1 - 4*v - 4*v + 7*v).\nAnswer: -2*v**5 - 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 15\/4, -4, 0.1 in descending order.\nAnswer: 6, 15\/4, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x = -a - 8*x - 10, 4*x - 8 = 2*a. Solve -2*n - 20 = -3*j, 3*n + 5*j + 0 - 8 = a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*o**2 - 2*o + 69 + 66 - 135 to a + d*o**2 + t*o and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0668281 litres in millilitres?\nAnswer: 66.8281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 4. Let z be 2\/v - 32\/42. What is the biggest value in -1\/3, z, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4*(-4 + 5 + 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 5\/2*n**2 + 0*n + 10. Let f(s) = 127*s**2 - s - 133*s**2 + s. Determine g(f(d)).\nAnswer: -30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3\/10 + 11\/30. Let m = 2.5 - 5.1. Let n = 3 + m. Which is the third biggest value? (a) 0.3 (b) n (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2145 in -8\/5, 2\/3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 1\/5 (b) 4 (c) -17 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1155)\/(-380) - 3)*376\/(-276) and -9\/16.\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 23400010 = -2*w, 5*k - 58500020 = 10*k + 4*w. Round k to the nearest one hundred thousand.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*u - 290. List the prime factors of u.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*k - 38*k - 141 = 3*w, 2*k + w - 91 = 0. Calculate the greatest common divisor of 529 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.330043m to micrometers.\nAnswer: 7330043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 259103.\nAnswer: -5\/259103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/422 and -23\/9.\nAnswer: 3798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*g + 2, 4*g - 3*i - 11 - 5 = 0. Suppose -6*k - 9 = -39. Suppose -10 = -5*b + k. Calculate the least common multiple of g and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74152611.\nAnswer: 3, 13, 19, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-14))\/((-604)\/906)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = g, -3*a + 47*g - 9 = 7 + 58 + 64 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 259309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 600120495 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - (7 + (-4305)\/(-110)).\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 2*z**2 - 3*z - 20*z**3 - 12*z**3 + 34*z**3 in the form a*z**2 + g*z + r*z**3 + n and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/10)\/(184\/(-460))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**3 + 5*w**2 + 3*w + 11. What are the prime factors of s(-6)?\nAnswer: 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540644267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 426028000 to the nearest 1000000.\nAnswer: 426000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3 and 91\/1190244?\nAnswer: 1190244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)\/(q\/(q*q**1)))\/(q**2)**(-13) assuming q is positive.\nAnswer: q**(83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -81, -149, -259, -405, -581, -781, -999?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231*o = 247*o + 31 - 223. Solve -5*g + 13 = -15*m + 13*m, 5*g = 3*m + o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*u = -200224, -x + 63*u - 58*u = -200184. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34968 = 2150*g - 619*g + 129890 for g.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -3.5\nAnswer: 10.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 141313*h**2 + 48419 with respect to h.\nAnswer: 282626*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*o - 4*w - 2955, -729 = -o - 2*w. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -4*z**4\/3 - 149512*z**3 - 5589505728*z**2 - 69706681985592*z - 1461376734042708 = 0.\nAnswer: -37371, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 287495312 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 7 - 2*k + (2*k + 2*k - 6*k)*(5 - 5 + 3))*(3*k - k - k) in the form o + u*k + a*k**2 and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111001120 (base 3) in base 12?\nAnswer: -5613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011101001100111 (base 2) in base 11?\nAnswer: 134a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s - 10*s - 5*s)*((5 - 1 - 1)*(1 + 1 + 6) + 1 + 0 + 2)*(-1 - 2 + 1) to the form n + r*s and give r.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + -2*sqrt(275)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7 or -5.2?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13798 * -0.3.\nAnswer: 4139.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-45)\/(-144)*(-17)\/(-5) and 41\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 13*q**3\/6 - 3*q. Let o(p) = -525 + p + 1576 - 526 - 525. What is x(o(l))?\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhhlhth. Give prob of picking 1 t, 1 l, and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -5*l**5 + 3*l**4\/2 + 2*l**3\/3 - 29*l**2\/2 - 11. Find the third derivative of r(n) wrt n.\nAnswer: -600*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -656 + 324 + 303*a**2 + 331.\nAnswer: 303*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from ffqzqqzqqfizqzi?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.07744 to 2 dps.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 65\/(-7)) + (-48)\/168. Suppose -5 = 3*y + i, -3*f + 26 = -4*y. Let b be (11735\/15 + 1)\/(f\/12). Round b to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74535 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/2*q**2 + 14\/3*q**3 - 6 + 10*q - 1\/4*q**4. What is the units digit of z(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 195 + -92. What is the remainder when f is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 + 7*x - 13*x + 6*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)*a)**17\/(a\/a**(-6))**(-49) assuming a is positive.\nAnswer: a**309","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 1194*d**2 + 1197*d.\nAnswer: -3*d*(d - 1)*(d + 399)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 8*t**2 - 5278*t + 193678. Calculate n(39).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 7:40 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 333 by 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -584 - 400*t**2 + 195 + 2*t**3 + 195 + 197 to the form d*t + i*t**3 + n + o*t**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - c - 63, 0 = -2*f + c + 2*c + 61. Suppose 0 = 4*d - 3*y - 323, 0 = -4*d - 2*y + 245 + 73. What is the greatest common factor of f and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide ((-2)\/2)\/(14\/(-4634))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a week in minutes?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3885 + 6253. Is 6 a factor of (o\/222)\/(2\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -3245*b + 74715. Give k(23).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 370035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 13 = w. List the prime factors of w.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -35. What is the greatest common divisor of 42 and c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-96)\/(-138))\/(-8) - -127*(-9)\/1932 and (-27)\/8 + 2\/6.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*z + 2*q + 437, 0 = -2*z - 5*q + 169. What is the units digit of (z\/2)\/(3\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = -6. Let o be 15 - 1*(-2 + 1). What is the highest common factor of w and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -28. Suppose a + 2*a + 12 = 0, v*c = -a - 19. Sort 6, 1, c.\nAnswer: c, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of g**9\/21 - 11*g**5\/30 - 7*g**2 - 2. Let p(a) be the second derivative of v(a). Find the third derivative of p(q) wrt q.\nAnswer: 2880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 6*d**2 - 12*d - 39. Determine c(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 31*i**2 + 1. Let g(o) = -2*o**3 - 93*o**2 + 3. Determine 3*g(d) - 8*l(d).\nAnswer: 2*d**3 - 31*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/((-16)\/2))\/(-7).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -113718, -113667, -113524, -113241, -112770, -112063, -111072, -109749?\n\"Answer: 8*z**3 - 2*z**2 + z - 113725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16.08 + -0.0557.\nAnswer: -16.1357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a microsecond in nanoseconds?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**3 + 161*p**2 + 81*p + 297. What is the remainder when 234 is divided by g(-80)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 58) + 6 + -35.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16.6+-28\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2540229091 rounded to the nearest 1000000?\nAnswer: 2540000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**2*c*c*c\/(c\/c**(4\/7)))\/(c**(-1\/2))**17 assuming c is positive.\nAnswer: c**(183\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4416 + 11.\nAnswer: -4405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 3*p + 16. Suppose 0 = -p*c + 17 - 1. Solve -2*y + 0*y - c*k = 10, 7 = -3*y - 4*k for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - d + 32 = 0, 81*d - 27 = -6*l + 76*d. Solve -l*o + 35 - 91 = 0 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 421955119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 44360021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 74.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 4503.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**5\/330 + w**4\/66 - w**3\/11 + 2*w**2 + 29. Determine z, given that g(z) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -66*q**2 - 22*q - 22. Let v(h) = h**2 + h + 1. Suppose 5*j + 57 - 22 = 0, -4*z = 9*j + 67. Calculate z*t(k) - 22*v(k).\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51666 - -51946. Suppose -274 - 1141 = -5*h - 5*g, 0 = -3*h + 4*g + 835. Is h greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -21357475*y. Let z(g) = g**2. What is b(z(l))?\nAnswer: -21357475*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 345*b - 7. Let p be g(-5). What is the common denominator of -75\/56 and p\/280 - (-2 + 26\/10)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/5)\/(11\/(-55)). What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1193, 0 in increasing order.\nAnswer: 0, 4, 1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1352\/(-130))\/(1\/(-30)). Is (-469)\/(-3) - (u\/18)\/13 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14737, -9142, 159, 13148, 29807, 50118, 74063?\nAnswer: 101624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60 (base 9) to base 2.\nAnswer: 110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -85*m**2 - m + 883. Let w(p) = -p**2 + 2*p. Let t(k) = -d(k) - w(k). What is the first derivative of t(f) wrt f?\nAnswer: 172*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 194 and 3.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*i + 95*i + 78*i - 21*i.\nAnswer: 136*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108124?\nAnswer: 2, 27031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 10*o - 75*o in the form k + c*o and give c.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/4 - 27939*m\/2 - 780587721\/4.\nAnswer: -(m + 27939)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 126 (base 11) to base 15\nAnswer: 9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 4*q - 5*q = v - 3*v + 31 + 1, -276*q + 3054 = -3*v for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71728977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88006633255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i = -25*i + 5*c + 8, i - 26 = 5*c for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 183\/(-305) - (1992\/(-20) - -14)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 86\/(-90) - (19845\/46550 + 2\/(-76)) and (178\/(-108))\/(10\/6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3 + 3 - 56*k + 59*k. Let c(r) = -16*r. Give v(c(w)).\nAnswer: -48*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m. Let h(p) be the third derivative of -p**7\/120 + 23*p**4\/12 - p**3\/3 - 114*p**2. Let k(w) be the second derivative of h(w). Determine k(f(j)).\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r - 2*m + 16, -2*r + 2*m = -20. Let v be -4*3*(-3)\/r. Suppose -5*q + 499 + 442 = 4*i, -4*q + 752 = v*i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3116*k - 2534 + 3723 + 3499 = -4660 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 12:15 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/42*7)\/((-4)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34584 - 34565. Calculate the remainder when 398 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 + -1 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13*u**2 - 8*u - 166. Let p(m) = -19*m**2 - 11*m - 165. Determine 3*k(f) - 2*p(f).\nAnswer: -f**2 - 2*f - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from sjznusdsujzuujn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126956 is divided by 10444?\nAnswer: 9448","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12042248316054 from 0.7.\nAnswer: 12042248316054.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -34, -0.2, 4, 0.0356.\nAnswer: -34, -2\/7, -0.2, 0.0356, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5462.39 take away 0.1?\nAnswer: -5462.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of 0*q + 6*q**2 + 0 + 0*q**3 - 3\/40*q**6 + 0*q**4 + 3\/20*q**5. What is the third derivative of o(y) wrt y?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 6*b + 7. Let h be j(-4). Suppose 0 = 15*o - 20*o + h. Suppose -5*v + 2*v - 3*d + 150 = 0, 140 = o*v + 5*d. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 904687.21 - 647386.\nAnswer: 257301.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93711 is divided by 2626.\nAnswer: 1801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14260)\/465 - 44*3\/(-4)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1027097 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -17*t**3 + 1766*t**2 + 208*t + 33. Determine p(104).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from {u: 2, l: 2, v: 4, g: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.49064 millennia to years.\nAnswer: 36490.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 4*i + 96.\nAnswer: -2*(i - 6)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67, 279, 625, 1099, 1695, 2407?\n\"Answer: -r**3 + 73*r**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, -5356, -0.1 in increasing order.\nAnswer: -5356, -0.1, 0, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -19. Suppose -x + 4 = 4*g. Let b be ((-11)\/22)\/(2\/4). Is b equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405723 <= 405828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -10*t**2 + 364*t + 222. Determine b(37).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/176 and 31\/12848?\nAnswer: 12848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148803 = -2884*r + 713*r - 29219 for r.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.4 or 26269?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 187 and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 113650601 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a + 2. Let p be v(-6). Let d(h) = h**3 + 11*h**2 + h - 7. Let s be d(-11). Let x = p + s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 24*v**2 + 5*v. Let z(m) = 23*m**2 + 4*m. Suppose 14 = 2*w + 10, 3*w - 21 = -3*p. Determine p*z(l) - 4*o(l).\nAnswer: 19*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.193 + -39.\nAnswer: -30.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 i, and 1 d when three letters picked without replacement from jdoiioidoododoooii.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.30992 centimeters in nanometers?\nAnswer: 493099200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075.9 times -1.2?\nAnswer: 1291.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 + 179 = -4*k. Let x = 6 - k. Let n = x + -44. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + ((sqrt(243)*-1 + -2)*-6 - (sqrt(1728)*-1 + sqrt(1728) + sqrt(27))\/(-2*sqrt(900) + sqrt(900) + sqrt(9) + sqrt(9))).\nAnswer: 10 + 433*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182 is divided by 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -642*u**3 + 2*u**2 + 19*u + 18. Calculate w(-1).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (969\/(-95))\/17 + (-6)\/60*154?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1372?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-1) - 1 - -4. Let q = 46 - 51. What is the smallest value in q, -2, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 444 = -3*z, -3*r + 10*z - 9*z = -333. Does 3 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1111 + 332023332?\nAnswer: 332031103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/1551 and 163\/1410.\nAnswer: 15510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1399.931 years to centuries.\nAnswer: 13.99931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1090 - 501. List the prime factors of u.\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502 minus 384577178?\nAnswer: -384578680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40a29b (base 12) to base 4.\nAnswer: -3313110113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34642809? (a) -1\/4 (b) 3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*l**3 - 140053*l**2 - 9753884*l - 1298028 = 0. Calculate l.\nAnswer: -69, -2\/15, 9406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttt when four letters picked without replacement from ttttttttmttmttmttm.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 10:11 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d + d - d + 2*d. Let i(q) = q + 5. Let x(m) = -2*m - 9. Let j(n) = 5*i(n) + 3*x(n). Let a(p) = 1. Let l(z) = 2*a(z) + j(z). Determine l(y(o)).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -34\/305, 4, -0.2, 2 in descending order.\nAnswer: 87, 4, 2, -34\/305, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*p**4\/7 - 562826*p**3\/7 + 9527012*p**2\/7 - 23373904*p\/7 + 750976 = 0 for p.\nAnswer: -23468, 1\/4, 8\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epjjppcjcjjdcppbj. Give prob of picking 1 p and 1 c.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -207804, -415605, -623406?\n\"Answer: -207801*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9806120 to the nearest ten thousand.\nAnswer: -9810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.692182 to 1 dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 4. Let t(v) = -v**2 - 14*v - 14. Let l be t(-4). Let r(u) = -4*u + 17. Determine l*b(x) + 6*r(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 13. Suppose -2*s + a*s + 818 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -19. What is the remainder when 83 is divided by 68\/(-6)*(-6)\/20*r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(189)\/(sqrt(9)\/sqrt(3))) + sqrt(63) + sqrt(63) - ((-3 + sqrt(126)\/sqrt(2))**2 + sqrt(63)).\nAnswer: -72 + 21*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.2 - -22.\nAnswer: 26.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 2\/19, -2\/21 in increasing order.\nAnswer: -16, -2, -2\/21, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5989026844?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 839740.\nAnswer: 2, 5, 11, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1.93 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 431 - 35 = -11*a. Sort a, -3, -4, 1 in decreasing order.\nAnswer: 1, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.61*-0.06\nAnswer: -2.0766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*v - 748*v - 46 - 693*v.\nAnswer: -1696*v - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - 0\/(3 + 1). What is the common denominator of -81\/8 and 3997\/(-420) - 4\/x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4, 4*y - 3*w = -4*w + 36. Suppose 5*u - 103 = -q, u = -2*u - 4*q + 72. Calculate the least common multiple of u and 6\/y - 214\/(-10).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/9 - 0 - 20\/(-12). Suppose 0 = 2*d + i, x + 5*d = 6*x - 655. What is the highest common divisor of 52 and x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7594, -15133, -22672?\n\"Answer: -7539*l - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -26. Let v(y) = -y**3 + 11*y**2 + 43*y - 1. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 10*u - 3*u + 20 - 8*u**3 + 4*u**2 - 7*u + u. Let p(j) = -3*j**3 + j**2 - 8*j + 7. Let k(m) = 11*p(m) - 4*y(m). Give k(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.2347182 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 7*m**2 - 28*m + 12. Let f(h) = 7 + 3 - 5 - 5 - h - 2 - h**2. Let z(a) = -6*f(a) - v(a). Let r(u) = u**2. Give z(r(d)).\nAnswer: -d**4 + 34*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48369374?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 213, 289, -113, -0.2, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371549.\nAnswer: 3, 457183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/3 + 1)*1. Suppose -g + 3*f = -14 + 52, -p*f + 38 = -g. Let d = g - -62. What is the remainder when 47 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence px when two letters picked without replacement from ppoxxpopopoxpoo?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7.32 and 584.6.\nAnswer: 4279.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5942.5 - -5943. Which is the closest to 2? (a) 0 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 76*w - 77. Let v be t(6). Let c = -238 + v. Is c a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -15*v**3 + 2*v**2 - 13*v + 13. Let t(l) = -7*l**3 + l**2 - 6*l + 6. Let a(q) = 6*n(q) - 13*t(q). Factor a(m).\nAnswer: m**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 10*b**2 + 5*b - 4. Let i(d) = 93*d + 0 + 9*d**2 - 3 - 89*d. Let v(a) = 5*i(a) - 4*q(a). Find the first derivative of v(l) wrt l.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w**2 + 16*w + 15. Let x be i(-1). Let q(y) = -y + 5. Let j = -8 + 11. Let d(m) = -1. Let f(g) = j*d(g) + q(g). Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-66)\/(-18) - 2\/3. Let g(a) = 0*a - a**2 + a + 1 + 3*a + 2. Determine g(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**9\/432 + 7*g**6\/360 - 5*g**3\/3 - 2. Let y(k) be the third derivative of p(k). Find the third derivative of y(a) wrt a.\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 11:51 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(7 - (-295)\/(-40)). Solve g*r = 4*r + 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 1628?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11326 - 20168*z**2 + 11326 - 20195*z**2 + 40358*z**2 - 3*z + 3*z.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = o + 118 + 33, -o + 80 = i. Does 11 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -0.3, 703, 191809?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.3437 + 0.1097. Let b = -0.234 - u. Are b and -257 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 + 5*t + 38. Let w(d) = 4*d**2 + 9*d + 67. Let g(c) = 7*v(c) - 4*w(c). What is g(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14004857 - 2?\nAnswer: 14004855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 6*m + 9. Let a(b) = 12*b - 119. Let h be a(11). Let r(c) = 3*c + 4. Calculate h*r(o) - 6*u(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2299)*-3)*6.\nAnswer: -198*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 2*j - 1 - j**2 + 2 + 2. Let r be s(0). Let w be (-20 + 32)\/(6 + (-8)\/2). Solve -z = -0*x + x - r, -2*z + 4*x + w = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (5 - 6) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t**2 + t - t**2 - 4*t + 4*t + (t - t + 2*t)*(-4*t - 3*t + 3*t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111\/195593 or -1?\nAnswer: -111\/195593","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 14*x + 955. Is f(61) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 178305207 is divided by 11144075.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 30.7637?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in 0.3, 5\/3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 21*b + 195. Let z be 56\/20*(16 + -6). Let r be j(z). Sort r, -3, -4, 0.\nAnswer: -4, -3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*k + 1954*k = -1939*k - 383496 for k.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/24 + 11*h**5\/40 + 13*h**4\/48 - 7*h**3\/6 - 3*h**2\/2 - 255*h. Solve u(w) = 0 for w.\nAnswer: -3, -2, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -2\/10267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12145.\nAnswer: 5, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) - (0 + sqrt(108))) + -3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 20*a + 529. Let n be d(35). Solve -b + 2*s + 17 - 5 = 0, n*b - 23 = 3*s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113740928.\nAnswer: 2, 7, 126943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (14\/(-16) - 1)\/(31098\/511) and 133\/1278.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:59 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 42\/71, -0.1, 1, -395?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21.2 - 20.736. Let p = -0.7 + q. What is p rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130800 and 13625?\nAnswer: 654000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.144 + -9.544. What is the smallest value in 1, j, -0.042, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 5*r)*(576*r**3 + 1689*r**3 + 1322*r**3 + 1819*r**3)*(2*r + 2*r - 2*r).\nAnswer: -10812*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j. Let c(r) = 40*r**2. Give a(c(b)).\nAnswer: -40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 24. Let v = c + 8. Let p = -0.1 - -0.14. Do v and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -239 or 5347?\nAnswer: 5347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3 + 5. Let o(s) = 81*s**3 - 3*s**2 - 11*s + 3. Let n(j) = -27*j**3 + j**2 + 4*j - 1. Let h(x) = 8*n(x) + 3*o(x). Is h(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 606 is divided by ((-1292)\/(-306))\/(3\/54)?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + 3 + -1 + (1*sqrt(121) + sqrt(121))\/sqrt(11).\nAnswer: 2 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1047 by 2.\nAnswer: -1047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 19 + 9. Let s be 24\/q - 2\/14*-2. What is the third derivative of 10*o**2 + 18*o**s - 3*o**6 + 8*o**2 wrt o?\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9020?\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.075642 + -46.354642. Round o to the nearest integer.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1722 + 7?\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*o + 6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (213\/(-284)*20\/6)\/(15\/(-36))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-7 - -12 - -18)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 - -18. Let t = a + 7.955. Let l = 0.0685 + t. Round l to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 2663946 = -7*k + 17*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61536 divided by 20512?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 908, 896, 868, 818, 740?\nAnswer: 628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 207 = 185. Let p be 14 - (0 + -2 + 2). Let b = v - p. What is the greatest common factor of 5 and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pet when three letters picked without replacement from {p: 10, t: 1, e: 9}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1642.761 and -0.04324.\nAnswer: 1642.71776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 69898799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 44 = -5*l + 195, 5*q = -l + 57. Let z = -234\/5 + l. What is the second smallest value in -0.4, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4. Let w(i) = i + 6. Let a(m) = -3*o(m) - 2*w(m). Let j(y) = 61*y + 27*y - 10*y + 19 - 18. Calculate a(j(v)).\nAnswer: -156*v - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Suppose -2*c + n*c = -4. Solve t = -5*v - 24, c*t - 12 = 5*t for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 - (-3)\/(3\/(-1)). Let z = 32.5 + -33. Let w = -882 + 880. What is the nearest to b in w, z, -15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d + d - 2*d**3 + 0*d**3 + (-1 + 1 + 2*d)*(-11*d**2 - 11*d**2 + 27*d**2).\nAnswer: 8*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30\/11? (a) -57 (b) 7 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/((-2)\/14*84\/42). Calculate the highest common factor of j and 1071.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + r = 0, -19 = 3*r - 13. Let t be (-1 - x)\/(154\/(-22)). Determine d so that t + 0*d**2 + 2\/11*d - 2\/11*d**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4\/4 - 15*h**3\/4 - 165*h**2\/4 - 265*h\/4 - 30 = 0. Calculate h.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m - 11. Let q be t(-6). Suppose 3*x - 53 = 5*b, -2*x + q = b - 26. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 132 = 5*b. Calculate the highest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -2*o + 15, 4*o - 36 = 60*r - 64*r + 8*o for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1463135124?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 52bb2b (base 12) in base 2?\nAnswer: 100111110111010010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 4\/5, -3, -4, 5, 254, -62?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -41481 - -0.046668?\nAnswer: -41480.953332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -145, 165, 509, 905, 1371?\n\"Answer: 3*z**3 - z**2 + 292*z - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 513 - 189. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -10. Let y = w - -10. What is the second biggest value in y, 0.4, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-28))\/(132*68\/7854).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -6) + -21 - (-24 + 19)) + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -1704.7129075.\nAnswer: -1708.7129075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 4*k - 12 = 6, 14 = 5*u + 2*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 231357882?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33282*d**3 - 4976*d**2.\nAnswer: 199692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1205804?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(3 - (-52)\/(-16)). Let u be 0 + (0 - -2) - i. Suppose -u*g + 17 + 13 = 0. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1080 - 1076. What is the nearest to 1\/2 in w, 36, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1285 is divided by 272?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -48. Suppose -15 = -3*k - t*k. Suppose 6*h - k*h = 9. Solve -c + 0*c + h*a - 2 = 0, 5*c = a - 24 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 11*p - 19. Let g be z(1). What are the prime factors of g\/6*(-5 + (-141)\/6)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55688.030018 + 55676.03. Let f = 12 + g. Round f to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 9*c**2 + (0 + c + 0)*(2*c + 2*c - 2*c) - c**2 + c - c)*(51*c**2 + 54 - 54).\nAnswer: -408*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -251*q**2 - 228*q**2 - 1243*q + 1203*q + 2 + 57*q**2 wrt q.\nAnswer: -844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114630 - -160875. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27355, -109289, -245841, -437005, -682775, -983145, -1338109, -1747661?\nAnswer: -2211795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 492618793*n**4 + 710924169 with respect to n.\nAnswer: 1970475172*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from udccsawdw?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 23 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let l(f) = -65 + 28 + 35 - 34*f + 147*f. What is l(g(s))?\nAnswer: 113*s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 16 = 2*d, -4*c + 0*c + 17 = -3*d. Let j(h) = 3*h**2 - h + 1. Let t(g) = -22 - 21 + 40 + 3*g - 10*g**2. What is c*t(r) + 7*j(r)?\nAnswer: r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 19. Suppose 5*u - 21 - 6 = -3*t, 4*t = 2*u + 36. What is the smallest common multiple of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-9))\/(1\/(-24)*-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + 17 + -7 + 21.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7030 and 666?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-5)\/m))\/m)\/m*m\/(m*m\/(m*m*m\/(m**(-4\/9)*m)*m*m*m)) assuming m is positive.\nAnswer: m**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, 4, 0 in ascending order.\nAnswer: -10, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4117231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988599823 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -33*z - 65. Let g be r(-2). Let u(t) = t**3 - t**2 - 2*t. Let p be u(2). Put 5, -5, p, g in ascending order.\nAnswer: -5, p, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 5, z: 2}. What is prob of sequence mm?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 PM and 12:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 28057*b**6 - 3909*b**4 + 444117323*b**2 wrt b?\nAnswer: 3366840*b**3 - 93816*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12.7 - 13. Which is the biggest value? (a) -0.1 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 0*u + 3*u = 2*q + 26, b*q = -2. Is (-4078)\/(-26) + u\/52 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*y - 3 + 3 + 2*y - 5*y + 2*y + (1 - 3 + 1)*(2*y - 4*y + 0*y) - 2*y - 2 + 2 + (-2*y + 1 - 1)*(0 + 1 + 1).\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-135)*3 - 416\/(-30). Find the first derivative of -46 + 59*y - c*y + y wrt y.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1194807, 2389622, 3584461, 4779336, 5974259, 7169242?\nAnswer: 8364297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (920*x**2 - 1536*x**2 + 1194*x**2)*(-4*x**3 + 2*x**3 + x**3).\nAnswer: -578*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2574 (base 11) to base 14.\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5794*((-9428)\/(-220) + 0). Let x = k + -1216898\/5. Let h = x - 4915. Calculate the common denominator of 97\/2 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 y when two letters picked without replacement from {u: 1, z: 1, d: 1, y: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 1652.\nAnswer: -5, -3, 1652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1847*p**2. Let h(r) = -7*r. Calculate m(h(i)).\nAnswer: -90503*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 106380 to the nearest 1000.\nAnswer: 106000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*f + 22*f - 24*f + 286 = 0 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 113 = w, w = -3*k + k + 113. Suppose -16*j = -63 - w. What is the least common multiple of j and 9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 474326081 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - n + 1. Let o(m) = 3 - 1 + 4*m - m**2 - 5. Let d be 4*1\/(-4) + 16. Let w be 18\/d*(1 - 14\/4). Calculate w*u(i) - o(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3104345 + -554471. Suppose k + 2061126 = -3*s. What is s rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13*15\/(-16380)*(-1 + -3)\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 143, 2.\nAnswer: 1, 2, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 430 and 230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -114 + 162. What is the lowest common multiple of 12 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of 7*n**5\/60 + n**4\/24 + 2*n**3\/3 - 6*n**2. Let q be w(-3). What are the prime factors of q\/4 + 0 + -1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/6 + 691*b**4\/3 + 692*b**3 + 2077*b**2\/3 + 1385*b\/6.\nAnswer: -b*(b - 1385)*(b + 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/4 + -7*7\/(-14). Suppose 2*t + z*d - 1464 = -3*t, -4*t + 4*d = -1164. Is 20 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let p(i) = 0*i**r + 1 - i**2 - 10*i + 2*i. Let m be p(-7). What is the greatest common factor of m and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = l + 2*l. Let q be (702\/(-4))\/(2\/(-4)). Suppose 4*c - c = q. Calculate the greatest common divisor of c and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 73 = -3*y, -36 = -3*y + 2*y + 3*l. List the prime factors of y.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(0*f**3 - 43*f**3 + 7*f**3) + f**3 + f**3 - 4*f**3.\nAnswer: 70*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -5*l - 1 + 26, 0 = -4*l. Let s(m) be the third derivative of -m**5\/60 + 5*m**4\/24 + 5*m**3\/6 - 2*m**2. List the prime factors of s(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688834.8 grams in micrograms?\nAnswer: 688834800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18444264*f**2*y - 2*y - 2072007 wrt f.\nAnswer: 36888528*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 34 + 91. Let l = -17 + y. Suppose -3*g = -l*m - 6, g - 5 - 5 = -2*m. Let d(a) = a**3 - 5*a**2 + a + 1. Determine d(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280 and 114688.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 241*i**2 - i - 207 wrt i?\nAnswer: 482*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164144181?\nAnswer: 3, 1129, 48463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -6*h + 13*h. Suppose 2*m + 74 - 52 = h. Sort m, -3, 2 in increasing order.\nAnswer: m, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-260) - (56\/26 + -2). Which is bigger: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 13*h - 29*h to the form b*h + s and give b.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1271*s + 1935*s**2 + 1246*s - 2517*s to the form m + z*s**2 + a*s and give z.\nAnswer: 1935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -56*r + 52. Let z(q) = -555*q + 503. Let x(g) = 111*g - 101. Let y(f) = -11*x(f) - 2*z(f). Let t(d) = -5*v(d) + 3*y(d). Differentiate t(n) wrt n.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 346609845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2763625915 to the power of 1\/4, to the nearest integer?\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 a factor of 2807577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, l: 8}. Give prob of sequence lll.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3\/5)\/c)**30\/(c**(-1\/10)*c**(2\/29)\/c))**(4\/3) assuming c is positive.\nAnswer: c**(-9842\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 9. Suppose 117 = 5*o - 2*o. Let m(z) = 9 - 50*z + 98*z - o*z + z**2 - 2. Determine m(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125308?\nAnswer: 2, 31327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 132563298 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -212838 + 121438. Round y to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-15)\/i**6*i**(3\/7)\/(i\/(i**(1\/8)*i)*i*i) assuming i is positive.\nAnswer: i**(-1257\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 b when three letters picked without replacement from {s: 2, b: 2, d: 1, g: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1 - 1)\/1. Let w be (a - (7 + 1))\/(-1). Calculate the highest common divisor of w and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 + 0 - 5*k**3 - 3 + 8*k + 5*k**3 to the form w + d*k**3 + u*k + y*k**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1053292 and 9\/8?\nAnswer: 2106584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 530 = -102. Calculate the remainder when p is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -28*l**2 - 7*l - 7. Let r(w) = -w**2 - w - 1. What is d(t) - 7*r(t)?\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40978049?\nAnswer: 7, 2153, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96131.98mm to centimeters.\nAnswer: 9613.198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 23*y - 112. Let k be b(-7). Let p = -40453\/45 - -899. Which is bigger: p or k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = f + 155. Suppose -2*j + 6*j + l + 48 = 0, 3*j + 2*l = -f. Let c = j - -45. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and 560.\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111000 (base 2) in base 14?\nAnswer: 13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 r when two letters picked without replacement from {i: 5, s: 1, r: 2, g: 1, l: 5, y: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, -8, -9, -10, -11, -12?\n\"Answer: -k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30877 = 33*f - 62975. Does 52 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.68 - 0.02. Let p = 13.7142 + k. Round p to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**6\/360 + y**3 - 2. Let w(p) be the third derivative of u(p). Solve w(t) = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/30 and 131\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -135 + -5 + (-20 - (4 - 9 - 7)) - -5.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 2\/9 (c) 4 (d) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = w - 4108 - 37, -20805 = -5*w - 5*r. What are the prime factors of w?\nAnswer: 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 > 66\/906481?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.739, -0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in -8\/3, -10.9, -8, -0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*r = 90. Suppose 4*j - 8 = 0, 0 = -4*w + 5*j + 5 - r. What is the second derivative of -6*i + w*i**4 - 8*i**4 + i**4 wrt i?\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h. Let r(w) = -w**3 + 5*w - 6. Let x(i) = -5*n(i) + r(i). Let s be ((-10)\/(-4))\/(2\/4). What is x(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -2*l - 17*l + 46. Solve -4*a - 20 = -l*k, -2 = -2*a - 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**3\/3 - u**2\/2 + 14*u - 7. Let g be a(0). Calculate the highest common factor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 2244.\nAnswer: 2243.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.5, -4, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 614?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -95*m**3\/6 - 22*m. Let w(q) = -6*q - 5*q + 13*q. Calculate w(y(l)).\nAnswer: -190*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrphhrexrlerxhrr. What is prob of sequence ph?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3313 + 51?\nAnswer: -3222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-405))\/(2\/18).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c - 3. Let z = 8 + -5. Let i(o) = o**3 + 2*o**2 - o. Let s be i(1). Let k(d) = -d + 3 - 2 + 1. Calculate s*j(m) + z*k(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141749?\nAnswer: 2141749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10132010 - -113330201?\nAnswer: 130122211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*-1*2\/4*-2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 5643?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, a: 1, d: 4, p: 5, l: 3}. Give prob of sequence yaa.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 41292413?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 41*v**2 - 5*v + 343. Let w be h(41). Let i be (-2758)\/(-8) + 1\/4. What is the highest common factor of w and i?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 5*x - 2. Let v be l(-1). Let f be (1 - (-1)\/1)*(-7)\/v. Is f less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 650, 1284, 1906, 2510, 3090, 3640, 4154?\n\"Answer: -n**3 + 641*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r + 2025 = 860 + 2310 + 3847 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, -9*y = -5*y + 3*m - 4. Solve 0 = 2*q - 3*u - y, 2*u + 0*u = -2*q - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(2 + 3\/4). Suppose 4*a + f = 5*a. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -2 + -18 + (3 - -2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 7*y**2 - 9*y - 3. Let o be g(-8). Let b(i) = 2*i - 1. Suppose 2*f - 4 = 2. Let j(x) = -4*x + 2. Calculate f*j(z) + o*b(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -1)*(-10)\/(-20). Is s less than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364 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: List the prime factors of 4024183645.\nAnswer: 5, 17, 47343337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 14*p + 162 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j**2 + 2*j - 2*j)*(1 + 13*j - 1) + j + 2*j**3 - j + 7*j**3 - 3*j**3 - 3*j**3 in the form i*j + l + f*j**2 + q*j**3 and give q.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/8)*x*x\/x**(-1\/12)*x*x*x*(x**(1\/4))**37)**(-15\/7) assuming x is positive.\nAnswer: x**(-1705\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 247 = 91. Let p be (-1)\/3 + s\/(-9). Suppose -5*b - 15 = -4*l, -p*l = b - 3*b - 6. Solve n - 2 + 3 = l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -18. Suppose 0 = d*q, -t - 14 = -4*q - 51. What are the prime factors of t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1368196940 a multiple of 2379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017055 rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6048) - (sqrt(6048) + sqrt(6048)*-2))*4)\/((sqrt(360)\/(sqrt(24)\/sqrt(2)))\/sqrt(5))*4)**2.\nAnswer: 1032192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 7, -940910 in decreasing order.\nAnswer: 7, 4, 3, -940910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17636936 divided by -11588.\nAnswer: -1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4714 - -7?\nAnswer: -470d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 249.76.\nAnswer: 249.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2294000 to the nearest 10000.\nAnswer: 2290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 40*u**2 + 175*u + 285. Calculate f(-35).\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69 + 109 = -3*k + l, l = -2 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(20\/(-6)) - 0\/6. What is the fourth biggest value in s, -1\/2, -1, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*t + t - 54, 0 = 2*t + 3*f - 36. What is the smallest common multiple of t and 23 + (5 - 11) + 3?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 25, 56, 101, 166, 257, 380, 541?\n\"Answer: z**3 + z**2 + 21*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 9*t**2 + 6*t - 11. Let y be b(-8). Suppose 0 = q - 5*o + y, 0 = -q + 2*o + o + 3. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 119 = -2*p, -3*p = 5*n + 563 - 647. Solve -4031*b = -4024*b + n for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40.26 + 4.112. What is p rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -22, -40, -76, -136?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + b - b)*(2*b - b + b) - 4 + 2*b**2 + 4 + 1 + 2*b**2 - 1 - 4*b**2 - b**2 + 4*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-7)*(f*f**16\/f)\/f*f*(f**(-1\/20))**(-21) assuming f is positive.\nAnswer: f**(201\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 AM and 12:11 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*q + 2*u + 20 = 0, 60 = 4*q + u. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1102)\/(-158) + -124 + 117 + -5 + 5?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-636)\/126 - -5)*2.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 24*k**3 + 2*k**2 - 2*k - 2. What is the units digit of p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, d: 19}. What is prob of picking 4 d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000022619752 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s = -s - 4*o - 16, -s + 91735 = -4*o + 91719 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -65 and -130.\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(75) - sqrt(75)) + 1 - sqrt(75))**2.\nAnswer: -40*sqrt(3) + 1201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -126, 9\/2, -1.1, -3\/5.\nAnswer: -126, -1.1, -3\/5, -0.1, 9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.91 to 0 decimal places.\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1904?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-9)\/(54\/(-4326)) - 9?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-100)\/(-1) - (99 - 89) is divided by 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 7:33 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/32 and -151\/240.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1804\/82*16\/(-22).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - 2*w**3 - 3*w + 13*w - 8*w + w**2. Let m be l(-3). What is the remainder when (1*2)\/((-16)\/m) - -16 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1440)\/36)\/40 + 3*(-129)\/9.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f - 5. Let b(v) be the first derivative of -7*v**3\/3 + 251. Give b(t(c)).\nAnswer: -252*c**2 - 420*c - 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-20)*3)\/((-80)\/(-25))?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + n + 2. Let y(b) = -b - 2. What is the remainder when y(-13) is divided by i(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - -22 - 150\/(-125)*170\/(-4)?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569065 to the power of 1\/3, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 14 + 5 - 4. Calculate the remainder when d(10) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, -25480.4, 0.24, 3?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*t**2 - 12*t**2 + 0*t**3 + 215*t**4 + 113*t + 0*t**3 - 110*t in the form g*t**3 + x + r*t**2 + n*t + y*t**4 and give y.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3050740495?\nAnswer: 5, 11, 271, 204679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1999 - 353822\/177. Which is the nearest to n? (a) -0.2 (b) 3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 272602, 545199, 817796, 1090393?\nAnswer: 1362990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3076\/111505*(-145)\/(-50).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.19, 1495, -0.0268, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7349297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 365130 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -224.79365 to 1 decimal place.\nAnswer: -224.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 0.3, -6 in increasing order.\nAnswer: -8, -6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/27 in -5, 0.1, -0.4, -42?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-3)*5)\/1. Suppose -o*q + 50 = -0*q. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*d + 774 + 322 - 2273 = 2841 for d.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110370*v + 110389*v = -304 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.2294 micrometers in kilometers?\nAnswer: 0.0000004312294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 - 187 = -81*i + 114 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 51*a + 1181. Determine k(-22).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2546 divided by -1.\nAnswer: -2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6*c**2 - 4*c. Let d(f) = -7*f**2 - 5*f. Let k = -103 - -108. Let x(s) = k*w(s) - 4*d(s). Let j(g) = 77*g. Calculate j(x(o)).\nAnswer: -154*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-3) - 98\/(-21). Let u be ((-2)\/2)\/(h\/(-12)). Suppose -k + u = -8. What are the prime factors of k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 240 - 237 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4456 by -317.\nAnswer: 4456\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 q when three letters picked without replacement from vqqerrqvvzzsvrserz?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, -1, 0, 1.2, -910, 1 in decreasing order.\nAnswer: 4, 1.2, 1, 0, -1, -2, -910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 120. Calculate the greatest common divisor of a and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3057.8 + 3058. What is the closest to 0 in 0.4, -0.5, -30, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1361, -1371, -1383, -1397, -1413, -1431, -1451?\nAnswer: -1473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 278297 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-33) + (-14301)\/(-4158))*(-120)\/(-4)?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 8:30 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -237 - -242. Suppose -185 = b*t - 1080. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 260323726*m**3 - 2*m - 129338 wrt m.\nAnswer: 1561942356*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + s**2 + s + 1. Let f(u) = -u + 8. Let d be f(7). Let v(p) = -4*p**3 - 11*p**2 - 12*p + 5. Let c(o) = d*v(o) + 3*a(o). Is 22 a factor of c(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 6*f**3 + 6*f**3 - 22 - 15*f**3 - 2*f**2 to b*f + v + i*f**2 + m*f**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201803481?\nAnswer: 3, 11, 17, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -43*n**2 + 55*n**2 + 7*n - 3*n = 0. Calculate n.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w + 48. Let v be h(11). Suppose -7*s + 6*s = -v. Solve s*j = 4*u - 3*u - 16, 5*j = 5*u - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 8396, 15487, 22572, 29645, 36700, 43731?\n\"Answer: -d**3 + 3*d**2 + 7089*d + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 7*r - 2*r + 0*r - 2*r. Let a(l) be the third derivative of -l**6\/36 + 5*l**3\/6 + 5*l**2. Let g(x) be the first derivative of a(x). Determine h(g(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -1. Let y(f) = f**3 - 9*f**2 - 20*f - 27. Let r be y(11). Sort 5, d, r, -2 in descending order.\nAnswer: 5, -2, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 115826 = 21*p - 2*p. Is p a multiple of 154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*h**4 - 600*h**2 + 234*h**6 + 17*h**4 - 18*h**4 + 21*h**4 wrt h?\nAnswer: 28080*h**3 - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2277, 9114, 20513, 36480, 57021, 82142, 111849?\n\"Answer: m**3 + 2275*m**2 + 5*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 90 - 54. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/11494 and -79\/14778.\nAnswer: 103446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -54 (base 11) to base 3\nAnswer: -2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526418.9t to milligrams.\nAnswer: 526418900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n - 44. Let h(t) = 6*t - 43. Let r(p) = 3*h(p) - 4*q(p). Let v be r(27). Let y(o) = -o - 11. Calculate y(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 4*k**3 - k. Let w(u) = u**3 + 13*u**2 + 9*u - 37. Let x be w(-12). Determine v(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1384 and 1726.\nAnswer: 1194392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by 89044.\nAnswer: -49\/89044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32.1 + 32.2. What is the closest to -1\/3 in -0.5, r, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4427 and -0.4.\nAnswer: 1770.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5*y - 3*y + 18 = 0, -2*x = -4*y + 60. Let r be ((-9)\/(-27))\/((-1)\/x). What is the greatest common divisor of 2 and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: eb54ed (base 15) to base 14\nAnswer: 16b9c15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1965147 in 0.1, -3, 0.5, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n. Let r(s) be the first derivative of -s**2 + 90. Give r(z(u)).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(242)*2 - (4 + sqrt(128) + (sqrt(128) + -1 - sqrt(128)) + sqrt(128)))**2.\nAnswer: -12*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86718 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 832.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211184 is divided by 855?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 334, 348, 378, 430, 510, 624, 778?\nAnswer: 978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j**2 - 32*j + 6. What is v(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 7831019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**29\/i)\/(i*i**(-16)) assuming i is positive.\nAnswer: i**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6757, -28984, -66675, -119830, -188449, -272532?\n\"Answer: -7732*t**2 + 969*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(-3)*r*r)*r))**(9\/4)\/((r\/((r**(-4)*r)\/r)*r)\/r)**(12\/7))**(-23) assuming r is positive.\nAnswer: r**(6969\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a year in months?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/21 + (-4)\/12. Let o = 2.5 - 2.06. Let x = o - -0.46. What is the smallest value in x, r, 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1776 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 245005174 a multiple of 2247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4072 + -85534\/21. Let g = q - -17\/14. Let -2\/3*j**3 + 2\/3*j - 1\/2*j**2 + 2\/3 - g*j**4 = 0. What is j?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + (0 + sqrt(1088) - sqrt(1088))*-6 - (0 + sqrt(1088))*5)**2 + -3 + 0)*-3*-4*-6.\nAnswer: -1253160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.522 times 11?\nAnswer: 775.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 b when four letters picked without replacement from {b: 2, t: 11}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 k when three letters picked without replacement from sikiikikki?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 - 33. Let t(g) = -2*g + 0*g + d*g + 7 - g. Give t(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -940 or -868?\nAnswer: -868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12296988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10276170 by 3.\nAnswer: 3425390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 - 5 + (3 - 2 - 3)*(-1 + 3 + 0))*(-3*r - 3*r + 4*r - 5*r + r + 5*r + (1 - 1 - 3)*(3*r + 0*r - r)) - 3*r + 2*r + 2*r as p*r + s and give p.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x**2 - 7*x - 7. Let a = 39 - 37. Let p(n) = n**2 - n - 1. Calculate a*b(v) - 14*p(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 861*v**3 - 11*v + 29 - 867*v**3 + 4*v + 6*v in the form d*v**3 + g*v + z + t*v**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/10 and 31\/33.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 6 = -88*b + 87*b, 2*b + 4 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in 171693, -0.4, 1, 7, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 9592279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 5\/3 (c) 3\/4 (d) -125\/36 (e) -1\/6 (f) 2\/73\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 254.9005225 + -254.9. Round t to five decimal places.\nAnswer: 0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 66\/(-3) - 3175736\/(-144381). Suppose -4*f + 4*x = 4, 0 = -f + 2*f + 4*x - 4. Is o greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16953*d + 6950 with respect to d.\nAnswer: 16953","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13269*s - 26880 = -13077*s for s.\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1540178 or -1540176?\nAnswer: -1540178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*y + 494, 1554 - 20 = 3*t + 2*y. Is 28 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 + 16*g**2 + 17*g**3 - 32*g**3 - 16*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Let o(w) = -w**3 + w**2 + 20*w + 31. Let c be o(-2). Calculate the greatest common divisor of y and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.1282199us?\nAnswer: 0.0001282199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 153*p + 1695 = 64*p, 55*i - 33 = 60*i + 2*p for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/40*6 - (-51566)\/380. Solve -88*x + g = -20*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -3, -7, -30 in descending order.\nAnswer: 19, -3, -7, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194925.\nAnswer: 3, 5, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 + 203*b**3 - 126*b**3 - 116*b**3 - 3*b**2.\nAnswer: -39*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.46 - -0.16. Let u = -0.04 - -6.04. Sort w, u, 5 in decreasing order.\nAnswer: u, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 27925171 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38*h**3 + 173*h**3 - 78*h**3 + 59*h**2 wrt h?\nAnswer: 342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -624420295174?\nAnswer: -624420295174.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82392590?\nAnswer: 2, 5, 7, 1177037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in centimeters?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0102289 rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2496 + 42434\/17. Which is the nearest to k? (a) -0.5 (b) 45 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 5*j + 0*j)*(-1 - 2 - 2 - 3 + 0 + 5 + (1 - 2 + 2)*(1 - 3 + 4) - 1 - 5 + 4 + 2 - 6 + 3 + (3 - 5 + 4 + (-3 + 5 - 3)*(2 + 2 - 3))*(-25 - 14 - 43)).\nAnswer: 172*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23 take away 1323897?\nAnswer: -1323896.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 33. Calculate the lowest common multiple of i(17) and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10237 take away -1?\nAnswer: 10238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7122.\nAnswer: 2, 3, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*b + 84 = -669*b for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4117*l - 4106*l - 297 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-105)\/(-20)*(2 + 2). Calculate the greatest common divisor of q and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 5*y + 75, 2*x + 2696 = -0*y + y + 2708 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*c + 1 - 1)*(17*c**2 - 294 + 294) to n*c**2 + t*c + j + u*c**3 and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*k - 12, -k + 1046 = -3*l. Let t = l - -510. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -585\nAnswer: -4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 8*r**2 + 70*r + 6. What is a(-7)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 357?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23976\/5 + 4795. What is the third smallest value in -0.1, 2.33, o?\nAnswer: 2.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 102301374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5a - -16d0?\nAnswer: 172a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8534 = -2*x - d, -2*x + 8534 = -d. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(13\/((-52)\/(-10))). Put n, 31, -1, 5 in decreasing order.\nAnswer: 31, 5, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 smaller than 143\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/3)\/12*2\/(-11)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-3)\/(-9))\/7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuufuffmuufffdffuf. What is prob of picking 1 d, 1 f, and 1 m?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12370456?\nAnswer: 2, 7, 220901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 736 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 1:38 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3158532 and 95472?\nAnswer: 37902384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-19) - (-18 - -14)*(-291)\/228. Which is the second biggest value? (a) 5 (b) -6\/349 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 14*c**2 - 2*c**3 - 12*c**2 - 6*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**8\/1680 + b**6\/36 + 4*b**3 - 11. Let h(y) be the third derivative of r(y). What is the third derivative of h(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 495 divided by -9.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 22*i - 9879. What is r(111)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 9749*w + 488*w.\nAnswer: 10237*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3180 divided by -4\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Let u(y) = -1227152*y + 2. Calculate u(x(z)).\nAnswer: -6135760*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1782477 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11113 (base 6) to base 14\nAnswer: 7d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 3, 39, -6, -4, 0 in increasing order.\nAnswer: -81, -6, -4, 0, 3, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 9938217?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjuu when four letters picked without replacement from juuuudpuu?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 17953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -679.42 rounded to the nearest ten?\nAnswer: -680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 32\/(-3) + 1\/(-3). Let a = k - -22. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*o - 5*o + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 56. Suppose n + n = -5*u - 19, k*u + 17 = -n. Solve -2*h + n = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (4 + -7 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 6*j - 5. Give c(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -1441*f + 8. Let c(p) = 6*p**2. Give l(c(z)).\nAnswer: -8646*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - (2 + (0 - 1)). Let r be o\/(-2) - 2\/4. What are the prime factors of -10*r\/(4\/(-6))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3d (base 16) to base 14\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-20)\/(-8)*(1 + -3). Let s(n) = -n**2 - 3*n + 5. Let h be s(r). Let j = -1 - h. Solve 0 = -f + j*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9000529517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 19136952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -5*v**3\/6 - v**2\/2 + v. Let j = -6 - -8. Suppose 0 = -4*l - 6 + j. What is m(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tto when three letters picked without replacement from ooooooooooooooootot?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 6*z + z - 4*z + 4*z - 2*z + (2*z - 6*z + 3*z)*(0 + 3 - 4) + 4*z - 4*z + 5*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1375829, 2751102, 4125829, 5500016, 6873669?\nAnswer: 8246794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1024*y + 1031*y. Solve 0*p = -y*p - 10*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence txe when three letters picked without replacement from {a: 1, f: 1, t: 2, e: 2, x: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 - -9. Let n = 12 - 17. Let z be (-2)\/15 - n\/(-25). Which is the second smallest value? (a) h (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-10) - 3\/(-6). Let t = 1 - -2. Which is the smallest value? (a) 0 (b) j (c) -2\/3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232201303131 (base 4) in base 16?\nAnswer: ba1cdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.73, -2\/11, -0.4, -0.27 in decreasing order.\nAnswer: -2\/11, -0.27, -0.4, -0.73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*v**2 + 31*v**2 - 26*v**2 to z*v**2 + a*v + b and give z.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0666 + 0.2666. Which is the closest to r? (a) 0.2 (b) 2\/3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-8) - 225\/270)\/((-1)\/27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -1)\/((8*11\/(-308))\/((-36)\/42)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 4*m**2 - 4366*m**3 + 1623*m**3.\nAnswer: -2743*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277264.7us in days?\nAnswer: 0.00001478315625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)\/(sqrt(45)\/sqrt(5)) - sqrt(60))\/(sqrt(12) + (3*sqrt(972) - sqrt(972) - sqrt(972))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70404756 is divided by 2746.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 4*r + 12*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/(sqrt(4) - 4*sqrt(4)*1))**2 + (4*(sqrt(7) - (2*sqrt(448) - sqrt(448))))**2)*-5.\nAnswer: -246995\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 - 8. Calculate the highest common factor of t and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2490635 is divided by 1142.\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k**2 + 4*k. Let z(m) = 11*m**2 + 7*m. Let n(g) = -7*l(g) + 4*z(g). Let p(s) = 39*s**2. What is n(p(j))?\nAnswer: 24336*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-173)\/((-1717544)\/(-1657840)) + 167?\nAnswer: 1\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9301853 times -7?\nAnswer: -6.5112971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.912 - 0.088. Let a = d + 11. What is the second smallest value in 0.1, 0.4, 2\/3, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5047 is divided by 209.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -287 + -4?\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 2*u + 114. Let g = -89 + u. Solve -i = 2*i + g for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u - 15. Give m(-19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22188782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 18704, 23518, 28332, 33146, 37960, 42774?\n\"Answer: 4814*p + 13890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**3 + 129*t**2 + 53652*t - 1537536 = 0 for t.\nAnswer: -128, 28, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3*-1*sqrt(228) + (2*sqrt(228) + sqrt(228))*2)\/((-2*sqrt(96))\/sqrt(8)*3).\nAnswer: -3*sqrt(19)\/2 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47460 by -42.\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 372, 1498, 3378, 6012, 9400, 13542?\n\"Answer: 377*n**2 - 5*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 6942 and 0.463.\nAnswer: 6942.463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:04 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 25, 31, 39, 49, 61, 75?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*j - 105 = 0, 3*j = 8*v - 9*v + 32. Let g be (-2)\/v + 4794\/45662. Which is bigger: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -268 + 271. What is the least common multiple of d and 333?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2162275)\/(-60))\/(21\/(-12)). Let l = v + 20597. Calculate the common denominator of l and (-460)\/(-75) + -3 - 5.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18270 and 392370?\nAnswer: 8239770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16821075*i**3 - 3932255*i**2 + 1.\nAnswer: 100926450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 151 - 317 - 12*v + 72. Calculate y(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l + 1554 - 8682 = 0. Calculate the smallest common multiple of l and 12.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.8 + 9. Let p = -5.2 + o. What is the nearest to 2\/7 in p, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f + 91 = -4*p, -2*f + 52*p - 51*p + 9 = -7*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 3*t + 13. Let f(h) = 3*h**2 - 2*h + 12. Let z(y) = 3*f(y) - 2*v(y). Is z(-9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2504786?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 340105013951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89 by 1.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -61?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (146783\/1890)\/13 + (-50)\/(-500)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2 (b) -15\/1076 (c) 3\/4 (d) 3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*w + 24*w**3 + 481*w**3 - 161*w**3.\nAnswer: 344*w**3 - 19*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2733819266?\nAnswer: 2, 17, 80406449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252430 = -5*m + 5*o, -3746 = 2*m + o - 104721. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14 + 4 + 7 + l. Let f be w(0). Is (-293)\/f - 8\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37070 less than -37158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-4))\/(((-156)\/8)\/(-13)). Let j(x) = 1 + 2*x**2 + 3*x - 4*x + 1. Let s be j(-3). Solve -3*k + q - 6*q = s, 2*k - q - l = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 8, w: 7, t: 5}. Give prob of picking 1 t and 1 r.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.4 (c) 18 (d) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 80 (b) 4 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -349585439 - -0.06.\nAnswer: -349585438.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1237.03 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 68339917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276 - 276 + 15*a + 552.\nAnswer: 15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2)\/y)**37)**3\/((y\/y**(-1))**(21\/2)\/(((y\/(y*y**(1\/6)))\/y)\/y**3)) assuming y is positive.\nAnswer: y**(-1483\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand s**2 - s**2 - 2*s**3 + (-2*s**2 + s**2 + 0*s**2)*(1 - 1 + 2*s) - s**3 + 2*s**3 + 2*s**3.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 + 137 - 283 - 463*j)*(3 - 1 - 3).\nAnswer: 463*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 20, -4*r + 890 = -5*h + 2*h. Let s = 1177 + h. Is s a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, w: 7}. What is prob of picking 1 b and 1 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*m + 35*m = 4. Let a(w) = 2*w + 2. Give a(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6302.7 - -6302. Put 3\/2, 2\/15, -1, 5, w in descending order.\nAnswer: 5, 3\/2, 2\/15, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(3*o**2 - o**2 - o**2) + (2*o**2 - o**2 + 4*o**2)*(3 - 6 + 1).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2004 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336 a factor of 608936800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/((-3744)\/(-128))*2*117\/(-24)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11118 + 11141. What is the remainder when 38 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-17)\/(-4) + -1 + 1\/(-4). Suppose 5*y - 50 = -4*j + 150, t*y = 4*j + 120. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 34. Suppose 2 = -y + 3. What is the highest common divisor of y and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5011.233 months to centuries.\nAnswer: 4.1760275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 8:03 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35773.\nAnswer: 83, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1379 - -1379. What is the nearest to -89 in a, 0.4, 1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z + 7. Let n be j(6). Let y = n - -9. Calculate the lowest common multiple of 4 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -384099, -384032, -383853, -383508, -382943, -382104, -380937, -379388?\nAnswer: -377403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnwnnnnnnw. Give prob of picking 3 n and 1 w.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-14)\/175)\/((-6)\/(-30))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18323 = 38*q - 383161. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243, -243, -245, -249?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13458?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 46*c + 2. Let k(m) = m. Suppose -63*z + 16 - 163 = 84*z. Determine z*u(r) - 5*k(r).\nAnswer: -51*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -3*d + 5*v, 2*v = -3*d + 3*v + 238. Let g = d - 49. What is the remainder when 117 is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -271.\nAnswer: -81.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42182 and 4885384.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -532*f**4 - 106*f**2 - 3*f wrt f.\nAnswer: -12768*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 301532 and 107690.\nAnswer: 1507660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0742972 - 0.0745. What is x rounded to 5 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = -4*f - 8, -22 = 4*f - 2*j for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(245) + 0 + sqrt(245) + -2)**2.\nAnswer: -28*sqrt(5) + 981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 462 - 479. Put -0.5, 0, n, 2 in increasing order.\nAnswer: n, -0.5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 5*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(3\/(-12) - 0). Let y = x + 51. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 698276373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -0.2. Let d = -50 - -47. Let b = d - -3.04. What is the biggest value in b, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-79494)\/30 - (-2)\/(-10). What is j rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 22*y - 30. What is q(18)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 7*h = 15*b - 107, -5*b + 6*h + 57 = -0*h + 2*h for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -s - 28, 15*i - 16*i - 7 = 4*s for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -8, -51\/4, -1, 2.1, 0.5 in decreasing order.\nAnswer: 2.1, 0.5, -1, -8, -51\/4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -721408*h**2 + 721*h + 125.\nAnswer: -1442816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 1. Suppose 3*a = -t - 2, -3*a = 10 - k. What is the first derivative of -3*d**4 - 1 + 0*d**t + 3*d**4 - d**4 wrt d?\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ec64 (base 15) to base 2.\nAnswer: 1100001101111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5 - 6 - 886880*g**2.\nAnswer: -886880*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 88771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 8 = 28. Suppose -4*k - 14 = 2*d + 74, -5*d = x*k + 250. Let o be d\/4*(-2)\/3. What is the greatest common divisor of o and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/371447151 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 8:51 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -353 + 162. Let n = 193 + i. What is the closest to -14 in -1\/9, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/sqrt(36))**2 + (-1 + sqrt(11) + -4)**2.\nAnswer: -10*sqrt(11) + 155\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00029704 rounded to five dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/176 and -57\/484.\nAnswer: 1936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 2*n**2 + 205. Let o be s(0). Let r = o - 187. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*(-33)\/2. Let b = i + 11. Factor 0*x**4 - 2\/5*x**5 + b + 0*x**2 + 4\/5*x**3 - 2\/5*x.\nAnswer: -2*x*(x - 1)**2*(x + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 16. Let k = -69.116 - -0.116. Let x = -67 - k. Which is the second smallest value? (a) 0.4 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x + 2*x + 6*x**2 - 2 - x**3 + 3*x. Let s be q(6). Suppose 0 = y - 3 - 0, 0 = a - s*y - 2. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, -7, 1 in descending order.\nAnswer: 5, 1, 0, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 7*b - 4. Let o be q(-6). Let u(c) = -c**2 + 1. Determine u(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1062 and 1343541510.\nAnswer: 1062","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 9*d + 5. Let n be j(9). Suppose f - 10 + n = 0. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from szzyzysysssys. Give prob of sequence zs.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000089145 to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 3. Let o be m(-2). Let g(h) = h**2 + 6*h - 7. Let k be g(o). Suppose k = -t + 5*t. What is the greatest common divisor of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4418827.\nAnswer: 7, 17, 71, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 205424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = f - 4*f. Suppose -5*x + 13 = h, 0 = -4*x - 4*h + 9 + 11. Let g = x + f. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1065*k - 26064 - 17582 + 13826 = 0 for k.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 7:10 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 339247001?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*n + 20 = 25*n. Suppose 5*y + 100 = 410. Let d = y - 42. What is the greatest common divisor of n and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 4 (b) -0.1 (c) 1\/9 (d) -0.2 (e) 407\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (56\/(-10) + 2)*20. Let q = 166 + n. Let z = q + -55. Calculate the greatest common factor of z and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2*z - 36, -2*v - 20 = -3054*z + 3066*z for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1233 = 470. Suppose -q + o = -957. List the prime factors of ((-3)\/2)\/((-57)\/q).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92936156 to the power of 1\/2, to the nearest integer?\nAnswer: 9640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/56 - 497\/(-4)) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 370063510128.7.\nAnswer: 370063510130.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3\/8, 2\/19, 5 in ascending order.\nAnswer: -0.2, 2\/19, 3\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v. Let i(x) = -1 + x - 6*x - 7*x - 13*x + 24*x. Suppose 2*t - 2 = 4. Suppose -2*o = -t*o + 4. Give o*q(w) + 3*i(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(228)*-6 + (sqrt(228) - -3*-1*sqrt(228)))\/((-6*((2*sqrt(72) - sqrt(72)) + sqrt(72)))\/sqrt(6)*-2).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8309.9 less than 110233431?\nAnswer: 110225121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 3*u**2 - 252*u - 255 = 0.\nAnswer: -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 52, 54, 56, 58?\n\"Answer: 2*g + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 81\/2 of a year?\nAnswer: 486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-125)\/(-25) - -1*(-5 - -1). Solve 4*a + m = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -38*p**3 + 21*p**2 + 15*p + 17. Let b = 192 + -200. Is w(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 4*q**2 - 5*q - 5. Let a = -57 - -127. Let s be (4\/5)\/(7\/a). Is k(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106504 - 91170 = 34*v. Solve 6*j + 415 - v = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1200*n - 3540*n + 5928*n - 1198*n.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07775 - 22?\nAnswer: -22.07775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64352?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 19 - 2*w**3 + 18 + 19.\nAnswer: -2*w**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 4:26 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 13*z**2 + 23*z - 6. Let k be o(14). Calculate the highest common factor of k and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aff when three letters picked without replacement from {a: 1, f: 4, h: 5}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -338377 and -7?\nAnswer: 2368639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3186 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48624, 97256, 145888, 194520, 243152, 291784?\nAnswer: 340416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 18.2. Put r, 0.4, 4, -2 in decreasing order.\nAnswer: 4, 0.4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**5\/3 - 21646*p**4\/3 - 115384*p**3 - 1557488*p**2\/3 - 2768720*p\/3 - 576800 = 0.\nAnswer: -21630, -10, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -723, -4, 2\/7, 0.1, -1 in ascending order.\nAnswer: -723, -4, -1, 0.1, 2\/7, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftto when four letters picked without replacement from otnttfonontooooooooo?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 342 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 687 divided by 7\nAnswer: 687\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -1270 + 496. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 10, o: 4, n: 5}. Give prob of sequence ondo.\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0.3237 (b) -126 (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4932 + -5001. Sort f, 5, 2, -5, -3 in decreasing order.\nAnswer: 5, 2, -3, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 2*y + y - 183760*y**2 + 182561*y**2.\nAnswer: -1199*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26479.\nAnswer: 26479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**3 - 5*f**2 - 5*f. Let x = -27 + 19. Let j(n) = -11*n**3 - 8*n**2 - 8*n. Give x*m(v) + 5*j(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 8:49 PM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -9*y + 9. Find the third derivative of b**2 + 4*b**y - 6*b**2 + b**2 - b**3 wrt b.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 0*v + 1\/210*v**5 + 1\/84*v**4 + 0 + 3*v**2 - 2\/21*v**3. Factor u(s).\nAnswer: 2*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 176 divide 80357024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*j + 153*j = 78. Solve j = 10*a + 33 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1050\nAnswer: 4200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:26 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j - 3*k + 10 = 0, -5*j = 5*k - 15. Let s be -3 + 3 - j\/(-1). Suppose 3*i = 5*c - 8, i + 2*c - 3*c + 2 = 0. Put 2, s, i in decreasing order.\nAnswer: 2, s, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27439387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 198 times 0.2\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4450.6 + 4450.7. What is the closest to q in -3, 0.0576, 4?\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) 14 (c) -63.04 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*p + 50*p - 408 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 979416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, x: 4, u: 1}. Give prob of picking 2 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - (-3 - -2)) + 4 - 23. Which is bigger: k or -30?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4590 divide 855359587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(1\/5))\/(i*i**0*i)*(i**(-2)\/i)**(-4))**(-1\/28))**(-42) assuming i is positive.\nAnswer: i**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 26dc?\nAnswer: -26d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(5\/8)*p\/((p\/(p*p**(-12)*p))\/p*p))\/(p\/p**(1\/5))**(-13\/4))**(2\/9) assuming p is positive.\nAnswer: p**(-271\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 8:57 AM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -6, 1555 - 64 = 4*j - 5*g. What is the highest common factor of 41 and j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 2:49 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.16, 0.133, 387 in decreasing order.\nAnswer: 387, 0.16, 0.133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20444 by 4.\nAnswer: -5111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 106 + -64. Suppose p + j = 4*p. Suppose 3*w - 4 - p = 0. Solve -w*y + 5 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.158? (a) -3 (b) 5 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15 - -55352?\nAnswer: 55333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = k + s, -6*k + k = s - 45. Let g = 35 + -25. Calculate the least common multiple of g and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 + 5*g. Let w be q(0). Solve -3 = -w*o + 3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 91\/(-117) - (-2)\/(-9). Put 3\/5, -0.5, v, -0.4 in ascending order.\nAnswer: v, -0.5, -0.4, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -63108*i + 16029436. Give p(254).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12.4*0.03.\nAnswer: -0.372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, p: 1, t: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -7*w - 5. Let q be g(22). Let n = 163 + q. Factor n + 8\/3*y - 4\/3*y**2.\nAnswer: -4*(y - 3)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160412 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -1. Let q = y - 16. Let a = q - -7.6. Which is smaller: -0.3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 + -100. What is the least common multiple of 42 and 5\/(10\/r) - (12 + -50)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3001, -5548, -8087, -10612, -13117?\nAnswer: -15596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 465, 672, 1141, 1992, 3345?\nAnswer: 5320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 2*v - 7*v. Let f = 1 - -1. Factor v*q - 1\/2*q**f + 1\/2.\nAnswer: -(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 547935591 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 0 - 1) + -79 + 74.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away -0.0920413?\nAnswer: 5.0920413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(5\/70*-2). Let u be (p + -8 + 6\/4)*0. Solve r = 3*a - u*r - 1, 3*r = a - 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -47379503, -94759003, -142138503, -189518003, -236897503?\n\"Answer: -47379500*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*g - 155, 13 + 49 = 2*d + g. Suppose p = d - 1. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276580 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) + (sqrt(3300) - (2*-4*sqrt(3300) - sqrt(3300) - sqrt(3300))))\/(sqrt(192)*-2))**2.\nAnswer: 2475\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = -4*s, 3*s = -4*l - 10 + 42. Let i = s + -10. What is the least common multiple of 6 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f = -2*y + 6*f - 24, -6*y - 58 = 5*f for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*z**3 + 913814 - 913814.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) -3\/2 (b) -1 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 + 5. Let u(m) = -3 - m - 1 + 0 - 8*m**2. Let a(j) = -2*r(j) - 3*u(j). Let f be a(-1). Solve p - f = -4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -10*l - 12. Suppose -19 = l*u - 4*r + 13, 4*u + r = -11. Let n(j) = 2*j**2 + 6*j + 4. Calculate n(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -467*n + 470*n + 30, -2*n - 27 = -3*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 10:06 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 845 is divided by 61?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 6217\/2751?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Product of 161129 and -2.23.\nAnswer: -359317.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a century in months?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/119*14\/4. Solve o*r + 32 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/134879 and 13\/4?\nAnswer: 539516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 + 2*x. Is 39 a factor of c(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1840 divided by -5\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - l. Let u be w(3). Suppose 3*m + 3 = -u. Let z be 17 + 5\/((-5)\/m). Calculate the greatest common factor of 50 and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jttt when four letters picked without replacement from jiyxttyyxiijtio?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 0)\/((-12)\/14 - -1). Let l(c) = -c - 4. Let a be l(j). Solve a*s = 6*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -156494*j + 2. Let t(a) = -a. Give t(v(i)).\nAnswer: 156494*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 - 102*w**2 - 2700*w - 5000.\nAnswer: -(w + 2)*(w + 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8629*m - 12 + 12 + 11168*m.\nAnswer: 19797*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 8:37 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1627035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/189 and -139\/14140?\nAnswer: 381780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368118928 and 9456.\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2259.2 - 2259. What is the closest to u in -1\/4, 1, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 120190581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/3 - 191248*r\/3 - 318730.\nAnswer: -2*(r + 5)*(r + 95619)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 500\/(-1540) + (-2)\/(-14)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7166 - -21493\/3. Is 4\/53 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2302 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-130)\/25)\/((-2)\/(-50)). Let s be r\/(-52) - (-1)\/2. Suppose 56 = s*o - 2*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/(((-33)\/(-2))\/11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 79.511 * -0.2.\nAnswer: -15.9022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 1. Let i be k(4). Solve -i = 2*a + 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854786786 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - -642?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + (sqrt(1377) - (((sqrt(1377) + -5 + sqrt(1377))**2 - sqrt(1377)) + sqrt(1377))))*4.\nAnswer: -22132 + 792*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 28.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(190))\/sqrt(10) + sqrt(57)\/sqrt(3) + -4)**2 + 6*(-2 + sqrt(38)\/sqrt(2)) + -3.\nAnswer: -10*sqrt(19) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by 65\/9 + (-10)\/45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4073 + 4071. What is the smallest value in h, 0.03, 1\/30, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**3 - 5*t**2 + 5*t + 19. Let c(q) = 3*q**3 + 7*q**2 - 7*q - 29. Suppose 56 = -24*n + 47*n - 105. Calculate n*p(j) + 5*c(j).\nAnswer: j**3 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 31*b + 2032 = 2512 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 249.53. Let n = -0.562 + f. Let o = -2 - n. Round o to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 13655019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**5*h)\/h**(-1))**25*(h\/((h*h\/h**5*h*h)\/h)*h**(-1\/6))\/((h\/h**(-7))\/(h*h**(-6\/7))) assuming h is positive.\nAnswer: h**(-2311\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 143*y**2 + y + 19. Let o be q(6). Let f = o + -46504\/9. Calculate the common denominator of 109\/80 and f.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y - 14. Let j be r(-8). Suppose -t - k + 455 = 4*t, 0 = -j*t - 4*k + 200. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/7)\/(4\/112). Let x = v + -6. Let c be (-112)\/(-24) + x\/6. Solve 0 = -c*s + 5*a - 5, -2*s + 0*s - 10 = 2*a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2839519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, 4\/7, 19, 0.31, 4, 2.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10482, -10755, -11022, -11283, -11538, -11787?\n\"Answer: 3*l**2 - 282*l - 10203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 216. Let t = u - 21. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-592)\/259)\/((-18)\/189)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316744234 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/30 and 1\/2256.\nAnswer: 11280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d - 2\/9*d**3 + 2\/3*d**2 - 8\/9.\nAnswer: -2*(d - 2)**2*(d + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-154)\/(-28)*-2*3. Let i = -0.18 + 0.08. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 2*n**2 + 5*n**2)*(-1 + 2 + 1)*(0*n**3 - n**3 + 7*n**3).\nAnswer: 24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -38 - 88. Suppose 2*w = -5 + c. Solve -20 + w = 3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((12\/4 - 2)*-5)\/1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 535198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 241570?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - l - 12, 5*l + 18 = 3*c - 7*c. Let v = 34 - 11. Suppose 0 = -2*r - h + 9, r + 4*r + 2*h - v = 0. Put 4, c, r in ascending order.\nAnswer: c, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 + 2*g - 1. Let a be l(4). Let x = a - -28. Let d(h) = 4*h. Let c be d(1). What is the biggest value in c, x, -0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-4 + 10 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 3*a = -9, 13*h + 3*a = 8*h + 21 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/3, -0.4, 36.33?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*b - 61817 = 8077. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-55)\/33)*3*10\/42.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8590749.\nAnswer: 3, 83, 34501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = -h - 5*j, -h = 3*j + 10. What are the prime factors of (-1)\/(h - 36\/(-37))?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 13*j = 33. Determine s so that -1 - 8*s**2 - 5*s**j + 73 - 7*s**3 + 108*s = 0.\nAnswer: -3, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*v = -23*v + 85*v - 25440. Is 3000\/19 <= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**6\/30 + i**5\/10 + i**4 - 4*i**3\/3 - 16*i**2 + 20*i - 12. Determine l, given that t(l) = 0.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let u = 1.49 - -0.01. Let k = u + -1.4. Which is smaller: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + (sqrt(612) + -1)**2) + (0 + (5 + (sqrt(612) + 1 + sqrt(612) - sqrt(612)) - sqrt(612)))**2.\nAnswer: -36*sqrt(17) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*o - 21*o + 20. Suppose 0*v + v = 4*a - 5, -o*a = -5*v + 7. Suppose 3*u - 6 = l + 1, 4*u - 10 = a*l. Solve 5*c + u = 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3 = p. Suppose 4*a - p = i + 3*a, -2*a = 2. Sort 3, -2, i in decreasing order.\nAnswer: 3, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 42*w**2 - 66*w + 25. What are the prime factors of d(40)?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.62102 hours in milliseconds?\nAnswer: 211035672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 570536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6725 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -9689*d**5\/20 + 394*d**3\/3 + 1643*d + 2. What is the second derivative of b(c) wrt c?\nAnswer: -58134*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, a: 3}. What is prob of sequence kka?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {r: 2, x: 4, g: 2, z: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -6*m**2. Let l(c) = -6*c**2. Give l(y(w)).\nAnswer: -216*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (337 + 202*p - 337)*(1 + 1 - 5) + (-1 - 2 + 5)*(6*p - p - 2*p).\nAnswer: -600*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen quarters of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2\/5 (b) -0.5 (c) -0.04 (d) -0.038 (e) 3 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 times -287?\nAnswer: 459.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*o - 13 = -9*o + 4*j, 3*o - 3*j - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 58 = 5*i, 5*i + 3*v = i + 28. Is -2*(-143 + -1 + i) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153 by 51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25886 and 273910.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*c + 188 - 216 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 88.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 9) to base 8\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 1\/7, -2, 0.07?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -6\/11 (c) -1 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -11*m**3 + 7*m**2 + 2. Let v be (8\/12)\/((-28)\/24 - -1). Let x(h) = 3*h**2 - h + 1 + h - 5*h**3. Calculate v*w(t) + 9*x(t).\nAnswer: -t**3 - t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + -3972)\/(6 + -4). Let l = r + 8033\/4. Calculate the common denominator of l and 103\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10011 (base 9) to base 10.\nAnswer: -6571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {w: 5, u: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -24*b**2 - 21*b. Let n(i) = 25*i**2 + 26*i. Let v(r) = 4*n(r) + 5*s(r). Let m(h) = 11*h. What is m(v(f))?\nAnswer: -220*f**2 - 11*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -10. Let s be 15556\/10 + j + (-70)\/(-175). What are the prime factors of (-27)\/189 + (-3)\/((-42)\/s)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -411\/39196 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -153 times -4166.7?\nAnswer: 637505.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-926)\/(-56))\/(10 + (-39)\/4). Let h = a - 67. What is the third smallest value in 2\/11, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 99036 and 84888.\nAnswer: 594216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**2 - 79*f - 251. Let l be u(-36). Put l, -394, -5 in decreasing order.\nAnswer: l, -5, -394","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140354.497 rounded to zero dps?\nAnswer: 140354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*h + 24 - 11 - 13 in the form u + b*h and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-624)\/(-10))\/(17\/45 - ((-7620)\/270 + 28)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 (base 8) in base 13?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -3.09?\nAnswer: 9.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 20. Sort 1, 0, 4, i in descending order.\nAnswer: 4, 1, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1496)\/272)\/(((-2)\/(-2))\/((-12)\/33)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**3 - l**3 - l**5 + (0*l + 2*l**4 + 0*l)*(3*l - 3*l + 2*l))*(1 - 2 - 4)*(0 - 2 + 3).\nAnswer: -15*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.449 - -3.449. Which is the second smallest value? (a) -15 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -30*y - 5*g + 67, 0 = 2*y + 5*g - 109. Suppose 9*a = -5*a + y. Sort -0.315, 2, a in descending order.\nAnswer: a, 2, -0.315","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2274*f - 2272*f - 8460 + 20475 + 22492 + (3 - 1 - 1)*(3*f + 0*f + 0*f).\nAnswer: 5*f + 34507","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*r - 61*r + 1735*r**2 - 53*r - 55*r + 229*r - 1741*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 6*k - 4. Calculate u(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 5. Let i be b(4). Let d be (-5)\/(30\/i)*4. Let m(a) = -8*a**3 + 6*a**2 - 6*a - 6. Let k(g) = 9*g**3 - 7*g**2 + 7*g + 7. Determine d*k(y) - 7*m(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2229728053 rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 176?\nAnswer: 21648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b2 (base 16) to base 6.\nAnswer: -2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 4, -24 = -2*c - p. Let h(j) = -c*j + j + 10 + 1 - 2*j + j**2. Determine h(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5014 = 373*n + 421*n + 1338 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2*t**2 - 2)*(-10 + 5 + 7 - 11*t**2) to the form u*t**4 + n*t**2 + z*t + w + x*t**3 and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425*g = 115*g - 470 - 31870 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 + 48.9. What is q rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 29200 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22766*p*y**5 + 10*p*y + y**6 - 26*y**2 - 12*y wrt y.\nAnswer: 1365960*p*y**2 + 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -487 - -238. Let n = t + 249.07. Let z be 1\/(3\/((-3)\/2)). What is the third biggest value in 3, n, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**4 - 80*f**3 - 58*f**2 - 30769*f.\nAnswer: 12*f**2 - 480*f - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 + 9*o**2 + 3*o + 9. Let f be u(-8). Let d = f + -42. Calculate the least common multiple of d and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2, 8, 14?\n\"Answer: 6*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 76927.4 and 34.\nAnswer: 76961.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 12*u - 55. Let y be b(5). Let k be (-2)\/(-1*(-3)\/(-6)). Solve w - y*w - k = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 57147*v**2. Let b(u) = -2*u. Determine b(x(n)).\nAnswer: -114294*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21135\/7 in 3, 0.078, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 9:23 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x = -5*x - 80 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 917 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/40 and (3 - 15\/(-9))\/(176\/(-90)).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + -8. Suppose -f*n = -3*l + 6*l - 32, -3*n - 2*l = -20. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15760453 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = 4*u, 14 = -4*u + 3*l - l. Let r be 7546\/63 - u\/9. Suppose -14*a - r = -15*a. Is 13 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3556737 > 3556739?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - 2*v + 3. Suppose -5*f + 1 + 9 = 0. Let d be y(f). Suppose -o = -d*o - 318. Round o to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3696, 3690, 3680, 3666, 3648, 3626, 3600?\nAnswer: 3570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.01, -7, 99.\nAnswer: -7, -4, -0.01, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 0*g - 235 + 235.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4134 + -20?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6059, -6062, -6087, -6158, -6299, -6534?\nAnswer: -6887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1649 + 2195. What is the remainder when p is divided by 85?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211909160?\nAnswer: 2, 5, 43, 123203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/310030 and 107\/921438.\nAnswer: 198109170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 2. Let l be c(3). Let m(z) = 13*z**2 - z - 1. Is m(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -16110146674 and 236?\nAnswer: 16110146910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 697 + -250. What are the prime factors of s?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -6. Let v be (7 - n)*2\/4. Put 8, -2, v in ascending order.\nAnswer: -2, v, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - 12*b**2 + 4. Let w be 24\/(-10)*(-9 - -14). Let j be o(w). Solve 0 = -0*h + h + j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252212650 divided by -29830.\nAnswer: -8455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469 is divided by ((-15)\/(315\/14))\/((-6)\/279)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 3*x**2 + 3*x + 1. Let g be t(-3). What is the remainder when 11 is divided by g\/3*6\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -167161\nAnswer: -5\/167161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of 17*z**4\/12 + 4*z**3\/3 - 89*z**2\/2 + 2*z + 31. What are the prime factors of y(6)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9418, -37576, -84476, -150118, -234502, -337628?\n\"Answer: -9371*i**2 - 45*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -3 (c) 117 (d) 10 (e) -0.4 (f) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 + 4*b**2 + 7*b. Let z(c) = -c**3 - c**2 - 1. Let g(f) = -n(f) + 3*z(f). Give g(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 3*x**5 - x**5 + (1 + 1 + 0)*(-x**5 - 4*x**5 + 4*x**5) - 277*x**5 + 561*x**5 - 13 + 11.\nAnswer: 281*x**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(110) + -6*(sqrt(110) + sqrt(110)*1 + sqrt(110) + sqrt(110)) + sqrt(110)))\/(sqrt(1210)*-2 - (sqrt(80)*2)\/sqrt(8)) + 2)**2.\nAnswer: -11*sqrt(11)\/3 + 1907\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = p - 25 + 11, 32 = 2*p - 3*b. Let s(k) = k**2 - 3*k - 3. Let i be s(3). Let w = p + i. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*y = 24*y - 4092. Suppose 0 = -5*i + y + 5826. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 167 = 85. Let b = -44 + y. Let h be (-6)\/b - 12\/16. Round h to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -8*a. Let g(d) = -1. Let h(t) = t + 1. Let z(p) = 2*g(p) + 2*h(p). Determine b(z(q)).\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002187 rounded to 7 dps?\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -231, -444, -657?\n\"Answer: -213*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p. Suppose -12*u + 61 = -47. Let a(h) = -26*h**2 + u*h**2 - 10*h**2 - 6*h**2. What is a(o(i))?\nAnswer: -132*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6376 + 0.06895.\nAnswer: 6376.06895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23\/5, -3, -0.35, 1, -1\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*g + 2*g**3 + 836*g**2 + 834*g**2 + 826*g**2 - 2491*g**2.\nAnswer: 2*g**3 + 5*g**2 - 42*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 7*k**2 - 1073*k - 744. Calculate o(154).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6*348919\/(-408))\/((-10)\/2). Let m = -4103\/4 - h. Find the common denominator of -97\/10 and m.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-14 + 0 - -15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179089 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 716 - 2488. Let m = x + -360. Are m and -4 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (18\/(-10))\/(72\/(-600)). Let n(r) = r**2 - 10*r + 9. Let b be n(7). Let c = b + m. Solve 0 = 3*t - 2*s + 15, 0 = 4*t - 7*t + c*s - 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.97217019 <= 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2035755 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(8) + sqrt(392) + -1*sqrt(392)) + (sqrt(66) - sqrt(66)*2)\/sqrt(6) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62378 is divided by 1180?\nAnswer: 1018","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2017900 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 167228*u**2 + 332469 wrt u.\nAnswer: 334456*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2, r: 4, a: 1, u: 1}. Give prob of picking 2 d.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -53, -192, -409, -692, -1029, -1408, -1817?\n\"Answer: 2*q**3 - 51*q**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 - w + 2*w**2 + 0*w**2)*(9 + 12 - 24) as k*w**2 + i + d*w and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609353507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -8863?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + 24 + (-66 - -6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -4*a + 8. Suppose 27 = 5*x - 3*j + 5, -2*j = -a*x + 8. Suppose 3*d + 2*d + 5*g = -5, -g = -3*d + x. Solve -c + 0*c - d = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q - 32 + 12. Suppose 5*l + 46 = -2*o, -l = -3*o - 3 - 83. Let u be o\/(-12) + q + 2. Which is the biggest value? (a) 2\/9 (b) u (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 414, 1345, 2276, 3207?\n\"Answer: 931*s - 517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/9 + 5\/(-15). Let z be 280\/14 + b*3. Solve 0 = 3*j - z + 8 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200) + 0 + 2 - (sqrt(2) + sqrt(72)\/sqrt(4))*1)**2 + ((sqrt(2880)*-2)\/(sqrt(10) - sqrt(30)\/sqrt(3)*-3))**2 + -5.\nAnswer: 24*sqrt(2) + 143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 13, 16, 15, 10, 1?\n\"Answer: -2*o**2 + 9*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + 36?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in minutes?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105226.\nAnswer: 2, 11, 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7097819036 to the power of 1\/2, to the nearest integer?\nAnswer: 84249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 49*g**4 + 2*g**2 + 2*g + 1. Let w(x) = 99*x**4 + 5*x**2 + 5*x + 3. Let l(b) = -5*j(b) + 2*w(b). Differentiate l(c) wrt c.\nAnswer: -188*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**2\/5 - 54039528*d - 1216779411026160 = 0.\nAnswer: -45032940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -70775 divided by 7\nAnswer: -70775\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(500) + -5 + sqrt(180) + sqrt(5))*-5*3)*2)**2 + 3.\nAnswer: -146880*sqrt(5) + 1321239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 4:58 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 8*a + 6 = -2*l + 13, 0 = -2*l - a + 5 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 6200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/20 - y**4\/3 - y**3\/2 + 3*y**2\/2 + y. Let k be a(5). Solve -5*f + k = -12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**5\/7 - 19*w**4\/7 - 138*w**3\/7 - 472*w**2\/7 - 736*w\/7 - 384\/7 = 0?\nAnswer: -6, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4943 a factor of 1363598013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2316 = -118*m + 162 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 3*z + 3 + 9, 8 = 2*z. Calculate the smallest common multiple of 7 + s - (-1 + 4) and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71 - 70.7. Which is the fourth biggest value? (a) 5 (b) -5 (c) 0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5196386 divided by 47?\nAnswer: -5196386\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4579, -17638, -39397, -69850, -108991, -156814, -213313, -278482?\n\"Answer: m**3 - 4356*m**2 + 2*m - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 260 (base 9) to base 15\nAnswer: e6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*g + 53*g + 30 = 0. Suppose g*p - 9*p = -93. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/167594 and -97\/30358456?\nAnswer: 212509192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s**3 + 5*s**2 + 3*s - 6. Let k(m) = -10*m**3 + 14*m**2 + 10*m - 17. Let b(j) = -7*a(j) + 2*k(j). Let d be b(7). Solve 5*q + d = -14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 5*c - 5 = 0, 3*x - 17376*c - 4 - 1 = -17371*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.07 - 7.07. Let n = o - -5.1. Let b = n + 2. What is b rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 4*w = 1218, 1442 + 151 = 4*j - 5*w. Let y = j - 398. Let t(f) = 3*f**2 - 10*f + 2. Determine t(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 8*a**2 + 8*a**2 + 28 + 11*a. Let w be h(-9). Differentiate -3 - 8*k - 2*k + w*k - 10*k**2 with respect to k.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -74291 divided by -3\nAnswer: 74291\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4 + (-30)\/(-18) - 6\/9. Suppose -h = 2*z - 29. Calculate the smallest common multiple of 42 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -149.3 + 12.3. Let q = y + 136.8. What is the biggest value in -111, 0.4, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8282 and 0.07.\nAnswer: 8282.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -10, -22?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 8 = 2*a + 6, -5*u - 2*a - 23 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 214406, 0.3, 61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 36, 27, 14, -3, -24, -49?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1\/2))**(2\/47)*h**(-8)*(h\/((h*h**7*h)\/h))\/h assuming h is positive.\nAnswer: h**(-749\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6870242 - 886163 = 0. Let h = k + -10548719. Round h to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, 188\/417, -2\/5 in increasing order.\nAnswer: -14, -3, -2\/5, 188\/417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4 = y - 2*y, 5*g + 16 = -4*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w + 1. Let l(t) = -t**2 + 18*t + 147. Let m be l(-6). Let s(p) = 25*p + 2. Give m*s(z) - 5*n(z).\nAnswer: 10*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, -91, 0.2?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1724 + -2a2c1?\nAnswer: -2889a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 109240 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/801 - -1588\/5607. Let q be (-1)\/((-1)\/(-2 + 1)). Put -2\/3, y, 0, q in decreasing order.\nAnswer: y, 0, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-18))\/1*(-1527)\/2545.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18651?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1121814623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2775*x**3 - 32067*x**2 + 34842*x = 0. Calculate x.\nAnswer: -11614\/925, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*n. Let g be n + (-7041)\/30*19. Let x = g + 4452. Calculate the common denominator of -51\/10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13344 by -5.\nAnswer: 13344\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/189728 and 67\/640?\nAnswer: 3794560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2284*t**3 + 16*t - 2 + 2 + 2290*t**3.\nAnswer: 6*t**3 + 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/((-9)\/8)*(-37152)\/(-64).\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 2147*i**6\/30 - 145*i**4\/6 - i**3\/6 + i**2 - 42*i - 12. Find the third derivative of t(c) wrt c.\nAnswer: 51528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182391 is divided by 354?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*s + 172 = 3*l, 0 = 3*l - s - 197. Suppose -l*i = -60*i - 8. Suppose 4*w + 434 = 2*j, i*j + 3*w - 406 = -0*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102382932 a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 205314.9392 minus 1?\nAnswer: 205313.9392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*d = 131*d + 1806. Put -4, 4, d, -1 in decreasing order.\nAnswer: 4, -1, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -1\/100*h**5 + 0 + h + 1\/10*h**2 + 1\/30*h**3 - 1\/60*h**4. Factor y(i).\nAnswer: -(i - 1)*(i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 2\/15, 37\/9, 1\/7, -1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -75 + (-18 - -29) + 34\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 + -0.286?\nAnswer: -34.286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141404.\nAnswer: 2, 23, 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30580.735 rounded to the nearest 100?\nAnswer: 30600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -2*u**7\/21 + 2*u**6\/3 - 8*u**5\/5 + 4*u**4\/3 - 13*u. Determine m, given that k(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(200) - -2*sqrt(200))*1*2 - (1*sqrt(200)*-1 - (sqrt(200) - ((sqrt(200) - (sqrt(200) + -1)) + 3)))) + 3)**2.\nAnswer: 160*sqrt(2) + 12801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*z - 9, q - 5 = -z + 3. Suppose q*u - 6 = u + n, -u = 3*n + 4. Suppose 40 = -i + u*i. Does 20 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011000001111000000 (base 2) to base 4.\nAnswer: -1120033000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 13b8793 (base 12) to base 5\nAnswer: 2004204034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.54 (b) -0.08 (c) -1\/7 (d) -1 (e) -3 (f) 0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45272\/3 - 271265\/18. Let w = -39\/2 + d. Factor 4*a**2 + w*a**3 - 16\/9*a**4 + 22\/9*a + 4\/9.\nAnswer: -2*(a - 2)*(2*a + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 - 1. Let b = 3.6 + h. Let r = b - 1.699998. What is r rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 47. Let b(f) = f. Let q(z) = -b(z) - i(z). Let d be q(25). Solve -d*t - 3 = -9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -344?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/35)\/((-2)\/(-4)))\/((-48)\/168).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -3*x - 21, 75*x = k + 71*x + 2. Suppose 219 = k*o - 41. What is the remainder when o is divided by -1 + 7 + (-2)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506175 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -k**2\/2 + 1. Let h(o) be the first derivative of -2*o**2 - 83. Give p(h(n)).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 15*a + 6 = 0. Let h be (a + 2 + 1)\/(-2). Solve -q = 4 - h for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 2*b = 30*b. Solve 5*d - 9*d - 8 = b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/(-51) - -7)\/(2 + -1).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 267*u - 3779 - 5379 - 1682 + 3097 for u.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (0 + (sqrt(32))**2) - (sqrt(288) + 0).\nAnswer: -32 - 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-1))\/(-3 + 4). Let f(o) be the third derivative of -1\/20*o**5 + 0*o + o**c + 0 + 0*o**4 + 0*o**3. Let s(r) = r**2. Determine s(f(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.097 - -0.027. Let w = s - -3.07. Let v be (1 + 0)\/((-8)\/6). Which is the closest to -0.2? (a) w (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 11, -7, -1, -4, 2 in decreasing order.\nAnswer: 11, 4, 2, -1, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * 122.\nAnswer: 427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 5*d - 354980 = 0. Suppose -5901 = 17*i - d. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 6*q**2 - 7*q - 49. Let l(n) = n**3 + 7*n**2 + 4*n - 8. Let x be l(-6). List the prime factors of d(x).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 12*q + 1. Let u(g) = g. Let b(s) = -r(s) + 5*u(s). Let j be ((-6)\/8)\/(81\/(-108)). Determine b(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -12. Let s(i) = i**2 - 6*i. Let o be s(5). Put a, -10, o in ascending order.\nAnswer: -10, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -32 + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 13*w - 357 = -44*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 13*n - n**3 + 1 - 1 - 13 + 10*n**2. What is the remainder when u(8) is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(1300) - (sqrt(1300) - (sqrt(1300) + -1 - sqrt(1300))))**2 + sqrt(13)) - ((sqrt(78) + -4*sqrt(78))*6)\/sqrt(6).\nAnswer: 6 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + m - 4, 2*s - 5*m + 6 + 1 = 0. Let y(d) = -209*d**3 + 3*d**2 + 2*d - 1. Let p be y(s). Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -344671*w - 2757390. Calculate q(-8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*s + 163*s - 13*s + 77*s.\nAnswer: 207*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = i - 14, -777*i + 781*i = -x + 11. Factor 3\/7*k**3 + 1\/7*k + 0 - 4\/7*k**i.\nAnswer: k*(k - 1)*(3*k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = -4. Does 13 divide 30 + -1 + (-3 - t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2314 and 14794?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**8\/168 + q**7\/35 - q**6\/20 + q**5\/30 + 8*q**2. Find a, given that o(a) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5)\/10)\/(-1))\/(20*72\/480).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33152150 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5033 + -5046.2. Which is greater: m or -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3277*l = -3280*l + 36 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in centimeters?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 18*l + 20*l, 4*a + 5*l = 14. Let v(s) be the first derivative of -1\/3*s**3 + 0*s + 0*s**2 + a. Let k(m) = -6*m. Determine v(k(f)).\nAnswer: -36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 31*j + 141. Determine m(26).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + -2 - (-4 + (-7 - (-20 + 0))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 13, 16, -3\/10, -1\/7 in ascending order.\nAnswer: -1\/3, -3\/10, -1\/7, 13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*q - 8, -5*f - 13*q = -9*q - 6. Let i = -899.87 - -906. Let m = 0.13 - i. Which is the smallest value? (a) m (b) f (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*c - 24 = 0, 0 = 4*l - 0*c + 4*c. Suppose -l*u + 5*u - 8 = 0. What is the remainder when 14 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1510382 and 31093?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9 + 7 = 0. Suppose -d - k*d = 0. Let g be (-3 - d - -6) + 11. What is the highest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 2 (c) 5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r + 2. Let g(k) = k**3 + 8*k**2 - k - 8. Let m be g(-8). Let o be f(m). Suppose a - 649 = -o*a - 4*d, 0 = 5*d + 25. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:19 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 610*u + 10 = 606*u + 2*g, -2*u + 2*g = 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -2)*1*-1. Put -2, 1, u in increasing order.\nAnswer: -2, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1165395 and 210.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 18*g\/11 - 272\/11.\nAnswer: 2*(g - 8)*(g + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 4, 0.4, -46, -0.4, -4\/269, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/31)*x**(-3) assuming x is positive.\nAnswer: x**(-95\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/(-6) - 5) + 97. What is the highest common factor of h and 147?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*s**6*y**2 + s**6*y + 262*s**2 - 2*s*y**2 wrt s.\nAnswer: 16440*s**3*y**2 + 120*s**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 46. Solve f*b + 1 + 5 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1446435234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.8 and 0.23.\nAnswer: 5.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671 is divided by 207?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-21))\/(-3 - (-10)\/3). Let n(f) = -f**2 - 6*f**q + 4*f**2 + 5*f - 4. Let j be n(2). Let x(y) = y**2 + 8*y + 5. Give x(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46138 (base 9) to base 12\nAnswer: -15952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/24 + (-4)\/8.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44638?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -6*h - 99. Let y be b(0). Let o be y\/(-22) + (-5)\/(-2) + -4. Let d = -10 + 1. What is the nearest to d in o, -2\/9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -238*i - 250*i**2 - 51*i**3 + 224*i + 53*i**3 in the form h + m*i**3 + l*i + k*i**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 156419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243156*z**3 + 19*z - 180132*z**3 - 19*z.\nAnswer: -423288*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**4\/4 - 20*p**3\/3 + 18*p**2 + 2*p + 660. What is v(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*j = 239*j - 118. Suppose j = 7*k - 32. Calculate the remainder when 19 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 2 - (-83 + 172 - 96)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-15)*(-490)\/294?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, k: 5, g: 5, c: 4, o: 1}. What is prob of sequence ho?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 21\/(-6) - -3) + -1. Let p(w) = w**2 - 8*w + 12. Let z be p(7). Which is the closest to t? (a) -1\/5 (b) 3\/8 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (5 - 3) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1062)\/72 - 11 - -22?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-92 + -430)*-1*(-276)\/(-9)?\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-620)\/1953 - (-2)\/9.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*d = -12, 0 = -3*f - 4*d + d - 9. Solve -r + 2*r - 14 = -5*t, f = 3*r + t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4611*x**3 - 559*x**2 - 6?\nAnswer: 27666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/636428 and -127\/2227498.\nAnswer: 4454996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623 is divided by 147?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59235 - 59195. What is i in 155\/2*i**2 + 140*i - x + 10*i**3 = 0?\nAnswer: -4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -149\/1098 and -97\/438.\nAnswer: 80154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40 - (88 - (-59 + 5))\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1967, -3934, -5901?\nAnswer: -7868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*o - 40 - 5 = 0, 2*h = 3*o + 29. Let t be -6*(h\/(-12))\/((-5)\/(-15)). Calculate the highest common factor of t and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 4)*(0 + -2). Suppose 0 = a - 3*a - f. Let u(j) = -j + 1. Let d be u(a). Is d < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = 42. Suppose -2*c + 0*c = -r. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 e, and 1 s when three letters picked without replacement from yswpyppswwttepw.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/773 or 0.1?\nAnswer: -3\/773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12535, 1, -4\/3 in increasing order.\nAnswer: -4\/3, 1, 12535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*s - 435*s - 10250 = 0 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n**(-36)*n*n)*n*n)**(-22)\/(n**(-13)\/n**(6\/31)) assuming n is positive.\nAnswer: n**(-24143\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.49 + 0.39. Which is the closest to r? (a) -4 (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 - 15*c**2 + 25*c + 15. Let d be m(13). Suppose 2*k = -4*u + 402, -d*u - u - k + 303 = 0. Calculate the lowest common multiple of u and 14.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 2 - 3)*((-2*k + 2*k - 3*k)*(2 - 2 + 1) + 5 - k - 2 - 5) in the form a*k + v and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010110111011000 + 100?\nAnswer: -101010110111010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38945, -5, -122?\nAnswer: 38945","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/71? (a) -0.07 (b) -0.3 (c) -1 (d) -3 (e) -312\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0, -3, 1\/20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 12 = 2*k. Let g be 69\/9*(-1 - -19). Suppose 20 = -g*j + 143*j. Solve 5*n = -j - k for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8080, -16172, -24264, -32356, -40448, -48540?\nAnswer: -56632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 226 a factor of 25359686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 546?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j - 2. Let g(o) = 5*o + 4 - o - 6. Calculate the remainder when s(-2) is divided by g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235787735*m**3 - 419*m**2 - 75816*m.\nAnswer: 1414726410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**5 + 0*b**5 - 4*b**5 + (2*b**4 + b**2 - b**2)*(3*b - 3*b - b))*(12 + 6 - 41 + 12).\nAnswer: 33*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 97*y**5\/5 + 145*y**3 - 20*y**2. What is the derivative of b(j) wrt j?\nAnswer: 2328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32715665 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.64 - 8.54. Let f = 1.9 + x. Suppose 9*y = -49 + 4. Sort -2, f, y in increasing order.\nAnswer: f, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2355*y - 1406. What is the ten thousands digit of u(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 16*p**2 + 2*p - 18. Let l be k(16). Solve 3*g - 4 = -5*v + 1, -2*v + 2*g - l = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1983299, -1983297, -1983295, -1983293, -1983291, -1983289?\nAnswer: -1983287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-21 - -9) - (1 + -8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3 + (-4)\/(-2). Suppose a*b - 2*f - 16 = 0, 0 = 4*b - 0*f + f - 22. Solve -b = -o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23373599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124202, -248402, -372602, -496802, -621002, -745202?\nAnswer: -869402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -77361 - -536421173\/6934. Is 0 smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 - 10. Let k = w - 8. Suppose -k*x - x + 4 = -d, -d - x + 1 = 0. Which is the smallest value? (a) d (b) -0.1 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -331513?\nAnswer: 50\/331513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lddd when four letters picked without replacement from {l: 2, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tetzzxwu. What is prob of sequence ze?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4\/3 - 8*i**3\/3 + 10*i**2 - 32*i\/3 + 11\/3.\nAnswer: -(i - 1)**3*(i + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -64263652 or -64263655?\nAnswer: -64263652","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -110*m - 270*m + 33*m - 2*m + m + 0*m - m - 2*m + m + (1 - 4 + 5)*(-4*m - 2*m + 4*m) - m - m + 3*m - 2*m - m + 2*m - m - 1 + 1 to t*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5776309*s**3 - 5776162*s**3 + 11552524*s**3.\nAnswer: 53*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 94, 203, 356, 553?\nAnswer: 794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70*d**2 + 103*d**2 + 67*d**2)*(-d + 0*d + 4*d).\nAnswer: 300*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 0. Let b be (5*(-2 - -1))\/h. Let o(s) = s - 9. Let x be o(13). Solve b*l = -10, -x*l = -f + 1 + 7 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3555369 centuries to years.\nAnswer: 35.55369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a day?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -646476916 divided by -6877414?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26289, 26953, 28053, 29583, 31537, 33909?\n\"Answer: -r**3 + 224*r**2 - r + 26067","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**4\/23 + 204*y**3\/23 - 6576*y**2\/23 + 70004*y\/23 - 232974\/23 = 0.\nAnswer: 7, 9, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 101.7 and 5.\nAnswer: 106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 675968579?\nAnswer: 11, 13, 271, 17443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/334304 and 95\/10784?\nAnswer: 334304","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*f - m = -8, 3*m = 15. List the prime factors of (42\/f + 1)\/((-29)\/58).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 136350 and 8910.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-256)\/65664)\/((-3)\/81)*2*-2\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 1, -2*p = 33*u - 28*u - 133. What is the lowest common multiple of p and (5\/1)\/((-2)\/(-4))?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(81\/648)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 987435, 987427, 987419, 987411, 987403?\nAnswer: 987395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -2, 2 in increasing order.\nAnswer: -2, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2356?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1426 and -41\/14.\nAnswer: 9982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7\/23 (b) -10 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -444*a + 609*a + 1815 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express a - a**4 + 4*a - 4567 + 0*a**2 + a**2 + 4580 - 2*a**3 as l*a**4 + j*a**3 + h*a + m*a**2 + d and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from auuuviaiivui. Give prob of sequence aavu.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 70616 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7514091 to the nearest integer?\nAnswer: 2741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z + 3. Let d be n(3). Suppose -5*v + 9*v + 20 = 0. Let l = d - v. What is the remainder when l is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/5 of a milligram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/22 and 55\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-496)\/32 + 17)*(1 - -45). What is the highest common divisor of d and 4623?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the third derivative of -1\/6*g**3 + 0 - 1\/60*g**5 + 2*g**2 + 5\/24*g**4 + 0*g. Calculate l(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-11 + 6)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + 11 - (6 - 6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 15 = -v, -2*z + v + 1 = 16. Let n(k) = -k**3 - 4*k**2 + 3*k - 2. Is n(z) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 1\/4, 0.21, -5\/3 in decreasing order.\nAnswer: 1\/4, 0.21, -1\/4, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -1644 (c) 1 (d) 12.3 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2582943, -10331746, -23246409, -41326932, -64573315, -92985558, -126563661?\n\"Answer: -2582930*b**2 - 13*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.5 - 0.5. Let u(m) = m**2 + 8*m - 6. Let f be u(-8). Let k be (f\/(-5))\/(2\/(-5)). What is the nearest to v in -2, 0, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*s - 11 + 11*s + 5 - 4*s.\nAnswer: 21*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Suppose 0 = 8*z - 4*z - 5*p - 219, -4*z - p = -225. Let r be (-6)\/39 + z\/26. Do i and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 130 and 0.1.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(-6)*r**(-11\/8)*(r*r**(-1\/9)\/r)\/(r*(r*r**(-5\/2)\/r*r*r)\/r*r) assuming r is positive.\nAnswer: r**(-503\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 174.\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-418)\/(-8) + 8*75\/1600*-6?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 3*n - 193, 3*x - 4*n + 29 - 155 = 0. Calculate the highest common factor of x and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76436 - -76435.949861. Let c = v + 0.05. Round c to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-858 + 6863 - 1235)*(d - 3*d + 3*d).\nAnswer: 4770*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 - 34*k**3 + 96*k**2 + 3906*k - 3969.\nAnswer: (k - 21)**2*(k - 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -b + 38, -2341*b + 4684*b = 2338*b + 9*w + 112 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61755 and 138?\nAnswer: 123510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 510 = 0. Suppose -2*h - 62 = -z. Suppose 16*u - 12 = 14*u. What is the greatest common factor of u and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:36 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4691 - -4691.5. Put g, -5, 1\/38, 0.1 in ascending order.\nAnswer: -5, 1\/38, 0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in six fifths of a centimeter?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 654005, 654003, 654001, 653999, 653997, 653995?\n\"Answer: -2*a + 654007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 1 = 3*t + 29, 0 = -p - 3*t - 4. Suppose -2*k + 8 = -0, 0 = 4*n - 4*k - p. Calculate the remainder when 13 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 8:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 50*h + 120. Calculate g(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3734, 7466, 11198?\nAnswer: 14930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5 + 1)\/((-2)\/(-3)). Let j = 8 + o. Differentiate -4*r**4 - 4 + j*r + 1 - 2*r wrt r.\nAnswer: -16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-12)\/(-8)). Suppose 4*x - 14 = j + j, 0 = 5*j - x - 10. Solve v = -p - j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v**2 - 3*v + 5. Let u(a) = 9*a**2 - 5*a + 10. Let s(f) = -6*u(f) + 11*w(f). Suppose -24*d + 4*p = -25*d, -10 = 2*d - 2*p. Determine s(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/24 and (-2)\/(11*-12)*163?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31472457, 62944910, 94417363?\n\"Answer: 31472453*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 12906. What is the thousands digit of l(-79)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1618, -1616, -1614, -1612?\nAnswer: -1610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.09647 and -1399.\nAnswer: 134.96153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -141260 >= -847565\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(198) - sqrt(22)))\/(sqrt(2) + sqrt(16)\/(sqrt(32) - sqrt(8))).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(7))**2 + ((sqrt(84)*2)\/sqrt(12))**2.\nAnswer: 4*sqrt(7) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 10. Let w be x(0). Let p = w + 16. Is 20 a factor of (-20)\/(p\/8 + (-4)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 6:10 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) -7 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 216?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**3 - 5*a**3 + a**3)*(-20 + 3 + 6*a - 9*a).\nAnswer: -3*a**4 - 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2265 + 3119. Which is smaller: -2\/3 or x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-584)\/(-14) - 4\/(-14). Let u = j + -29. What is the remainder when u is divided by (-1 - -4) + 0 + 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-8)\/(-2) - (-10 + 12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0962 - 2.8962. What is the third biggest value in 50, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g - 9*g - 78 = -8*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -25*d**3 + 60*d**2 - 20*d = 0?\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 114 + 38. Let i = 172 - z. What is the remainder when (679\/21)\/(3\/(-27)*-3) is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1795 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and 25\/359282.\nAnswer: 718564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 479810 greater than 479789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*f - 4*f + 0*f + (5 - 2 - 2)*(-5*f + 0*f + 4*f) + 4*f + 4*f + 2*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**6\/10 - w**5\/30 - 83*w**3\/6 + 540*w**2. What is the third derivative of d(t) wrt t?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 33*b + 85 = -38*b, 2*b + 10 = 0. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5*y**3 + 3)*(-2 - 4 + 4)*(4 - 7 + 0).\nAnswer: -30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 584*l = 581*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 790566165?\nAnswer: 3, 5, 67, 263, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -4*o + 5*m, -6*o - m + 5 = -7*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/79 (b) -25\/29 (c) -0.3 (d) 2\/11 (e) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 - 2*b**3 + 57 + 21 - b**2 to r + k*b**2 + u*b**3 + m*b and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222070 is divided by 24265.\nAnswer: 3685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b - 5*b**5 + 4*b + 8*b wrt b.\nAnswer: -100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.0216, 1, 9, 5, -4 in descending order.\nAnswer: 18, 9, 5, 1, 0.0216, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101111010001100 (base 2) in base 7?\nAnswer: 2104205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*u + 26*u + 16*u + 15*u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 332 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6019 and 55135429.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 22882 = 5*g, 4*a + 3*g + 31298 - 77010 = 0. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141881 is divided by 9452.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 472\/59*43\/(-4472)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -256, -389, -524, -661?\nAnswer: -800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -14\/196128045?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14688 divided by -18?\nAnswer: -816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -24cb + -13?\nAnswer: -2500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 331867, -169, -2, -3 in decreasing order.\nAnswer: 331867, -2, -3, -169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 29*w - 101. Let j be i(3). Sort j, 2, 24 in descending order.\nAnswer: 24, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 304*g + 895. What is n(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - -3. Suppose o*v - 16 = -8. Solve -4 = v*d + 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1 + 4*v - 3 - 4 + v**3 - 1 - 6*v**2. Suppose -2*j = -7*j + 30. Calculate the remainder when n(j) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.074, 10294.\nAnswer: -0.074, 0.3, 10294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.88 - 0.12. Let t = -5.5 - g. Let s = t - -0.5048. Round s to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-220)\/(-68) - 2. Let i = -37\/85 - n. What is the smallest value in -0.5, -3, 4, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 - -21?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 94776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1381*p**2 - 963*p**2 - 2483*p**2 - 1315*p**2.\nAnswer: -3380*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -1.3, -340, 3 in increasing order.\nAnswer: -340, -1.3, -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 33*m + 191*m - 86*m + 4332 = 0 for m.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2677170.6 * 0.1\nAnswer: 267717.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8153198871 - 0.295?\nAnswer: 6.5203198871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 27 = -5. Let t be (-1 + 4)\/(4*(-1)\/(-12)). Let y = t - 13. Is r smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 37 = 4*t, -3*i - 26 + 7 = -4*t. Solve 5*y + 5*v = i*v + 1, v + 7 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/3 + 25*r\/3.\nAnswer: -r*(r - 25)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgx when four letters picked without replacement from lliixixxgxilx.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of d**4\/4 + d. Let o(i) = 2*i. Calculate o(l(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1482198 is divided by 1667.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3)*t)**(-9))**(-5) assuming t is positive.\nAnswer: t**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 - -2.2. Let z = -2.97 + o. Let q = z + -0.03000035. What is q rounded to 7 dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 152 = -4*z. Let h be 1*z*(-2)\/4. Solve -q - 25 = -5*m, 3*q - m + 0*m = -h for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -504\/95 - -26\/5. Which is the fourth biggest value? (a) j (b) -2\/3 (c) -1\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, -2, -2\/99?\nAnswer: -2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 103?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18476*a**2*z**2 + 35*a**2*z - a + 13 wrt z.\nAnswer: -36952*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2046885 divided by -15\nAnswer: -136459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 51 = 11. Solve 3 - 13 = -g*v + 2*r, -v = -4*r - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 2. Calculate r(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 131 = -33. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-5))\/((-9)\/45). Suppose 0 = 24*w - 10*w - 14. Let h be (w\/70)\/(z\/(-12)). Is h < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 237 + -223. Suppose -5*w - 4*n + 2 + 2 = 0, -4*w - 2*n + 8 = 0. What is the smallest common multiple of c and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (9 + (9 - 20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159844*h - 159839*h - 159822*h + 639321*h - 159854*h.\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/(2*sqrt(4) + sqrt(4)))\/(-4*sqrt(128)))**2.\nAnswer: 1\/1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = -16*k + 65 + 381 for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.902448974 rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 15*d + 19. Let f be i(-16). Are 5 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1428 or 72817\/51?\nAnswer: 72817\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8278, 8305, 8372, 8497, 8698, 8993?\nAnswer: 9400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*v + 2 + 123*v + 0 - 1 - 358*v.\nAnswer: -281*v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 25*s = -24*s + 21264, 0 = 4*g + 5*s - 85119. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 - d**2 + 12*d + 3. Let m be r(3). Suppose 4*i + m*t - 1111 = 6333, 4*i - 7440 = -4*t. What are the prime factors of i?\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (78\/(-27) - -2)\/(-2). Let v(r) = -r**2 + 5*r + 8. Let z be v(6). Factor -2\/9*p**z + 0 - g*p.\nAnswer: -2*p*(p + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59 + 156. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/42 - ((-24)\/(-14) - 2). What is the closest to -1\/3 in -0.4, 4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, -4, -3, -1 in descending order.\nAnswer: -1, -3, -4, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.31 (b) -31.046 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-20))\/((-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26573 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14075 plus -3.11?\nAnswer: -14078.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31866014 and 8.265.\nAnswer: -31866005.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2592) + sqrt(2592) + 1 + sqrt(2592))*-1*-2)**2.\nAnswer: 864*sqrt(2) + 93316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 2:15 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 4*f - f + (3 - 2 + 2)*(-f + 14 - 14))*(4 + 1 - 3).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 5\/3. Factor 2\/3*n**3 + 0 + n**2 + a*n.\nAnswer: n*(n + 1)*(2*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-40)\/(-24)*-40*(-39 + 3). Find the common denominator of 25\/27 and (-2)\/10 - (-4 + 11245\/h).\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26.9 - -28. Let x = -185.9 - p. Let v = x + 186.999889. What is v rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {b: 2, j: 2, a: 6, l: 3, h: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-14))\/(520\/(-182)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74547 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z**3 - 8*z**2 - 25*z - 17. Calculate the remainder when y(-7) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**7\/21 + 2*c**6\/3 + 4*c**5 + 40*c**4\/3 + 80*c**3\/3 + 32*c**2 - c + 74. Factor l(o).\nAnswer: 2*(o + 2)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**8\/36960 + v**7\/13860 + v**4\/8 + v**2. Let l(i) be the second derivative of g(i). Suppose l(y) = 0. Calculate y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 1404.\nAnswer: 7020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29839 - -29862. What is the highest common factor of u and 60283?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**5\/15 - 248*x**4\/15 - 698*x**3\/5 - 804*x**2\/5 + 1584*x\/5 = 0.\nAnswer: -6, -3, 0, 1, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 308673.756 rounded to the nearest ten?\nAnswer: 308670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*w - 4. Let v = -30 - -151\/5. Let i = 2.001 - 0.001. Which is the closest to -0.5? (a) v (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8 and -99\/9369308.\nAnswer: 18738616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*n**2*s**3 - 1650*n**2*s**2 - 8*n*s + 231849*s**3 wrt n.\nAnswer: -4*n*s**3 - 3300*n*s**2 - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3 + 4*d - 4*d + d**2. Suppose 0 = -6*k + 3*k - 24. Let n(s) = 3*s**2 - 8. Calculate k*r(u) + 3*n(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 37*p**2 + 11*p + 411. Let t(g) = 20*g**2 + 6*g + 202. Let i(c) = -5*t(c) + 2*v(c). Find the first derivative of i(j) wrt j.\nAnswer: -52*j - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 4*l**2 - 79908*l + 79904 = 0.\nAnswer: 1, 19976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-2) - -1 - -4. Let g(d) = 0 + 5*d - 8 + f. Let w(l) = 6*l - 3. What is 4*g(q) - 3*w(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, q: 6, j: 4}. Give prob of sequence qy.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 28 = -5*v, 2*v + 5*a - 31587 = -31519 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21121211021201 (base 3) in base 13?\nAnswer: -abacc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38.004 + 38. What is s rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + 90512?\nAnswer: 90505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -744, -660, -570, -474?\n\"Answer: 3*y**2 + 75*y - 822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3825331, 3825350, 3825369, 3825388, 3825407?\nAnswer: 3825426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 862.603 + -861. Let d = -1.3082 + l. Let f = d + -0.3. What is f rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*b + 3*p - p, 3*b = 2*p + 3. Suppose -5*x + b*k = -219 - 54, -5*k = 5. Suppose -8*y + 213 = 69. Calculate the highest common factor of y and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 4*s**3\/9 - 100*s**2\/3 + 248*s\/9 + 1184\/3 = 0.\nAnswer: -3, 4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*w = 10 + 94. Suppose 4*h = 2*h, -w*t = -2*h + 10. Sort -8, 4, t in descending order.\nAnswer: 4, t, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82361\/14 - -5880. Find the common denominator of -27\/16 and y.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71507468371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 133207 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 303*x + 10773 - 4107 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 5137365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 525475421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 5*k = -13, 2*i - 3*k + 5*k = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -38 + 22. Calculate the remainder when 23 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/(-5)*5 + 15 + 2166?\nAnswer: 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6785 - -6893 - (86 + -1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -0.2. Let y = 63352 - 63352.3. What is the closest to y in -3, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -25*s**2 - 11*s + 47. Determine n(3).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -916401 rounded to the nearest 10000?\nAnswer: -920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7061921, -7061939, -7061983, -7062065, -7062197, -7062391?\n\"Answer: -2*a**3 - a**2 - a - 7061917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 0*a - 5*a**2 - 6 - 7*a + 3*a**3 + 2*a. Let s be y(6). Suppose s = -5*h + 4*n + 4, 4 = -6*h + 2*h + 5*n. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30071088.\nAnswer: 2, 3, 23203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8562, 17127, 25688, 34245, 42798?\nAnswer: 51347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*f - 1690, 3*f + 1685 = k - 3*k. Let h = k + 1229. Let u be (-175002)\/7 - (-11)\/(h\/10). Round u to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80558 is divided by 26794?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 0. Let k(w) = w + 12. Let u be k(-9). Suppose f = -4*m + 40, -u*m + 40 = m + 5*f. What is the remainder when m is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*s + 26*s - 11*s)*(s + 3*s - 2*s) + (-5 - s**2 + 5)*(-3 - 4 + 5) - 2*s + 2*s + 2*s**2 in the form t*s**2 + b + n*s and give t.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and -67.11.\nAnswer: 1811.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-10)*q)\/(q\/(q\/q**(-1\/18))*q)*q*(q\/(((q\/((q**4*q)\/q))\/q)\/q)*q)\/q*q**4\/q assuming q is positive.\nAnswer: q**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7761 or 4411?\nAnswer: 7761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jmaaaajrmrj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*j + 2. Let t(a) = -a**2 + 6*a - 6. Let r be t(5). Let d be (20\/j)\/(r\/1710). Round d to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 882506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005388 rounded to seven dps?\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 145 = 4*d + 7*h, 5*d + 3*h - 178 = 0. Let y be (-28)\/d*10\/(-4). Let g(i) = i - 2. Let o be g(5). Solve o*z = z + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 312838479 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5371*a**2 - a - 5320*a**2 + 10741*a**2.\nAnswer: 50*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2390382*g + 14386330?\nAnswer: -2390382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0133176 to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.3*1.1\nAnswer: 3.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 9. Let n = 26 - 28. Let c be i(n). Solve 5*v - c = -3*d, -1 + 6 = 2*d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lflllfldddhawfall. What is prob of sequence aadd?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - c = 12*y - 7, 0 = 5*c - 15. Suppose b + 3 = 4*b. Sort b, y, -4, 3 in increasing order.\nAnswer: -4, b, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 998 - 998.3. What is the nearest to -4\/9 in x, 1, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 41 + 2*c + 78 + 36 as b + x*c and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1136 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17152 and 0.03.\nAnswer: 17152.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 s, and 1 w when four letters picked without replacement from {w: 1, u: 1, j: 2, s: 1, p: 1, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*y = -110 + 134. Let t(f) = -4*f. Let a be t(-4). Suppose 3*b = a - 4. Solve 0 = -3*j - 4 - 5, b*j = -y*k - 10 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2284217 - 4?\nAnswer: 2284213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 29*b**2 - 29*b - 14. What is x(28)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ajjjjjjj. What is prob of sequence jja?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -473*s**8\/336 - s**7\/70 - 2341*s**5\/60 - 319*s**2 + 5. Find the third derivative of x(j) wrt j.\nAnswer: -28380*j**2 - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -182 (c) -4\/7 (d) -3\/94 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = i - 5*v - 12, 4*v = 0. What is the first derivative of 14*w + 13*w + 27 - 7*w + i*w wrt w?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56961915588771600.99999965 + 56961916911104469. Let r = d - 1322332806. Let q = r + -62. Round q to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 + -0.67. Which is the third smallest value? (a) 3 (b) -13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*v - 52*v - 16 = -5*w, 0 = -2*v - w + 6. Which is smaller: 2\/87 or v?\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-7)*574\/164.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 22. Suppose 5*v - 28 = -8. Let b(o) = -o**3 - 3. Let x(s) = -2*s**3 - 5. Give r*b(l) + v*x(l).\nAnswer: -l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159 = 8*p + 5*n, -3*n = 450819*p - 450815*p + 81 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-9)\/12)\/((-11)\/704). Solve j*n - 14 = -158 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11 + -3135327?\nAnswer: -3135340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (74\/(-185))\/((-4)\/(-123745)*4\/(-8)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4742.\nAnswer: 2, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 7*i = -53. Let p = i - -58. Let m be 9*(-2 + 0 + 3). Solve -p*r - g - 16 = 2*g, 0 = -3*g + m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3741 is divided by 745?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:23 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**6\/6 - x**5\/10 + 9*x**3 + 134*x - 110. Let a(m) be the first derivative of d(m). Find the second derivative of a(z) wrt z.\nAnswer: 60*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (223*y + 204*y - 353*y)*(-y**3 - 3*y**3 + 3*y**3) to c*y**4 + q*y**2 + j*y + x + t*y**3 and give c.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28) - (sqrt(28) - (sqrt(252) + -1 + sqrt(252)))))**2.\nAnswer: -600*sqrt(7) + 25225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 106074 (base 9) in base 13?\nAnswer: 22b8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 10*d**2 + d + 12. Let z be 2\/(-10) - 49\/5. Let g = -1 - -2. What is the least common multiple of g and x(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*y - 20*y + 9*y**2)*(-2 + 1 + 3) in the form o + g*y**2 + b*y and give g.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.01, 0.2, -4, -2\/3 in descending order.\nAnswer: 0.2, -0.01, -2\/3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29 (b) 2\/25 (c) 0.65399 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/6*-4*(-36)\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 726 - 731. Let t be 0\/((2 + d)*(-4)\/(-6)). Are t and 2\/833 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 1 = -26. Solve 3*u + 2 = i for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*j + 32 = 0, j + 4 = -3*x - 18. Let h = x + 4. Sort 3, h, 0.\nAnswer: h, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:47 AM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6. Let m(n) = n - 4. Suppose -2*u - 13 = 1. Let q = -13 - u. Let h(t) = q*m(t) + 4*y(t). Let k(d) = -2*d. Give k(h(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(3 + 6\/(-4)). Let o(z) = 5*z + 12. Calculate the remainder when o(6) is divided by (i\/(-3))\/((-12)\/198).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 264, 483, 690, 885, 1068, 1239, 1398?\nAnswer: 1545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 79\/291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -965 (base 11) in base 7?\nAnswer: -3245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 3125290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 2318*n - 2333*n for n.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + 4 + sqrt(272))**2 + -2.\nAnswer: 8*sqrt(17) + 269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1 - 1 + n. Let p(s) = -4*s. Suppose t - 10 = 4*j, 4 = -2*j + 5*j + 5*t. What is j*w(i) - p(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r**(-22)\/r))*r\/r**(2\/27))**(-2\/67) assuming r is positive.\nAnswer: r**(1246\/1809)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + 0 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 475458169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -984834 divided by 642.\nAnswer: -164139\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -416 divided by 402882?\nAnswer: -208\/201441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x + 13*x - 8 = 0, 3*c - 2*x - 20 = -0*x for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -186*d**4 - 2*d**2 - 20 wrt d.\nAnswer: -4464*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**5\/20 + 5*q**4\/12 - q**3\/3 + 5*q**2\/2 - q - 415. Determine w(6).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 123*v**3 - 461*v**2 + 328*v + 13. Calculate w(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246595, 493192, 739789, 986386, 1232983, 1479580?\nAnswer: 1726177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105065*l**6 - 2*l**2 - 8237*l wrt l.\nAnswer: -12607800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 120. Suppose p + 4 = t - 0, 0 = 4*t + 4*p - 16. Let y be (-30)\/4*(-6 + t). Calculate the highest common divisor of m and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021566 times 0.27?\nAnswer: 0.00582282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**15\/h*h)\/h)\/h**7)\/((h\/h**(-34))\/h**(7\/4)) assuming h is positive.\nAnswer: h**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 + 4*s + 1. Let x be a(3). Solve 3*o = x*o + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 + -76. Suppose -3*g + 7*f - 12*f = -194, d*f - 67 = -g. Suppose g = 25*x - 22*x. What is the greatest common divisor of 28 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:23 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + (-1)\/2 - -1. Let w = 65\/288 - 1\/288. Sort -1\/2, w, -0.3, p in ascending order.\nAnswer: p, -1\/2, -0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-3)\/(-6)*-2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of -w**4\/24 - w**3\/6 + 5*w**2 + 7. Let v(q) = -4*q - 15. Let s(a) = -2*u(a) + v(a). Determine s(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*p**2 + 2*p**3 + p - 47*p**2 + 1 in the form s*p + n*p**2 + k + u*p**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1034 + -198015352143\nAnswer: -198015352143.1034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/17 + 2\/17*n**3 - 6\/17*n**2 + 0*n.\nAnswer: 2*(n - 2)**2*(n + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 3 - 1 - (47 + -41)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 bigger than -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 12 = -30*h - 2*n, -5*n = -4*h + 26 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r + 93*r - 60*r.\nAnswer: 37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3337, -3346, -3367, -3406, -3469, -3562, -3691, -3862?\n\"Answer: -q**3 - 2*q - 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 2 + 188*c**3 - 2 - 14*c**3 - c + 0 to l*c + s*c**2 + w*c**3 + a and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -0.8 (c) 0.0332 (d) 0.4 (e) -373\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 838042.6662 rounded to the nearest 100?\nAnswer: 838000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.57198162 to 4 decimal places.\nAnswer: 0.572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2 + 18*s + 13. Let y be a(-8). Calculate the common denominator of (-2)\/7 - (-1101)\/252 and (y\/45)\/(6\/15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 128780 and 5480.\nAnswer: 257560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3198.9 - -3200. Which is greater: 78 or r?\nAnswer: 78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.663029 rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w + 3. Let u be (0 + -3)\/((-9)\/30). What are the prime factors of g(u)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6464)\/(-224) + (-84)\/3)\/((-33)\/(-14)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -280*f - 154. Let x = -5 + 3. Let y(c) = -9*c - 5. Let d(r) = x*l(r) + 63*y(r). Let m(z) = -3*z - 3. Give 2*d(j) - 5*m(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7192177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 + 44*q - 484.\nAnswer: -(q - 22)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 17.9 - 27155154.33\nAnswer: -27155136.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*j + 628 = 0, -646 = -5*v + v - 2*j. Suppose 16*a + 0*a = v. Solve 6*c = a*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -149 + 151. Let a(m) = -6*m + 2. What is a(b)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/8)\/(132\/880))\/(270\/(-6)).\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*o = 5*c - 1, -4*c = -4. Suppose -2*u = -o*j - 2, 5*u - 4*j + 5 - 16 = 0. Suppose -251 = -u*r - 2. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**4 + z**4 + 3*z**4 + (2*z + z - z)*(-1 - 2*z**3 + 1) - 5*z**4 + 3*z**4 + 3*z**4 as c*z**3 + x + v*z**2 + d*z + f*z**4 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 249796*g*h**3*k**3 - 1611*g*h*k + g*h + 2*g*k**3 + 2*h**3 - 7*h**2*k**2 wrt k.\nAnswer: 1498776*g*h**3 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 15\/16 of a centimeter?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1.292117 millennia?\nAnswer: 1292.117","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 6 + 24. Let i(d) = d**3 - 6*d**2 + 2*d - 8. Let f be i(r). Solve -c = -b - 0*c - 8, f*b - 5*c = -35 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-384)\/(-256)*366*(-1)\/(-4)*28\/63.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 6*x**2 - 3*x - 4. Let r be p(-6). What is the highest common divisor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) -0.5 (c) 0.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4\/3, -2, -4, -108\/11, 0.0843?\nAnswer: -108\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 - 4*g**2 + 37*g + 37. Let v be y(-8). What is the third biggest value in 10, -3.1, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n - 1. Let r(z) = 2. Suppose -4*b + 18 = a + 5, 0 = -a - 3*b + 10. Give a*r(v) - d(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 28887 = 5*s, 5*s + l - 14141 = 14748. Suppose -4*u + k + 270227 = -s, 345025 = 5*u - 5*k. Round u to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 82*x**4 - 2250*x**2 + 257515?\nAnswer: 328*x**3 - 4500*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y = -31*y + 10. Solve -y*b = k + 4*k + 10, 5*k + b + 22 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -169*s + 247*s - 3 + 2 + 226*s as q*s + d and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -3*a + 5*a - 17, -4*v - 32 = 12608*a - 12613*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3217226925 and 2350.\nAnswer: 3217229275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163419.\nAnswer: 3, 19, 47, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 7865*q. Let c(v) = 9*v. Determine u(c(t)).\nAnswer: -81*t**2 - 70785*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -742 + 807. What are the prime factors of d?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**2 + 4*s - 9. Is x(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 50*j**2 + 21399*j - 421. Calculate d(-428).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 456288\/(-35308) + 12\/13 + -1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 + -49300b?\nAnswer: -49304b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w - 12 = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -4 (c) 34 (d) 3 (e) -1693\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 3*x - 2*x - 4*x. Which is the nearest to -0.9? (a) -2\/11 (b) -0.5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + d + 100. Let l(w) = 14 + 63*w**2 + d - 26. Let q(m) = -m. Determine l(q(y)).\nAnswer: 63*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -168 divided by 6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/78 + -1 - (-2)\/13.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 - 2*v**3 + 5*v**3 - 2*v**2 - 7*v + 3. Let h(p) = -7*p**3 + 8*p**2 + 15*p - 7. Let l(j) = -2*h(j) - 5*t(j). List the prime factors of l(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95 and 4.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71143*c + 71147*c = 48 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/(-4) + 3*3. Suppose y*z - 2*c - 225 = 241, -5*c = 3*z - 292. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 e when two letters picked without replacement from {t: 1, e: 4, p: 4, x: 1}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -2 - (-891)\/(-396).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43\/21 + 5183\/84. Let c be 2\/6 - 191\/(-3). Let w = c - d. Is 0 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 5*y - 24, b + 3 = 2*y - 0. Suppose 4*u + 0*u = -4*g, 16 = -g + y*u. Let d = g + 4. Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6714.825 litres?\nAnswer: 6714825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -23. Let l(y) = -y**2 + 14*y - 8. Let h be l(13). Suppose -5*s + 6 = 4*o, 0*o - 22 = -3*o + h*s. Solve -j*n = -0*n + o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 940 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 15*v = 1714, 4*o + 11*v + 15 + 16 = 10*v - 75 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2 = -j - 3, 4*u - j = 5. Solve u = 2*s - 7*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjuu when four letters picked without replacement from jabcucuccucbucc?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5338842 - 1.21\nAnswer: -5338843.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -728343*q**4 - 77671*q + 3.\nAnswer: -8740116*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 70*d**2 + 1.\nAnswer: 70*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10 = 2*h, 2*h = -4*x + 17 - 3. Let k be (-6)\/h*25\/(-30). What is the fourth smallest value in 2\/7, -0.1, 0.3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.5, -1038\/19, -1, 2\/7, 0 in increasing order.\nAnswer: -1038\/19, -1, -0.5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -475, -540, -605, -670?\nAnswer: -735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + i + 20 = 0, i = 5*m + 4 + 24. Let p(b) = -10*b + 24. Let v be p(m). Let d = -85 + 295. Calculate the greatest common divisor of d and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8295 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222*f = 1345 - 436 + 1311 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 1 i when three letters picked without replacement from {p: 4, i: 3, a: 4}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 - (-50)\/(-35) - (45\/35)\/(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*a - 2 = 0. Let o(u) = u**3 - 1 - u - 2*u + 0*u**3 + u**a. Give o(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 259 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -784 + 821. Is f at least -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0)**(-1\/7)*b**4\/b**(-1)*b**(-8)*b**5*b**(2\/9)\/b**9 assuming b is positive.\nAnswer: b**(-61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 7. Let w(l) = -l + 1. Let i(x) = 5*x - 4. Let a(z) = 2*i(z) + 11*w(z). What is 13*a(h) - 6*r(h)?\nAnswer: -h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -14\/2629 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285301, -285264, -285227?\nAnswer: -285190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625056 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five halves of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 7. Suppose -5*l = -4*m + 52, l = 3*m + 2*l - 20. Let x = m - y. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1490*l - 48 - 1492*l - 74)*(821*l**2 + 12*l**3 - 821*l**2).\nAnswer: -24*l**4 - 1464*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from ezmfl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 20 = 0, 16 = 2*t + 16*b - 20*b. Let q = 0.4 - 0.2. What is the nearest to -2 in t, q, 1.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6674664, 6674663, 6674668, 6674685, 6674720?\n\"Answer: d**3 - 3*d**2 + d + 6674665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16720 and 112160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 1 - (-59982)\/6. Let r = 17339 - b. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*f**3 + 4*f**2 - 7769*f + 2418981 wrt f.\nAnswer: -33*f**2 + 8*f - 7769","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -559459*a**2 + 37074389?\nAnswer: -1118918*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*n**2 + 5*n**2 + 2*n**3)*(0 + 3 - 1 - 1 + 0 + 2 + (0 + 2 - 1)*(-2 - 1 + 4) - 1 + 1 + 6).\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -234, -339, -424, -483?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 14 = -0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.043 + 0.143. Is 3 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80494.\nAnswer: 2, 167, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (220\/30 - 7)*(1 + 3). Solve -t - 10\/3*g**2 - 14\/3*g = 0 for g.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -107923 + -0.5.\nAnswer: -107923.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(4\/5))\/t**3)**25 assuming t is positive.\nAnswer: t**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4165867 divided by 4165867.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3544 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 571052 a multiple of 367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6383426 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 345\/5*(-3 - -2). Let y = 111 + b. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5076, 10004, 14826, 19542, 24152?\nAnswer: 28656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -95, -195, -331?\n\"Answer: -18*n**2 - 10*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r**2 + 6*r**2 + 2*r**2)*(-r + 1 - r + 4*r) to i + b*r**2 + y*r**3 + t*r and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11122 (base 3) in base 7?\nAnswer: -236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*t - 30*t - 1 + 2 to z*t + w and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(16\/112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 2 + -3 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.077659ml?\nAnswer: 0.002077659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 16. Let m = z - 0. Sort 0.6, m, 2\/21 in ascending order.\nAnswer: 2\/21, 0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m + 2*o - 128, 3*m = 3*o + 78. Suppose j + 14 = 3*q + 35, 5*j - 40 = 2*q. What is the smallest common multiple of m and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482.375 - -0.625. Let w = 551 - h. Sort 4\/7, 0.4, w in increasing order.\nAnswer: 0.4, 4\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 PM and 4:09 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 5*z + 7. Let p be s(-3). Solve -g + p - 6 = 4*q, 15 = -3*g - 3*q for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 81*w**5 + 0*w - w - 4*w - 3*w**2 - 39*w**5 - 4*w**2 wrt w?\nAnswer: 2520*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 7*c**3 + 4*c**2 - 2*c + 5. Let r(b) = -6*b**3 - 3*b**2 + 2*b - 4. Let h(w) = -6*r(w) - 5*y(w). Let m be h(-1). Which is smaller: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2) - -2)*2. Let p(l) = -l**2 + 5*l - 2. Let g be p(13). Let f = g - -1805\/17. Is f at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z + 1 + 7 - 5*z)*(2*z**2 - 2 + 2 + (0*z + 2*z**2 + 0*z)*(1 - 2 + 3)).\nAnswer: 6*z**3 + 48*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 14*w**3\/3 - 4*w**2 - 1. Let p(d) = 5*d**2 - 3*d. Suppose -2*f + 34 = 6*m - m, 2*m + 2*f = 10. Determine m*p(j) - 3*q(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**7\/168 + s**6\/8 - s**5\/40 - 5*s**4\/8 + s**3\/24 + 15*s**2\/8 - 3*s + 67. Let w(v) = 0. Calculate v.\nAnswer: -15, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sod when three letters picked without replacement from {s: 1, d: 1, o: 5, u: 1, k: 3}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20995038 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129377041*l - 16*l**2 + 19*l**2 + 129377041*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25848? (a) 3\/4 (b) 0 (c) -0.098 (d) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**4 - 4*f**4 - 3*f**4 + (-2*f**3 + f**2 - f**2)*(2 - 2*f - 2) to the form b + m*f + g*f**3 + x*f**2 + s*f**4 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -r + 11. Suppose 4*s - 87 = 3*h, -5*s = h - 102 + 17. Calculate the lowest common multiple of s and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486*i - 486*i + 25*i**2)*(-3*i**3 - 243 + 243 - 2*i**2).\nAnswer: -75*i**5 - 50*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.35 + 0.26. Is -1\/2 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 2*x + 3. Let w be 10 + -5 - 1\/(-1). Suppose w + 4 = 5*q. Let o be f(q). Which is the second smallest value? (a) 0.1 (b) o (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 117\/(-30))*(-40)\/24. Let u = 12 + -10. What is the nearest to 2 in m, -20, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 10*o. Let s(y) be the first derivative of 11*y**2\/2 + 66. Give a(s(n)).\nAnswer: 110*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-230)\/(-630) - 7\/49?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -7*t**6\/30 - 2*t**2 + 2*t + 3. Let d(s) be the first derivative of r(s). What is the derivative of d(u) wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6405753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4*x - 4, 5 = 5*r - 10*r + 5*x. Suppose r*l = l - 122. List the prime factors of l.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 4. Let h(c) = 4*c**2 - 5*c - 15. Let j(u) = 3*u**2 - 4*u - 13. Let l(t) = -4*h(t) + 5*j(t). Determine -5*a(z) - 4*l(z).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**4\/54 - 10*t**3\/27 + 2*t - 6. Factor x(f).\nAnswer: 2*f*(f - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 11 = -363*c + 362*c, 3*c = -12*l + 45 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176 is divided by 61?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/8 and -32\/3301?\nAnswer: 26408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 84 = 39 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**7\/105 + 13*f**6\/120 + f**4\/8 + f**3\/2 - 140*f**2. Find the second derivative of c(u) wrt u.\nAnswer: -24*u**2 + 78*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22323, -44655, -66991, -89331, -111675, -134023?\n\"Answer: -2*v**2 - 22326*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74066 and 416266.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4675 - 3891. What is the highest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7895 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 798023, 1596039, 2394055, 3192071, 3990087, 4788103?\n\"Answer: 798016*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 + 50. Suppose -4 = -p*l + 7*a - 3*a, -a = 2*l + 1. Let x(g) = -g + 2. Give x(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18175 - 15626. What is the remainder when u is divided by 318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -21 - -4?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**5\/19 + 92*h**4\/19 - 94*h**3\/19 = 0 for h.\nAnswer: -47, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/320 and 47\/880?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-799)\/51 + 16 - (-6)\/2)*6. Solve -5 = a + 2*s, a + 100*s - i = 103*s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*y, 16 = 2*c - 3*y + 4*y. Let h = 121 + -115. What is the first derivative of h*u - 1 - c*u + 4*u**2 wrt u?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 284*f**2 + 61109*f - 61109*f + (f + 0*f + f)*(0 + 0 - 2*f) + 0*f**2 - 3*f**2 + 5*f**2 + 3*f**2 - 6*f**2 + 0*f**2.\nAnswer: 279*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 957843758 to the nearest integer?\nAnswer: 30949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwm when three letters picked without replacement from {w: 8, m: 5}?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywy when three letters picked without replacement from {w: 2, y: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 227*p - 49. Is v(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.488 - -0.538. Suppose 5*u + 4 = -3*w, 2*u = 2*w + 3*u + 5. Let f = 20 - 59\/3. Which is the smallest value? (a) i (b) w (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 2*q**2 - 145. Let k(t) = 26*t. Determine k(z(l)).\nAnswer: 104*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a**2 + 7*a - 7. Suppose 1033 = 13*u + 383. Suppose -5*h + u = -4*o, -2*o = 3*h + 2*o - 30. What is the remainder when r(-6) is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 754, 3063, 6906, 12277, 19170, 27579, 37498?\n\"Answer: -h**3 + 773*h**2 - 3*h - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59430, -15, -3, -5 in decreasing order.\nAnswer: -3, -5, -15, -59430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.029509 and 0.9314?\nAnswer: -0.0274846826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55 * 777.614.\nAnswer: -42768.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8032 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 236771178 a multiple of 768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68182842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -975 - 105 = -252*a - 288*a. Find b, given that 25 + 9\/2*b**3 - 45*b + 61\/4*b**a + 1\/4*b**4 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233837 a multiple of 457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**2 + 2*s. Let l be w(3). Let a = -5 - -5. Let p be a\/(3\/(l\/4)). Solve p*o - 20 = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-252)\/(-8) + (-4)\/(-8). Suppose 14*b - 3*g = 9*b + z, 0 = 5*b + g - 16. Solve -4*n - b = -3*x + 7, 3 = -2*n + x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15042762 to the power of 1\/2, to the nearest integer?\nAnswer: 3878","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 - -2 - 6)*20\/30. Let i = 6 - 8. Let b be (-1)\/i*0 - -5. Is y >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = 4*u - 3*h, 0 = 2*u - 2*h + 103739 - 103845 for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttzcc. Give prob of sequence tcz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1267 + 3458. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 9*d + 5*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 875 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6386267887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 3:48 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x - 14. Let w(r) = 21*r - 5. Let c be w(1). Let p be 18\/4 + -4 + (-88)\/c. Calculate j(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*r + 33, 5*r + 3*u - 1 - 50 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t + 4. Let s(r) = -1. Let u(q) = -4*p(q) - 8*s(q). What is the first derivative of u(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 2*i + 4*i + (-4 + 0 + 3)*(-3*i + i + 3*i))*(2*i - 2 + 2 + (-5*i + 0*i + 4*i)*(3 + 3 - 5) - i - 2*i - 2*i).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11221 + 212?\nAnswer: -11002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 106, 3\/17, 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 301471 - 301471.0227261. Let d = o + 0.0227. Round d to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -6 (b) 3 (c) 0.5 (d) -2\/7 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16654.457 rounded to the nearest one hundred?\nAnswer: -16700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*b**3*p + 120*b*p + 31125*p - 2 wrt b.\nAnswer: 396*b**2*p + 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154 + j - 5*j + 2*j - 161.\nAnswer: -2*j - 315","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/114 + (-7772)\/(-33060).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5692128283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - 28) + 3 + -1 + -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 62. Let v = -21 - b. Calculate the greatest common factor of 10 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 + -5 + (33 - 27) + -8 + -6.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - -21. List the prime factors of z.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 537\/152 + -23259\/4712. Find the common denominator of 75\/128 and v.\nAnswer: 3968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 2*i)*(3*i + 0*i - 2*i) + 236*i**2 + 6626 - 6626)*(1 + 1 - 4).\nAnswer: -476*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 8:59 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277862299?\nAnswer: 11, 13, 1943093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 415.8175 micrometers in millimeters?\nAnswer: 0.4158175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4197\/4873 + -10026499\/19019319. Let w = t + -1\/1301. Suppose -7 - 8 = -3*m. What is the smallest value in w, -6, m?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6319981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -15*n**2 + 2*n + 17. Let b(o) = 7*o**2 - 8 - 4*o + 5*o - 2*o. Let t(l) = -13*l. Let p be t(-1). What is p*b(q) + 6*w(q)?\nAnswer: q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 136.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 3:29 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*s + 7*s = 27. Let f be (s*(-5)\/(-45))\/(2\/(-102)). Find the first derivative of 21 - 17*v + 24*v - f*v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of -7*c**6\/240 - c**5\/120 + c**4\/12 - c**3 - c**2 + 90. Let s(i) be the second derivative of o(i). Give s(-1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2820321?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*k = 31, 0*k + 5*k - 19 = 3*z. Suppose 3 = -z*g - 3. What is the smallest value in -0.5, 5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24\/185 - -281\/740. Let w = -32\/3 - -11. What is the closest to k in -3, w, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 6. Let z = -2.09 - -0.09. Let k = l + z. Which is the smallest value? (a) -0.4 (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1559026 (base 11) in base 6?\nAnswer: -133020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -973123 or -973124?\nAnswer: -973123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 5. Let s(n) = 336*n - 5 - 655*n + 315*n. Determine -6*l(x) + 5*s(x).\nAnswer: -2*x + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 6. Let p(s) be the third derivative of -s**5\/30 + s**3\/3 + 52*s**2 - s. What is p(c)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-5)*(-9)\/((-108)\/(-40)). Suppose -5*k + o*j + 123 = -260, -2*j = -3*k + 231. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in -1\/4, 62, -2, 2\/7, 2\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200 = -6*v + v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 4*s**7\/105 - 7*s**5\/20 - 415*s**3\/6 + 795*s**2 - 2. Find the first derivative of g(u) wrt u.\nAnswer: 32*u**3 - 42*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -44?\nAnswer: -13\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**3 + 398*u**2 + 1041*u + 127. Let y be f(-130). Let w(o) = o**3 + o**2 + o + 1. Let n be w(-1). Let h = n - 0. Put y, -2, h in increasing order.\nAnswer: y, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*s - 7. Suppose 4*f - 3*c - 3 + 7 = 0, 2*f + 4*c = -2. Let d = f - -5. Solve 2*r = -2*n - 4, 0 = 2*n + d*r - r + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -42, -63, -86, -111?\n\"Answer: -g**2 - 16*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-17 + 157\/7)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/7528 and -87\/1882.\nAnswer: 7528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108329857.\nAnswer: 43, 83, 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 34. Let f = p + -2. Suppose f = -7*v - 2 + 23. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 PM and 3:11 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**3 - 5 - k + 6 - 2*k**3 + 3*k. Is 2 a factor of g(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 11*q - 9*q + 3 to the form x + f*q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 45470 = -36*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 311 + 0?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 bigger than 1464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 20 = 0, -4*n + 82*m + 164 = 77*m. Calculate the least common multiple of n and 732.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -6. Let g be (j - -6)*(-2)\/(-4). Determine x, given that -1\/4*x**2 + 0 - 1\/4*x**4 + 1\/2*x**3 + g*x = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2521 - 2520.99998644. Round r to 6 decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*i**3 + 12*i**3 - 42*i**3 + 15*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of 0*r - 1\/6*r**3 + 3*r**2 + 1\/16*r**4 + 1\/420*r**7 + 1\/120*r**5 + 0 - 1\/80*r**6. Solve y(w) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 407 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -4, 35, -740 in descending order.\nAnswer: 35, 2, -2, -4, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6\/5)*k**(-5\/3))\/(k*k\/(k**(-7)\/k))**(13\/2) assuming k is positive.\nAnswer: k**(-1018\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2 = 5*b, 5 - 3 = 2*v + 2*b. Differentiate 11 + g**2 - v + 36*g**2 + g**2 with respect to g.\nAnswer: 76*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4)**20\/(y**35)**(-42) assuming y is positive.\nAnswer: y**1550","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 42805857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 - -50. Suppose -2*q - y + a = -4*y, -3*y + 276 = 2*q. 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 nearest to 73\/63 in -0.3, -0.1, -0.2, -1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -786500 divided by 110\nAnswer: -7150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + -5. Let n be 2 + 1 + h\/3. Let c be 2*n\/6 + -3. Put 0.5, c, -1\/3 in descending order.\nAnswer: 0.5, -1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and 73\/375282.\nAnswer: 1501128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 1646*v - 606434. Give k(-557).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**3\/2 + 633405*f**2\/2 + 190946295*f\/2 + 14407837895\/2 = 0. Calculate f.\nAnswer: -126379, -151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 - 3*i + 3*i + (-3*i**2 - i**2 + i**2)*(4 - 4 + i**3) + i**5 - 2 + 2.\nAnswer: -4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 956*y**2 + 87050*y - 87050*y + 2138*y**2 - y + y + 2*y**2 + (-4*y + 6*y - y)*(y - 1 + 1).\nAnswer: 3097*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2312333435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -505*0.22.\nAnswer: -111.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6789617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -264? (a) -0.01 (b) -6 (c) 11\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3) - (-11 - (-320)\/60).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33489711665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from attttaattththttttth. What is prob of sequence aa?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/21 in 3\/31, -2, 3, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3848\/168 + -23)\/(2\/14)*(-6)\/14.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48238 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/3020315 and 49\/220.\nAnswer: 132893860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4349099 is divided by 2850?\nAnswer: 2849","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -19.35, -1\/2, 301?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24557109889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19369a56 - -2?\nAnswer: -19369a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222231313 (base 6) to base 2.\nAnswer: 1111011000011010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -10*h**2 + h + 8. Determine q(-2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11421\/4 - -2855. Is -1.723 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = a, 4*a - a + 4*u = 2. Suppose -a*l - 95 = -7*l. Let j = l + -7. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21555 is divided by 1347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -712, -2845, -6396, -11365, -17752?\n\"Answer: -709*s**2 - 6*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 983.9406 to the nearest integer.\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.59, -152.\nAnswer: -152, -6, -0.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 27144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 89, 93, 97, 101, 105, 109?\n\"Answer: 4*q + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.86 - -5.78064. Let q = j - -0.08. What is q rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -14. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - d - 44, 5*i + 4*d - 7 = 27. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34306 - 7291 = -19*s + 17949. What is the greatest common divisor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, -1, -7 in decreasing order.\nAnswer: -1, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 44 + 7 = -4*r, 3*r = 3*y - 51. Suppose -5*l - y = 2*u, 4*u - 5*l - 35 = -u. Find the first derivative of 3 + k**4 - 2*k**4 - u + 2*k**4 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1496 = 158*l - 154*l. Is 17 a factor of ((-3)\/(-3))\/(2\/l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2997970505 by -4.\nAnswer: -2997970505\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 466417\/17259 - 892\/33. Is 2\/9 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2082 a factor of 96602718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*x = -181*x - 3328 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13355, -13488, -13619, -13748, -13875?\nAnswer: -14000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 0*z + 22. Let d(m) be the third derivative of m**5\/60 - 5*m**4\/24 + m**3\/6 + 3*m**2. What is the lowest common multiple of z and d(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 31. What is v(-20)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94919, -189841, -284763?\nAnswer: -379685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**7\/q**(4\/9))\/(q\/q**(-5\/3)*q**(-1\/3)))\/((q\/q**8)\/q**(-1\/4)*q**4*q*q*q**(-2\/5)) assuming q is positive.\nAnswer: q**(967\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kd when two letters picked without replacement from pfkdtdd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/(7 - 12))\/((-1)\/(-7)))\/3?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31775\/57 < -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**3 + b + 1 + 13*b**3 - 2*b**3 + 14*b**4 in the form d*b**2 + m*b + z + n*b**3 + l*b**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-27)*y))\/(y\/((y\/(y*y**16))\/y))*y**(-2\/45)\/y**6 assuming y is positive.\nAnswer: y**(-2342\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226564025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*z + 0*z - 5 = 0, -2*z - 25 = -5*c. Solve 0 = -c*m - 1 - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6871904?\nAnswer: 2, 13, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 164260*y**2 + 8531380*y + 110864000.\nAnswer: 5*(y + 26)**2*(y + 32800)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/5*(110\/30 + -2).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 8) in base 3?\nAnswer: -210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 49, 68, 91, 118, 149, 184?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 53*t - 3457. Calculate a(38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*(-48 - -46)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-20))\/((-2)\/40). Let d = n - -8. Suppose -5*l - 324 + 889 = d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 3*g + 260 - 204 = 0, -g = -5*h + 34 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i + 9. Let c(z) = z + 5. Let s(h) = -5*c(h) + 3*p(h). Let o be s(0). Let m = -12 - -17. Solve -m*l + 15 = -o*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 6. Let n = 72 - 73. Let v(t) = -1. Calculate n*s(g) - 4*v(g).\nAnswer: -g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -3*p - 3, -5*p + 2*p - 7 = l. Suppose 5*r + 4*a + 0 - 10 = 0, 0 = -l*a. What is the second derivative of -4*c + 2*c + c**r + c wrt c?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1468194.\nAnswer: 2, 3, 7, 13, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 PM and 5:59 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*x**5 - 67*x**4 + 29*x**2 - 1.\nAnswer: -600*x**2 - 1608*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -4660554?\nAnswer: -4660532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1108018?\nAnswer: 2, 53, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 + -9?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 7:32 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83697.98g to nanograms.\nAnswer: 83697980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/((-10)\/15*-3). Let h = -26 - o. Suppose -4*y = -4*g - h*y + 181, g - 3*y = 37. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:49 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01097 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -17842?\nAnswer: -17842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296 minus -0.1?\nAnswer: 0.0704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.606 + -0.066. Let b = -0.864 + t. Round b to two dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 1866*d - 359275. Calculate m(218).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3) + (11 - 5 - 4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnj when three letters picked without replacement from {n: 3, f: 4, j: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-6*(-2 + sqrt(108) - sqrt(108)) + 2*sqrt(108) + 4)*-1 + 0))**2.\nAnswer: 13824*sqrt(3) + 24768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Is 14023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.0481.\nAnswer: -0.0481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25*((-4)\/(-5))\/(-6*4\/12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 552779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18470, -36883, -55302, -73721, -92134, -110535?\nAnswer: -128918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42988, -42981, -42974, -42967, -42960?\nAnswer: -42953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -102223011001 (base 4) in base 13?\nAnswer: -1025098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 7*c - 17. Let s(r) = 6*r - 18. Let b(z) = 4*s(z) - 3*t(z). Let w be b(9). Sort -3, w, -1.\nAnswer: -3, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000403815 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 3*b - 179, -11*t - 2*b + 174 = -7*t. Is t not equal to 41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3224*o = 3232*o + 40 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37506 - 0.2686005.\nAnswer: -37506.2686005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 + 4*w - w + 2*w**3 + 4*w**4 - 4*w + 3 as t*w + k*w**3 + c + x*w**2 + m*w**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/9 + -2)*(-6 + 1). Let m(s) be the first derivative of s**4\/4 + 4*s**3\/3 - 5*s**2\/2 + 3*s + 1. What is m(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + o)*(9 - 4 + 0)*((0 - 1 - 3)*(1 - 4 - 4) + 2 + 1 - 1).\nAnswer: 150*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -245467 smaller than -370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/(-1*(3 - 1)). Suppose 0*o - 7*o + 14 = g. Solve -n - o*n - 15 = -3*p, 2*n - 8 = -4*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 0*l**2 + 2*l**2 - 18 + 1001*l + 5185*l.\nAnswer: 2*l**2 + 6186*l - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(567)*-2 - sqrt(567)))**2 - (-1*sqrt(448) - -3*1*sqrt(7)).\nAnswer: 113*sqrt(7) + 5107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*t - 95*t + 126 = 846. Suppose -4*u + 5*u - 40 = 0. Calculate the highest common factor of t and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = 0. Let u(k) = k**3 + 5*k**2 - 6*k + 2. Let t be u(-6). Suppose -3*n + 2*n = -t. Solve -2*r + a + 3 = 0, r - 4*a - 14 + n = g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5127 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -5*u**2 + 196*u - 195. What is b(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (64*s - 88*s - 184*s)*(4*s - 4*s - 2*s**3) - 29 - 42*s**4 + 29 to the form m + u*s**2 + v*s + n*s**4 + b*s**3 and give n.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, j: 3}. What is prob of sequence zzzj?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 1 = -29. Let m be 160\/(-560) - (1774\/14 - 1). Calculate the remainder when (-151)\/(-9) - 28\/m is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 1:23 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.978 times 551\nAnswer: -538.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 5*u**2 - 80*u + 79. Let t be d(15). Suppose 4*y + 5*k = -8, k - 4 = 2*y + 6*k. Put t, 3, y in decreasing order.\nAnswer: t, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/4540 and 77\/80.\nAnswer: 18160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 9*o - 28. Let r(z) = 5*z - 24. Let h be r(o). Find the third derivative of h*j**2 + 12*j**6 - 30*j**2 - 27*j**6 - 15*j**6 wrt j.\nAnswer: -3600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1386589097 to the nearest integer?\nAnswer: 1115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70162 (base 8) to base 16.\nAnswer: 7072","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 8, 1\/24, -418, -4?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 37*h**2 + 57*h + 73. Let a be y(39). Let i = 1105 - a. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5388388, 5388473, 5388548, 5388607, 5388644, 5388653, 5388628?\nAnswer: 5388563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*r. Suppose r = -3*h + 2*h + 9. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1922*t**3 + 2*t**2 - 2*t**2 + 1932*t**3 - 3862*t**3.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -570 - -6258\/11. Let m = -14\/33 - k. Suppose m*q**5 + 2\/3*q**2 + 4\/3*q - 2*q**3 - 2\/3*q**4 + 0 = 0. What is q?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234035129.\nAnswer: 234035129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27cc (base 16) in base 9?\nAnswer: 14870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10102?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + -13. Let z = 6 - k. Suppose z*f = -f. Sort f, 3, -3.\nAnswer: -3, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 - 90*n + 1100 = 0 for n.\nAnswer: -55, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 - (16 - (37 + -27)) - -35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 436, -4, 1220?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1.8. Let r = 1.1 + p. Let d = r - 0.4. Which is the third smallest value? (a) -1 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -36. Suppose -2*y + 6 = -10. What is the least common multiple of (-4)\/(-12)*-1*i and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b + 0*b - b)*(502516 - 8*b - b**3 - 502513 + 2*b).\nAnswer: -b**4 - 6*b**2 + 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 13*q**2 + 8*q - 3. Let m be w(7). Calculate the highest common factor of 40 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**5\/60 - j**4\/12 + 79*j**3 - 3*j**2 + 14. Calculate the remainder when k(0) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15327)\/(-273) + (-6)\/(-7). Suppose c - k = z, c + 3*k - 22 = 55. Calculate the least common multiple of 20 and c.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 17*w - 3. Calculate f(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483*j = 479*j + 24. Solve -1 = -4*y + 2*f - 5*f, -2*y + j = -4*f for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15016769 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of -667*m**8\/84 - 397*m**5\/20 - 1392*m**2. Find the third derivative of b(t) wrt t.\nAnswer: -160080*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, 1\/3, 8 in decreasing order.\nAnswer: 8, 1\/3, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 1, y: 2, v: 2, x: 1, g: 1}. Give prob of picking 1 v and 1 y.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 5*y + 17. Let a be u(-7). Suppose 36 + 216 = a*h. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y**2 - 12*y - 18*y**2 - y + 7*y**2 to d*y + r + a*y**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = 4*f + 74, 1462*s = -5*f + 1458*s - 93 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 637555*g. Let f(k) = -484*k. Determine n(f(q)).\nAnswer: -308576620*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(54\/(-3))*9\/(-9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 434111\/52 or 8347?\nAnswer: 8347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/6, -1\/5, 3, -0.11, 0.06?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11673753 and 6670716?\nAnswer: 46695012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 40 (b) 5 (c) 1 (d) -5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -43, -0.1, -1\/8 in decreasing order.\nAnswer: 0, -0.1, -1\/8, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/2*-2*-5. Let s = 6.1 + -6. Let d = -66 + 70. Which is the second biggest value? (a) s (b) q (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121 a factor of 1114087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(294)*-1 - sqrt(294))\/(sqrt(3) + (sqrt(3) - (sqrt(432) + sqrt(432) + sqrt(432) + (sqrt(432) - -4*sqrt(432)))) + sqrt(3)))**2)*-6.\nAnswer: 1568\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7211743 (base 9) to base 13.\nAnswer: -a487b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4314520 (base 6) to base 15\nAnswer: 42d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*s - 1 + 1)*(-2*s - 2*s + 2*s) - 107 + 24*s**2 + 107 + (s**2 + 7*s**2 - 4*s**2)*(6 - 4 - 3) + (0*s - 2*s + 3*s)*(-2 + 2 + s))*(-8*s + 0*s + s).\nAnswer: -189*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 16252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 60*r - 11 + 4 - 3 - 42*r. Let u be v(3). Let z = 53 - u. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/155)\/(2\/10)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 284913*f + 985153?\nAnswer: 284913","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(70)*1)\/sqrt(5))\/(sqrt(2) - 4*sqrt(8)\/sqrt(4)) + 1*sqrt(56)\/(-1*sqrt(288)))**2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*y**2 - 163*y**2 - 106 + 106.\nAnswer: -227*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15457796 by 3864449.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 - i**2 + 11*i + 6. What are the prime factors of b(-5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2 + (-3 + 0 + 5)*(0 + 1 + 0))*(g - 10 + 10).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - 2*f + 0*f)*(2 - 1 - 2) - 56*f + 19*f - 41*f.\nAnswer: -79*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -36*i**2 - 3*i + 83. Let r = -153 - -156. Let h(c) = c**2 + c - 2. Let p(a) = r*h(a) + n(a). Find the first derivative of p(f) wrt f.\nAnswer: -66*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 4*l**2 - 2*l + 3. Let m(h) = -3*h**3 - 6*h**2 - 3*h - 3. Let y be m(-4). Let a = 108 - y. Calculate t(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**3 + 13*b**3 - 2*b - 3*b**2 + 2*b**2 + 0*b**2 to k*b + g + n*b**2 + r*b**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 2. Let a(m) = -8*m**2 + 9*m**2 - 2*m**2. Let g(s) = -6*a(s) - h(s). Find the first derivative of g(w) wrt w.\nAnswer: 8*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Suppose -4*a - 3*l = -9, 4*a - l = r*a - 5. Let i = -11 + 7. What is the smallest value in i, a, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -99 + 59 + -62.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -34.5?\nAnswer: 30.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49036 and 3730232?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 5. Which is smaller: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6789 + 6792. Which is the second smallest value? (a) 1380 (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84a (base 15) to base 5.\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891980214?\nAnswer: 2, 3, 148663369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*r + 10. Find o such that 20*o - o**4 - 8 - 166*o**2 + r*o**3 + 289*o**2 - 141*o**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + (-9 - (-120)\/36)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 + s - 3. Let m be x(7). Solve -2*l + 6 = -m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*m = 21, -12*m + 10*m = -g - 6. Solve l = -g, 20*i - 4*l = 18*i + 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**3 + 6*p**2 - 9*p = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 8*z - 4. Suppose -3*j - 6 = m + 11, -4*m - 44 = 4*j. Let a be r(m). What is the units digit of -1 - (a*1 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -1, -114681 in descending order.\nAnswer: 4, -1, -10, -114681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 13*v**2 + 1\/2*v**6 - 27\/5*v**5 - 4*v + 64 + 0*v**3 + 0*v**4. What is the second derivative of n(z) wrt z?\nAnswer: 60*z**3 - 324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(2*sqrt(5) + sqrt(5)))**2 + 1 + sqrt(176).\nAnswer: 20\/9 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2839 + -2767. Suppose 5*t = 62 + 28. Calculate the highest common factor of t and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, e: 1, t: 7, h: 1}. What is prob of sequence tek?\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to -262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/3 in 0.05, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a**2 + a**2 - 4*a**2)*(14*a**2 - 14*a**2 - 17*a**3) + 2*a**5 + 2*a**5 - 5*a**5 + (3*a - 6*a + 0*a)*(-a**4 + 3 - 3).\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(6 - 3) + (-11 - -12)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 16 = 2*y - r, 0 = -5*y + 5*r - 20. Let s = -0.032 + -0.368. Sort y, 7, -0.5, s in ascending order.\nAnswer: y, -0.5, s, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 20*c**2 - c - 27. Let l be i(-20). Let d(y) = -y - 13. Calculate d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -249 + 246. Suppose -32 + 356 = -3*p. Let a be (p\/y)\/(-4)*-1 + -1. Solve 5*s + 29 = 4*i, -s - a = -0*i - 3*i for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 103*q - 2466. Let w(m) = -m**3 - 4*m**2 + 3*m - 3. What is the remainder when g(39) is divided by w(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43638048 by 1818252.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + j**2 - j**2)*(-468 + 2413*j + 943 - 473 - 253*j).\nAnswer: 2160*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7\/5, 6, -0.03, -1\/6, -2\/5, -1217?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**5 + 5635*q**4 - 244*q**3 - 6987271*q**2 wrt q?\nAnswer: -120*q**2 + 135240*q - 1464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 82*h - 7472. What is l(-88)?\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*((-120)\/(-16) - 8).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -158223\/5, -6, -0.3?\nAnswer: -158223\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1955485.\nAnswer: 5, 7, 55871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/3 (b) -2\/11 (c) 5\/26 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((1 - 29) + 10)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-243)*18 - (-5)\/(45\/7). Let i be 67\/51 + (-2 - -1). Is i equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -2*w**3 - 2*w**2 - w + 3. Let b be g(-2). Suppose 5*p - b*p = -400. Calculate the smallest common multiple of p and 12.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(2\/7))\/(c*((c**(-1\/3)\/c)\/c)\/c))\/(c\/c**(18\/11)*c**30) assuming c is positive.\nAnswer: c**(-6079\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 11481?\nAnswer: -2296.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104609534.42695 - -11.\nAnswer: -104609523.42695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*o + 93*o - 32 = 0. Find l, given that o + 51*l**4 + 15*l**2 + 219*l**4 + 60*l + 19*l**4 + 142*l**2 - 510*l**3 = 0.\nAnswer: -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*s**3 + 894 - 894)*(2 + 0 - 1 + (1 + 1 - 3)*(0 - 1 - 1)).\nAnswer: -75*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1785b74 (base 12) to base 13.\nAnswer: -10291a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 3*v = 1738 + 1710, f - 862 = 2*v. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {g: 6, v: 5, q: 1, e: 7}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 f when three letters picked without replacement from {l: 5, f: 1, y: 7}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 11*t**2 + 9*t - 14. Let u be q(-10). Let l be (-2 - u)\/4*(-22)\/(-11). Let c be -2 + 1 + (-1)\/(l\/999999). Round c to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -361, -885, -1411, -1939, -2469, -3001?\n\"Answer: -t**2 - 521*t + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -443 in -79, -2\/11, -1\/4?\nAnswer: -79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -16, -22, -22, -10, 20, 74, 158?\nAnswer: 278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25352 (base 6) to base 8.\nAnswer: -7344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = r - 2. Suppose -r*u + 8*u = 410. Suppose 4*z - 6*z = -u. What is z rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a day in hours?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -10, -14, 1095 in decreasing order.\nAnswer: 1095, 37, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21074.97 millennia in centuries?\nAnswer: 210749.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2619\/(-378) + (-14)\/(-2))*63\/(-18)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 9 = -15*s + p, 0 = 5*s + 2*p + 13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2*h - 13927 = 11395, 2*m = -h + 12663. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p = 5*v - 10, 0 = -3*v + 5*p + 38. Calculate the greatest common divisor of 15 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 3. Let k(n) be the third derivative of -n**4\/12 + n**3\/3 - 164*n**2. Give -4*k(m) - 3*p(m).\nAnswer: 5*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8 or -368\/53?\nAnswer: -368\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -27 + 4*g**2 + 1388237*g - 1388247*g - 3*g**2. Calculate r(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + 36. Suppose 22 = 2*i - 2*t, 3*i + 5*t - 63 = -22. Calculate the highest common factor of c and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + 412\/4)*(-236)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 12 = 4*c, 4*c + 5*x + 7 + 8 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f*f\/f**(-1\/6))*f*f*f**8*f**(-19)\/f**5 assuming f is positive.\nAnswer: f**(-91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 255578 divided by -136\nAnswer: -7517\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 411*q**3 + 3*q**4 - 2*q**4 - 393*q**3 - 3 + 2*q**2 to c + n*q**3 + d*q + u*q**2 + b*q**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16651184.\nAnswer: 2, 11, 37, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, 999, 2682, 5057, 8136?\n\"Answer: 2*d**3 + 328*d**2 + 5*d - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2. Let w(d) be the first derivative of 7*d**4\/24 + 4*d**2 + 10. Let b(g) be the second derivative of w(g). Give j(b(c)).\nAnswer: 98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(90)\/(sqrt(3)*4))\/(sqrt(10) - (sqrt(10) + sqrt(10) + (sqrt(1000) + 1*sqrt(1000) - sqrt(10))))*-6.\nAnswer: 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8690641 and 413.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 + 3232*m\/11 - 3230\/11.\nAnswer: -2*(m - 1615)*(m - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 7:52 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 11 - 3\/(3 - 2). Suppose 3*x = -9, -5*d - t*x + 650 = -3*x. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010101011 + 1001100?\nAnswer: -110001011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 11) to base 9\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 205*p + 6 = 202*p, 0 = -5*i - 3*p - 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -42, 13.2, 807?\nAnswer: 13.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.61 - 0.91. Which is the second smallest value? (a) 1\/6 (b) 1\/7 (c) -2 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -54. Let x be -1*3*(-2)\/3. Solve x*r = -v + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is v in v**2\/3 + 12761*v\/3 - 25526\/3 = 0?\nAnswer: -12763, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 1170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 8, b: 1, w: 2, k: 2}. Give prob of picking 1 b and 1 g.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 + 2*z - 1.\nAnswer: -(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - -2. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 993, 2 in descending order.\nAnswer: 993, 8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12010 (base 6) to base 7\nAnswer: -5025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1907011\/490 + 3892. Find the common denominator of v and -54\/35.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 22*q = 6*q - 24*q + 26, -56 = 14*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10296 divided by -1\nAnswer: 10296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 149736 divided by 146\nAnswer: 74868\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-2)\/sqrt(8) + 5 + sqrt(28)\/sqrt(4).\nAnswer: -sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4697 and 133510090.\nAnswer: 1468610990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + -2 - (5 - 1)) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 78745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 163679 = f + 163731, -3*l - 3*f = 96 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 + 25*d**2 + 31*d + 68. Let z(u) = 3*u**3 + 51*u**2 + 71*u + 135. Let k(a) = -5*t(a) + 3*z(a). Calculate k(30).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1359371788 and -13577.\nAnswer: 1359358211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 12) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46209524?\nAnswer: 2, 11552381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*p - 4*d, -d = 4*p - 15. Solve p*i - 40 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) + -6*(-20)\/(-176)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 8 - (-7 + 15 + 12 + -14)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8)\/((6600\/24)\/11 + 45).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2381, -9572, -21559, -38342, -59921?\n\"Answer: -2398*p**2 + 3*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 3*a = 1, -5*a - 3 = h - 0*h. Suppose h*q + z - 324 - 345 = 0, 1695 = 5*q - 5*z. Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-26910)*3*1015\/812*3\/5?\nAnswer: 2\/299","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46523 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(162)*2*1)\/(1*(sqrt(1089) + sqrt(1089) + sqrt(1089)*-2 + sqrt(1089))*-6))**2.\nAnswer: 72\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 81815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of 11\/2*y**4 - 12*y - 74\/3*y**3 + 29*y**2 + 10 + 6\/5*y**5. Solve p(w) = 0 for w.\nAnswer: -6, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 u when four letters picked without replacement from zztczzzczuuuuzztt.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 2920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9.225 from 0.01.\nAnswer: 9.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -682 divided by -62\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 - 35 = 15*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000461 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/56 and 5\/6*15\/(-10).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.1 - -3. Let r(x) = -x**3 - 4*x**2 - 3*x - 10. Let h be r(-4). Which is the nearest to w? (a) -2\/9 (b) h (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.06 - 0.16. Let i = u + -22. Let p = -1 + i. Which is the third smallest value? (a) 0 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34921192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/15*(-720)\/(-3). Suppose 4*i = 2*n - i - y, i = -2. What is the derivative of 91*q**2 - 8*q**4 - n*q**2 - 7 wrt q?\nAnswer: -32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u**3 + 35*u**2 - 11*u - 65. Let b(g) = g**3 - 12*g**2 + 4*g + 22. Let i(k) = -7*b(k) - 2*z(k). Is 18 a factor of i(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -12172, -24342, -36512, -48682, -60852?\n\"Answer: -12170*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -292?\nAnswer: -28b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -4*c + 54, v + 27 = 3*c - 11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/9 and -25\/294.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2 = 2*s. Let o be (-16)\/(-7) + -2 - (-28 - -36)\/(-56). Let 9\/7*w**s + o + 12\/7*w = 0. What is w?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*p - 14912518 = 10650786. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.57 - -112.545. Let w = -128.9 - -23.9. Let p = q + w. What is p rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + y - 1. Calculate m(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (129690\/180)\/(-131)*2\/4?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + s**2 - 1 + s**2 - 2. Let t be z(-2). Solve 3 = 3*c - t for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 534898 and 0.2.\nAnswer: 534898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*i + 1326 = -354 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 15786 to the nearest 100.\nAnswer: 15800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4\/4 + 691*d**3\/2 + 77113*d**2\/4 + 6157*d - 12775 = 0. Calculate d.\nAnswer: -50, -1, 2\/3, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14417056+-108\nAnswer: -14417164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + 28. Let t = p - 12. Suppose 3*v + t = 5*f - f, -12 = -4*f + v. Solve -4*q + 2*w + 28 = -0*w, -f*q = w - 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 656 = -558. Suppose 48*y = x*y - 623. What is the remainder when y is divided by 78?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741285817 to the power of 1\/2, to the nearest integer?\nAnswer: 68857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(459)\/((sqrt(324) - sqrt(36))\/sqrt(4)))\/((sqrt(30) + (sqrt(240)*-1 - sqrt(240))\/sqrt(8))\/(sqrt(90)*2)).\nAnswer: 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -404754*i**3 + 16905*i**2 - 3381*i - 3381. Let z(t) = -479*t**3 + 20*t**2 - 4*t - 4. Determine 4*r(k) - 3381*z(k).\nAnswer: 483*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b - b - b**3 - 2*b + b**2. Let a(p) = 2*p + 75. Let d be a(-39). Let q(m) = 2*m**3 - 2*m**2 + m. Calculate d*q(i) - 5*n(i).\nAnswer: -i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) -2\/5 (c) -3 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 4*b**3\/3 - 9. Let d(j) = 5*j. Calculate u(d(c)).\nAnswer: 100*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 89. Calculate the greatest common factor of 20 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-2 + 2 + -1) - -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 25 (b) -65 (c) -2334\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 21 = 4*o, -5*p + 1 + 19 = 5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + n = 29 + 35, 0 = -3*n + 12. Calculate the highest common divisor of 15 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 571.402 + -571. Round r to two dps.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1252, -0.5, -3\/7, -5\/6, 3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Suppose 5 = -5*y + 2*d + 34, 3*y + 2*d - 11 = 0. Put y, -5, n in increasing order.\nAnswer: -5, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*x + x. Let i = x + 11. Calculate the remainder when 726\/i - (-2)\/14 is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8430 is divided by 8344?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3\/5 - 15260*c**2 - 31931474*c\/5 - 3359376576\/5 = 0. What is c?\nAnswer: -37728, -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -170 and 82 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42491558 and 4.\nAnswer: 84983116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82310258898*a**3 + 4*a - 82310258886*a**3 - 4*a.\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 205040 and 233?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 - -111. Suppose 0 = -2*o + 6*o - k. List the prime factors of o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2134860114 to the power of 1\/3, to the nearest integer?\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from yyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 107*o**3 - 2*o**2 + o. Let k be f(1). Suppose -5*c - 299 = k. Let q = -39 - c. What is the remainder when q is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.037 + 0.463. Sort -0.5, 31, z, 5 in decreasing order.\nAnswer: 31, 5, z, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001407094277 to 7 dps.\nAnswer: 0.0000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1115*x**4 - 15*x**2 + 1339*x**4 + 7*x**2 wrt x?\nAnswer: 58896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.133358777 to 3 dps.\nAnswer: -0.133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-40)\/(-6)*11\/((-66)\/162). Calculate the common denominator of (-23)\/(-92) - 699\/b and 119\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756160107 to the power of 1\/3, to the nearest integer?\nAnswer: 911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h**3 + 2*h**3 - 1499 - 15*h**3 + 1499 + 2*h**3.\nAnswer: -29*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 13. Let v be t(-5). Let g be 2\/12*2086 - v\/(-3). Let m = g - 161. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6401.\nAnswer: 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 0*t - 84. Put 0, t, -4, -2 in increasing order.\nAnswer: -4, -2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.1 (b) -0.2 (c) 0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 0 + 1\/20*q**5 - 2*q**2 - 5*q + 5\/6*q**3 - 1\/4*q**4. Let n be l(3). Solve -40 = -3*c - 5*y, n + 14 = 5*y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 6, -1, 2, -2, -32 in descending order.\nAnswer: 25, 6, 2, -1, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-10)*(-84)\/(-56)*30\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 265944693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 953*b + 213*b + 996*b = -551*b - 97668 for b.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-119)\/(-14))\/17*66\/(-22).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -4*m - 184, m - 6*m - 230 = 3*i. Let u = m - -42. Is 21 a factor of (-6)\/4*u\/6 + 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4695407.\nAnswer: 4695407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:20 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.67 - 5.23. Let z = a - 0.1. Which is smaller: 1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 45\/22, 28, -9?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 11. Let r be x(15). What is the tens digit of r\/6*(1 + -130)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -156 + r**2 + 83 + 79 - 3*r - 9*r. Determine o(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2*(-31)\/(-124))\/((-2)\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3365 not equal to -3365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 + 15 = 0. Let o be f\/(-4) + 36\/(-48). Solve -o*n = 4*a + 14, n + 2 = -3*a + 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 64089620 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-33))\/(1 + (-13 - -10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-7))\/(((-48)\/96)\/(7\/(-1))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5 = 4*n, -2*n = 5*t - 6*n - 105. Let g = 36 - 38. Let c = g + 7. Calculate the greatest common divisor of c and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -14.6. Let x = 144 - 148. Which is the fourth biggest value? (a) n (b) -20 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -20. Let r = f - -10. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8371 at least as big as 8369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 4:33 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.22 + 96.38. Let m = 143 - o. Let p = -34 + m. Which is the second smallest value? (a) p (b) 2\/11 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6, i: 4}. What is prob of sequence ipi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -y**5\/5 + 2*y**4\/3 - 5*y. Find the third derivative of o(m) wrt m.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -86933203 not equal to -86933199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14649 + 14652. Let x be ((-4)\/6)\/((-3)\/18). Suppose -x*i = 1 + 15. Which is the nearest to 3? (a) j (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 48*v**2 - 6*v + 86. Let c(g) = 3*g**2 - g. Let r(m) = 6*c(m) - w(m). What is the derivative of r(i) wrt i?\nAnswer: 9*i**2 - 60*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*k - 195*k = 1440 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.4 + -6.4. Suppose 441 = -2*f - 3*n, -4*n = -6*f + 3*f - 704. Let d = -2510\/11 - f. Which is the nearest to y? (a) 1 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-144)\/308 + 2\/11. What is the second biggest value in p, -2\/9, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 18*n - 207. Let p be h(-25). Let s = -645 - p. Let u = 25\/6 - 17\/6. What is the closest to 0 in 3, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -28, -5, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 0.2, -92, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsmk when four letters picked without replacement from {d: 2, s: 6, o: 3, m: 1, a: 1, k: 2}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x + 2. Determine k(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.54 (b) -0.1 (c) -5 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/10 and 32\/645.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**7\/105 + u**6\/30 - 2*u**2 + 3. Let p(v) be the second derivative of n(v). Let p(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, x: 7}. Give prob of picking 2 q and 2 x.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/11944 and 51\/8069665?\nAnswer: 64557320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3426 + 3441 = 0. Let f(y) be the first derivative of 35 + 3\/4*y**4 - y - y**2 - 1\/3*y**i. What is f(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by 38674?\nAnswer: -68\/19337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -46.000084. What is t rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46020*n**2*z**3 + 2356046*n**2*z**2 + 141*z**3 wrt z.\nAnswer: -276120*n**2 + 846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 9:14 AM?\nAnswer: 10:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 133*h + 41*h - 769*h to c + d*h and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 43751*a**2 + 5*a + 3. Let j(o) = -o + 1. Let n(c) = h(c) - 3*j(c). Let r be (-8 - (0 - 1)) + -1. Let k be n(r). Round k 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 12 and 219012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/144 and -31\/25185.\nAnswer: 1208880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2655+-7\nAnswer: 2648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**6\/285 + 2*a**5\/95 + a**4\/114 - 2*a**3\/19 + 18*a. Factor z(n).\nAnswer: 2*n*(n - 1)*(n + 2)*(n + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 2. Let g be (9\/(-27))\/((-1)\/15). Let w(n) = n + 6*n - 11*n + g + 9*n. Suppose 5*r + 13 + 42 = 0. What is r*f(o) + 4*w(o)?\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(174\/(-108))\/(-29)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2038 - 0.1038. Sort 2\/23, 5, n, 0.07, -0.5 in decreasing order.\nAnswer: 5, n, 2\/23, 0.07, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 25. Suppose 0*s - 5*s + 35 = n. Let m = -2 - -11. Solve s + m = 4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-27))\/((-144)\/(-324))*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 454364?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 11:09 AM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 11:58 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from {r: 4, v: 1, f: 5, c: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -4\/5*o + 0 - 14\/5*o**2 = 0.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 6. Suppose 105 = 2*b + v*b. Calculate the remainder when 82 is divided by b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 340.01052 + -340. Let g = k + -0.01. Round g to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 1908 = -593*j - 1428 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213231 (base 4) to base 3.\nAnswer: 10111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 93*x - 29*x + 37*x + 165*x as l + q*x and give q.\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*h**3 - 506*h - 251*h**2 - 151*h**3 + 258*h + 248*h wrt h.\nAnswer: -1758","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m - 287 + 827 = 0. Suppose 26*f + 1197 = m*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1174*h**2 + 258*h - 504. Is 165 a factor of r(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -77 or -2797\/37?\nAnswer: -2797\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000289895918 rounded to seven dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -190*q - 31504. Calculate k(-166).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 549 in 2, -7\/4, 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v = 34 - 20 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 8\/3*w**3 + 7\/2*w**2 + 10*w - 72 - 1\/4*w**4. What is j(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**5\/9 + 34*h**4\/9 + 182*h**3\/9 + 98*h**2\/3 = 0. Calculate h.\nAnswer: -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20793 and 82392621.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of -56*y**5\/5 - 129*y + 226. Find the first derivative of n(a) wrt a.\nAnswer: -224*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -646?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + 1 + sqrt(325)) - (5 + (sqrt(52)\/sqrt(4) - sqrt(13))**2 + 1 + 2).\nAnswer: -15*sqrt(13) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**4 + 15*h**3 + 5*h**2 - 15*h = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9333 + 7*f + 9333.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 5*d**2 + 6*d - 8. Let c(r) = r**3 + r**2 - r + 1. Let a(j) = 2*c(j) - l(j). Let h be a(-8). Calculate the highest common factor of 110 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z**2 + 11*z + 7. Let f(w) = -w**2 - 4*w - 2. Let n(v) = -2*v**3 + 36*v**2 + 6*v - 104. Let x be n(18). Calculate x*q(t) + 14*f(t).\nAnswer: 2*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2416126*o**2 - o - 2416126*o**2 + o + o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyx when three letters picked without replacement from xxjxyyjy?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -46*t**3 + t**2 - 11*t - 10. Let a be g(-1). What is the third biggest value in 2, -2\/11, 5, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 20 = -307*p + 303*p, -4*x = 15*p + 151 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - -14 - 10 - -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -947.299 + 948. Let z = p + -4.591. Let q = z - 0.11. Which is the second biggest value? (a) 4 (b) -0.4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 16*a**2 - 80*a + 7. Let z be h(20). Let g(n) = 22*n - 66. What is the remainder when g(z) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -406 divided by 58\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of b**6\/3 - 2*b**5\/5 - 523*b**4\/4 - 1553*b**2 + 4060. What is the second derivative of n(o) wrt o?\nAnswer: 40*o**3 - 24*o**2 - 3138*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -24) + -15 + 10 + -45 + -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -706 - -1030. Let b be 2 + -2 + (n - 5). Calculate the greatest common divisor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 46*y**2 + 2*y. Let v(k) = -k**3 - 8*k**2 + 152*k - 16. Let i be v(-17). Determine w(i).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 443\/3 - 149. Let w = 293 - 82. Let l = 211 - w. Which is the biggest value? (a) l (b) x (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3) + 5 - (sqrt(27)\/sqrt(9) + 5) - (sqrt(48)*6 + 1 + (-5*sqrt(3))**2).\nAnswer: -76 - 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 + 173. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -704 divided by 176\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3588 + 9088. Round q to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 528312785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u**2 + 22482*u - 270220. Determine g(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -440, -2.9, 12, -7, -1\/3 in ascending order.\nAnswer: -440, -7, -4, -2.9, -1\/3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -11 + 13 - 10 - (9 - 6)) + 9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 7*b**6\/60 - b**5\/12 + 13*b**2. What is the third derivative of n(s) wrt s?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccqqqqcqq. What is prob of sequence qqcc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(320) + -1)**2 - (sqrt(320) - -5*(-3*sqrt(320))**2 - sqrt(320)).\nAnswer: -14071 - 48*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 829, 831, 835, 841?\nAnswer: 849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/200897 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2950907cm in kilometers?\nAnswer: 0.000002950907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8654287042 to the nearest integer?\nAnswer: 93028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8719*x**5 - 3*x**2 - x - 387 wrt x?\nAnswer: 523140*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (1 + -1)) + -3 + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 11*b**2 + 477*b - 181. Give x(-44).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4010 rounded to the nearest one hundred?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3502\/(-1030)*25\/(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + s = 2, -11*v = -10*v - s + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 0*x**5 + 0*x**3 - x**2 + 0*x - 1\/60*x**6 + 0 + 1\/6*x**4. What is the second derivative of s(i) wrt i?\nAnswer: -12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 32 = -0*t. Let d be t\/6*6\/(-4). Put -5, 5, d in increasing order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*q - 3*n + 19, -5*q - 5*n = -20. List the prime factors of (5 + q - 1) + 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 0*f = 20. Which is the second biggest value? (a) -0.5 (b) f (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -j**6\/21 - 6*j**5\/35 - j**4\/14 + 2*j**3\/7 + 2*j**2\/7 - 6. Let g(p) = 0. What is p?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 228 = -110*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351652.\nAnswer: 2, 7, 19, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h - 116 = 0. Calculate the remainder when h is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/18 - (-16)\/9. What is the units digit of s\/2 + (-17)\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-2*(-122)\/80 + -3). Let i = h - -84. What are the prime factors of i?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 9. Let k = 0 + p. Suppose 146 + 10*h**2 - 146 - 15*h**k = 0. What is h?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 121, 253, 449, 715, 1057, 1481?\nAnswer: 1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -235.2116 rounded to 0 decimal places?\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**4\/12 - i**3 - i**2. Let s be g(-4). Differentiate -7*q**3 + 0*q**3 + 6*q**3 - s with respect to q.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:54 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 - -1 - -42 - (0 + 4) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 352995538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11809?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 27 = 5*f - 3*a, -2*a = 3*f + 1. Suppose 2*m = -5*z + 35, f*m + m - 5 = 3*z. Solve m*t - t = 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*(sqrt(228) + 6*(sqrt(228) + sqrt(228)*-5 + sqrt(228)))\/(sqrt(12) + (sqrt(12) - (sqrt(108)*4 - sqrt(108))\/sqrt(9))))**2.\nAnswer: 5491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2025508.\nAnswer: -6076524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -321, -6, 32 in ascending order.\nAnswer: -321, -6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 14, h: 5}. What is prob of picking 2 p and 2 h?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -233*o + 227*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 5*n - 5. Let t(d) = 6*d - 5. Let p(c) = 7*a(c) - 6*t(c). Let i be p(-8). Suppose -i*o + 2 = -2*o. Calculate the highest common factor of o and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 4 + 44 = 0. Let a = r + 0. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19.2 - -75.9. Let x = 64 - w. Let i = x + -7. Sort 2, -4\/9, i in increasing order.\nAnswer: -4\/9, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2. Is -5\/7 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**2\/2 + 2*k - 1. What is the units digit of x(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118439718 divided by -9?\nAnswer: 39479906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -1\/12, -0.01.\nAnswer: -0.8, -1\/12, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -6*j**2 + 6*j + 6. Let f(u) = 6*u**2 - 5*u - 5. Let k(h) = 2*h**3 - 32*h**2 + 6. Let g be k(16). Determine g*f(s) + 5*c(s).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3075783.\nAnswer: 3, 1025261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + 3*sqrt(324))\/(sqrt(1728) - ((sqrt(1728)*-2 - sqrt(1728)) + sqrt(1728))) - ((sqrt(108))**2 + 1*sqrt(3) + -4 + (sqrt(48)\/sqrt(2))\/sqrt(2)).\nAnswer: -104 - 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**3 - 3*r**2 - 3*r. Let b be (-69)\/21 - 1\/(7\/(-2)). Let d(l) = -36*l**3 + 16*l**2 + 16*l. Calculate b*d(h) - 16*a(h).\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 10:54 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3 (c) 2\/9 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-11 + (7 - 6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -29*q. Let i(u) = -24*u**2. Determine d(i(j)).\nAnswer: 696*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 786*y**2 - 6503*y + 3 + 1 + 6503*y to the form n*y + d*y**2 + t and give d.\nAnswer: -786","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 5) to base 16\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f = -3174 - 801. Calculate the remainder when f is divided by 90.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.6 + -0.1. Let p be 8\/20 + 0 - 0. Which is bigger: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**2\/5 + 91322*w\/5 - 182652\/5 = 0.\nAnswer: -45663, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (27311 - 27311 - 1157*u**2)*(u**2 - 3 + 0 - 5*u**2 + 3*u**2) as q*u + b*u**4 + o + x*u**2 + l*u**3 and give x.\nAnswer: 3471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 3*z**2 + 4*z + 4. Let x be a(4). Suppose -5*f = 5*g - 130, 0 = 5*g - 0*g + x*f - 127. Does 7 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 - 12*t - 11. What is a(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 5*a**2 - 2*a**3 - 646 + 646.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34.3 - 34. Sort m, 8.5, 2 in descending order.\nAnswer: 8.5, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of a**4\/6 - a**3\/6 - 2*a. Let c = 67 - 65. Let i(v) = -v**c - 10*v - 10*v + 21*v. Give -4*b(x) - 4*i(x).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**1)**31)**(-38))**46 assuming k is positive.\nAnswer: k**(-54188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1012 (base 4) to base 5\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000001 + -1010?\nAnswer: -1000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 25*c - 24. Suppose -31 - 9 = -5*f. Calculate the remainder when a(23) is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1641, -2026, -2457, -2934, -3457?\nAnswer: -4026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82488873.\nAnswer: 3, 37, 743143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6122 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2. Let k(a) = -a**2 + 2*a. Let p(s) = -4*s**2 + 7*s. Let i(x) = 14*k(x) - 4*p(x). Determine u(i(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*q - 104, -3*u = -4*u - 2. Let n = 11231 - 11178. Is q at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.687 + -0.587. Which is the nearest to 1? (a) p (b) 16 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 2)\/((-1)\/(-3)). Suppose -s*r - 3 = 6. What are the prime factors of ((-8)\/r + -3)*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 7 = -19. Suppose -s - r + 143 = n*s, 2*r + 134 = 5*s. Let f = -6 + s. Solve 4*l + 2 = f for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3381878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1335496739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*x - 4*u - 104, 4*u = -16. Let b = -42 + x. Solve -13 = b*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -314186 divided by 6?\nAnswer: -157093\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -75, -2, 0 in decreasing order.\nAnswer: 0, -2, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmamdmampmadmdmmda. Give prob of sequence pd.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 38. Suppose 0*r - s = -2*r + 2*f, -4*r + 96 = f. Let q = 7 + -2. Solve 4*k = 3*w, -w + q*k + r = -3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - a + 1. Let h(u) = -3*u**2 + 7*u + 3. Calculate 2*f(z) - h(z).\nAnswer: z**2 - 9*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -106.96 + 300.\nAnswer: 193.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-45)*1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6 - 11*f - 7 + 15*f - 12*f. Let r be g(3). Let t = r + 40. Solve -3*n = 2*z + 5, -2*z - t*z = 20 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = z - 4*g - 179, 4*g = -2*z + 350. Let q = 77 - z. Find the common denominator of 822\/16*(-16)\/q and 97\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -35*f**2 - 19*f - 4. Let z(q) = -34*q**2 - 17*q - 3. Give 5*m(l) - 6*z(l).\nAnswer: 29*l**2 + 7*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 1. Suppose n = 3*u + 2*u - 15. Suppose 0 = -0*b + u*b - 45. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9283 rounded to one dp?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 558 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 less than -4972170?\nAnswer: -4972218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20721 is divided by 10148.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 758, 6318, 21422, 50840, 99342, 171698, 272678?\n\"Answer: 795*m**3 + 2*m**2 - 11*m - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of -3*t**5\/20 + t**4\/2 + 6*t. Suppose i(l) = 0. What is l?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 19*n - 26. Let q be g(17). Suppose m + 0 = q. What is the smallest common multiple of m and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*x - 193 = 0, 5*o + 270 = o + x. Let p = o - -69. Let -6*s - 9*s - 3*s**2 + 2*s**p + 4*s**2 + 18 = 0. What is s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(228) - sqrt(228)*-2)*-3*2)\/((sqrt(132)*-3 - sqrt(132) - sqrt(132))\/sqrt(11) - sqrt(12) - (sqrt(1452) - (-3*sqrt(1452) + sqrt(1452)))).\nAnswer: 12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 37*d**2 - 9*d + 22. Let x(c) = 6*c**2 - c + 2. Let h(j) = -t(j) + 6*x(j). Give h(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -13 (c) -8693\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 11. What is the closest to 3 in d, 0.2, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4061 is divided by 1337.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196620 divided by 113.\nAnswer: -1740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1460 and 730.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 0*z + 16 = 0. Solve 3*w - 1 = z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2644 + 52104?\nAnswer: 54750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27933480 divided by -2?\nAnswer: -13966740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 9*v**2 + 22*v + 18. Let a be l(-4). Suppose -a*y + 86 + 224 = 0. What is the greatest common factor of y and 651?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130371*-1.5\nAnswer: 195556.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2 + 0 + 3 - 6 + 51*f wrt f.\nAnswer: 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.726 times 79?\nAnswer: 6456.354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3287 - ((-2)\/17 + 285\/255)?\nAnswer: 2, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -c + 7, w + 5 = 0. Let f be ((-2)\/(-5))\/(c\/80). Let x be ((-28)\/f + -2)*-12. Solve -x*j - 5 = -8*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4 - (4 - (-2 - -8 - 6))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 2*m + 4, 2*p + 21 = -0*p + 5*m. Let z be 1\/p*-6 - -3. Is (z - 48)\/((-30)\/(-24) - 2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21320698 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157 is divided by 232.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/15)\/(4\/(-15)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 1, e: 1, b: 1, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -3.6, -3\/5, 0 in decreasing order.\nAnswer: 0, -1\/2, -3\/5, -3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 45056 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*i - i = -14, 4*i - 10 = -x. Suppose -4*a + a - 3 = 0. Put 3, a, x in increasing order.\nAnswer: a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eheh when four letters picked without replacement from hhehp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -54*p**3 + p. Suppose 2*c + 2*t = 17 + 27, -c = -5*t - 16. Calculate the remainder when k(-1) is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-three halves of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535.1699 nanometers to kilometers.\nAnswer: 0.0000000005351699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/l**4)\/(l**(-12)\/l))**(2\/29) assuming l is positive.\nAnswer: l**(24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 + 212. Let d = 153 - v. Let m(a) = -13*a**3 - a**2 + a. What is m(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + -13 - -3)*-48. Let l = i + -201. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 8, 5, 0.6, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15*v**3 + 129*v**2 + 15*v - 33. Let x(r) = r - 10*r**3 - 2 + 30*r**3 + 2*r**2 - 19*r**3 + 6*r**2. Let b(n) = -2*w(n) + 33*x(n). Factor b(l).\nAnswer: 3*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-10)*1 + (-2128)\/(-280). What is the third derivative of m*z**3 - 77*z**2 - 7*z**3 - 10*z**2 - 23*z**4 + z**3 wrt z?\nAnswer: -552*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2046816652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 9. Let d be -60*i\/(6 + -2). Let v be (-2)\/6 + d\/(-9). Let b(c) = c**2 - 4*c + 4. Calculate b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 403920 divided by 12240\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -253.9, -2.622, 4?\nAnswer: -2.622","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to -1287\/58?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7596672 divided by 3504.\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15 + 1938\/(-136) - (-314)\/8. Suppose 0*b + 400 = 4*b. Calculate the greatest common factor of b and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 4900\/27 (c) -0.6 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = h - 5*h. Let g = 8 + h. What is the smallest value in 8\/9, -1\/2, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1681630 is divided by 13238?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 12*a = -11*a + 42 + 17, -q - 18 = a + 56 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**2 - z. Let c be g(1). Suppose -5 = -3*f - c. Let d be (-7 + 1)\/(3 + f). What is the third smallest value in d, -1, -1\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 4*x + 4. Let j(i) = 4*i**2 - 3*i + 3. Let s(l) = -4*j(l) + 3*y(l). Let z(g) = -4*g. What is z(s(h))?\nAnswer: 16*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f = 0. Let x = f + 0. Let j be (-1)\/2 + (-13)\/(-26). Is j > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241 + (350\/14 - 18) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3492187985\/798 - 4376176. Let k = 1\/114 + g. Let b be (-4)\/(-15) + (-2)\/3. What is the third smallest value in 3, b, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134610 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.3 and 49.96?\nAnswer: 50.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21725 + z - 6*z + z - 21725.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 63. Calculate the smallest common multiple of i and 1782\/108 + (-3)\/2.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6083 divide 689349892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42845 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = -4, -4*a + 600004 = 2*i. What is a rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (1 - 3) - (-44 - -20)\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-135))\/((-4)\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/8)*c)\/c*c)**(11\/7)\/((((c\/((c**(1\/12)*c)\/c)*c*c)\/c)\/c)\/(c*c**0*c)) assuming c is positive.\nAnswer: c**(59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 3*k + 2*r - 18, -3*k - 3*r + 6 = 0. Suppose 2*z = -k*a + 4*z + 12, -a + 3 = z. Suppose 8*b - a*b - 35 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/18 - (-1)\/3. Suppose -p*l - 20 = -9*l. Solve 5*k = -l*a - 17, 0*k - 4*k - 5*a - 10 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -5 + (5*((-1*sqrt(39) - sqrt(39)) + sqrt(39)) + (sqrt(3159) + sqrt(3159)*1 - sqrt(39)))\/(-2*sqrt(147)*5).\nAnswer: -4 - 6*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5160124 - -213?\nAnswer: 5160337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 86*k**2 + 2*k + 34. What are the prime factors of l(7)?\nAnswer: 2, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*m = 0, -5*y = 5*m - 3*m. Suppose -2*f - 7*f + 963 = y. What are the prime factors of f?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 747 and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*i - 22*z = -20*z + 13 - 53, 5*z = 7*i - 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 5, -3 in descending order.\nAnswer: 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 420*s**2 + 24 - 176*s - 300*s**3 - 125\/2*s**4 = 0.\nAnswer: -6, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/18 + (-52)\/153. Let u = 0.31 - 0.31. Let x = u - 0.3. What is the closest to 1 in f, x, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5859.332 kilograms in micrograms?\nAnswer: 5859332000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**4 - 13*a**3 - 3*a**4 + 11*a**3.\nAnswer: 2*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 60.52537 millennia?\nAnswer: 60525.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 3149?\nAnswer: 503840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138774.\nAnswer: 2, 3, 101, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/11 + 9777*s\/11 + 68978.\nAnswer: -(s - 9854)*(s + 77)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 20*w = 2*l - 2087, -3*w + 1253 = l. Let q = w - -131. Is q a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**4\/4 - 23*w**3\/3 + 27*w**2\/2 - 31*w + 4345. Give a(22).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 419, 405, 383, 353?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by (60\/75)\/((-1)\/(-60)) - 1?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 7. Suppose 0 = -3*d - 3, -d - 31 = 4*a - 2*a. Is y(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4748463874?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-115)\/35 - (-4)\/14. Let p = y - -7. Let l(m) = -m**3 + 4*m**2 + 3*m - 5. Let z be l(p). Solve 3*h = z*h - 20 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 AM and 6:05 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103.125 - 0.125. Let d = s + -102.99917. Round d to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - d + 1)*(-2*d + 2*d - d) - d**2 - 2*d**2 + 6*d**2 + (5 - 4 + 1)*(-5 + d**2 + 5) as v*d**2 + m + l*d and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*v + 3*v - 11923005, 0 = 4*k + 5*v - 11923011. Let n = k - 283174891\/95. Let t = n - -199\/5. Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/984 and 75\/328?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + o - 26 = 0, -15657*a = -15660*a + 5*o - 29 - 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -830 + 350. Let k = -152 - i. Let o = -675\/2 + k. Calculate the common denominator of o and 97\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -423152*u. Let r(p) = 2*p**2. Calculate r(t(h)).\nAnswer: 358115230208*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 2. Suppose -c*m - 5*r = -46, 4*m - 2*r - 40 = 2*r. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 3*z - 0*z - 6, -3*t - 5*z = -52. What is the units digit of (-9*30\/t)\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8568 and 177016?\nAnswer: 27083448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9728 + 0.0272. Let p = 8\/105 - 10\/21. What is the nearest to -2\/3 in p, 5\/3, m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65728.\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 294*f**5 + 69*f + 2 wrt f?\nAnswer: 5880*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 4 - 4)*(1445 + 12*u - 1445) + 2*u**2 + 2*u**4 - 2*u**2 + 8*u**4 + 32*u**2 - 32*u**2.\nAnswer: 34*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -121*g - 6743. Give m(-60).\nAnswer: 517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*d - k = 73*d - 245, 72 = -3*d + 2*k - 108 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - j**2 - j + 1. Let q(i) be the second derivative of 1\/2*i**4 + 12*i - 7\/2*i**2 + 5\/6*i**3 + 0 + 3\/20*i**5. Give -5*m(g) - q(g).\nAnswer: 2*g**3 - g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bdbddd. What is prob of sequence ddb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -79, -105?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1575 and 82575?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -3*c**5\/10 + 11*c**2\/2 - 7*c - 10. Let o(x) be the first derivative of f(x). What is the derivative of o(u) wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/3, -5, 48228, -0.1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + -3 + -1 + (141 - 153).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8442.\nAnswer: 2, 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217 and 93?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2071256 + 9.54\nAnswer: -2071246.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -714804*q**3 + 849661*q**2?\nAnswer: -4288824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 144 and 1608.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 83 = 123 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 11*n + 16. Let c be m(-8). Let a(z) = -z**2 - 8*z + 8. Give a(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 8*o + o**3.\nAnswer: o**3 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.369 and 0.04.\nAnswer: -0.01476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 5*c = 3*y - 21, 18 = -3*y - 4*c. Let v = -28 + 29. Put v, y, -3 in descending order.\nAnswer: v, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -44.16878 and -0.03256.\nAnswer: -44.20134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**0*s*s\/(s**(3\/5)\/s))\/(s**4)**(-42) assuming s is positive.\nAnswer: s**(857\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7798.36 kilometers?\nAnswer: 7798360000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 7*v**5\/4 + 49*v**2. Let u(p) = p**2. Calculate u(h(d)).\nAnswer: 11025*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 110222 (base 3) to base 10\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 102*o**2 + 3*o - 1056. What is s(102)?\nAnswer: -750","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2166\/199091?\nAnswer: 2166\/199091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -831, -844, -859, -870, -871, -856, -819?\nAnswer: -754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 5\/(20\/32). Suppose -a*j = -110 + 10. List the prime factors of (-15)\/j*(-60)\/1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.432408 litres to millilitres.\nAnswer: 8432.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2262)\/(377\/(-13)))\/(-6)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -667.53016 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 10. Give u(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*r - 376*r - 20 = 2*j, -12 = -3*j - r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 976 is divided by 473?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 91\/78*(-12)\/(-2).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 4:52 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6*-2*(-1)\/(-6). Let p = o - 5. Let t = p - -6. Let c(s) = -s + 7. Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(12\/11)*u*u\/u**(1\/10))**(-2\/7))**(-24\/5) assuming u is positive.\nAnswer: u**(1128\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 963729 is divided by 196.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/8*-52*2*8. Suppose -4*o - 520 = -9*o + 4*a, -a = -4*o + k. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*c + 10 + 10 - 20 + c**2 + 21 = 0.\nAnswer: -7, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 4:00 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 2*z**2 - 3*z)*(-47 + 47 + 5*z)*(0 + 0 + 2).\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36686\/3 + 12228. Which is the closest to 0? (a) -3 (b) -0.3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 9*r**2 - 89*r - 88*r + 180*r. What is the least common multiple of 51 and u(-1)?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 17592 = -15*g. Let y = g + -1867. List the prime factors of y.\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -25bf?\nAnswer: 25bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 356246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, -59, -117, -175, -233, -291?\n\"Answer: -58*i + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((1160\/(-1276))\/((-168)\/66))\/(2*(-175)\/(-80))\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/48906 and 37\/1254.\nAnswer: 48906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11700)\/(-3780) + 4\/(-6) + (-2 - 0)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77*y + 168*y - 4*y)*(3*y**2 + 3*y**2 - 7*y**2) + y**3 - 3*y**3 - 3*y**3.\nAnswer: -246*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 55910 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: In base 13, what is 102 + 13c?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 9:35 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 30*f**3 - f**3 + f.\nAnswer: 29*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4))**50*k\/(k*k**(11\/4)*k)*k**(-2\/49)*k assuming k is positive.\nAnswer: k**(-39747\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y + 3 - 3)*(-4 + 9 + 4) - y + 1 - 1)*(2165*y**2 + 1025*y**2 - 1226*y**2 + 862*y**2 + 1154*y**2).\nAnswer: 67660*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 7.6. Let k = p - -1.6. Let n = -3 - -2. What is the closest to k in 4, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3192088 divided by -399011?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5488 (base 13) to base 10.\nAnswer: -11773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/(-18))\/(89\/(-2)). Is 1 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(5*sqrt(12)\/sqrt(2)) - sqrt(156)\/(sqrt(1728)*1).\nAnswer: 7*sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-142)\/(-71))\/(4\/54). Calculate the common denominator of (84\/27)\/14 - (-7)\/g and -74\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 114*k. Let h(o) = 101*o. Give x(h(f)).\nAnswer: 11514*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 5*h + a - 4, 0 = 2*h - 4*a + 6. Put h, -1, -109 in increasing order.\nAnswer: -109, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/13362 and 95\/14148.\nAnswer: 240516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2.35. Let y = 11037.98 - 11038. Is y >= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/17 (c) 1\/9 (d) 0 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01814 to 3 dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:06 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 398 or 2715?\nAnswer: 2715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 7*d**6\/720 + d**5\/120 + d**4\/12 + 2*d. Let i(u) be the third derivative of s(u). What is i(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or -4443316?\nAnswer: -4443316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 8, -2*i + 3*i - 718 = -4*u. Suppose -u = -15*d + 3*d. Suppose 5*c - 5 = -d. Put 2, 4, c, -5 in decreasing order.\nAnswer: 4, 2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzz when four letters picked without replacement from bzzzzzzzzzzzzzzzzzz.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 216*i - 212*i + 140. Let l be 2\/(-10) + 36\/5. Is 13\/(-1)*i\/l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3\/5, -572, 7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yn when two letters picked without replacement from ybbbbdhbjnhbh?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - -21. Suppose -f*z = -17*z + 27585000. Round z to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i - 9. Let j be s(6). Suppose j*f + f - 16 = 0. Suppose 2*a - f = 0, 2*w - 3*a - 2*a + 6 = 0. Solve 2*d - w + 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Suppose -y + a + 665 = 0, 3*y - 1147 = -c*a + 853. List the prime factors of y.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 19*c = 104 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2528 is divided by 320.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 15 - 19 = 0. Suppose 2*y = 3*y - o. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 15*a + 64. Let m be 0 + 1 + (4*8)\/4. Let u be k(m). Solve 3*b + 2*b = u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a - 15. Let j be s(7). Let w(r) = 8 + 2 + 1 + 0*r + r. What are the prime factors of w(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in thirteen sevenths of a week?\nAnswer: 13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(-4\/3))**(-3)*(i*(i\/i**(-2\/7))\/i*i)**(14\/5) assuming i is positive.\nAnswer: i**(-18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w\/(w\/(w\/w**(-7))*w))\/(w**(-45)\/w*w) assuming w is positive.\nAnswer: w**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 73*r**7\/105 - 101*r**4\/24 + 3*r**2 + 25. Find the second derivative of v(u) wrt u.\nAnswer: 1752*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - d + 1 = 0, 3*d = 2*i - 11 + 6 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19799 or -19800?\nAnswer: -19799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**4\/4 - 10*x**3\/3 + x**2\/2 + 13*x - 9. Let f be n(-10). Let z be 0 - (-1 + 8\/f) - -1. Put -4\/3, z, -3 in decreasing order.\nAnswer: z, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 3*t - 3. Let y(c) = c**2 + 3*c. Let f be y(-3). Suppose -5*n + 3 + 7 = f. What is h(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 34*f**2 - 70*f - 104. Let s be r(-32). Solve s*b = -17*b - 315 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683727.4 litres to millilitres.\nAnswer: 683727400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s. Let g(l) = 6*l - 7 - 3*l + 2*l**2 + 3. Let v be g(-3). Let y be z(v). Solve y*j - 7 = 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*i - 260 = 4*v, -5*i + 4*v + 0*v + 105 = v - 12 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4*q = 720. Suppose 52*u - q = 48*u. Suppose -g = -925 - u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 98. What is the remainder when x is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478950000 rounded to the nearest 1000000?\nAnswer: -479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*n = 617*n - 768 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.060382568 * -0.5\nAnswer: 0.030191284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - 0 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 37. Calculate the least common multiple of (-1 + 2)*18*1 and (0 - (-56)\/(-6))*9\/b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -238341, -0.1, -21, 0, 3\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 11 - 10 - 27\/5. Which is bigger: k or -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*((f\/f**6*f*f*f)\/f)\/f))**(-1\/34))**(-21) assuming f is positive.\nAnswer: f**(42\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-15)*(2 - -1). Let y = 0.27738 - -0.03262. Which is the nearest to 1\/2? (a) t (b) y (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 - 26 = -5*j + 2*b, 2*j - 3*b = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*d + 0*d + 15*d)*(6*d**2 - d**2 + 2*d**2).\nAnswer: 259*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1133 and 220.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 1\/20*r**4 - 9*r**2 + 7\/10*r**3 - 44*r. Factor g(q).\nAnswer: 3*(q - 3)*(q + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*f - 5*f + 7*f**2)*(0*f - 2*f + 3*f) - 4*f**3 + 5*f**2 - 5*f**2 as u + v*f**3 + j*f + w*f**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t**2 + 114 + 7*t**2 - 4466.\nAnswer: 2*t**2 - 4352","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -14734*k + 368320. Determine j(25).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -167f8 (base 16) to base 5.\nAnswer: -10422102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7200 and 320.\nAnswer: 14400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 2338*k - 2346*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzvzzzzzzzzzvvzzz. What is prob of picking 2 z and 2 v?\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 11 + 67 = 0. Let i be 790\/b - 0\/1. Let m = 56 - i. Find the common denominator of -54\/5 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 782363?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 1\/6*q**2 - 2*q + 1\/30*q**5 + 1 - 1\/9*q**3 - 1\/36*q**4. Let i(p) be the first derivative of z(p). Factor i(a).\nAnswer: (a - 1)*(a + 1)*(2*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -5*n. Let b(a) = 5*a. Let c(y) = -6*b(y) - 7*o(y). Let i(s) = 7*s**2. Determine i(c(l)).\nAnswer: 175*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 0.4, 2\/7, 12 in increasing order.\nAnswer: -3, -1\/5, 2\/7, 0.4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 6*n**2 + n + 8. Let m be u(-6). Find the second derivative of 28*s - 12*s - 3*s**m - 17*s**2 wrt s.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 47.9. Let w = -13 - -18. Which is the nearest to 2\/5? (a) g (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-7 - (0 - 4)) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 321 in -1, 0.2, -3, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 209*u**2 - 277*u.\nAnswer: 418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-120)\/80)\/((-4)\/(-8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - 2*y - 9, 4*b = 2*y - 7*y - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 704549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2476990084 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -13 - (6 + -3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 0 - (-236 + 216)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/7 (b) 0.5 (c) 1152 (d) -0.2 (e) -1\/8 (f) 48\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-20))\/((-216)\/192)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*v = 3 + 29, 2*z - 2*v + 18 = 0. Let t be (-948)\/553*2\/z. Suppose -t + 2\/7*m**2 - 4\/7*m = 0. What is m?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-28)\/q**(-13) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2 + 2)*(-2*b - 4*b + 4*b) - 6*b**2 - 1 + 5*b**2 - 6*b**2.\nAnswer: -3*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2380640\/40887 - 12\/4543. Let d = -10853\/198 + f. Calculate the common denominator of d and 107\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000945 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*q - 76 - 40. Suppose 2*h + 14 = -20. Put q, -3, 5, h in ascending order.\nAnswer: h, q, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventeen halves of a kilometer?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/21 - 38*t\/7 + 16\/3.\nAnswer: 2*(t - 56)*(t - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + -10. Let z = w - -34. Let s = 17 - z. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -246640, -492516, -738392, -984268?\nAnswer: -1230144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, q: 3, e: 1}. What is prob of sequence qxq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 8, -4, -3 in ascending order.\nAnswer: -4, -3, -1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 405 and 311904?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119670 = -2841*l + 106972 + 21139 - 6296 for l.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/24 and 32\/99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68689 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -425*u + 1832. Calculate d(5).\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 11 = 2*b - 43, -5*t + 182 = -b. Suppose -4 = -2*d - 2*k + 20, 3*d = 4*k + t. Solve 0*i + d = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 15*v - 30. What is the derivative of 3 - 7*d**2 + 1 + v wrt d?\nAnswer: -14*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u*u**0)\/u*u)**(23\/2)*(u*u**(-2)*u)**43 assuming u is positive.\nAnswer: u**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000749 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 z when three letters picked without replacement from {z: 1, g: 2, f: 1, p: 1, h: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1946 times -34373?\nAnswer: 66889858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 559234.26 milliseconds in hours?\nAnswer: 0.15534285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2530*r - 6869*r - 205674 = -1741 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3 = 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36193382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 2 = -4. Let r = 192 - -76. Suppose -r = 5*b - 308. Solve -v*o + b = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 2. Let k(m) = 355*m - 4. Determine a(k(c)).\nAnswer: 355*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -8. Let d = r - -36. Which is the biggest value? (a) 4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**2 + 2436*h - 77438 = 0.\nAnswer: -1249, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -705 divided by 141?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/7 - 2064*j**2\/7 - 24984*j\/7 - 75168\/7.\nAnswer: 2*(j - 1044)*(j + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 9?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/8 of a tonne?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21607, 3, 1, 0.5 in descending order.\nAnswer: 3, 1, 0.5, -21607","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539002 is divided by 538987?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5832 and 4008?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252316399.\nAnswer: 233, 761, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 14*p - 34. Let g be h(-16). Let w be ((-4)\/6)\/((-6)\/9) - g. Suppose 0 = 4*c + c + 2*s - 2316, -w*c = -5*s - 1402. Round c to the nearest 10.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*l - 589, -4*k + 2*l - 168 - 624 = 0. Suppose -2*d + 10 - 902 = -3*z, 0 = -3*d + 12. Let p = z + k. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.3931379 - 45\nAnswer: -42.6068621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(12)\/sqrt(3) + sqrt(4)))\/(sqrt(242) - (sqrt(242)*1 - sqrt(242))).\nAnswer: -8*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 433 - 478. Does 10 divide 6306\/45 + 6\/i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -1\/4, -0.73, 166 in increasing order.\nAnswer: -0.73, -1\/4, 10, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5342 or 5341?\nAnswer: 5342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 1)\/((-1)\/2). Let b(r) = 5*r**2 - 4*r**2 + 197 - 4*r - 193. Let w be b(x). Solve -5*c - 14 - 7 = -3*u, 0 = -2*u + 4*c + w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -188*h + 116*h**3 - 53*h**3 - 10*h**4 - 61*h**3 + 9*h**4 in the form a*h**2 + l*h + c*h**4 + d + n*h**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*(-2*(1 + sqrt(192))**2 + 1*sqrt(12)\/sqrt(4) + sqrt(3) + (sqrt(300) + -1)**2).\nAnswer: -100*sqrt(3) - 170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - (22 + -15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/5? (a) 1 (b) 0.5 (c) 5 (d) -1\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.704 (b) -12 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 - 1219 = 56*p + 937 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (-40)\/18 + 466\/(-9). Let g = p + 51. Let x(c) = 7*c**2 - c - 1. Determine x(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1024440410 (base 5) to base 7.\nAnswer: -24406015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3)*(-4 + 4 - 1)*(4*s**4 + s**5 - 4*s**4).\nAnswer: 3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -108. List the prime factors of h.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggggbbggb.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1694 + 9*h + 1694.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1874 (base 14) in base 6?\nAnswer: -32234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.138063 months in millennia?\nAnswer: 0.00001150525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -247*u**4 - 2*u**3 + 10*u**2 - 12949*u wrt u?\nAnswer: -2964*u**2 - 12*u + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5143\/3 in -2\/9, 2\/19, 316?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from rrvxprvvvuvvrvp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 15?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-9\/4))\/b**(1\/21))**42 assuming b is positive.\nAnswer: b**(269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/(-6) + 0 + (-15)\/(-45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/4 - 10875*l**4\/4 - 29397123*l**3\/4 + 921791479*l**2\/4 = 0. What is l?\nAnswer: -5453, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*r**5 + (-43*r**2 - 17*r**4 + 43*r**2)*(4 + 1 - 4)*(3*r + 3*r - 38*r).\nAnswer: 546*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 18 = 5*r. What is the greatest common divisor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -13. Let n = 33 + m. Which is the smallest value? (a) 2\/11 (b) -0.4 (c) n (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55141324 - 4?\nAnswer: 55141320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 155321935 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -16*q - 4. Let f(x) = -x**2 + 13*x + 13. Let l be f(14). What is the smallest common multiple of s(l) and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 139, 487, 1067, 1879?\n\"Answer: 116*o**2 + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 5 = 4*c. Let d(s) be the third derivative of s**4\/6 + s**3\/6 - 2*s**2. What is d(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 179. Let n(j) = 4*j**2 - 2*j - 6. Let y(b) = 3*b**2 - b - 5. Calculate v*y(g) - 2*n(g).\nAnswer: g**2 + g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 b when four letters picked without replacement from {j: 2, d: 6, b: 5}?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/15 - (-2)\/10)*153\/(-306). Which is the third smallest value? (a) 3 (b) -145 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1272280900?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9 and 3560823330.\nAnswer: 3560823321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2962*f - 2*f**3 + 2962*f.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 227*z**4 - 2*z**3 - z + 99.\nAnswer: 2724*z**2 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 4*h + 2*h + (-2*h - 6*h - 10*h - 3*h + 5*h + h + (5 - h - 5)*(1 + 2 - 5))*(1 - 5 + 2) in the form b*h + v and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 445705472?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -123000.35 rounded to the nearest 100?\nAnswer: -123000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 78 = -3*a - 76, 3*a - 281 = -2*f. Suppose 4*b = -b + f. Let q = b - 11. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/(-24) - 74\/(-8). Let w be 3\/(3\/(-8*(-4)\/t)). Solve -18 = w*g - 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11\/2555 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34451 - 34448. Suppose 3*k - 7*k + 60 = 0. Which is the third biggest value? (a) -5 (b) u (c) k (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 9*w**3 - 24*w**3 + 11*w**3 + 3*w**2 + 5*w**3 - w**2 to t + d*w**3 + p*w**2 + i*w and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21041712 a multiple of 846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence day when three letters picked without replacement from rjyrrayrrdyr.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3034620411?\nAnswer: 3, 17, 31, 1919431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lvq when three letters picked without replacement from kggqvggl.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518*h - 12027 = -3*h + 8573 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 1:11 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82\/71 in -3, -4, 1861?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p + 4*p + (1 - 1 + 1)*(4*p - p - 2*p) + 3*p - 3*p - p)*(0 - 3 + 1).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 21674126 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: Is 19 a factor of 166725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 271 + -262. What is the greatest common factor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1113)\/(-84)*1146\/(-10123)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 22*l + 70. Let o be j(24). Suppose w - o*w = -5985. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + 3*y + 37. Let h be u(0). Let t = 40 - h. Let d be (-27)\/18*(-4)\/t. Solve -d = x - p + 2, -10 = 4*x + 2*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, h: 2, j: 3, i: 5, x: 3}. What is prob of picking 1 t and 3 i?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**2 + 0*x**2 + x**3 + (2 - 2 - x**2)*(4 - 4 - 2*x) - 2*x**3 - x**3 + x**3)*(3*x**2 - 1 + 1).\nAnswer: 3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114*u - 114*u - 9*u**4)*(-4*u + u + u + (3*u + 0*u - 4*u)*(-4 + 2 + 1) + 5*u - 2*u - u - 2*u - 3 + 3 + 5*u - 3*u + 0*u).\nAnswer: -9*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 241*d + 1744. Calculate the remainder when 314 is divided by z(-7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ec7 - 0?\nAnswer: -ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 + -117. Let o = 575101.0111 - 575076. Let r = o - t. What is r rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2. Let k be x(-2). Suppose k = 5*b - 2. Which is bigger: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1784, 1485, 1186, 887?\n\"Answer: -299*q + 2083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11781 - -12515. Are 6598\/9 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 24*f - 28 - 72 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.1. Let d = 2.06 + -0.06. Let o = -2.4 + d. What is the second smallest value in 2\/5, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2270 and 10?\nAnswer: 2270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1769?\nAnswer: 1\/1769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppc when four letters picked without replacement from yppcmckymysppky.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -29. Let k = w + 16. Let b = -1.3 - -1.6. What is the biggest value in k, -1\/4, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -14910666219510.\nAnswer: -14910666219506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -139180 and 0.048.\nAnswer: -6680.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*i**2 + 2*i - 2*i - 541*i**2.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -17, 796, -2042 in decreasing order.\nAnswer: 796, 5, -17, -2042","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.157 - -0.243. Sort -7\/5, 1\/2, u, -1\/5.\nAnswer: -7\/5, -1\/5, u, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eighteen fifths of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -5*i + 2*i, -5*l = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 587877 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018839 to 5 dps.\nAnswer: -0.00188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = 8. Let d = 75 + -10. Suppose -4*q + 0*q + 50 = 2*o, -3*q + r*o = -d. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 426797 divided by -2167?\nAnswer: -426797\/2167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 236486719*c**3*u**2 - 20955*c**3*u - 2*c*u + 2*c - 5*u + 2 wrt u.\nAnswer: 472973438*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*l - o - 52, 0 = -o + 2. Let t = -258 - -259. Let c = t - l. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/3)\/((-2)\/6). Suppose -2*h = -a*h + 4. Is h <= 11\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 6?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 5 (c) 2 (d) 6\/5 (e) 4 (f) -0.1 (g) -368\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451388507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 5*c + 7. Calculate g(-3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 841700746?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11183350?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 304 - 275. Suppose -24*k = -2*n - 21*k + 59, n - o = k. Let r be 1 - (-1 - -1) - -139. What is the greatest common divisor of r and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) -1 (c) -0.12 (d) 7058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -74 + (-122 - -309 - 27).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 13*f + r = -335, 3*f - 502 = r. Let j = f - 165. Suppose 3*u = 4*u - 3. Solve 0 = -u*c - 2*q + 12, -c = 3*c - 2*q - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -27279600 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -485 and -3.\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 361, -305, -1443, -3071, -5207, -7869, -11075, -14843?\nAnswer: -19191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 3395?\nAnswer: 339.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36 + -291.7.\nAnswer: -255.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 21 + 682*m - 20 - 5*m**2.\nAnswer: m**2 + 682*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4150893?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1264292*0.1\nAnswer: 0.01264292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7690481008 to the nearest integer?\nAnswer: 87695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 67 + 131 - 64 + 0*h.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4351 and 18691667.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/12 + 35*q**4\/12 + 20*q**3 + 6*q**2 - 2*q. Factor w(i).\nAnswer: 5*(i + 2)*(i + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4676 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -474159?\nAnswer: 474155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/5, -0.01267, -120\/23?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.191\nAnswer: 0.0573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36070, 36062, 36050, 36034, 36014, 35990, 35962?\nAnswer: 35930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -38 (b) 1 (c) 0.89\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 91, 338, 741, 1300, 2015, 2886, 3913?\n\"Answer: 78*z**2 + 13*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 14 = -3*c, s + 2*c + c = -1. Suppose 5*v - 5*v + 8*v = 0. Suppose v = s*p - p - 16*p. Solve p = -6*a + 7*a + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-810)\/(-24))\/(-15))\/(-3)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -97757*b**3 + 39*b**2 - 6518395*b wrt b.\nAnswer: -586542*b + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/5*1*6.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 + 220. Is 22 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7150*g - 129 - 141*g**2 + 7150*g wrt g?\nAnswer: -282*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 + 24)*(-2)\/8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -2\/5, 2\/63, -36?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*l - 4033 = 8*l. Calculate the remainder when l is divided by 62.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 = -3*j + 5*i, -3*j + 0*j = 5*i - 182. What are the prime factors of ((-4)\/12)\/((-2)\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, -1, -4, 2, 8, -10 in decreasing order.\nAnswer: 67, 8, 2, -1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 2:41 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4598362933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.42 + 0.4. Let m = 0.02 - x. Let c = m - -0.8003. What is c rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23256 and 608?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 + 1)*(2 + 3 - 3) + 2 - 5 + 4 + (4 - 2 + 0)*(-5 + 1 + 3))*(-4 + 0 + 3)*(-315*o + 54862 - 54862).\nAnswer: 2205*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 41 + 47 + -113 + (0 - 26)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002 - 121000202021?\nAnswer: -121000201012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*w - 5*w, 3*w - 62 = -5*g. Let x(h) = -h**2 + 21*h - 40. Let s be x(g). What are the prime factors of 4 + (s\/3)\/((-6)\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 0 + 2 + 4*q to the form t + n*q and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 t, and 1 c when three letters picked without replacement from {n: 1, v: 1, a: 2, k: 1, c: 1, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s + 61 + 205 - 2*s + 684 + 6*s as h + w*s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2061218*l**3 + 2*l + 74624 wrt l?\nAnswer: 6183654*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54484706167 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25589996 divided by -94.\nAnswer: -272234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.56?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26861*j**4*t - 541*j**2*t + 14*j*t + t wrt j.\nAnswer: 644664*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - k + k**2 + 0*k. Let q(b) = 3*b**2 - 2*b**2 + 3*b**2 - 13*b + 9. Let r(w) = w**2 - 3*w + 2. Let v(y) = -2*q(y) + 9*r(y). Give -d(n) + v(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 17316810.\nAnswer: 17316810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 1485?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 2, -0.13, -2\/13, -1.38, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9469152 to the nearest integer?\nAnswer: 3077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 2, -0.2, 517, 1\/3 in decreasing order.\nAnswer: 517, 2, 1\/3, -0.2, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a - 36. Calculate the remainder when g(13) is divided by 2\/9 - 124\/(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyh when three letters picked without replacement from {h: 2, y: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4304011 - 1?\nAnswer: -4304012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + 12*y - 7. Let w be u(11). Let z = -16 - -20. List the prime factors of z - 4 - -43 - w.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 n, and 2 p when four letters picked without replacement from {j: 1, k: 2, p: 4, n: 2, d: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 8 = 25. Let x be -2 - (1 + y - 0). Let n = x - 3. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -606560 = -122*d - 101*d. Is 90 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -10*b**2 - 12*b + 1. Let g(h) = 11*h**2 + 14*h. Let q(a) = -6*d(a) - 5*g(a). Find the second derivative of q(i) wrt i.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 3*p**2 - p + 4. Suppose 4 = 4*r + 4*i, -3*i = -3*r - 5*i + 6. Let j be c(r). Let t = j + 27. Calculate the remainder when 20 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0\/(-1 + -2). Suppose 2*k - g = -9, 5*g = k + 6*g - 3. Let q be (k + i)*(-4)\/16. Which is the nearest to q? (a) 2\/21 (b) -0.3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 3*k**4\/4 - 6*k**3 + 63*k**2\/4 - 33*k\/2 + 6 = 0.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1163894 to the nearest integer?\nAnswer: 1079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/2*1\/3. Let x = -225975 + 225977. Factor -z*f**2 - x*f + 4\/3.\nAnswer: -2*(f + 1)*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*l - 1800 = -177*l. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**2 + 472*o - 471. Determine j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -257 - -373. Let y = 816\/7 - s. Which is the closest to -1? (a) y (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbshbhhoohosbhbhbbho. What is prob of picking 2 o and 1 h?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*49\/153 + -3.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1919, 5381, 10371, 16883, 24911, 34449, 45491?\n\"Answer: -n**3 + 770*n**2 + 1159*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 47*g**2 - 204*g + 53. Give t(51).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - 16*r - 14. Let q be t(-7). Which is bigger: -2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 51 and 918?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1\/3 (c) -5.8 (d) 6.6 (e) -3\/4 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2822, 2818, 2802, 2768, 2710?\nAnswer: 2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - (-7 + 10)) - 6) + -10.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 - 6. Solve 2*v - 8 = 4*f + c*v, 2*f + 19 = 3*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 8:47 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1)\/sqrt(9) + 2 + sqrt(325) + sqrt(325).\nAnswer: 2 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 32*w + 60 - 2881*w**2 + 1437*w**2 + 1445*w**2 = 0.\nAnswer: -30, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*r = -6*g + 112, -3*r - 44 = -g. Let w = g - 11. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 5*d**2 - 2*d - 1. Suppose l - 3*l + 3*p = 1, l = -5*p + 19. Suppose 5*u + 2*j = 2*u - 22, -l*u - 41 = 5*j. Give m(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -1460*q - 185. What is the units digit of p(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -9. Suppose 2*r + 10 = f*r. Let o(v) be the first derivative of -v**2\/2 + 2*v - 7. Give o(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 705 - 441. Calculate the greatest common factor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in grams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 2*k - 3 = 0, 0 = -b + 3*k + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 16 = -7*t. Let v = 24 - t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 285 = 93. Is 24 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6575263579+0.002\nAnswer: -6575263578.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 5*h - 8. Suppose 9 = 3*y - 5*a + 45, -3*y - a = 18. What is c(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110010001110110 - -11010101?\nAnswer: 100110010101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*p - 53 = -41, 0 = -v - 3*p + 23. Let q = 3 + -3. Let i(m) = m**3 - m. Let u be i(q). Solve v*k = -u*k - 2 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 7 - 8*i**3 - 7 + 4*i - 3135*i**2.\nAnswer: i**3 - 3135*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 16 = 5*i, -5*z + 11 = -i + 5. Suppose 3*t - z*t - 3 = 0, 0 = 4*o - 2*t + 461850. Let k = o + 56461. What is k rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4, 2*l - 6*u - 214 = -3*u. Calculate the remainder when 737 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10}. Give prob of sequence iiii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 6. Let f be c(-7). Let s be -4 + 2 + (f - -4). Suppose 0*h = h - 12. Solve 3*m - h = -s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1406 divide 31853158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*l - 27, -3*l + 2 = -5*l - 2*i. Let u be (l\/(-9))\/((-2)\/12). Suppose 3*k - u*k = 4. Calculate the remainder when 9 is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1216) + 2)*-5 - (3*sqrt(133)*5)\/sqrt(7).\nAnswer: -55*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1741121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4197, 4198, 4199, 4200, 4201, 4202?\n\"Answer: l + 4196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - 2\/4 - 39021\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5362 = -272*f - 1710 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 61 (b) -3\/5 (c) 4 (d) 110\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (28\/5)\/((-18)\/(-108765)).\nAnswer: 13, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -2*p - 108, 0 = p - 0*d + 2*d + 55. Let a = 79 + p. What is the remainder when a is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/984657 and -53\/201.\nAnswer: 65972019","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyeeyelyel. Give prob of picking 1 y and 2 e.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14024 divided by -52524.\nAnswer: -3506\/13131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 7*p**2 + 8*p - 3. Let c be z(6). Let q(i) = i + 12. Let l be q(-7). Suppose -c*v + 168 = -l*v. What are the prime factors of v?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 4 = 0, -m - 4*a = -5*m + 20. Let h = m + 5. Let f be (8\/(-9))\/(-4) + 192\/108. Sort h, f, -1 in increasing order.\nAnswer: -1, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwww. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-12))\/((-299)\/184 - 10\/(-8))?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 576 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -0.227, -1, -2\/15, 0, 41.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y + 3*y + 27*y as z*y + t and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from oogogg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6573, -26811, -60541, -107763?\n\"Answer: -6746*z**2 + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 5*s + 12. Suppose 17*b = 16*b + 19. Solve s*z + 4 = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 672?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1722 by -287.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*z = 19 + 24, -5*p + 3*z + 176 = 0. What is the remainder when 166 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 3. Let h(l) = -2*l - 4. Calculate -3*h(k) - 4*w(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -6*s. Let t(x) = -2. Let g = -35 - -42. Let b(j) = j - 7. Let p(l) = g*t(l) - 2*b(l). Calculate y(p(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 2*u**2 + 8*u + 3. Suppose -4*q = -2*q - 6, -3*q + 21 = -2*a. Let s be l(a). List the prime factors of 6\/(-9)*s\/(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12671 = 62*f - 162277. List the prime factors of f.\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 16*v**2 + 19*v - 25. Determine z(17).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 3*i**2 - 7743*i + 148857 = 0 for i.\nAnswer: -59, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 4*i = 0. Suppose 0*l + l = i. Suppose 0*k - k + 307 = l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -698000 rounded to the nearest ten thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -6787 and -61076\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -40.452482.\nAnswer: -40.452482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 17 = 5*g, 18 = 2*j + 5*g + 39. Let 1\/2*w - 1\/2*w**j + 1\/2 - 1\/2*w**3 = 0. What is w?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vrrvrvrwujrorvrjrjov. What is prob of sequence vjro?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1163993 is divided by 201?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13697 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 1 = -3*r, -2 = -5*b + r + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -41*w + 20. Let c be j(8). Let a = 461 + c. Suppose -8*s + 175 = -a. What is the remainder when 202 is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60765a (base 14) to base 5\nAnswer: 1312404113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a decade in months?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (9 - -3) - -28?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 88123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:16 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 3*r - 4171 = x, 3*x + 2*r = 2495. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 3:30 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 246736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34417600 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**2 - 5 - 5*b**2 - 4*b + 5*b**2 + 3*b**2. Let k be t(8). Let u = k + -22. Solve -u*v + 4*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 33 = -178. Let x(t) = -50*t**3 - 3*t - 2. Let l be x(-1). Let z = l + m. What are the prime factors of z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (18 - 17)) + -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.5. Let v = -70 + 65. What is the nearest to 0 in d, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18.814, 0.4, -1\/376, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 3*v + 10. Suppose -194 - 185 = -v*o + 2*z, -5*o = -z - 382. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23252466 divided by -11626233\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-18))\/((-370)\/(-6))*-2\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 0.012, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czzbccbcbcaaczxbac. Give prob of picking 2 c and 2 b.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 - 4*c**2 - c + 1. Let s be i(-2). Let f(j) = -5 + s*j**2 + 16 - 9 + j. What is f(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 27 - 15797*k**2 - 4841*k**2 - 31 in the form f*k + q + p*k**2 and give p.\nAnswer: -20638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37 - -28) + 15 + -31 + 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36383363 to the power of 1\/2, to the nearest integer?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50368 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -24. Suppose f - 3*f - 4*l = 10, j*f = -5*l - 10. Let c(d) = -7*d - 6. What is the remainder when c(f) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 11:36 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*k - 17*k + 43*k)*(2 - 3 + 3)*(-2*k**2 - 1 + 1).\nAnswer: -36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -1 - 4*m**3 + 6*m**3 - 3 - m**3. Calculate j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -217 - -280. What is the remainder when c is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151527 (base 9) to base 6.\nAnswer: 1554341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -3\/28*n**4 + 0*n - 3\/14*n**2 - 2\/7*n**3 + 3. Solve i(u) = 0 for u.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let d(t) = 5. Let g(o) = -2*o + 1. Let h(w) = d(w) - 4*g(w). Calculate h(u(q)).\nAnswer: -8*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j - 4. Let d be b(5). Let z(n) = 4*n**2 - 1. Let c be z(d). Suppose -s + c = 1. Solve -4*g - 28 = -s*v, -v = -3*v + 8 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*t**2 - 139*t**2 - 5*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 470714 and 1184.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10860 - 7543. Does 92 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaaiiia. Give prob of sequence aaii.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (-3*-1*sqrt(1700))**2 + sqrt(1700) + 3 - ((-4*(sqrt(1700) - (sqrt(1700) - (3 + sqrt(1700)))) + sqrt(1700))*-4)**2.\nAnswer: -231801 - 11500*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 9:58 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7196 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 2*y)*(-4 + 4 - 2*y) + 92*y**2 - 28*y**2 - 151*y**2.\nAnswer: -83*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w + 4*w + 828 = 0. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 8316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11259120 divided by 1720?\nAnswer: 6546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-703)\/111)\/(2\/6).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 5.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -5 - (3 + -1) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/30)\/((-2)\/(36\/(-1)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*b + 9 = -3*q, -8 = -2*q - 5*b. Let x be (40\/(-25))\/(q\/10). What are the prime factors of 165*(x\/40 - 1\/(-5))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7612*u - 59505 - 85123 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.141 + 1.641. Let z = -6.5 + t. What is the third smallest value in -0.5, z, 38\/5?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/4816 and -79\/7826.\nAnswer: 62608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1042.7 take away -0.0961?\nAnswer: -1042.6039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = -4*i. Let s(p) = -104*p**3 + 17*p**2 - 7*p + 9. Let f(y) = -46*y**3 + 8*y**2 - 3*y + 4. Let n(j) = 9*f(j) - 4*s(j). What is n(i)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 849 divide 6204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -4*c**3 + 2*c + 1. Suppose -2*s - 3 = -1. Let f be p(s). Let d = 12 + -4. Put -1, d, f in decreasing order.\nAnswer: d, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(-43)\/(t**(1\/4)\/t**(1\/3))*(t\/t**(-1)*t)**(5\/2)\/(t**5*t*t\/(t*t**5)) assuming t is positive.\nAnswer: t**(-179\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4785, 0.4, 0.5 in ascending order.\nAnswer: -0.4785, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -103 - -619\/6. Let i(u) be the first derivative of 0*u + 0*u**2 - 3\/8*u**4 - 1\/12*u**6 - c*u**3 - 1 - 3\/10*u**5. Suppose i(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4391959 is divided by 1120.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v = -5*k, 0 = 4*k + 2*v - 26. Let m = 11 + k. Suppose 3*f - m = 2*f. Calculate the greatest common factor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 16 = 2*w, w + 6*q - q - 8 = 0. Suppose 0 = 2*g + n + n, 0 = 2*n. Solve 4*y + g*y - w = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*t - 52*t = 40 - 1732 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1237, -1200, -1135, -1042, -921?\n\"Answer: 14*l**2 - 5*l - 1246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000853 to six dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 125205648.\nAnswer: 2, 3, 839, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.5 (c) -0.44 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31612.229 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18476 + -18481. Which is the second smallest value? (a) -1081 (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 718*j + 728*j - 1)*(3 + 0 - 1) + 2*j + 4*j + 28*j to x + a*j and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 213842253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 + -141. Solve d + x = 2*d - 10, -d + 25 = -c*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q + 3. Let u(f) = -3*f + 36. Let l be u(13). Let m be 0 - (6 + 1) - l. Let d(r) = 6*r + 3. What is m*d(g) + 5*v(g)?\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*m*o**4 + 2*m*o**3 - 2*m*o**2 - 8*o**6 + 463*o**2 wrt o?\nAnswer: -504*m*o + 12*m - 960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ef650 (base 16) to base 14.\nAnswer: -3ab6a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.6 (b) -5\/3 (c) 83 (d) -0.13 (e) -0.5 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 2*p + 5*p)*(-21 + 101 + 279)*(-1 + 1 - 1) to the form t*p + a and give t.\nAnswer: -718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-3)\/(-2) + (-2369)\/506*-22. Solve 218 = 14*u + a for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -25845.6.\nAnswer: -103382.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 3)*(-4*p**3 + 5*p**2 + 15*p**3 - 2*p**2) as a*p**3 + m*p + u + j*p**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**2. Let c(y) = -109*y. Let t(g) = -g. Let i(q) = 2*c(q) + 6*t(q). Calculate i(n(p)).\nAnswer: -672*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 526, 2167, 5054, 9313, 15070, 22451, 31582, 42589?\n\"Answer: 21*v**3 + 497*v**2 + 3*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**5\/3 + 310*c**4\/3 - 456*c**3 - 15488*c**2\/3 - 35776*c\/3 - 8480 = 0.\nAnswer: -159, -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*n = 2*n - 24, 0 = 5*v + 4*n - 72. Solve 4 = 4*w - v for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2435 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tat. Give prob of sequence tta.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133\/3260 - -240721\/1066020. Let g = -2\/109 + j. Which is the second smallest value? (a) 1 (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 2*t - 8, 5*b = t + 11. Let f = b - 0. Factor 0*p**4 - 2*p**4 + f*p**4.\nAnswer: p**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 12:45 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3) - 2 - (-24)\/(-9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 19. Let c = -10 + 5. Let z be ((-24)\/(-10))\/r*c. Solve -4*b - 3*y = -0*y + 18, -z*b = 2*y + 13 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (-8)\/(-5 + (-1 - -5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (504\/144)\/(10\/4)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - ((-646836)\/4370 - -57).\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -3, -100, -6, 5 in increasing order.\nAnswer: -100, -6, -3, -0.9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4654 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 2*n - 12, 839*y + 5*n - 33 = 828*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 165583 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/6)\/(1\/3). Calculate the remainder when a*((-5)\/4 - 1) is divided by (18 - 18) + 0 + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41225?\nAnswer: 5, 17, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 times -0.5?\nAnswer: 77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10118849 rounded to two dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5281 is divided by 439.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 4*q + 3. Let m be d(-4). Let y(h) = m*h - 7*h + h. Let l(x) = -18349 + 2*x + 18349. Give l(y(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 + 20976*a**4 + 83828*a**3 - 62936*a**2 - 293472*a - 167680 = 0. What is a?\nAnswer: -5240, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3559172 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -270527662, -270527669, -270527678, -270527689?\n\"Answer: -k**2 - 4*k - 270527657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -144117, -288253, -432389, -576525, -720661?\nAnswer: -864797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/4, 4, 3\/4, -1, -2\/47?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -3\/5*m**5 + 0*m**4 + 0*m**3 + 35*m**2 + 0*m + 69 + 8\/3*m**6. Find the second derivative of l(h) wrt h.\nAnswer: 320*h**3 - 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78987\/280 - -1741\/40. Let d = a - -239. Solve -6\/7*p + d*p**2 + 3\/7 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14375 - -32239. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 + -25. Let x = z + -2. Solve -y + s = -9, y - 1 = x*y + 4*s for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -20. Find the third derivative of -t*y**2 + 16*y**4 - 27*y**4 + 14*y**4 wrt y.\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 7 = -5*m + 14*a, -16 = 4*m + a for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/((-40)\/(-12))*3\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(6*m - 4*m + 13*m)*(4 + 1 - 4 + 2*m)*(1 - 7 + 3).\nAnswer: -180*m**2 - 90*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8 + 1.2. Let u = -1.11 - -0.21. Let i = 0.6 + u. Which is the biggest value? (a) k (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3062152 (base 7) to base 12\nAnswer: -159051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 + 86331*i**2 - 9532710*i = 0 for i.\nAnswer: -28887, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 0*r - 15\/2*r**2 - 36. Let j(p) = -7*p**2. What is j(n(d))?\nAnswer: -1575*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9601 - 163213\/17. Let v be 0\/(-1) + (3 - 3). Which is smaller: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23361844927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 169 + -169.3. Which is the second smallest value? (a) -1 (b) v (c) -0.039\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2762b (base 14) in base 10?\nAnswer: -97255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 13) in base 11?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sztzzuutztozzdo. What is prob of picking 1 d, 1 u, and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287323 = -37*z - 287878 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 738 (c) 0.3 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 150*l**2 - 677*l + 96. Determine v(45).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-480)\/(-240)*10\/(-4)*-2. Solve -q + p = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -995161*c*z - 877*z - 98 wrt c?\nAnswer: -995161*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4031*z + 261. Let h(v) = -31*v - 2. Let o(y) = -261*h(y) - 2*q(y). What is the remainder when o(1) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 222752 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 4. Suppose s = 2*r - 2*k - 3 - 15, -17 = -3*r + k. Suppose -38 = -r*t + 26. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -988 + 589. Let i = 695 + t. Suppose 2*s - i = -14. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p - 94 = -12*p - 142 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**2 + 2*o + 53. Let f(x) = -25*x**2 + 2*x + 158. Let j(q) = -4*f(q) + 11*w(q). What is j(-17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 3*t = -24 - 23, -48 = 5*k + 2*t. Let g be -5 + 2 - (k - 10). Suppose -11 = 3*a + a - 3*h, a = -4*h - g. Sort 4, -1, a in descending order.\nAnswer: 4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 8*o**2 + 8*o + 18. Let n = 4409 + -4400. Calculate j(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -174.\nAnswer: 7\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 380, 377, 364, 335, 284, 205?\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 478*i**2 + 44 - 1021*i**2 - 2*i + 2*i + 495*i**2. Let s(k) = k**2 - 1. What is -176*s(q) - 4*w(q)?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 15) in base 4?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.38, 3\/7, -2, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2002*a**6 + 2*a**5 - 45*a**3 + 9*a**2 + 3036 wrt a.\nAnswer: 240240*a**3 + 120*a**2 - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679 = -5*j + 726. Let z(v) = -15*v**3 - 77*v**2 - 104*v + 1. Calculate the remainder when j is divided by z(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3216306*l**3 + 52448500*l?\nAnswer: -19297836*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207198058*g**2*j**4 + g**2*j**2 + 647977127*g**2*j wrt j.\nAnswer: -2486376696*g**2*j**2 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, h: 5, n: 5}. Give prob of sequence nq.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 61714 divided by 118?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460670 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1, 293999?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93 and 0.14?\nAnswer: 13.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540.0416 litres to millilitres.\nAnswer: 540041.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let s(p) = 29*p + 37. Let v(c) = -4*r(c) + s(c). Differentiate v(d) with respect to d.\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/12)\/((-14)\/56)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.22 - -0.98. Let r = k + 1.8. Let o = -2.97 + r. What is o rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -135?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 264441, 527230, 790019, 1052808, 1315597?\n\"Answer: 262789*y + 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -238 or -237?\nAnswer: -237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, 67, 112, 137, 136?\n\"Answer: -s**3 - s**2 + 69*s - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w + 240 = 62*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*i**2 - 65*i + 127*i + 16*i**2 - 62*i.\nAnswer: 41*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**5\/9 - 32*a**4\/9 + 52*a**3\/3 - 296*a**2\/9 + 242*a\/9 - 8 = 0. Calculate a.\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0041 * 0.2.\nAnswer: 0.00082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.13 and 79866908.\nAnswer: 79866908.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -236 (b) 2 (c) -0.5 (d) 3 (e) 474\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - z + 21 = 0, 5*w - 4 = 3*z + 13 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*t = -14, -13 = 2*b - 3*t - 0. Let d(u) = 5*u + 6. Let w(r) = r + 1. Calculate b*d(s) - 6*w(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3062, 3048, 3024, 2990, 2946?\n\"Answer: -5*o**2 + o + 3066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -122871, -245660, -368367, -490992, -613535, -735996, -858375?\n\"Answer: 41*v**2 - 122912*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k\/k**(-2\/19)*k*k))\/k**(-18))\/(k*k**(-2\/3))**46 assuming k is positive.\nAnswer: k**(-25\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.551 - 164106?\nAnswer: -164113.551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/1*16\/(-39) + (703 - 698).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116985975 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-10\/3)*a)**36 assuming a is positive.\nAnswer: a**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -2, -28 in descending order.\nAnswer: 4, 3, -2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19038, 19036, 19034, 19032, 19030, 19028?\nAnswer: 19026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1297944 + -139?\nAnswer: 1297805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -322202 and -1?\nAnswer: 322201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 20. Solve -13 = 2*n + i*m, 0 = -n - 4*n - m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6 - -1 - 238\/(-210). Let d be (-6)\/(-20)*64\/6. Solve 2*n**5 - f - 2\/5*n - 8\/5*n**3 + 4*n**2 - d*n**4 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 31523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -44*b + 41*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 30 = -4*q, -2*l = 2*l + 2*q - 30. Let y(i) = 5*i**2 + 2*i**2 - 4*i - l*i**3 - 3*i + 4*i**3. Let d be (162\/36)\/(1 + 2\/(-8)). Give y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*a + 18728 = -19*s + 18610, -2*s - 4*a + 6 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + -1)*-4 + sqrt(12) + sqrt(192) + (sqrt(3) - (sqrt(3) - sqrt(54)\/sqrt(2))) + sqrt(3) + -1)**2.\nAnswer: 60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-25)\/60*-4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*q - 1 - 14*q + 11*q**2 + (0 - q + 0)*(2*q + q - q) - 102 + 102 + 16*q**2)*(q - 4*q + 2*q) to r + d*q**2 + j*q + w*q**3 and give w.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 28\/12*(-30)\/(-2). Let k(u) = -61 - 59 + 258 - 3*u - 67 + 2*u - 65. Let c(y) be the first derivative of -5*y**2\/2 + 35*y + 1. What is j*k(d) - 6*c(d)?\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21) - (-20)\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -128 + (-6 - (4 - 8)). Let s = f + 129. Let l = -16 + 21. Let a(m) = m**2 - m - 1. Let n(x) = 7*x**2 - 4*x - 5. Give l*a(i) + s*n(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 15, 53, 127, 249, 431, 685?\n\"Answer: 2*y**3 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 15*b - 3. Let i(c) = -c + 1. Let y(m) = -2*i(m) - n(m). Suppose -2*k + 2*d - 28 = -4, 0 = 3*d - 6. What is the units digit of y(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of 4*i**3\/3 - 15*i**2\/2 + 12*i. What is the first derivative of c(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 4*i - 104598 = 0, -45*i = -5*k - 52*i + 261519. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f**2 - 7*f + 5. Let i be h(2). Suppose 5*g = -i*u + 776, 2*u = 6*u - 2*g - 1000. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39\/380 + -19083\/2660. Let c = -56\/13 + 1117\/208. Calculate the common denominator of s and c.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88 - -84) + 6 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1))**(-29))**35\/((q\/(q\/((q*q**(-2\/15))\/q)))\/q**(2\/7))**(2\/47) assuming q is positive.\nAnswer: q**(5009113\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 1329 - 2108 = 0. List the prime factors of f.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -422*b**5*l**2 + b**5*l + 826*b*l**2 wrt b?\nAnswer: -8440*b**3*l**2 + 20*b**3*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-37 + 10 - -27)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 686 a factor of 109455254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2620*a + 8032*a - 2617*a - 2647*a.\nAnswer: 148*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - 0)\/(((-36)\/(-8))\/9). Which is the closest to j? (a) 2\/9 (b) 3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 0 + 0)*(3 - 2 - 3) - 3*t + t + 0*t + (47 + 28 + 31)*(3*t + 0*t - 5*t)*(3 - 4 + 5).\nAnswer: -846*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6107923*q**2 - 4*q + 681666 wrt q.\nAnswer: 12215846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**2\/7 + 180*c + 9952\/7 = 0. Calculate c.\nAnswer: -622, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u + 11. Let a be l(-8). Let r be a\/5 - (-1)\/(-5). Is r\/4*326\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*i + 1133 = 1475 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 10:28 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1311 + 1357 + -65 + 1.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -79802944 to the nearest 10000.\nAnswer: -79800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993975 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 1084 + 1429. Solve 10*z + c = 65 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 294043627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49314.7 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-10) + 756\/(-8). List the prime factors of q\/(1 - 3) - -3.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -4. Suppose -g*j + 4 + 86 = 0. Solve 2*c = 5*b + 6*c + j, 4*c + 16 = 2*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjiljljiijwwj. Give prob of sequence iwj.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = 3*s - 12*n, 0 = 5*s + 4*n. Solve 0 = -3*j - z + 2*z + 5, s = 5*j + 2*z - 23 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71838.35 weeks to microseconds.\nAnswer: 43447834080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -106341.1?\nAnswer: 212682.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 12 = w. Suppose -5*p + 982 = 3*r, w*r - 986 = -5*p - 0*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, e: 3, h: 3, k: 2, u: 5}. Give prob of sequence euh.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q - 2. Let g(d) = 2 - 2 + 4 + 2*d. Let j be -1 + -7 - 3\/(-3). Let s(l) = j*a(l) - 4*g(l). Find the first derivative of s(v) wrt v.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttsstts. What is prob of sequence tsss?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22019937.\nAnswer: 3, 2087, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - j)*(-21 + 7 + 5)*(-4 + 0 + 3).\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.1 (b) -3\/4 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4234641185.\nAnswer: 5, 21323, 39719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -5*i + 92. Solve -24 = -3*m - 3*w, -2*w - i = -5*m - 0*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125 bigger than 3061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 781 + -696. Sort -3, l, -1 in descending order.\nAnswer: l, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 16*f + 41. Calculate the remainder when 113 is divided by v(14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/(-6))\/(8\/(-12)). Suppose 0 = -s*f + 2*f + 9, 3*l - 129 = -f. Let j be (1 - 7)*(-28)\/l. What is the highest common factor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -14 - 298e8e?\nAnswer: -298ea3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 304, 129\/181, -6, 0.1, 0.3 in ascending order.\nAnswer: -6, 0.1, 0.3, 129\/181, 304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**6\/420 - h**5\/210 + h**4\/84 + h**3\/21 + 3*h**2. Factor w(v).\nAnswer: -2*(v - 1)*(v + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23526 and 2514.\nAnswer: 9857394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 55 + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5446 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.01 - 7.87. What is s rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 543\/11 (b) 5 (c) -19 (d) -0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -226*p. Let j(v) = -128*v + 402*v - 128*v - 140*v. Calculate g(j(q)).\nAnswer: -1356*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.21874 micrometers to centimeters.\nAnswer: 0.008221874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**5\/60 + t**4\/3 - 13*t**2 + 2*t. Calculate b(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*t = -0*t - 245, 0 = k - t - 40. Let d(q) = k*q - 86*q + 4 + 42*q. What is d(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1176.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -18156, -5\/4, -0.9 in increasing order.\nAnswer: -18156, -5\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 458 and 457 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/891830 and 31\/267549?\nAnswer: 2675490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -21*a**5\/20 + 4*a**4 + 2789*a**3\/6 - 30*a - 9. What is the second derivative of n(m) wrt m?\nAnswer: -126*m + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbab when four letters picked without replacement from {a: 1, b: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 17 = -2*d. Suppose 3*i - 595 = -d*i. Suppose 0 = 3*o + 4*k + 330, -o - 2*k - i = 27. Round o to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 3*a**2 - 2*a + 3. Let y be z(-3). Is 20 - y\/3 - -2 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 (-2)\/2*-3*(-12)\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 10*o**2 - 11*o - 4. What is x(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sqq when three letters picked without replacement from ssqqqqs?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -1, -0.27058, 1?\nAnswer: -0.27058","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o + 5. Let f be g(0). Suppose 106 + 33 = s - 5*i, f*i = 3*s - 437. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 23 - 3 + 19*j + 57 - 5. Let g be o(-8). Suppose -41 = -3*u - z, -g*z + 7*z + 50 = 2*u. Does 3 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 3404?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-48)\/(-21)))\/(15\/60).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 5*k**2 - 7. Let m(n) = 338*n + 2. Determine m(z(b)).\nAnswer: 1690*b**2 - 2364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -8. Let s(l) = 10*l - 290. Calculate -3*m(k) + s(k).\nAnswer: 10*k - 266","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 123, 240, 351, 456, 555?\n\"Answer: -3*z**2 + 126*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 303 divide 216705602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4855 - -3012. Let w = 7340 - j. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-10 + (-549)\/(-54)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + -8 - -9?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8023 + -2.\nAnswer: -1.1977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -9*f**3 + 8*f**2 + 19*f - 69. Determine k(7).\nAnswer: -2631","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113 + -132?\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (-1 + 4) - 1. Let d(s) = -2*s**2 + s**2 + s**3 - 34*s + 4*s**2 + 5 + 32*s. Calculate d(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 4*s - s - s + (-3*s + 0*s + 5*s)*(-3 + 2 + 3) - 257*s - 211*s + 432*s.\nAnswer: -30*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n**2 + n**3)*(-46*n - 4*n**2 + 46*n) + 3 - 2*n**5 - 3.\nAnswer: -6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z - 9 = 0. Suppose 2*c = j - 0*c + 4, z*c - 9 = 0. Suppose 0 = -k + l + 760, 0 = 4*k - 8*k + j*l + 3040. Round k to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -53 - (10 + (8 - 9) + -14 - -2 - -2).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1025 and 2686115.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0.5, 10, 0, 2\/3, -3.3, 8.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -27.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3040740003.\nAnswer: 3, 7, 17, 8517479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 6*k**2 + 14*k + 5. Let l(j) = 2*j**3 - 12*j**2 - 30*j - 9. Let x(n) = -3*l(n) - 5*o(n). What is the second derivative of x(q) wrt q?\nAnswer: -6*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 0*i + 0*i)*(-4 + 5 + 0) + 166*i + 12 - 26 - 163*i.\nAnswer: 4*i - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + p - 14 = 0, 0 = -a + 4*p + 9 - 20. Suppose 3\/5*z - 1\/5*z**a - 1\/5 - 2\/5*z**3 - 2\/5*z**2 + 3\/5*z**4 = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*r*v**4 + 10*b*r*v - 4*b - 3*r wrt v?\nAnswer: -4*b*r*v**3 + 10*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323*w + 145*w + 134*w + 99*w + 65*w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1003228946 to the power of 1\/3, to the nearest integer?\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 73603*i = 73601*i + 62, i - 3*i = -4*w - 72 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*u**4 - 84*u**3 + 27*u**2 + 84*u + 12 = 0. Calculate u.\nAnswer: -2, -1, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4*j + 12 = 0, 0 = -203*v + 204*v + 3*j - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 w when three letters picked without replacement from {w: 5, i: 4, o: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.04, 0.3, -7, 0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47053*31.\nAnswer: 1458643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**7\/70 + 5*u**4\/24 + 7*u**2. Find the second derivative of k(g) wrt g.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -29762 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -433 not equal to -433?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5196 = -3*m, -9*m = -4*d - 14*m + 6925. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11401840 rounded to the nearest 100000?\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 6 = -24. Suppose 35 = b*r - 25. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 1)*(4 - 4 + 2*a) + 406 - 836 + 80*a + 438 + 89*a to n*a + q and give n.\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + c = 93, -2*f = 2*c + 47 - 139. Suppose 26 = 4*k + 78. Let r = k + f. Calculate the remainder when r is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 3, y: 1, b: 4, k: 1, g: 2, f: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4230568 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*o**2 - 76*o**2 + 39 + 27*o**2 + 22*o**2 to j*o + m*o**2 + r and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l**3 - l**2 - 3*l - 2. What is a(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 11. Let g = d + -10. Solve 0 = -g*q + 6 + 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 12:36 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 21188 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 = -0. Suppose -k = 5*q - 12, 3*q - 2 = -u*k + 5*q. Calculate the highest common factor of k and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.07, -45\/4, -0.3?\nAnswer: -45\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*z - 39935 = 200*z - 259*z for z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*b**2 - 16*b**5 + 22*b**2 + (-1 + 3*b**4 + 1)*(-b + 0*b + 0*b) + (-5*b**2 + b**3 + 5*b**2)*(b + 2*b**2 - b).\nAnswer: -17*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 574*n + 36173. Calculate w(-63).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)*(f\/f**(-2\/27))\/f*f*f**(2\/29)*f\/f**(-8) assuming f is positive.\nAnswer: f**(37361\/3915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1740270693 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/2 - 15\/(-30). Solve -f*x = 5*w + 9, 3 = -4*x + 3*x - 2*w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 299, 543, 849?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 38. Let l be (-3)\/(-4)*s + (-39)\/(-52). Solve 0 = -2*y, 5*z - 2*y - l = -6*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183\/(-61) + (-3)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/10)\/((2\/(-10))\/(-1)). Suppose -34500020 = -z*q + 4*h, -h - 22999990 = -2*q - 3*h. Round q to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2\/7 + 373344*s\/7 - 11615478528\/7.\nAnswer: -3*(s - 62224)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*s - 14 = 17 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7079.\nAnswer: 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of h**6\/10 - 12*h**5\/5 + 39*h**4\/4 + 2*h**3 - 78*h**2 + 66*h - 6. Factor z(i).\nAnswer: 3*(i - 13)*(i - 2)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 + -27 + -25 - (111 + 3)) + (2 - -5)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*154987.7.\nAnswer: -619950.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -4*r - 88, -4*k = 786*r - 783*r + 66 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-69*t - 81*t + 0*t)*(-3*t + t + 4*t).\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102433?\nAnswer: 102433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*y + 120*y - 229986 = 474998. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 - 139*x - 66. What is k(70)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 80, 105, 138, 179, 228, 285?\nAnswer: 350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36652 - 3.\nAnswer: 36649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81*18.62966.\nAnswer: 1509.00246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = m + m. Suppose 5*o = -19 - m. Let s = -1 - -1. What is the second biggest value in s, 1\/3, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1260.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 22, 0 in ascending order.\nAnswer: -7, 0, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 57?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20142 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1 + 0*k**2 - 5*k + 11*k - k**2 + 8. Let m be g(7). Solve m*n + 4 = -4*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.27? (a) -2\/45 (b) 19 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.1, -0.3, -1\/91?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 + 2*c**4 + 0*c**4)*(65*c - 224*c + 68*c).\nAnswer: -273*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*d**2 - d + 19*d**4 + 13*d**4 - 1 + 3*d**2 in the form h*d + b*d**2 + a*d**3 + q + u*d**4 and give u.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -27.9, 0, 5, -2\/9 in ascending order.\nAnswer: -27.9, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -348*b**2 - 2*b. Let x(q) = 1724*q. Calculate x(r(n)).\nAnswer: -599952*n**2 - 3448*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5*f - 134 + 73 + 91 = 0, 12 = -3*c + 3*f for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from acacacp. Give prob of sequence cca.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 49 + -37. Suppose -g = -0 - c. What is the highest common divisor of g and 156?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 59*p**4\/12 + 2*p**2 + 749*p. Let v(m) = -2*m + 11. Determine q(v(r)).\nAnswer: -236*r + 1298","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:00 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 5*a**2 + 4*a. Let c be j(-4). Let l be (c\/1)\/(1\/1). Let w be ((-2915)\/(-1166))\/(1\/(-2) + 1). Solve 2*n - 5 - w = l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 2 = 3*m. Suppose 3*c - 18 = 2*o, 3*c = 7*c - 3*o - 24. Let w = c + m. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -3 + 13 - (-2 + 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*u - 57, 2*r + 0*u = 5*u - 99. Let w be 15\/6*r\/(-35). Solve -8 = m + w*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 - 6*k**3 + k**3)*(-7 + 3 - 9).\nAnswer: 52*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is b4a41a (base 15) in base 8?\nAnswer: 40611734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 2:30 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12\/11 + 79\/22. Sort -1, 1, k in decreasing order.\nAnswer: k, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8915545.3 from -1.\nAnswer: -8915546.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.46 - 9.\nAnswer: -1.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*r - 4, -4*y + 2*r - 4*r + 4 = 0. Suppose -y*q = 42202713 - 5002713. What is q rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rn when two letters picked without replacement from {r: 5, n: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -n - 2, 0 = 5*d + 18*n - 22*n + 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-1 - 2)) + (-25 - -20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45 + 3\/2*h**3 - 3\/2*h - 45*h**2.\nAnswer: 3*(h - 30)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -3*((-106)\/3 - -1) is divided by (11 - 7)\/(12\/63).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**3 + 2*m**2 - m + 9. Let w(a) = -a. What is g(k) + w(k)?\nAnswer: 4*k**3 + 2*k**2 - 2*k + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 1\/3*x**4 - 4\/3*x**3 + 0 - 1\/60*x**5 - 4*x**2 - 9*x. Let v(m) be the first derivative of r(m). Calculate v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2087091 divided by -16179?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 849 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4 = -4*w, -43*n + 8 = 8*w - 48*n. What is the second smallest value in w, 3\/7, -8\/109?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 + 55 + -93 + 10.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55395521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*t - 55*t**3 + 1857*t + 597*t + 363*t.\nAnswer: -55*t**3 + 3041*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1140)\/36)\/(-19)*(-4)\/6?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/272 (b) -5211\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12\/31 - -141\/124. What is the second smallest value in 2, -2\/3, -0.1, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/21 and -44\/117?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let a = -494 - -496. Let q(k) be the second derivative of 1\/2*k**a + 0 - 6*k + 1\/6*k**3. What is q(j) - s(j)?\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*u + 29 - 29 to the form z + b*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*c + 3*q - 4, -2 = -c - 5*q. Suppose 9 = -3*y - 3*j, -4*j = -138*y + 143*y + 13. Which is smaller: c or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 11*o**2 - 119*o - 94. Give t(14).\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11870 + -11866. Solve -j = 5*q + 7, -167*j + 172*j = -f*q - 14 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 56*n**2 + 97*n + 8. What is v(5)?\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*t + 72*t + 1624*t**2 - 5812*t**2)*(2 - 2 + t).\nAnswer: -4188*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 30791853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 138\/63 + (-10)\/(-70). Solve -1\/3*i**2 + 0 + q*i**5 + 5*i**3 - 2\/3*i - 19\/3*i**4 = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102790)\/54100*10\/76?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscssssscb. Give prob of picking 4 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 219*d**5 + 201*d + 790. What is the derivative of b(w) wrt w?\nAnswer: 4380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q**3 - 5077*q + 1266*q + 1269*q + 1274*q + 1268*q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -9, 77 in decreasing order.\nAnswer: 77, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 - 6*k**2 - 3*k - 11. Let y(x) = 2*x**3 - 11*x**2 - 5*x - 22. Give 5*h(l) - 3*y(l).\nAnswer: -l**3 + 3*l**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 1:14 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1)*k)**3\/(k**(-4)\/(k*(k\/(k\/k**(-6))*k)\/k*k)) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67\/20 + -3\/20. Let z = 17 + -20. Is z at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 441777*o**2. Let y(w) = 3*w. What is f(y(j))?\nAnswer: 3975993*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3072 divided by -384\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -18*t**2 - 8*t - 17. Let r be z(-5). Let o = r - -427. Which is bigger: o or -1.31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-3)*w)\/(w\/(w*w**(-1\/13))))\/((w*w**12)\/w**1) assuming w is positive.\nAnswer: w**(-183\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 - (-68 - -48)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.5 (c) 20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*f - 19, f - 5 = d - 0. Let k(q) = -q**2 - 4*q + 5. Calculate k(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 11, z: 3, p: 1, f: 3, t: 1}. What is prob of picking 1 t and 1 p?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - l - l)*(-1 - 1 + 3)*(-2*l**2 + l**2 + 7*l**2).\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-18 - 6)) + (3 - 19) + 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19547 = 142*p - 153*p. List the prime factors of p.\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9987.8 + -9988. Sort -2\/7, f, 4, 2.\nAnswer: -2\/7, f, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 63652, 127300, 190948, 254596?\n\"Answer: 63648*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -69, 520, 4 in descending order.\nAnswer: 520, 4, -15, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-85)\/(-204))\/(120\/36))\/2?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -990 + 34*d + 8*d**2 + 1050 + 0*d.\nAnswer: 8*d**2 + 34*d + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3804865*m. Let c(o) = -12*o**2. Determine c(i(y)).\nAnswer: -173723972018700*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 510*p**2 + 2*p + 2. Is 30 a factor of a(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16110.76 to zero decimal places.\nAnswer: 16111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*h*r**2 + 4164*a*h*r - 4*a*h - 2*a*r**2 - 127*h*r**2 + 22*r**2 wrt r?\nAnswer: -4*a*h - 4*a - 254*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (14 - 9) + -9.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 305675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 o, and 1 f when three letters picked without replacement from {l: 2, f: 1, o: 1, t: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*l + 2)*(l - l + 2*l) + (-2 + 4 + 5)*(l**2 - l + l) + 16*l**2 - 1 + 16*l**2 - 36*l**2.\nAnswer: 9*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 1161, -17.5 in descending order.\nAnswer: 1161, -17.5, -211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 36. Put 3, 3\/2, d in ascending order.\nAnswer: 3\/2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -147.5948 to one dp.\nAnswer: -147.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2749?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135030997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8127 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/22 and -71\/748.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65049552 - 0.31.\nAnswer: -65049552.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + z + 0)*(-6*z - 9*z + 71*z**2 + 2 - 69*z**2).\nAnswer: 2*z**3 - 15*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 46*s**3 + 4*s - 2*s**2 - 52*s**3 + 4*s**2 + 0*s**2 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1055165 to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14299 - 14293. What is the closest to d in -0.1, -4\/3, 119?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let s(f) be the first derivative of -3*f**4\/2 - 41*f - 34. Let h(q) be the first derivative of s(q). Determine h(d(z)).\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2555, -1\/7, 2173, 1\/4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = s + 4*f, -101*f + 103*f = -6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 20*o**2 + 23*o + 20. Let k(c) = 7*c**2 + 8*c + 7. Let q(h) = 17*k(h) - 6*w(h). Factor q(b).\nAnswer: -(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/5, -9\/34, 0.04, 0.1, -3\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 20\/54309 and 13\/774?\nAnswer: 325854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-5000))\/((-132)\/(-880))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m**(-7)*m)\/m)\/(m\/m**9*m*m))**(-7\/5) assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 13*r + 95. What is the remainder when (2 - 3) + r + 4 is divided by -4*(-1 - -2)*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-300)\/(-75))\/((-252)\/(-7))\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1503 is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1657081 - -42\nAnswer: -1657039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -18. Let p = 5.1 + b. Put 0.6, -4, p in decreasing order.\nAnswer: 0.6, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-102)\/357*4\/(8\/3).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 21\/6)*4. Let u(d) = -2*d + 9. Let l be u(z). What is the greatest common factor of 143 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001445060899 to 6 dps.\nAnswer: 0.001445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18637 + -18640. Which is the nearest to -4? (a) f (b) 4\/283 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -219 + 211.68. Let n = -7 - m. Let q = n + -0.31884. What is q rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -925*a**3 - 10 + 3*a - a**4 + 925*a**3 + (2*a**2 - 4*a**2 + 4*a**2)*(-2 + 2 + 2*a**2) to u*a**3 + n*a**4 + z*a**2 + t + x*a and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 1, 7, 3 in decreasing order.\nAnswer: 8, 7, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((176\/168)\/11)\/((-3)\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17272228*k - 17272228*k - 8*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -20, 12, -4, 1, -59.\nAnswer: -59, -20, -4, 1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 11*h + 4. Let j be t(10). Let s = j - -9. Solve 0 = 6*y - y + k + s, -k = -5*y - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 AM and 5:02 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*1*(-1)\/(-3). Suppose v = -2*j + 4*j - 52. What is the remainder when j is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 5 + 2*r**2 + 2*r + 4*r + 5*r. What is the units digit of s(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = 4*o - 185. Suppose o*l - 744 = 1419. What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110\/9 + -1511\/117. Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*(i\/(i\/i**(-10))*i*i)\/i)\/(i*i\/(i\/(i**2*i)))**37 assuming i is positive.\nAnswer: i**(-167)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20))**2*-2 + (sqrt(5) - (sqrt(20) + (sqrt(20) - (sqrt(980) + sqrt(20))))\/sqrt(4)) + (sqrt(200)\/sqrt(4))\/sqrt(10) + sqrt(45) + -1 + -3.\nAnswer: -44 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(425) - sqrt(425)) + -2)**2 + (5 + sqrt(425) + 1 + (sqrt(425) + -1*sqrt(425) + -1 - sqrt(425)))**2.\nAnswer: 60*sqrt(17) + 3858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180789337 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 23 = -27. Suppose -37 = -5*c + g, -2*c + 5*g + q = 3*g. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -t**3*w + 40*t**3 + 57*t**2*w + 8*t*w - 915*t wrt w?\nAnswer: -t**3 + 57*t**2 + 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(171)\/(sqrt(900)*-1) - (-5 + sqrt(19)*-3)*-5).\nAnswer: -151*sqrt(19)\/10 - 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrriaaraaia. Give prob of sequence ria.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000724762506 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -4*b - 10, 3*h + 3*b + 5 + 4 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) 2\/3 (c) -103\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212768214*b**4 - 1590*b + 60766 wrt b.\nAnswer: 2553218568*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17232 is divided by 2875?\nAnswer: 2857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 395 divide 104459330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.257776 microseconds in weeks?\nAnswer: 0.000000000033495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*3*(6 - (-119)\/(-21))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let g(w) = 4*w + 9. Calculate g(a) + 5*m(a).\nAnswer: -a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1585 + -1582. Let n(f) = -f**3 + f**2 - 3*f - 6. What is n(k)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*0.05.\nAnswer: -0.075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 4\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**2\/8 - 1613*z\/4 - 11985 = 0. Calculate z.\nAnswer: -3196, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(119) - (((sqrt(119)*2 + sqrt(119))*3 - sqrt(119)) + sqrt(119)))\/(sqrt(42)\/(-3*sqrt(6))*-2).\nAnswer: -15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944563399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -234, -222, -206, -186?\nAnswer: -162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**3 - 14*p**3 - 3 + 0*p**3 + 0 + 3*p**3.\nAnswer: -9*p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -89069.\nAnswer: 178138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f + 148. Let w be m(8). Suppose -5*z + 30 = -v, -z + v = -9 - 1. Suppose z*l - w = -0*l. List the prime factors of l.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 56*i**3 - 40*i**2 - 102*i - 48. Let l(w) = -w**3 + 2. Let r(o) = c(o) + 6*l(o). Let r(x) = 0. Calculate x.\nAnswer: -3\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 35*k - 208 = -7*k + k, -11 = 30*i - 28*i - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049279 to five dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*c - 286 = 13*c - 69*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -31*z**5\/60 - z**3\/6 - 37*z**2. Let h be i(2). Let n = h - -131. Solve 6 = 4*g - n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -4, -5, 5, 2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) + (-69)\/(-15). Let p be 1\/(9 + 175\/(-20)). Suppose -2*z = -x - 10, p*x = -h*z + z + 20. Which is smaller: x or 3\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -234420 (base 5) to base 2\nAnswer: -10001000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 18*r - 137 + 437, -4*r = -r - 48 + 99 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15825 - 15824.9999986575. Round r to 7 decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-16)\/m**(-1\/2))**(2\/3) assuming m is positive.\nAnswer: m**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 15*l = 4*n - 2504, 3*n + 4125 = 5*l. Does 43 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**7\/14 - m**6\/10 - 9*m**5\/20 + m**4\/4 + m**3 + 11*m. Let v(b) = 0. What is b?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + (sqrt(104) + sqrt(104)*2 + sqrt(104))*-2)\/sqrt(2))\/(5*(sqrt(144)*-3 - sqrt(144)) + sqrt(144) - sqrt(144)).\nAnswer: 7*sqrt(13)\/120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 81 = -2*i. Put -5, -10, i, -3 in decreasing order.\nAnswer: i, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let a(j) = 95*j. Calculate s(a(m)).\nAnswer: 9025*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 257175883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4868 is divided by 147?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 782994.\nAnswer: 2, 3, 37, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**6 - 84*q**5 - 14*q**4 + 4*q**2 + 2*q + 471?\nAnswer: -120*q**3 - 5040*q**2 - 336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36063 = 4*b + 3*d, 2*b - d = 913 + 17106. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8*(1 + 3). Let k(y) = 2*y - 10*y - 4 + 6*y. Calculate k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 1 = -9. Is (34\/j)\/((-1)\/(-6)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -13, 5, -0.6, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187159.\nAnswer: 7, 26737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -3*f + 462, -13*s + 10*s = 4*f - 623. Find the third derivative of u**5 - 163 + 4*u**2 - 15*u**3 + 14*u**2 + f wrt u.\nAnswer: 60*u**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 16*c**2 - 2*c + 7. Let d be j(-11). Suppose 26*v + 36 = d. Solve 10 + 1 = 2*n + 3*q, -4*n = -3*q + v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 8*v + 17. Let n(j) = -4*j - 6. What is the remainder when n(-5) is divided by k(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.096541 + 0.096541. Let x = 103\/126 + 1\/63. Which is the nearest to 3? (a) f (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - v + 245, -4*h + 487 = 5*v. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12812 (base 16) to base 3.\nAnswer: 10211222012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.91 + 0.09. Let t = -2 - -5. Let v = t - u. Which is the smallest value? (a) -0.5 (b) -0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10616804 divided by 4?\nAnswer: -2654201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (-9676)\/(-22) + ((-513)\/(-99) - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000100 (base 2) in base 11?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16369153 by -5.\nAnswer: 16369153\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3991, -0.4, -0.1, -61, 4\/9.\nAnswer: -61, -0.4, -0.1, 4\/9, 3991","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*n**2 + 25*n**2 + 9*n**2 + 8*n**2.\nAnswer: 19*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 5*n - 11572, -4*d - n - 3*n = -23172. Let j be 65959\/(-5) + 16\/20. Let y = d + j. Round y to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w - 4*w + 3*w)*(119047 - 2*w**3 - 118506 + w**3).\nAnswer: 7*w**4 - 3787*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + (27 - 4\/(-1)). Calculate the highest common factor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*n - 1333613 + 41537 = 0. Let m = n - 11532. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46388 - -46843. Calculate the highest common factor of 1435 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29899\/28 + -1068. Suppose -9 + 16 = 7*d. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljn when three letters picked without replacement from {n: 1, j: 3, b: 1, l: 2, o: 3}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 611938?\nAnswer: 2, 23, 53, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045 times -4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 257489 by 238.\nAnswer: 257489\/238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10366062641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/151 greater than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 9 = -4*o. Let r be (-210)\/(-200) + (-1)\/o. Let d be (-2)\/8 - 19\/(-12). Which is the second biggest value? (a) 1\/4 (b) r (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = u. Suppose u = -w - 2*w + 45. Suppose 3*y - 4*y + 3*k = -w, -4*y + 2*k + 50 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 6520*l - 2656900.\nAnswer: -4*(l + 815)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -972.28 less than -3?\nAnswer: 969.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/48 and -25\/528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g - 45 + 1 + 2*g**2 + 29 + 4*g.\nAnswer: 2*g**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from aaaaoaaaaaaaaaaaoaoa.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0184667 to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/3)\/((-6)\/(-38)). Let b = -14 + w. Suppose -53 = b*j - 283. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 68 = 3*n + o, -5*n - 2*o = 112. Let j(q) = -q + 39. Let z be j(0). Let r = z + n. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 838 - 838. Solve q = 37*j - j + 180 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 14*g - g)*(-4 + 2 + 4)*(-g + 5*g - 3*g).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 12 + 1\/10*l**5 + 3\/4*l**4 - 3\/2*l**2 - 4\/3*l**3 + 7\/2*l. Factor g(w).\nAnswer: (w - 1)**2*(w + 1)*(w + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 2*j**5\/5 - j**4 - 14*j**3\/3 + 20*j**2 - 24*j - 25. Let k(w) = 0. What is w?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2.44, 0, 1\/167266 in increasing order.\nAnswer: 0, 1\/167266, 2.44, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (114\/(-21) - (-30)\/70) + (-144)\/(-32). Is 21\/101 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -86092057\/3 at most as big as -28697352?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofofokodfo. What is prob of sequence ofko?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 529, 0, -19, -1 in increasing order.\nAnswer: -19, -7, -1, 0, 529","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1 - 3?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -10. Suppose 198 = t*s - 3*v + v, 0 = -s - 3*v + 60. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*c**3 - 40*c wrt c?\nAnswer: -756*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 782 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: What is prob of sequence zf when two letters picked without replacement from ezuzxzxzzfzzzfc?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*y = -3, -2*q - 3*q - 4*y = -4. Let l = q + 4. Let c = -36 + 40. Calculate the highest common factor of l and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64*z - 74*z - 181*z + (z + 0*z + 0*z)*(2 + 2 - 2) to the form i + u*z and give u.\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 994552730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 - 0.7. Let u(s) = 15*s - 10*s + 11 + 11. Let h be u(-5). What is the closest to 0 in h, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.0072 - -0.0372. Let g = 0.03 - n. What is the fourth biggest value in g, -1\/4, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 927433 times -0.0552?\nAnswer: -51194.3016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 900.\nAnswer: -5\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/12291368 and -137\/73748208.\nAnswer: 73748208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 17*q**2 - 892*q - 16063. Give o(-19).\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 60, 141, 248, 393, 588?\n\"Answer: 2*y**3 + y**2 + 64*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 463205 (base 13) to base 10\nAnswer: 1663472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264, -709, -1676, -3351, -5920, -9569?\n\"Answer: -31*c**3 - 75*c**2 - 3*c - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -36, 2, -3.\nAnswer: -36, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9195 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*f - 81 = -5*t, t + 144*f - 146*f + 12 = 0 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 106*a**2 + 7*a + 1. Let m(k) = 158*k**2 + 10*k + 2. What is 7*d(v) - 5*m(v)?\nAnswer: -48*v**2 - v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 >= -3394\/745?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7572859\/13 or -582528?\nAnswer: -582528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 1910 + 1212 = 0. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1733 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6676.994923 - -6677. What is c rounded to 4 dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*r - 11 - 57 = 3*m, -5*r - 2 = 2*m for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(200) + -2 + sqrt(200) + 1 - (2*(sqrt(2) - (sqrt(4)\/sqrt(2))**2 - sqrt(2)) - sqrt(128)*2))*2.\nAnswer: -432*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**3 + 2*d**3 - d**3)*(-2 - d + 2)*(-6 + 2 + 2).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -15985 and -15982 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 116 (base 12) to base 13\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8176 - 38071?\nAnswer: -46247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + s - 44 = 0. Suppose -6*p + 2*p + 15 = h, -5*p - s = -3*h. Solve -5*f - 5 = 0, -a + 3*a = f + h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, f: 2, y: 1, e: 2, t: 1}. Give prob of picking 1 t, 1 y, and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -66*n**2\/5 - 27*n\/5 + 3\/5 = 0.\nAnswer: -1\/2, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53645563.\nAnswer: 29, 1849847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1395*x**2 + 1419*x**2 + 2 + 0*x + 0*x.\nAnswer: 24*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 5*d**2 + 10*d - 1. Let g be a(-2). Solve g*n - 12 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ly when two letters picked without replacement from {h: 4, y: 5, l: 2, u: 2}.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (42 + 1 - (-571 + 591))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 - -74. Let u(p) = p + 8 - 14 + v. Calculate u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 - 10*i**2 - 25*i - 69. Let w be j(-9). Solve 48*z - 33*z = w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 1506961389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15516, 61874, 139130, 247278, 386312, 556226, 757014, 988670?\nAnswer: 1251188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of -r**6\/120 + r**5\/15 - r**3\/6 + r**2. What is h(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*h + 1531 + 1100 - 406 = -15 for h.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*n**3 + 2*n**3 - 2 - n**4 + 2*n**4 + (-4*n**2 + 4*n**2 - 2*n**3)*(1 - 1 - 2*n) + 34*n**3 + 7*n**4 - 34*n**3.\nAnswer: 12*n**4 - 5*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 2*j + 18565071*j**2 + 2*j - 18565071*j**2 - j**3.\nAnswer: -j**3 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 69?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 72579245797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 38853320.\nAnswer: 1\/38853320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 + 5*x**2 + 0*x**2 + 18*x**2 + 30*x**2 + 26*x**2 + (6*x - x - 3*x)*(-3*x - 2*x + 3*x))*(-2*x + 2*x - 2*x**2)*(-3 + 1 + 0).\nAnswer: 288*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/(-4)) + 8. Suppose -u + 0 = -2*i. Factor -2 + 0 + 1 + d**i.\nAnswer: (d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -339160 divided by -1112.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4.8. Let g = l + 0. Let s = g - 3. Round s to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78434\/21 + 3739. What is the common denominator of v and -40\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -11*i + 4. Suppose 5*h - 65 = 5*v, 2*h = v + 19 + 3. Suppose -3*r + 3*z = 0, 3*z + 10 = 2*r + 6*z. Let t(n) = 5 - 1 - 5*n - r. Give h*t(l) - 4*c(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-4\/7)\/y)**46)**(-2\/141) assuming y is positive.\nAnswer: y**(1012\/987)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*f - 33*f = 5*d + 60, 2*f = 4*d + 46 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -485*r + 14683 + 3262 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 21*d**2 - d**3 - 36*d**2 - 15 + 0*d**3 - 2*d. Let y be j(-15). Solve 5*x + 0 + y = -t, x - 4*t + 3 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695*k*p**2 + 536*k*p wrt p?\nAnswer: -1390*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 4 - 14 = 0. List the prime factors of ((-1)\/k)\/((-22)\/(-2860)).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 21\/(-14)*(-24)\/9. Suppose 0 = 11*z - 7*z + c. Is 10890\/24 + z\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3342134 (base 5) to base 12.\nAnswer: 2a204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 3, -3, -2\/9, -16, -12.5?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6931 - -9849. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 - h - 11. What is u(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 66305357 + -102?\nAnswer: 66305255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1664 to 2 dps.\nAnswer: -4.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 19*t**5\/5 - t**4\/4 + 1338*t + 3381. Find the first derivative of v(q) wrt q.\nAnswer: 76*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**4\/24 + i**3\/2 + 5*i**2. Let m be r(-1). Let d = 3 - 8. What is the nearest to m in d, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -70, -281, -632, -1123, -1754?\n\"Answer: -70*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y + y - y - 6*y - 3*y. Let a be (-2)\/3*27\/(-6). Let g(q) = -32*q**2 - 12*q**2 + a*q**2. What is u(g(p))?\nAnswer: 41*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-4)*k)*k*k*k\/(k*k*k*k**(-2\/43)*k)*(k\/(k*(k**20*k*k)\/k*k))\/(k\/(k*k**(-2\/45))) assuming k is positive.\nAnswer: k**(-36761\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9304625683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -3596199.61 to the nearest one hundred.\nAnswer: -3596200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 82687\nAnswer: 82685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 8 = 4*n + 4, -12 = -4*w - 2*n. Let y be 2 - (-2 + 0)*(w + 0). Solve -y = -4*l + 12 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20 from -114741219.\nAnswer: -114741239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 2 + 0 - -1. Let a be g\/(3\/(1 + 20)). Let z(p) = p**3 - 6*p**2 - 3*p - 7. Let w be z(a). Solve 0 = -4*m + 1 - w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 2, l: 8}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -453, -2\/3, -3.\nAnswer: -453, -3, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -785354, -785370, -785392, -785426, -785478, -785554, -785660, -785802?\n\"Answer: -j**3 + 3*j**2 - 18*j - 785338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1628900443 to the power of 1\/4, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*q + 14 = 0, 3*a + 5*q = -2*a - 40. Let v = a + 23. Does 2 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 818566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7643.72 + -7362. Round d to the nearest 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9673 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27025984 a multiple of 808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 79*g - 1038. Give v(13).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 3) to base 7\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -137*a**5\/5 - a**2 - 124*a - 53. What is the second derivative of c(y) wrt y?\nAnswer: -1644*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 55.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (64\/48)\/((-16)\/60).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6957 - -12173. What is the thousands digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -7*t - 1\/4*t**4 + 1\/2*t**2 + 5\/3*t**3 + 3. Give b(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**3\/11 + 96*r**2\/11 + 186*r\/11 + 92\/11 = 0?\nAnswer: -46, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -5*l - 30, -5*i = -l - 875 + 825 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**4\/4 + 2*d**3 - 3*d**2\/2 + 5*d - 5. Calculate b(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161197187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 680.6 + -680.2. Which is the biggest value? (a) -5 (b) 994 (c) 0.2 (d) o (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23754728?\nAnswer: 2, 157, 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**7\/21 - 4*o**6\/15 - 9*o**5\/5 - 10*o**4\/3 - 7*o**3\/3 - 72*o. Factor p(s).\nAnswer: 2*s*(s - 7)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 481 and 3835.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.38 + 26.62. Let y = -23 + g. What is the smallest value in 5, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52899*j**4 + 3*j**3 + 6775*j**2 + 13.\nAnswer: 1269576*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*w + 1394 = 37086, 4*y + 4*w - 35732 = 0. Is 16 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -3*f + 771 - 746, r + 192*f = 560 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 5 - (1 + -2)) + 1 + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -r + 22, -2*r - 34 = -4*r - 5*x. Suppose r = -3*g, -2*g - 38 = -k + 19. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -2843.\nAnswer: -66\/2843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 0*j + j + 22, 4*g + 3*j - 29 = 0. Suppose -5*o + o = 2*o. Sort g, -2, -1, o in ascending order.\nAnswer: -2, -1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 2889415 - 12180415 = 0. Round x to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 11:44 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0036 - -4.0036. Let b = -0.18 + -0.02. Let u = -1.8 + b. Sort y, -2\/9, -5, u in descending order.\nAnswer: y, -2\/9, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - 233?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 191.226, -2, -2\/11, 2\/5 in ascending order.\nAnswer: -2, -0.4, -2\/11, 2\/5, 191.226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 476125832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 352430 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -124 - -b5a312?\nAnswer: b5a1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11239?\nAnswer: 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110 (base 4) to base 13\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(-90)*(-7)\/(-7)*7\/1.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + (3 - (-20)\/4). Let w be 1\/3*t\/1. Solve 0*z - 24 = -4*z + 2*c, -w*c - 4 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101000100 (base 2) to base 6\nAnswer: -12340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 i, and 1 f when three letters picked without replacement from iuwwiwpvwuiwwvwiivwf.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 + 13. Let r(t) = 5*t**2 - 6*t - 6. Let c(m) = -6*m**2 + 5*m - m**2 + m**2 + 5 + 2*m**2. Let j(g) = y*c(g) - 5*r(g). Factor j(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaffgaafa?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*c + 296 - 802 - 654. Let v(s) = -s**3 - 30*s**2 - 27*s + 58. Determine v(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 24.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 29 + 12 - 13*m)*(2*m**3 - 5*m**3 + 2*m**3).\nAnswer: 13*m**4 - 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167512081?\nAnswer: 11, 761, 20011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (258*p - 705 + 362 + 345)*(0 - 2 - 4) as d + n*p and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 3*i - 11 = -9*x, 0 = -4*x - 4*i + 32. Solve 3*a + 12 = x*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 <= -154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 4:37 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 - 23717*b - 261010. Give t(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/317318 and 59\/203.\nAnswer: 2221226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*g - 20*g + 11*g - 46*g**3 - 44 wrt g?\nAnswer: -138*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 20*b**3 - b**2 + 1. What is d(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (14*26)\/4. Suppose 11 = -4*h - 5, 2*h + n = 5*o. Calculate the remainder when 99 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/9, 4, -2\/7, -4, 0.13947?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/5))**(-1\/7)\/(l\/(l*l*l*l**(-3))*l\/l**(-3)*l))\/(l**8\/(l**(1\/4)*l)*l**(-6)\/(l**(-2\/21)*l)) assuming l is positive.\nAnswer: l**(-2491\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47680 by 139.\nAnswer: -47680\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 15) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64 - 319\/5. Which is the third smallest value? (a) j (b) -0.3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxrwrw. What is prob of sequence xwmr?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 1977 + 1937 = -0*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/3))**(2\/15)\/((o**(-1\/2)\/o)\/(o*o*o\/(o**(-1\/2)*o)*o)))**39 assuming o is positive.\nAnswer: o**(2899\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(6400\/240).\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-10) - (-1)\/(40\/656). Solve -11*t + y = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*j**3 + 3*j**2 + 2*j - 3*j**2 + 25*j**3 - 103*j**3.\nAnswer: -4*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o + 9. Let s be x(-4). Let t = 10.4 - 9. Let u = 1 - t. Which is the third smallest value? (a) -1 (b) s (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**2 + 1\/3*v**3 + 4*v - 2. Factor z(u).\nAnswer: (u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -50*i**3*m**2 - 6*i*m - 25135*m**2 with respect to i.\nAnswer: -150*i**2*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 8630*x + 8628.\nAnswer: 2*(x + 1)*(x + 4314)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -5*x + 1235, 238 = x - 2*n. Suppose -d = -4*s + x, -s = 4*d - 32 - 13. Let l = s - 125\/2. What is the common denominator of -39\/11 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 203 + -187. Which is the smallest value? (a) 3 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1981717 and 0.1.\nAnswer: 0.01981717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100 = 2*f - 5*m, 3*f + 5*m - 594 + 694 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2. Suppose 2*q - 2*v = 0, -3 = -4*q + 3*v - j. Let b = -59 + 64. Sort -1, q, b.\nAnswer: -1, q, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.043356 millilitres?\nAnswer: 0.000043356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34762, 67745, 98940, 128347, 155966, 181797, 205840?\n\"Answer: -894*q**2 + 35665*q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -2*d + 8*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 5*q - 9. Let s be 46\/6 - 9\/(-27). Let m(r) = r**3 - 7*r**2 - 7*r - 2. Let o be m(s). Suppose 3*y = o*y + 21. Calculate b(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76617?\nAnswer: 3, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 141 - 137. Let h(x) be the first derivative of 0*x**2 - 3 - 1\/9*x**6 + 0*x - 2\/15*x**5 + 1\/6*x**p + 2\/9*x**3. Let h(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*m = 3*x + 69*m - 22231, 14816 = 2*x + m. List the prime factors of x.\nAnswer: 31, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(128) + sqrt(3) + sqrt(3) + 1*(sqrt(12)\/sqrt(4) + sqrt(3)))**2.\nAnswer: 867\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 - 3*s - 3. Let f be t(-3). Let v(d) be the first derivative of 1\/3*d**3 - d - 1 + 3\/2*d**2. Determine v(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of z**4\/12 + z**3\/6 - z**2 - 7*z. Let g be u(-2). Solve w = -g + 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*v - 20*v - 4*v**3 - 28*v**2 + 13*v - 84*v**2 + 42*v.\nAnswer: -4*v*(v - 1)*(v + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 191 or 200?\nAnswer: 191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -312*p**3 + 68*p**2 + 26*p**2 + 31*p**2 - p - 125*p**2.\nAnswer: -312*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vzvvvnvvnnvvnz. Give prob of picking 2 n and 1 z.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137427 = 76*r - 136439 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*c - 26*c + 31*c)*(-3*c + 2*c - 2*c) + (0*c + c - 2*c)*(-c - 4*c + 3*c).\nAnswer: -67*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 25.7. Let g = 9194 - 36977\/4. Let r = g + 51. What is the nearest to -0.1 in s, 2\/11, r?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -6*y**3 - 4*y**2 + y + 21. Give d(-4).\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -416 + 1?\nAnswer: -415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108886516 is divided by 60?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 12*s - 26. Let m be u(-6). Let w be (8\/m)\/(66\/(-15)). Which is the nearest to -2\/5? (a) 0.4 (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 8:29 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*m - 10, 11*g - 5*m - 10 = 6*g. Solve g*c - 6*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 w when three letters picked without replacement from {q: 2, d: 3, w: 2, g: 1, a: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/112 (b) -1\/4 (c) 5 (d) 0.08 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - ((-6)\/(-1))\/3. Suppose 2*l - 5*b + 14 = -2*b, 5*b = o. Let t = 10 + l. Solve w - 20 = -4*x, w - 3*x = t*w - 20 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3314745 to the nearest integer?\nAnswer: 1821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*54720.6\nAnswer: 16416.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u + 2 - 2 + (-1 - 2 + 1)*(4 + 2 - 4)*(6*u + 3 - 3).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**26*l**15)\/(l\/(l\/l**(-1\/6)))**(3\/13))**(-6\/23) assuming l is positive.\nAnswer: l**(-3201\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 62. Let q = f - 47. Let a = 0.6 - 0.9. Sort q, a, 0.2 in decreasing order.\nAnswer: 0.2, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4407256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -32?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -3*n**2 + 2076*n - 359148 = 0.\nAnswer: 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/13 + 923042*g**3\/13 - 142001396640*g**2\/13 + 7281926286681600*g\/13 - 7281784286208000\/13 = 0. Calculate g.\nAnswer: 1, 153840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, g: 5, m: 1}. What is prob of sequence sgs?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/36 and 1\/1782.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87*k**3 + 20 - 31*k**6 + k**2 + k**2 + 10 + 89*k**3 wrt k?\nAnswer: -3720*k**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3220639, -12882559, -28985747, -51530197, -80515903, -115942859?\n\"Answer: y**3 - 3220640*y**2 - 7*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101 + 0*t + 3*t - 2*t.\nAnswer: t + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*q + 8 = 0, 3*k - 2*q - q + 9 = 0. Suppose 2 + 3 = -p. Let i = p - -8. Is i >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*b + 654*b - 2015*b + 484*b.\nAnswer: -222*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 20830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:45 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 + 8. Let y(r) = 7*r**2 - r - 7. Let c(x) = 6*t(x) + 5*y(x). Let h be c(-7). What is the units digit of (h - -1) + 3\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22568305?\nAnswer: 5, 4513661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -24.5 - -56\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from snssggbgtgnb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, c: 6, m: 2}. Give prob of sequence cmm.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -128 (b) 34842 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2*g + 4. Suppose g = l - 2. What is the third derivative of l*p**2 + 54 + 9*p**6 - 54 wrt p?\nAnswer: 1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3244.532555 - -1316.\nAnswer: 4560.532555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10423 (base 8) to base 13.\nAnswer: 1cb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1808460 and 11820.\nAnswer: 1808460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + c = -11, 8*c + 35 = 3*g + 4*c. Solve 5*b = g + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7973 or -6565?\nAnswer: -7973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 - b + 9. Let y(g) = -2*g**2 + 15*g - 32. Let u be y(10). What is the remainder when j(-7) is divided by ((-123)\/u)\/(2 - (-113)\/(-58))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -25*h + 24*h. What is the lowest common multiple of 7 and h?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 153833, 153830, 153827, 153824, 153821?\n\"Answer: -3*q + 153836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -61*p + 1871 - 3762 - 10*p**2 + 1890 in the form w*p**2 + i + y*p and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + 4. Let u be k\/18*-1*3. Let d = u - -8. Solve -d*j - 2 = -6*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 756 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4014693728 - 4014693728 - 7*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.2 + 0.2. Let j = c + 4. Let p = -128 - -898\/7. Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/2, 0.14, 4, -2\/29, 0.4, 1.1, -0.23?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/2)*m*m**(2\/29)*((m*m**2\/m*m)\/m)\/(m\/(m\/m**(-6\/7))) assuming m is positive.\nAnswer: m**(1797\/406)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (12 - 0)*(-2)\/(-3). Solve 0 = -2*b - 10, o*b = -7*d + 4*d - 13 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454\/6765 - 1\/2255. Let b(s) be the third derivative of 16*s**2 + 1\/3*s**4 + 2\/3*s**3 + 0 + 0*s**5 - 2\/105*s**7 - q*s**6 + 0*s. Let b(i) = 0. What is i?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - 3*a - 5. Let h be r(0). Sort 0, h, 2, -22 in decreasing order.\nAnswer: 2, 0, h, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**2 + 150*t + 50. Let l(z) = z + 17. Give -f(j) + 3*l(j).\nAnswer: 4*j**2 - 147*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 436?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-19)\/(-19))\/((-1)\/((-1)\/(-1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3370 and -7\/7751.\nAnswer: 77510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19 - r + 19. Let m(w) = 8*w**2 - 1400143*w + 1400143*w. Calculate l(m(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, e: 4, h: 3, p: 6, u: 3}. Give prob of sequence ge.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1513 + -1370. Calculate the greatest common divisor of 44 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + y + 6. Let d = 3 + -3. Let s be t(d). Is ((-26)\/s)\/(1\/(-6)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1588*((-116)\/16 - -8). Let a = 52381\/44 - z. Calculate the common denominator of 101\/16 and a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.9 (b) -0.22 (c) -79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28167 - 28155.289. Let b = f - -24.2885. Let u = 36 - b. Round u to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33498.\nAnswer: 2, 3, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*m + 26 = 0, -5*m + 33 = -0*k + 2*k. Solve -j - 8 = -o + 2*o, -k*o = -j + 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 979272 and -2.3.\nAnswer: -2252325.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 1333*h**7\/21 - h**6\/30 - 503*h**3\/3 + h**2 - 1832*h + 1. Find the second derivative of p(y) wrt y.\nAnswer: 53320*y**3 - 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((4\/3)\/2). What is the units digit of 70\/((d - 0) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932*y + 213820 + 110560 = 5000*y + 566*y for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.46998986 + -22.47. What is t rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkjkkkkkkkkkxsj?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 127513 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2 = -2*q. Suppose q*f - 112 = 6*f. Let g be 2\/4 - f\/8. Solve c - g*v = -11, 0*v + 2*v - 28 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7719939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11920*t**3 + 34546 wrt t?\nAnswer: 35760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Sort 2\/13, y, -0.1 in descending order.\nAnswer: 2\/13, y, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 34278*c - 68551. Determine r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5 - 65*f**4.\nAnswer: 5*f**4*(f - 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.5 (c) -1 (d) -3\/7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -2167*z**4\/24 + 1228*z**3\/3 + 3*z**2 + 1227. What is the derivative of d(m) wrt m?\nAnswer: -2167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7366203 is divided by 886.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2099489?\nAnswer: 7, 53, 5659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 3*m**2 - 2*m. Let z(y) = -2*y**2 - y. Let n be z(1). Let i be r(n). What are the prime factors of (4\/i)\/((-4)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 110 + 5372?\nAnswer: 5482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 665860 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 20 = -5*d, 3*d - 4 = 5*x + 8. Suppose 3*j + 138 = -3*a, -2*j = 7*a - 6*a + 88. Let i be (j\/(-35))\/(2\/(-1)). Is x smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = 2*z + 3*r, 0 = 2*r - 64 + 68. What is the remainder when z is divided by 44?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369533174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 3*s**2 + 4*s - 3. Let k be y(1). Solve 0*x = -l + 5*x + 9, 10 = -2*l - k*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76748 (base 10) in base 15?\nAnswer: 17b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2 - 7 = 0. Which is the second biggest value? (a) o (b) -10\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) + (sqrt(136) - 1*sqrt(136)))*4)\/((-1*sqrt(64)*2)\/sqrt(8)).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 20*x**2 - 15*x + 9. What are the prime factors of m(21)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*c - 37. Suppose 2*u + 3*l - c = 0, -u + 4*l - 12 = -l. Solve -3 - 6 = u*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 497, 662, 813, 938, 1025, 1062?\n\"Answer: -2*f**3 + 5*f**2 + 164*f + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-1)\/(6\/9)). Let d(q) = q**2 + 12*q + 22. Let u be d(-2). Let j(b) = 8 - u*b + 15 + b**2 - 24. Give j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/5)\/d*d**(-24)\/d)**29 assuming d is positive.\nAnswer: d**(-3857\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*u - 11. Suppose -h + u = 0, 5*h - 64 = -2*i + 64. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1434759537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1483319372.9999786 + 1483319250. Let k = i + 123. What is k rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(2\/9)))\/z**(-1\/4)*z**(6\/7)*z**(-8)\/z*z assuming z is positive.\nAnswer: z**(-1793\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-150)\/(-4))*7\/((-168)\/(-10)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {v: 3, a: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = 4*q + 83. Let r = q - 6. Find the third derivative of -7*d**2 - 11*d**5 + r*d**5 + 0*d**2 - 10*d**2 wrt d.\nAnswer: 2280*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (5 + (-7 - 0)) - 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 15. Suppose -t + f + 4 = 0, 0*t = 3*t + 5*f - 4. Let n(s) = s**2 + 6*s + 4. Let y be n(-4). Put y, w, t in decreasing order.\nAnswer: t, w, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 8:51 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-27)\/(-12) - (-1)\/(-4). Suppose -4*r + r = 0. Suppose r = -n + z. Calculate the remainder when 3 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l + l. Suppose -18 = -5*w - 3*k, 4*k + 5 + 11 = l. Suppose -w - 6 = -3*j. Solve -20 - 4 = -4*z - j*s, -2*s + 16 = 3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 1:00 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -6*j + 56. Let r be l(6). Solve 5*v = v + r for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-2) + (-572)\/2662*22 + 0\/(-5)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1653577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnwnnew. What is prob of sequence nwne?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jf when two letters picked without replacement from jyyqjf.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 977832 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-4)*44\/(-1188)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5 - 32968*n**4 + 8551320*n**3 - 25456192*n**2 + 25390276*n - 8452440 = 0. Calculate n.\nAnswer: 1, 265, 7974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65351 = 701*w + 1136*w - 1196*w + 4386*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3561435 by 10323.\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-7)*(-883)\/4415.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*c - 321 = -44*c. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/15)*j**(-26))\/(j**7)**(1\/10))**36 assuming j is positive.\nAnswer: j**(-4782\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4 = -5*n. Suppose 2*d - d**2 - 3 + 2 - n - 6*d = 0. Calculate d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5 = -2. Let v be -3*((2 - 0) + m). Suppose v*b = 2*b + 48. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 474570018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/((1078\/(-12))\/(-11)))\/((-15)\/(-35)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 46325833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -24636320.905.\nAnswer: -24636323.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -95, -82, -55, -8, 65, 170, 313, 500?\n\"Answer: m**3 + m**2 + 3*m - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 297586659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11596 is divided by 11475.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103140 and 255960?\nAnswer: 48888360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121113223 (base 4) to base 12.\nAnswer: 50177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tztytzrztttrz. Give prob of picking 1 z and 1 t.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -2*t + 3, 5*n + 5 = t + 23 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 1482*b**2 + 238842*b - 12977. Give l(1298).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/8 + (-182)\/(-56). Suppose w*o - 1970 = -3*n, -5*o - 3*n - 4925 = -10*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 34 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41879, -41884, -41901, -41936, -41995, -42084, -42209?\n\"Answer: -a**3 + 2*a - 41880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/17 in 3\/7, 38, 322?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/3)*b)**(-1\/4)\/(b**(1\/2))**(-23\/2))\/((b\/(b**(-2\/5)\/b))**43\/(b**(3\/5)\/(b\/b**(-1\/5)))) assuming b is positive.\nAnswer: b**(-5903\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1\/2, 242, -2, 2\/11833?\nAnswer: 2\/11833","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 + 107. Suppose -3*q - j*l = -4*l + 14, -2*l + 10 = -3*q. Let c be 18\/(-60)*(-10)\/q. What is the closest to 1 in -2\/3, 1\/3, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r\/((r*r*r**(-10)*r)\/r))\/r)\/(r**(-4\/5)\/r))**(-16\/3))**(-1\/46) assuming r is positive.\nAnswer: r**(144\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048788141 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = t - 4*u, t - 5*u + 3 = 0. Solve 16*z**2 - z**3 + 0*z**3 - 18*z**t = 0 for z.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204034343444 + 10?\nAnswer: 204034344004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 203 + -92. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/5777 and -28\/3.\nAnswer: 17331","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1158*w - 9453. Calculate j(-8).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -2 + 2 - 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.940365 rounded to zero dps?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 14 + 4*i - 17*i**3 + 5*i**3 - 4*i + 2*i**2. Let a be s(-6). Is (-2)\/7 + a\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-9 - (-17 + 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 3*f - 76, -2*f + 2*o - 107408 = -107460 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3358778008.\nAnswer: 2, 37, 1889, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3038*i**2 + 4568*i**2 + 1632*i**2 + 294*i + 1025*i wrt i?\nAnswer: 18476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 4\/1871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(196\/48) + 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 73\/5 of a gram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 4*r - 598 = 0, -517 = 2*t + r - 1699. Let g = 599 - t. Solve g = -16*c + 13*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -31, -434, -1103, -2032, -3215, -4646, -6319, -8228?\n\"Answer: l**3 - 139*l**2 + 7*l + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -1\/12*c**4 + 0 + 2*c - 1\/3*c**3 - 2*c**2. Let b(u) be the first derivative of z(u). Let i(l) = -1. Calculate b(q) - 2*i(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.72 - -5.7967. Round k to three decimal places.\nAnswer: 0.077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3\/20)*g*g**27*g*g*g**(-14)*g\/(g**35*g))**(-29\/3) assuming g is positive.\nAnswer: g**(3509\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/12581 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/5)\/x)\/((x*x*x**(2\/3))\/x)*x**0*x**3*x)\/(((x*x*(x\/x**3)\/x*x)\/x**(3\/4))\/(x**(-1))**30) assuming x is positive.\nAnswer: x**(-1699\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.76, 0, -3\/13, 1, -3\/2, 3.\nAnswer: -3\/2, -3\/13, 0, 1, 1.76, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(16\/(-104) - 108\/(-26)). Suppose 0 = -3*v - 0*v + 12. Suppose -3*t + 5*p = v*p - 16, 20 = g*t - 2*p. Solve 5*l = t + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7793 or -116878\/15?\nAnswer: -7793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4 = 5*z, -15*t + 20*t + z - 36 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from dsbsdfcof?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 145 - 55. Let m = c + -59. Is m a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-72)*-2*12\/30*(-93)\/(-62).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6915?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 195464 and 2650?\nAnswer: 4886600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-5*t + 4*t + 2*t)*(0 + 2 + 1).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0*a = -4*a - 15, 0 = 4*g + 2*a + 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53793?\nAnswer: 3, 43, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 102174240 divided by -5?\nAnswer: -20434848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 980945709 to the nearest integer?\nAnswer: 994","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - l - 5. Let p be h(-6). Let t = p + -56. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + k = 8*u + 27, 0 = 4*u - k + 22. Let q = -0.07 + 0.47. Which is the nearest to 3\/5? (a) q (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 450 + 1992. Let s = x - 182. Does 23 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/12510 and 35\/18?\nAnswer: 12510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 AM and 10:07 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1276\/3 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3*g**3\/4 + 69*g**2\/2 + 396*g = 0.\nAnswer: -24, -22, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 o when four letters picked without replacement from {w: 4, l: 1, o: 2}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1. Let o(p) = 193*p + 24. Let g(w) = 3*m(w) - o(w). Is g(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11686 - -110836.\nAnswer: 122522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1494632.\nAnswer: 2, 23, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 933557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 - 21604947*u\/2 + 43209893\/4 = 0. What is u?\nAnswer: 1, 43209893","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70 - 44e5ab?\nAnswer: -44e53b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30784 and 15392?\nAnswer: 30784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/9 + 6\/(-54).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkww when four letters picked without replacement from {w: 4, k: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 222 + -2440\/11. Let h = 36\/11 + -299\/88. Which is the closest to -0.1? (a) 0.1 (b) q (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, 22, -173?\nAnswer: -173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 312\/1680 - 2\/7?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*y = 20, 0*l - 3*y = 2*l - 15. Suppose -d - 170 = -2*o + 73, l = -2*o + 4*d + 234. What is the remainder when o is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 83. Let d be (-4)\/(-10) - 144\/o. Suppose 0 = -a - d*c, 46 = 5*a - 4*c + c. Solve 3*q + x - 11 = -0*x, a = 3*q + 4*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m. Let s(c) = 2446877*c. Determine b(s(d)).\nAnswer: 7340631*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18.2446 - -2.3216. Round h to one decimal place.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11920)\/(-96)*(-1)\/(-10) and 76\/(-120) + 1\/3?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.9 - 7. Let b = -18 + 17.6. What is the second biggest value in b, g, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l**3 - 19*l**2 + 5*l - 11. Let h(f) = 26*f**3 + 20*f**2 - 5*f + 13. Calculate -6*h(v) - 7*k(v).\nAnswer: -2*v**3 + 13*v**2 - 5*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -41) + (-2 - 25)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 9.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -25.3. Let p = o - 30. Let x = p - 2.4. Which is the smallest value? (a) -0.3 (b) 1\/11 (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(176))**2*-4).\nAnswer: 3535","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8)\/6*(-33)\/22. Suppose -4*h - 6 = f. Let u(d) = -4*d. Calculate u(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 3*p - 3*w + 427, -w - 1 = 0. Suppose 42 = 4*i - p. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 17*t + 1854 = 0. Let j = t - -1551\/5. Factor -3\/5 - 3\/5*m**2 + j*m.\nAnswer: -3*(m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnssrr. What is prob of sequence ns?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 12*s**2 + 212*s - 1510. What is j(19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3330 (base 5) to base 14\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30052 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/31))**(-37))**(14\/3))**(2\/17) assuming k is positive.\nAnswer: k**(-2072\/1581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 4. Let l be 3*p*8\/(-6). Let u = -113\/245 + 3\/49. Sort 2\/3, u, l in descending order.\nAnswer: l, 2\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 4*q**2 - 8*q**2 + q**2 + 5*q**2. Let j(y) = y**2 - 6*y**2 + y**2. Calculate j(s(h)).\nAnswer: -16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*3*sqrt(405) - (5 + sqrt(405)*4)) + 1)**2.\nAnswer: -576*sqrt(5) + 25936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 30*r**3 + 32*r**3 - 9)*(-1 + 2*r + 1) to p + x*r + z*r**2 + d*r**3 + f*r**4 and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/154 and -107\/2044.\nAnswer: 22484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2*(-5)\/(40\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 + -143. Let l = y + 73. Solve -2*b - 4 = l, 6*o - 3*o = -5*b - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*b - 3208 + 3190 - b - 3*b + 4*b + 0*b + 2*b - 2*b + 2*b + (-3 - 1 + 2)*(-3*b + b + b) - b - 2*b + 2*b to the form y + t*b and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - 6*-1*sqrt(33))\/(sqrt(48)*5))**2.\nAnswer: 539\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 94, -21, -1, 5, -3 in decreasing order.\nAnswer: 94, 5, -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m - 6*m + 5 + 13*m - 3*m. What are the prime factors of c(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2936 - 9646. Is -6709 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0135 (b) 0.13 (c) -0.1 (d) -6 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 17. Let d = -0.0192 + 0.8192. Sort d, 4, f.\nAnswer: d, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52 - -32. Let w(v) be the first derivative of v**3\/3 + 17*v**2\/2 - 15*v - 47. Let f be w(n). Calculate the highest common factor of f and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**3 - 2*g + 2*g - 4700069*g**2 + 4700069*g**2 - 9.\nAnswer: -8*g**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13 - 2*k**2 - 10 + 6.\nAnswer: -2*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-15)\/5*(-2)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 20*l + l**2 - 44*l - 10 + 0 + 29*l. Let f be x(-7). Suppose f*o - 48 = 52. What is the highest common factor of o and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2402\/(-60) - 6\/(-30). Let b = h + 40. Let r = 0.2 - 0.3. What is the second smallest value in r, -3, b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j + 3*h + 15, h - 5 = 0. What is the greatest common divisor of j and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)\/(sqrt(4) - sqrt(4)*-1) + -5*((sqrt(200) + (sqrt(200) - (sqrt(200) + 2*sqrt(200) + sqrt(200))))**2 + sqrt(2)).\nAnswer: -4000 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((((-3*sqrt(72))\/sqrt(6) + sqrt(12))**2 - sqrt(12)) + sqrt(12) - (sqrt(48) + 4)).\nAnswer: -132 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in years?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-10 - (-1 + -13 + (7 - 1))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 8:06 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**3\/3 - 5*w**2\/2 + 6*w - 10. What are the prime factors of h(7)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 378?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 92*q - 72 + 900 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -59, 0.3, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**8\/112 - b**5\/5 - 11*b**2\/2 + 3*b. Let g(r) be the first derivative of o(r). Find the third derivative of g(u) wrt u.\nAnswer: 180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of f**7\/2520 - f**6\/60 - 13*f**5\/120 - 83*f**4\/4 - 3*f + 38. Let x(z) be the third derivative of v(z). Give x(10).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -888519480*h**2 + 629787491*h.\nAnswer: -1777038960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 342 and 912?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3475, 3426, 3345, 3232, 3087, 2910?\n\"Answer: -16*c**2 - c + 3492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = 0, 0*v - x = -4*v. Let q = 6\/601 - -1761\/4207. Which is the closest to v? (a) 0.4 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 95129179?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 111. Let q be 81\/(-54) + (-22)\/b. Solve 0*w + i = 5*w - 21, -q*w = -5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (84\/56)\/((-4)\/((-168)\/9)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-5)*(0 - -5). Let c(v) = 4*v + 4*v**z + 0*v - 4*v. Let k(w) = w**2. What is c(k(t))?\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 298993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/(-1 - 15\/(-9)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03177622728 to four decimal places.\nAnswer: -0.0318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a - 2 - 13*a**2 + 16 + 12*a**2. Let g be r(-11). Let t = 14 + g. Solve -o - 20 = -t*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207805769 a multiple of 5286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-130)\/(-325))\/(2\/(-6)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -679846 less than -0.77872?\nAnswer: 679845.22128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6521868*-2.\nAnswer: -13043736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*g = 37821, 545 = 5*g + 510. What is the highest common factor of i and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + 8 - (307 - 211)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5021.751cm?\nAnswer: 50217510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(7) - sqrt(7)*-5) - (sqrt(7) + (sqrt(567) - (-4 + sqrt(567)))**2).\nAnswer: -16 + 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2983*v - 348. Is p(43) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, -1.5, 0, 11\/5 in increasing order.\nAnswer: -1.5, -1, -1\/5, 0, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.8 equal to -292?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 1 - u**2 + 9*u**2 - 6*u**2 to m + o*u**2 + k*u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3151 - -4541. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 383521018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1885819 or -3771635\/2?\nAnswer: -1885819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 381038 divided by 64?\nAnswer: 190519\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmndmannmmammn. What is prob of picking 2 a, 1 d, and 1 m?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6020.13 - -0.1688.\nAnswer: -6019.9612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 72, 156, 274?\nAnswer: 426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 753 = -173. What is the highest common divisor of 29 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 3 + -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 33*d**2 + 484*d - 15954. Give y(33).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -34833339, -0.1, 2\/9?\nAnswer: -34833339","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 3*t - 3. Suppose -4*u - 12 = 4. Let f be 5 + 3\/(6\/u). What is r(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106.8 in 3, -1\/3, 1, -0.4, -573?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1262.\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -231438, -231439, -231440, -231441, -231442, -231443?\nAnswer: -231444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*u**4 - u**2 - 1362*u.\nAnswer: 84*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/13? (a) 0.3 (b) 1008 (c) 3 (d) 4 (e) -36\/49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 21*c**2 + 25*c - 38. Calculate the remainder when 82 is divided by k(22).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (194\/388)\/((-2)\/(-4060))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 > 40758\/9019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-205.\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Suppose 4*w - 248 = -h*v, -2*v - 220 = -4*w + 3*v. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32560 by -2960.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 0*v - v**2 + 2*v + 2*v**2. Let p(t) be the first derivative of -7*t**3 + 4*t**3 + 2*t**3 + 8*t - 2*t**2 + 6*t - 13*t + 9. Give -5*l(w) - 2*p(w).\nAnswer: w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1344)\/196)\/(4\/63*8*(-21)\/112)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1076 times 5\nAnswer: 0.538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 889228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/15 + (-3)\/(-15)*12. Let l(z) = -2*z + 2*z + 5*z - z**3 + 4*z + 16*z**p + 13. Is l(15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:53 PM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 150, -23, 6, -4 in increasing order.\nAnswer: -23, -4, 6, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(6*(-3)\/12)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 93794662 to the nearest ten thousand.\nAnswer: 93790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3241956.\nAnswer: 2, 3, 270163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0865 - -0.1865. What is the second biggest value in t, -3, 2, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/28))**(-2\/9)*(u\/u**(3\/2))**(1\/44) assuming u is positive.\nAnswer: u**(-65\/1848)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1969 + -1152. Is 43 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12407\/(-15) + 1)\/((-8)\/(-20)). Let s = d + 62027\/30. Find the common denominator of s and -2 - 64\/(-36) - (-127)\/72.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*q - q. Let l be 12\/270*-5 + (-2)\/(-9). Suppose 3*k + q*k - 50 = l. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/3 and (-32)\/(-16)*1\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 12:37 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 29*o - 6. Let h(f) = -f**2 + 26*f + 4. Let x(z) = 3*h(z) + 2*w(z). Factor x(k).\nAnswer: -5*k*(k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(6\/7)\/((i\/((i*i**(-7))\/i))\/i))\/(i\/((i**(-9)*i)\/i)*i*i\/i**18))**1 assuming i is positive.\nAnswer: i**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108489055.\nAnswer: 5, 21697811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a hour in seconds?\nAnswer: 2025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**5\/20 - 5*j**4\/6 + 7*j**3\/3 + 4*j**2 - 30*j. Let s be w(8). Find the common denominator of 59\/14 and 12\/(-81)*228\/s.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86.992 - 87. Let l = f + 0.208. Let u = -21 - -17. Sort 0.1, u, -0.3, l in increasing order.\nAnswer: u, -0.3, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57870 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1265815579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**4\/12 + 3*k**3\/2 - 7*k**2\/2 - 2*k - 43. Let m be 135\/17 - 84\/(-1428). Calculate i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**3 + 28*f. Let x(u) = 4*u + 6. Let l(c) = c + 1. Let y(j) = -6*l(j) + x(j). Give y(o(b)).\nAnswer: -12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gxxxxxxxggxxxgxxxxx. Give prob of picking 3 g.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d = -j - 16, -1705*d + 2*j = -1710*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 1535159*t**2. Let s(v) = -5*v - 3. What is s(i(u))?\nAnswer: -7675795*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -9*p**2 + 13*p - 16. Give l(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 + 70*i**2 + 285*i + 360 = 0. What is i?\nAnswer: -8, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (155 - 124) + -65 + -8\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -59)\/((-2)\/3). Suppose 4*k - 153 = c. Let x(d) = -d**3 - 3*d**2 + 5*d - 1. Let p be x(-5). What is the greatest common factor of k and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)*-3*3)\/((sqrt(72) - (sqrt(72) + (sqrt(72) - (sqrt(72) + -1*sqrt(72))) + sqrt(72))*-6) + sqrt(72) + sqrt(72)).\nAnswer: -3*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -4. Suppose -2*q + 3*u = -2*u - 20, -5*q = -w*u - 67. Let l be 1\/(-4) + (-181)\/(-4). Calculate the greatest common factor of q and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3165133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -15*r**9\/28 + 271*r**5\/60 + r**2 + 87. Find the third derivative of k(i) wrt i.\nAnswer: -32400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 4*i - 12, 0 = k + k + 3*i - 9. Let d = 62 + -87. Let j be 1\/(-13)*d + -2. Is j bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 757 is divided by 51.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-366)\/(-4))\/(12\/24). Let l = 398 - j. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (10 - 1) - -5) + -28 + -13?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 0*s**2 + 0*s**5 + 1\/3*s**3 + 0*s**4 + 0 + 2*s + 0*s**6 + 1\/21*s**7. Find the second derivative of g(k) wrt k.\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 49 = k - 3*b, 197 = -3*k - b. Let n be k\/(-24)*6\/4. Solve 3*j - n*d - 2 = 0, 3 + 10 = 5*j + 3*d for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 90, 131, 174?\n\"Answer: v**2 + 36*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 39523*z**2 + 2*z - 2412440?\nAnswer: 79046*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -46753 divided by 10\nAnswer: -46753\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a minute in seconds?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**4 + 379*m**2 - 21*m - 12.\nAnswer: -12*m**2 + 758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - -2*sqrt(68)*-2))\/(2*(sqrt(4) + sqrt(12)\/sqrt(3)))*-6.\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2277794 at most as big as -2277799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 41. Let a = 35 + l. What is the smallest value in -1.3, -4, a, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kcktccccktk. Give prob of picking 1 t and 2 k.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(375) - (sqrt(375)*1 - sqrt(375))) + sqrt(375))\/((sqrt(36) + sqrt(576))\/sqrt(12)) + (4 + sqrt(245) - sqrt(605)*4))*-6.\nAnswer: -48 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18281420.01ms in weeks?\nAnswer: 0.030227215625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 999996 - (5 + (-9)\/1). What is s rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 - -15. Let w = 12.908 + -0.108. Let s = w + i. What is the third biggest value in 0, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1.1 and 16\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -129\/2471392 and -35\/41536.\nAnswer: 4942784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = m + 5, 2*u - 15 = -3*u + 3*m. Suppose 0 = 3*g + 3*t + 2*t - 572, -g - 4*t + 179 = u. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10\/33? (a) -0.2 (b) -0.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*d**3*o*t**2 + 10*d**3*o - 7*d**2*o*t + 33*d**2*t + 7*d - 52190*o*t**4 - o*t wrt t?\nAnswer: -16*d**3*o - 626280*o*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r = 15*r - 10*p + 79, -2*r - 4*p = -66. Solve -43*l + 43 = -r for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.059? (a) -1 (b) 1\/3 (c) 10 (d) 2\/227\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 5, w: 3}. What is prob of sequence ommw?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 374763*t + 1873803. Give a(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13488 + 37*l**3 - 99*l**3 + 13486.\nAnswer: -62*l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (16 - 5) - 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2 + 3 - 16*b + 17*b. Let i(z) = -3*z - 5. Let l(f) = i(f) + 5*y(f). Let g(v) = 4*v. Give l(g(k)).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 14*p - p - 2 + p**3)*(-1 + 1 + 3) + (-p**2 - 2*p**2 + 5*p**2)*(0*p - p + 2*p).\nAnswer: 5*p**3 - 24*p - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 7*m**3 - 4*m**2 + 5*m + 6. Let x = -122 + 123. Let y(k) = -k**3 + k**2 - k - 1. Calculate x*s(g) + 4*y(g).\nAnswer: 3*g**3 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from joojjjjjj. What is prob of sequence jjj?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 4*h - 6. Let s be p(2). Solve l = 3*l + y - 5, s*l + 2*y = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7 - -1)*(-5)\/2. Let s = 21 - 16. Suppose 0 = -v - 3*j + 6, -3*j - 2 = -s. Solve -6*y + 3*y = 4*z - 1, p = -v*y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99825 is divided by 698?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 13*s - 11. Let b be z(-12). Let q(x) = 7*x + 0*x + 2 + x**2 - b - 2*x. Suppose 4*u = -0*u - d - 33, 40 = -5*u - d. What is q(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 5*a - 35, 6*a + 19 = q + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*t - 2, -47 = -5*g - 2*t. Suppose 3*p = 6*p + 153. Let f be (-2)\/g - p\/(-135). Is f not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s - 5. Let h be w(-8). Let x = h + -16. Find the third derivative of -6*t**2 + x*t**2 + 4*t**4 + 3*t**4 wrt t.\nAnswer: 168*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -5*x - q, 2*x + 4*q - 3 = 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 less than 3897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63\/2 - 32. Let y(r) = -r**2 + 11*r + 5. Let p be y(11). Which is the closest to 1? (a) v (b) 1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6137761871 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wuuuuttuuuttttuttut. What is prob of picking 3 t?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 199, -2, 5 in decreasing order.\nAnswer: 199, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of 0*s + 31*s**2 - 1\/12*s**4 + 0 + 17*s**3 - 1\/120*s**6 - 47\/60*s**5. Find the second derivative of r(h) wrt h.\nAnswer: -6*h - 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 90861?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ugufffgdgdafdfbuduf. Give prob of picking 1 f and 1 a.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.3000117 - -15.3. Round a to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a**2 - 256*a - 9. Let s be k(-51). What is the greatest common factor of s and 882?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110101 + 1?\nAnswer: -1001110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 1. Let b(h) be the second derivative of 2*h**3\/3 + 3*h**2 - 22*h. Calculate -b(c) - 2*p(c).\nAnswer: -2*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 302718999 to the nearest integer?\nAnswer: 17399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1\/4 (b) 0.5 (c) 1 (d) -360 (e) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 0.5, -68\/19, -0.9?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 14. Sort 3, l, -2, -5.\nAnswer: -5, l, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + v - 24. Let r be 2\/(-4)*(-7 + 5 + -12). Suppose r*s - v = 6. Solve 0 = -2*y - 6 + s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6467 + 6475. Solve -12*q + 16 + r = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2 = 4*j + 2, 0 = -2*p - 5*j + 9. Suppose -3*v + 8 = -c, 3*c - v + 6*v = 32. What is the highest common factor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.772128 in -8, 0, -3\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71144816664 - -8.\nAnswer: 71144816672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 + 0.43. Let y(n) = -9*n + 19. Let r be y(2). Which is the biggest value? (a) k (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**3\/3 - 8*t. Let k(y) = y + 1. Let o(n) = -1. Let b(u) = -k(u) - o(u). What is v(b(p))?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 1. Let k(n) = -16*n**2 - 13*n + 2. Let f(w) = 2*h(w) - k(w). Let i(p) = 3*p**2 + 2*p. Determine -2*f(s) + 11*i(s).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {m: 6, k: 2, l: 4}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**4 + 3*f**4 - 3*f**4 + (2 - 2*f**3 - 2)*(-f + 0*f + 2*f) - 57*f - 59*f - 221*f**4 + 116*f.\nAnswer: -229*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-45))\/((-1)\/(12\/2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 7:00 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (11 + (-6 - -2))) + -10.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 5*b - 19, 7*t - 4*t = -2*b + 5. Let x = -2 + b. Solve 17 = -5*i + 4*k, -i = -x*i - 3*k + 8 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -1 + -4 - (4 + (9 - (-13 + 7))).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8983 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 7:05 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*a = 782 - 46 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 615, 4384, 14523, 34218, 66655, 115020, 182499?\n\"Answer: 531*o**3 - o**2 + 55*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40436?\nAnswer: 2, 11, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4591.997707 - 4592. Round a to 4 decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w + 2867 - 5831 + 2964.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 582 + -572. Solve 12*d + y = 34 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*f**3 + 491*f**3 - 165*f**3 - 160*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 285 + -165. What is the lowest common multiple of z and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccaa when four letters picked without replacement from {a: 7, c: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 8064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, k: 4, v: 3, r: 1, b: 4}. Give prob of sequence vvbq.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -3*w**2 - 19*w + 14. Let q be z(-7). Solve q = -7*c + 9 - 16 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -z + 49, 4*a + 109865*z = 109864*z + 49 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11372.\nAnswer: 2, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/9 + 21590*y**2\/3 - 301868*y = 0. What is y?\nAnswer: 0, 42, 32343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1927 - -1993. Calculate the remainder when 1713 is divided by w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.235 millilitres to litres.\nAnswer: 0.170235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s + 8*s**2 - 6*s**2 + 2*s + (-s**2 + 3*s**2 + 0*s**2)*(-1 - 3 + 2) + 2*s**2 - 2*s**2 + 2*s**2 + 0*s**2 - s**2 - s**2.\nAnswer: -2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -42356 + 21?\nAnswer: -42335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 95 = 5*u, -98 = 3*w + u - 29. What is the smallest value in 2, w, -0.5, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + l - 3. Let o = 0 + -1. Let w(x) = 1. Let g(t) = o*q(t) - 3*w(t). Let i be g(0). Solve i = -3*z - 3*c - 15, -1 = -2*c - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95155.\nAnswer: 5, 19031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6c86 - -5?\nAnswer: 6c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + -0.3. Let z be 4 + 381\/(-108) - (-130)\/(-585). What is the biggest value in j, z, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3068.\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3\/16))**(-44))**(-40) assuming g is positive.\nAnswer: g**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 504 = 40*g - 9*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7424632 (base 8) in base 11?\nAnswer: -1130168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71304 and 744?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*f - 10, 4*y + f - 5*f = 16 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n**5 + 2406*n**4 - 96945*n**3 + 35994*n**2 + 96960*n - 38400 = 0. Calculate n.\nAnswer: -1, 2\/5, 1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 11:07 AM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2325*t - 2330*t - 2326*t - 16274 + 6983*t.\nAnswer: 2*t - 16274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28.4 + 30. Let f = -1.7 + o. Let l = -0.29 - 0.01. Which is the smallest value? (a) f (b) l (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s - 4. Let k be b(8). Suppose k*v + 28 = -0*c + 2*c, 0 = -5*v - 5. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984822551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = 1. Let w = n + 29. Let k = 135 + -115. Calculate the least common multiple of k and w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 4*i - 161, i + 2*i = -2*h + 63. Calculate the highest common factor of h and 264.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 2*y = 23, -22125*f - y - 11 = -22130*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 - -100111100010?\nAnswer: 100111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 9:58 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8133 - 8129. Let g = 27 + 25. What is the lowest common multiple of d and g?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1068 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24063.\nAnswer: 3, 13, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**2*j**(-2)*(j*j**(3\/8))\/(j*j**7*j) assuming j is positive.\nAnswer: j**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 166*r - 1259. Let z be o(8). Solve 454 - 424 = z*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21710\/410 + 6\/205*42\/(-2898)*-115.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16830 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 + 9*g - 1. What is the lowest common multiple of w(-5) and 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17791 divided by -2584?\nAnswer: 17791\/2584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {q: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (14\/3)\/((-14)\/(-105)) - -2. Let x = -39 + k. Put 5, 0, x in descending order.\nAnswer: 5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**3 + 31*g**2 + 5*g + 5. Let q(j) = j**3 + j + 1. What is -5*q(m) + z(m)?\nAnswer: -2*m**3 + 31*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155613 is divided by 171?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*i**2\/2 - 416691735*i\/2 - 138897243.\nAnswer: -3*(i + 46299081)*(3*i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 32550 (base 7) to base 14\nAnswer: 2d97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -73105 and -43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 24*k - 184. Give d(-12).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.54118 from 0.48.\nAnswer: -6.06118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 11745*u**2 + 11754*u + 23496.\nAnswer: -3*(u - 2)*(u + 1)*(u + 3916)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 14) to base 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 129430323 - 129430323 + 28288*y as n*y + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 11:50 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjc when three letters picked without replacement from {j: 1, f: 3, c: 9, k: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 77.38781 weeks?\nAnswer: 46804147.488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 5*y. Let s = 27 + -41. Let h be ((-7)\/s)\/(1\/(-12)). Determine q(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + b + (2 - 2 + 1)*(1 - 1 + b))*(5 + 1 + 3 - 5 + 2 + 1 + 0 + 2 - 3 + 2 - 3 + 2 + (-5 + 2 + 4)*(-1 + 2 + 1) - 1 - 4 + 3).\nAnswer: 14*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - g + 458 = 0, y - 5*g - 36 = 68. Calculate the highest common divisor of y and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-29))\/(-3) + (21820296\/321262 - 68).\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrv when three letters picked without replacement from {r: 3, v: 2, m: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 276839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gcc when three letters picked without replacement from {a: 3, g: 9, d: 3, c: 2}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 34961090 to the nearest 1000000.\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47208 - 147630 = -19*r + 84804. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {k: 9, g: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -1.216, -2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/95 or -1?\nAnswer: -44\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*5*((sqrt(210)*-3 + sqrt(210))\/sqrt(7))\/(sqrt(216)*3) + -4.\nAnswer: -10*sqrt(5)\/3 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 773 and 1.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5 + 20878880*y**4 - 62636616*y**3 + 62636608*y**2 - 20878868*y = 0. Calculate y.\nAnswer: 0, 1, 5219717","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -13*d - 100. Let j = -103 + d. Let y = -66 - j. Calculate the smallest common multiple of y and 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b. Let m(z) = 2489*z. Determine m(l(h)).\nAnswer: -7467*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b - 26. Let g be l(-12). Calculate the remainder when 57 is divided by 4\/8 - g\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d + 1. Let a be k(1). Suppose 127*q + 1976 = 140*q. Suppose -a*b + b + q = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -611*q + 615*q + 4*r - 16, -5*r + 30 = -5*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 29 = 4*o - 5*y, -3*o - 2*y = -22. Put o, 2, -1 in increasing order.\nAnswer: -1, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n - 344. What are the prime factors of n?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1069, 1061, 1053?\n\"Answer: -8*f + 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 + 35\/(-5) + 41. Let g be (-346)\/j - ((-165)\/(-57) - 3). Let i(n) = -n**2 - 10*n - 13. Calculate i(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 7 + 30 - (-37 - -31).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.455115 - -1.85968. Let h = 0.405 - j. Round h to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -220929600*x**3 + 206717076.\nAnswer: -662788800*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-387 - 63*y + 387 + (3*y - y - y)*(-1 + 2 - 3))*(-1 + 13 + 2) in the form v*y + i and give v.\nAnswer: -910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 17.4. Which is the closest to 1? (a) w (b) -0.01 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 2*m + 57 = -3*m, j - 6 = 3*m. Suppose 0*z - 3*z + j = 0. Suppose z*y + 1034 - 3690 = -3*f, 25 = 5*y. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r - 4 = -5*r, 3*o - 4*r = 254. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c - 3*c**2 + 8*c + c - 33*c - 71 + 2*c to z*c**2 + p*c + t and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*((-4900)\/224)\/35.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003 + 9855?\nAnswer: 9854.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -38. What is the biggest value in -4, 4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let d be (4\/(-8))\/(q\/(-28)). What is the highest common divisor of 49 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/8 - 73\/648. Let t = r + -1711\/7371. Let g = -90\/91 - t. Which is bigger: g or -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 5*s - 1034735155 + 1034735155.\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -524 - -4191\/8. Which is the nearest to -0.048? (a) s (b) 0.5 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19486703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 35 = -f + 4*t, 2*t + 139 = 5*f. Let b = -29 + f. What is the remainder when 31 is divided by b*(-4)\/(-8)*-17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1142596957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**2 - 6*p - 3. Let h = 31 + -33. Let t be m(h). Which is greater: t or -1\/3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2088\/15 + 8\/10 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15244406*b**3 + b**2 + 727*b - 3515.\nAnswer: -91466436","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 946739 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12164*s**5 + 128*s**3*w**3 - 1087*s**2 + 90*s*w**3 - 2*s + 2*w**2 wrt s.\nAnswer: -729840*s**2 + 768*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (-23*1 + 0). Let o = 2 + s. Suppose 3*f + o = -j + 176, -6 = -2*j. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 24*w**2 + 66*w. Let i(c) = -c**2 + 19*c + 25. Let h be i(21). What is the units digit of a(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, f: 5, w: 2}. What is prob of picking 1 w and 1 t?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 25. What are the prime factors of u(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 12:52 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3311030002 (base 4) to base 6\nAnswer: 33305254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-932 - -380 - -530) + (-17 - (-1 + 2)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 76*d**2. Let s(c) be the second derivative of 0*c**2 - 1\/6*c**3 - 17*c + 0. What is s(q(h))?\nAnswer: -76*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 7:10 PM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21*l**2 + 14*l**2 - 26*l**2)*(l**2 + 2*l**2 + 2*l**2).\nAnswer: -165*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 128d6c13 - -3?\nAnswer: 128d6c16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1400 and 5217240.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -106189, -172260, -238341, -304438, -370557, -436704, -502885?\n\"Answer: -h**3 + h**2 - 66067*h - 40122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -623831\/30 - -20797. Calculate the common denominator of v and (0 - (-1114)\/(-168)) + 12\/(-42).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 4 + 112. Let z = 98 + p. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 578 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -431622 (base 10) to base 12\nAnswer: -189946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 - -111101011010?\nAnswer: 111101101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - -17 - (-6 - -2 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 2*l**2 - 3*l**2 - l**2 + 0*l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 3*d + 8. Suppose -10*x + 5*x - 1 = -4*c, 3*x - 21 = -3*c. What is the lowest common multiple of 4 and k(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 292 - 344. Let r = b - -53. What is the nearest to -0.2 in -0.15, -5, r?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48698 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptutv. What is prob of sequence tu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -78*m**3 - 13*m**2 - 13*m - 13. Let q(d) = 13*d**3 + 2*d**2 + 2*d + 2. Calculate -2*p(t) - 13*q(t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -u**4\/12 - u**3 + 3*u**2\/2 + 24*u. Give o(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 11001001000000?\nAnswer: -11001001000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/675 and 59\/225.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 14*i**3 + i**2 - 1. Let g be b(1). Let l be (-10)\/(-35) - 4\/g. Suppose 4*m = -l*m + 68. Solve 0 = 5*q + 2*z - m, 4*q - 5*z = -6*z + 13 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32289 is divided by 359.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314484 and 1626988?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-12) + (-22)\/8. Is y bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/3 and 46 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, -37, -0.4556, 70?\nAnswer: -0.4556","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3\/7 (b) 0.01 (c) -45 (d) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*i + 5 = -80 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 13*n + k = -4, -n - 2*k = -19. Let y(b) = -16*b + n*b + 10*b + 12*b. Let f(x) = -8*x**2. Determine f(y(j)).\nAnswer: -1800*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - t - 7 = -4, -3 = -4*d + t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -59*(3 + (-4 - 0)). What is the third derivative of -6*m**4 + 0*m**4 - 11*m**4 - 2*m**3 - l*m**2 - 9*m**4 wrt m?\nAnswer: -624*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 6:46 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -167004 - 0?\nAnswer: -167004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 61096 (b) 0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 2, 35, -7 in increasing order.\nAnswer: -7, 1, 2, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wweg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 303323233 (base 4) in base 2?\nAnswer: 110011111011101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/(-56) + -3 + (-44)\/(-14). Let s(i) = -4*i**2 + 13*i + 1. Let g be s(h). Which is the nearest to 0.1? (a) -0.1 (b) g (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p + 19*p - 7*p**2 - 52 + 21*p - 50*p.\nAnswer: -7*p**2 - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*2.686.\nAnswer: -91.324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g - 13 - 26 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 5*b - 2*b)*(b - b - 2*b) + 3*b**2 - 3*b**2 - 6*b**2 + (-1 + 4 - 2)*(1 - 1 + 2*b**2).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12479545 + 1481*j - 12479545)*(-2*j**3 - 10*j + 10*j).\nAnswer: -2962*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.428 - 264.002. What is h rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + (5*sqrt(1400) + sqrt(56))\/((sqrt(70)*1)\/sqrt(10))*-1))**2.\nAnswer: -1248*sqrt(2) + 21668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -26. What is the remainder when 33*(4 + -2 - y\/9) is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + (-4415)\/711 - 4\/(-18). Which is the nearest to -1? (a) 1 (b) x (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1536)\/16*15\/(-90)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5 = -2*g, 3747*c - 3748*c = -9*g + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*y + 2*s, s = -4*y - 0*s + 8. Suppose y*g - 5*k - 30 - 72 = 0, 5*g = k + 192. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0289576 minus 38?\nAnswer: -38.0289576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 60*s. Let h(l) = -854*l. Calculate h(q(t)).\nAnswer: -51240*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12334*v**3 + 2382*v**3 - 7264*v**3 + 2816*v**3.\nAnswer: -14400*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10901*h + 10. Suppose 9 = 3*m + 39. Let b be c(m). What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1023 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.99 - -67.99. Let y = -67.5 + j. Sort 1, 2, y in descending order.\nAnswer: 2, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*f - 19, 26 = z + 3*f - 8*f. Let h be (z + 2 + -3)\/(-2). Suppose 0*m = -4*m, p + 4*m - 4 = h. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let u = 24.3 - 22.356. Let c = -0.056 - u. Sort p, c, 0.2.\nAnswer: c, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(-234)\/(-65). Factor -3\/5 - w*n**2 - 12\/5*n.\nAnswer: -3*(n + 1)*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**4\/12 + 5*x**3\/3 - 49*x**2 + 6*x - 169. Determine h(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from llldltddddx?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35392800 to the nearest integer?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.241587kg in tonnes?\nAnswer: 0.005241587","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*r**2 + 2*r**2 + 19*r + 7*r**2 wrt r?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22846*h*o**4 + h*o**2 - 4*h - 6*o**5 + 629*o**2 + 10*o wrt o?\nAnswer: -548304*h*o - 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 3*l = -36. Let u be (-9)\/l*(13 + -1). Suppose 3*r - 30 = j, 5*r - 21 = -4*j + 12. Calculate the greatest common divisor of r and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 21*s + 4. What is w(19)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 684 - 580. What is the remainder when l is divided by 45?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 - 2*s - 2. Let m be p(-5). Let b = m - -80. What are the prime factors of b?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 488*o**2 + 492*o.\nAnswer: -4*o*(o - 1)*(o + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 10. Let i be o(-7). Suppose 0 = i*p - 7565 - 9475. Suppose 0*j + p = 3*j. Round j to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 6*t + 7. Let m(j) = j**2. Let v(f) = -g(f) - 4*m(f). Let c be v(3). Let d(w) = -17 + c*w**2 + 17. Let b(n) = -5*n. Calculate d(b(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 18\/(-9))*(-3)\/(12\/4). Sort -5, z, -191 in increasing order.\nAnswer: -191, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y**3 - 12*y**3 + 27*y**3.\nAnswer: 23*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.135 - -25.135. Let k = a + -25.0000108. What is k rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 105 - 1202?\nAnswer: -10b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*u - 12 = 0, -4*z - 90508 = -11*u - 90480 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 3*j**2 + 4*j**2 + (-16*j**2 + 33 - 33)*(0 - 41 - 16) to n*j**2 + a + v*j and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 9. Let s(b) = b**3 + 6*b**2 + 4*b - 2. What is the units digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 601617 and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 46, -4 in ascending order.\nAnswer: -4, 25, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 times -0.17927?\nAnswer: 0.0161343","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1827, -3, -160\/11, 0, 0.5?\nAnswer: 1827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110 (base 2) in base 14?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = r, 2*z + 0 + 12 = -4*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12661\/2 - -6*(-1)\/12. Let q = 10816 - o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/1105 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 674 + -673. Which is the closest to -0.1? (a) 4 (b) 16\/79 (c) s (d) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -1111101110?\nAnswer: 1111101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xhol when four letters picked without replacement from {p: 1, x: 1, h: 1, l: 3, o: 1}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 185 (b) -44 (c) 108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.052, 28, -104\/3, 2?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 174919 and 63722?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of 47*c**5\/140 - 703*c**4\/84 + 596*c**3\/21 + 26*c**2\/7 - 56*c - 53. Determine i so that k(i) = 0.\nAnswer: -2\/47, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401 - 313*c - 143 - 141 + 627*c - 316*c - 117.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4345 (base 9) in base 11?\nAnswer: -244a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(80)*-3 + -1 + 3*(sqrt(720) + 1) + sqrt(720)))**2.\nAnswer: 5184*sqrt(5) + 233424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 78, 21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11811 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 5}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -82 or -264?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55648, -55699, -55760, -55837, -55936, -56063?\nAnswer: -56224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12075 (base 11) in base 6?\nAnswer: -212253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16052*o**3 - 19*o**5 + 61*o + 180*o**5 - 16050*o**3 - 279*o wrt o?\nAnswer: 3220*o**3 + 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - m - 21 = 0, 7*o + 5*m - 20 = 2*o. What is the greatest common divisor of 40 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54071579 by 24.\nAnswer: -54071579\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1699408758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*q - 35 = 1152*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1170 (base 9) to base 15.\nAnswer: -3d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/(-15))\/((-1)\/(-3)). Let f be 27*(z + (-1)\/3). Suppose -f = -3*o + t, t - 23 - 7 = -5*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/54 and -71\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -3 - (-16 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 407269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673799849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 52747 (base 8) to base 11\nAnswer: 15582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 292 = s + 32, 4*s + 1290 = -2*n. Let m = s + 482. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2 - 52820*u + 105660.\nAnswer: -5*(u - 2)*(u + 10566)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of 3\/5*r**5 + 0*r**2 - 2\/3*r**3 + r**7 + 49 + 0*r + 0*r**6 + 0*r**4. Find the third derivative of b(u) wrt u.\nAnswer: 840*u**3 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p = -25*p - 4. Suppose -5*j = -p*h - 10 - 6, -4*h = -2*j. Suppose 4*r - 5*w = r + 4, -h*w + 4 = -2*r. Is -7 greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x. Let m(t) = 79424098*t**2 - t. Determine y(m(r)).\nAnswer: 79424098*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35328, -35350, -35372, -35394, -35416, -35438?\nAnswer: -35460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + f + 23 - 1, -5*b + 2*f + 55 = 0. What is the second derivative of 6*v + 0 + 4*v + 0 - b*v**2 wrt v?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f = 4*s - 28, -5*f - 2*s + 5 + 6 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -538 - -11296\/21. Let t be (3 + -3)*(-2)\/(-4). Let a be (4\/(-10))\/((-95)\/(-25)). Put -1\/6, o, a, t in increasing order.\nAnswer: -1\/6, a, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 1)*(-284)\/(-1988). What is the smallest value in j, -20\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5520223 divided by -29?\nAnswer: -5520223\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11266 + 21903. Is 107 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*((y - 3*y + 0*y)*(1 - 1 - 2) - 7*y - 4*y + 3*y).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 2, z: 2, e: 1, t: 1, m: 1}. What is prob of sequence met?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gprperrepgepmrrmgrr. What is prob of picking 3 p and 1 m?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610253*v**2 - 1960661*v**2 - 3233792*v**2 + 264690*v**2.\nAnswer: -5540016*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91.6887 + 0.2113. Let q = 92 - y. Suppose 2*s + 3*s = -3*v + 4, 4*v - s + 10 = 0. Which is the third smallest value? (a) q (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5636880289.003541 + 5636888802. Let a = w + -8513. Round a to four decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 4, -4, -39160.\nAnswer: -39160, -4, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - a + 2*a)*(-12*a**2 - 15*a + 15*a).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35052 at most 35431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/4)\/((-1)\/8). Suppose -o = 3*c - 18, 0 = 3*o + 4*c - 25 - r. Let i(u) = -31*u + 253. Let b be i(7). What is the highest common divisor of o and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 21*g - 30*g + 502544. What is the thousands digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -3.3.\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 195 - 176 - (8 - -1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 + (-332 - -524) - (1 + -156)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2219*d + 67*g + 33291 = 65*g, 0 = 2*d + 5*g + 45 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191052?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*b = 17, 38 - 54 = 4*b for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72118 and 349806?\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1358*s**3 - 2 + 2 - 1354*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -119\/287849 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*l + 341*l = 16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 + 2bc?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z + 2*z + 30 = 0. What is the second biggest value in z, -3, 0, 5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*s - 3*d + 11, 10 = -2*s + 4*d. Let w(f) = 54*f + 1. What is the remainder when w(s) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0341 - 0.034089111. Round l to seven dps.\nAnswer: 0.0000109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 1397?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1320, -5362, -12100, -21534, -33664?\nAnswer: -48490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.52802 hours?\nAnswer: 23500872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 126.123 milligrams in micrograms?\nAnswer: 126123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7536482 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3847 - -92431\/24. Let j = -340723\/20 + 17030. What is the common denominator of j and w?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3974 - -3901.57. Let f = a - -72. What is f rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**2 + 12 + 32*w + 0*w**2 + 40 - 19 = 0. Calculate w.\nAnswer: -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of 1\/24*n**4 + 0 + 0*n**3 + 0*n + 1\/120*n**5 + 15*n**2. Factor a(c).\nAnswer: c*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q + 8088 = 6*b + 39*q, -5*b + 6733 = -3*q. Is b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 896400 and 43740?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10.153 - 0.047. Let f = -10 - g. Which is the third biggest value? (a) 3 (b) 0.4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -23 + (0 + 2 - (-5 - 0))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105091 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**5\/30 - 37*o**4\/24 + 7*o**2 - 55. Let h(r) = 38*r. What is h(a(i))?\nAnswer: 76*i**2 - 1406*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(60\/(-5)))\/((-3)\/12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.337 - 0.063. Let h = j - -3.48. Is -5 greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*i**5 - 28*i**2 + 17*i + 17.\nAnswer: -460*i**3 - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*g + 10*s - 5*s, 0 = -2*g - 3*s + 11. Let l(a) = 4*a + 8. What is the smallest common multiple of l(g) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.023 and -63.\nAnswer: -1.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 891*w**2 - 22 + 22.\nAnswer: 891*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -122.4 minus 0.5?\nAnswer: -122.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 + 49. Sort 1, -5, -335, o in decreasing order.\nAnswer: o, 1, -5, -335","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 25*j**4\/12 - j**3\/6 - j. Suppose -11 = -13*p + 2. What is the units digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = 6*d - 3960. Calculate the remainder when d is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 790363, 3161456, 7113287, 12645862, 19759187, 28453268, 38728111?\n\"Answer: q**3 + 790363*q**2 - 3*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 627*h**3 - 4835*h - 3972279 wrt h?\nAnswer: 1881*h**2 - 4835","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = p - 24. Suppose -4*a - p = 2*n, n + 3*a - 3 = -7. Let y(x) = -9*x - 1. What are the prime factors of y(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 8*k**3 + k**3 + 2 + 2*k**3 - k**3 + 2*k**2 as b*k + a*k**2 + p + q*k**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8 and -1445701?\nAnswer: 1445693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1202 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1542)\/(-32) - 115\/(-138)*108\/(-480)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3010 and 85113770.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000094387 to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*f - 128*f = 6 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - q + 2. Calculate b(2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -130. Suppose -y*q - 108 = -65*q. Solve 4*f = f - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/3)\/(-2))\/(10\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 407\/10*-6 + (-4)\/(-20). Let i = k + 526. What is the common denominator of i\/(-320) - (-16)\/(-40) and -59\/5?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2091673, -0.2 in decreasing order.\nAnswer: 5, -0.2, -2091673","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2236\/(-65)*(-7)\/((-28)\/30). Let a = -122 - r. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 12743*v - 25492. What is w(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, 1, 3, -38, -25, -5, 2 in ascending order.\nAnswer: -38, -25, -5, 1, 2, 3, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 78, 59, 28, -21, -94, -197?\nAnswer: -336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, m: 5, q: 2}. Give prob of sequence mqm.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -47924 in decreasing order.\nAnswer: 2, -2, -47924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4845 + 9683 - 4838 - 1660*q to p + c*q and give c.\nAnswer: -1660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*330.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4141 and 10291.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -28*x**3 - 37*x**2 + 3*x - 6. List the prime factors of c(-6).\nAnswer: 2, 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6758806 by 3379403.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29a8 - 8?\nAnswer: -29b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k - 90. Let l be w(-21). What is the least common multiple of 126 and l\/(-60) + (-6)\/15?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9574 and -159.\nAnswer: -1522266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100101111010111 (base 2) in base 7?\nAnswer: -305065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 363, 1403, 3133, 5553?\nAnswer: 8663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75394 is divided by 1956?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -614, 6, -5 in decreasing order.\nAnswer: 6, 1, -5, -614","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 b, and 1 e when four letters picked without replacement from brkbrekeb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247144135 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11492)\/(-65))\/((-4)\/(-10)). Let t = d + -251. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 40*p - 14*p**4 - 316*p**2 + 106 + 178*p**3 - 26 - 80*p**2 + 112*p = 0?\nAnswer: -2\/7, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 83 and 2241.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.061*-27731.\nAnswer: 140346.591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8173, -16319, -24445, -32545, -40613, -48643, -56629, -64565?\n\"Answer: t**3 + 4*t**2 - 8165*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*b + 37 = 0, -a - 3597*b + 5 = -3592*b + 18 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-3)*16\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*j + 5. Let g = 8 + j. Find the first derivative of 0 - r + 0*r + g + 0 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (93\/(-6) - 0)\/(3\/(-6)). Calculate the greatest common divisor of g and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 149, 165, 197, 251, 333, 449?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -9206.945?\nAnswer: 9206.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*q**3 - 768*q**2 + 768*q**2)*(-3 + 3 + 2*q) - 5*q**4 - q**4 + q**4.\nAnswer: -103*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = 0, -22*y - 146 = -27*y - 3*z. What is the remainder when 120 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -134*r**5 + 12*r.\nAnswer: -2680*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 - 341*i - 8704. Calculate a(193).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 335083505 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/1190*4*(-6 - (-4 + -3))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/20 and 51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -o - 8, 2 = 2*a - 4*o - 4. Suppose -5*i + 305 = 5*m, 22 + 173 = 3*m - 3*i. What is the remainder when m is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2416581 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1259239166?\nAnswer: 2, 629619583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the first derivative of z**2\/2 - 1306. Let u(r) = r**2 + 34*r + 4. Give d(u(v)).\nAnswer: v**2 + 34*v + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 14 = -5*f, -5*f - 28 = -0*j - 4*j. Let p(i) = i**2 - i + 2. Let q(k) = -2*k + 2. Let z(u) = j*p(u) - 3*q(u). Give z(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 8*j**3 - j**2 + 6*j + 1. Let v(b) = b**3 + b - 1. Determine -u(m) + 6*v(m).\nAnswer: -2*m**3 + m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/18)\/(7\/21)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 0.50679671?\nAnswer: 4.49320329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1084 divided by 271\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 750 + -530. Let g = 463 + l. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*o + 3*l, -o - l + 10 - 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-5015)\/765 + 11 + 0\/(-4) + -6\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**2 - 28*c - 800. Let q be y(28). Sort -13, -4, q, 5 in increasing order.\nAnswer: q, -13, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 4*s + 5 - 14, 2*p = 2*s - 8. Let j(t) = t + 3. Let v be j(5). Suppose -4*z + v*z - 8 = 0. Solve -5*n - y - 15 = y, -s*n = -z*y + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22361111 a multiple of 1755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 82 - 91. Let p be ((-2)\/2)\/(r\/45). Factor 22\/5*v**4 + 0*v - v**p + 0 + 8\/5*v**2 - 28\/5*v**3.\nAnswer: -v**2*(v - 2)**2*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 70, 63, 58, 55, 54?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from {n: 3, r: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1135, 2076, 3033, 4012, 5019, 6060, 7141, 8268?\n\"Answer: b**3 + 2*b**2 + 928*b + 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s**3 + 435*s**2 - 581*s - 99. Give u(53).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/55 and -32\/25.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*r = 439 + 985, 0 = -5*r + 5. Let v = x - 670. Solve -12*p + 20 + v = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000160982857 rounded to seven dps?\nAnswer: -0.000161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 32 + 12327*g + 14.\nAnswer: 12327*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -16, 5*a + 58 = 4*b - 43. Let o = -6 - a. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 7*p - 2. Let z be k(6). Let c be ((-2)\/2)\/(-2)*z. What is the second derivative of -2*i**4 + c*i + i + i wrt i?\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 6*j = 3. Which is the closest to -0.2? (a) j (b) -2\/11 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 n when four letters picked without replacement from anaaunnnnnauan.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*r = -3636, -2727 = -10*f + 7*f - 5*r. List the prime factors of f.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5\/13 - 2242*m**4\/13 - 769768*m**3\/13 - 6369896*m**2 + 258547680*m\/13 + 340588800\/13 = 0?\nAnswer: -584, -270, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099274621 a multiple of 9632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3588 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8*g = 312. What are the prime factors of ((-20)\/(-15))\/(4\/g)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3 + 1)\/(-6))\/((-4158)\/4995). Let p = q + 13\/22. What is the closest to 2\/5 in 5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -28*v**2 + 10*v - 7. Suppose -133*q - j + 37 = -138*q, 9 = -q + j. Let d(p) = -19*p**2 + 7*p - 5. Give q*d(u) + 5*o(u).\nAnswer: -7*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1317 - 695. Calculate the remainder when p is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1963, -3931, -5901, -7873, -9847?\n\"Answer: -u**2 - 1965*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 17, 68, 167, 338, 605, 992, 1523, 2222?\n\"Answer: 4*c**3 + 23*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:49 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 382504627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 40*u**2 + 38*u + 35. What is the remainder when v(39) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -20*g + 886. Give v(44).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1240 + 2703. Is t a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let x(p) = 14*p**2. Suppose 0 = 41*j + 147 - 24. Determine j*x(d) + 48*c(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {z: 1, x: 1, d: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10002001221 (base 3) in base 9?\nAnswer: 102057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -36708, -293634, -991000, -2349024, -4587924, -7927918?\n\"Answer: -36703*v**3 - 2*v**2 + v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -8*t - 4*p + 58, -3*p = 5*t - 131. Solve 13 = 3*s + t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - ((-17 - -11) + -1 + (6 - 7)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056\/5 - (-5)\/(-25).\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 754\/90 - -2 - 0. Let r = 53\/5 - v. Let s = 3.1 - 3. Which is the second biggest value? (a) s (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-50)*((-2442)\/66 + 36)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143475*o**3 - 143473*o**3 + 2 - 2.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 656, 728, 922, 1298, 1916?\n\"Answer: 10*s**3 + s**2 - s + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -352177.759 to the nearest one hundred.\nAnswer: -352200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003183734499 rounded to five decimal places?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 59170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -2)*228\/(-2280). What is the closest to -1.11 in b, -1.6, 0.4?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 4.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2777*p + 33318. Give j(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-9))\/(1\/9). Suppose s*f = -2*f + 10. Find the second derivative of -d + f*d**3 + 0*d**3 + 0*d**3 wrt d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11291316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -0.105, 0.5 in increasing order.\nAnswer: -0.105, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/4340 and -47\/60760.\nAnswer: 60760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 16. Suppose -m - 4*l = 3*m, -y*l = -5*m. Determine i, given that -1\/4*i**3 + m*i**2 + 0*i + 0 - 1\/4*i**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -731 + 724. Let z(i) = -6*i - 3. Determine z(m).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349854 is divided by 3643.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.98 + -0.02. Let t = o - -3. Let g = 0.22 - -0.28. Which is the biggest value? (a) g (b) t (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 + 0*n**3 + 2*n**3)*(n - 3 + 3) - 28 + 28 - 818*n**4 as s*n**3 + i + b*n + y*n**4 + m*n**2 and give y.\nAnswer: -816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 105151 + -105219.083. Let v = n + 68. What is v rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.804 - 371562?\nAnswer: -371562.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.7173 kilograms in milligrams?\nAnswer: 482717300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3544 is divided by 142?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 45 + 109 = 5*d, 2*w + 5 = d. Let l(t) = 56 - 99 + 17*t - d*t**2 + 52 + t**3. Let o be l(9). Solve -y - 5 = -o for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40\/53 in 1\/2, 3\/7, -0.1, 611, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 11:33 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:55 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23863613 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2833 at most as big as -2834?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31\/133 - -1\/19. Which is greater: -0.3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8185*c**4 + 235*c**2 + 4687104 wrt c.\nAnswer: -32740*c**3 + 470*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.412 from 0.\nAnswer: 0.412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*p - 4*m - m, 2*p + 5*m = 15. Suppose -p*s + 128 = -s. Suppose 2*n - s = -i + 3*i, 2*n = 5*i + 41. List the prime factors of n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67*c - 924 + 924)*(-8*c**3 - 3*c**3 - 18*c**3) to the form w + r*c**4 + v*c**3 + j*c + h*c**2 and give r.\nAnswer: 1943","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -25, 2*i - 4*v = -3*i + 170. Suppose p - 4*b + i = -9*b, -3*b + 30 = -p. What is the common denominator of 5\/2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -248, -27, 334, 829, 1452, 2197?\nAnswer: 3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11186 divided by -119?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, p: 13}. Give prob of picking 2 f.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39971 + -12039. What are the prime factors of w?\nAnswer: 2, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*c - 1012 + 98, 4*c = -3*i + 2790. What is the hundreds digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - 1) + -10 + 7 - 20?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2. Let f(p) = 4 + p - 6 + 2. Calculate y(f(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 5*n - 110 = -2*n, 5*n - 26 = m + 62 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/90 and -89\/54?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 9*r - 13. Let y be j(-2). Is 40 a factor of y - -5 - 6 - (3 + -123)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -22 in ascending order.\nAnswer: -22, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1845\/(-25))\/123*(-38)\/6.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -h - h. Suppose 5*l = 4*l + h. Let z = l + 0. Which is smaller: 12 or z?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -7b4564?\nAnswer: 7b4559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -580 or -582?\nAnswer: -580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -11. Suppose -3*q + 3*u + 39 = 0, -3*u = 2*u + a. 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: Sort 3, -1, 0, -63, 6 in decreasing order.\nAnswer: 6, 3, 0, -1, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1777, -5821, -12561, -21997, -34129?\nAnswer: -48957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-64)\/(-40)*15\/39. Which is bigger: q or 0?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -491476052 divided by -1\nAnswer: 491476052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*v - 3)*(-8 + 0 - 16)*(1 + 4*v + 1 + 0) to the form o*v**2 + z*v + u and give o.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 1:02 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1718*r**2 - r**4 - 1773*r**2 - 103*r**3 + 3563*r**2 + 1 to h*r**2 + f*r + b*r**3 + s + i*r**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**2 - 71380050*w - 71380047 = 0 for w.\nAnswer: -23793349, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1372 - 78*h - 1372)*((4 - 3 - 2)*(0 + 0 - 2) + 3 + 4 - 6 + 117 + 99 - 89).\nAnswer: -10140*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 0, 14, 48, 108?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 1. Suppose 2*a - y = 33, -a + 9 = -y - 6. Let x(r) = -14 + 0*r + r - 3*r**2 + a. What is -5*j(n) + x(n)?\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 250a745?\nAnswer: -250a740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05006 times -0.64?\nAnswer: -0.0320384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*d**2 - 41*d**2 + 272*d**2)*(d**2 - 2*d + 2*d)*(-4 + 4 + 3).\nAnswer: 603*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/5)\/(5\/(-100)). Let b = 25 + d. Suppose 2*o + 6 = -4*t, 5*o + 2*t + 0*t - b = 0. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9672 + -4?\nAnswer: 966c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*f - 5*k + 8, 3*f + 4*k + 34 = 0. Let p(s) = s**3 + 6*s**2 + 2*s + 2. Determine p(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + 153*(-2935)\/(-30) - 2\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -7. Suppose l = -4*s + 16. Suppose -3*a = -5*c + a + 44, -c + 4*a = s. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227 = -4*f - x + 1391, -f - 2*x = -298. What are the prime factors of f?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -3 (c) -36 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2938888\/1803 - -1630. What is the closest to 0 in 0, n, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1212242 - 1?\nAnswer: 1212241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86\/3 of a decade?\nAnswer: 3440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 - 19*d**2 - 3*d**2.\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1254\/(-76))\/((-2)\/(-12)). Round m to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 y when three letters picked without replacement from epgypqpyp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -601562?\nAnswer: 601566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - (-6 + -2461)) + 7 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 3*t**2 + 5*t + 3. Let h be k(-4). Let d be 33\/12 - h\/4. Solve f + d + 1 = 0, -f - 13 = -3*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 27*n**2 - 26*n - 26. Determine m(-26).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -g**5 + 5964*g**4 + 1047660*g**3 + 47414656*g**2 + 177277632*g + 173182464 = 0?\nAnswer: -84, -2, 6136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**7\/2520 - s**6\/720 - s**4\/12 + 3*s**2. Let l(d) be the second derivative of q(d). Solve l(v) = 0 for v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585907 to the power of 1\/2, to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 412137*v. Let s(p) = 7*p**2. Determine i(s(x)).\nAnswer: 2884959*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26822*a**2*s**2 - 3*a*s**2 + 36*a - s**2 + s wrt a.\nAnswer: -53644*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*v - 71, 3*s - 2*v - 41 = -0*s. Let f = s + -13. Let y(w) = 4*w - 1. What is y(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w**3 - 3*w + 4. Calculate the remainder when 44 is divided by r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -104*t**2 - 6. Let w(v) be the second derivative of v**4\/12 - 42*v. Give w(m(n)).\nAnswer: 10816*n**4 + 1248*n**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + (-2*sqrt(24))\/sqrt(3) + sqrt(8) - (sqrt(800) - (sqrt(800) - 1*sqrt(800))))*3 - (sqrt(32)\/sqrt(16) - (sqrt(32)*2)\/sqrt(4)))**2.\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*t - 95*t - 35*t + 708 = -836. Factor 8\/7 + q**2 - 3\/7*q**t - 1\/7*q**5 - 18\/7*q + q**3.\nAnswer: -(q - 1)**3*(q + 2)*(q + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -1)*6 + 1)**2.\nAnswer: -240*sqrt(11) + 6361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 3567484?\nAnswer: 3567503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6\/13))**6*((r*r\/(r\/(r*(r**(-32)\/r*r)\/r*r))*r)\/r)\/(r\/((r**24*r)\/r)) assuming r is positive.\nAnswer: r**(-127\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*f + 344*f + 9194 = 130*f + 45192 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -242*c**4\/9 - 946*c**3\/9 + 416*c**2\/3 - 40*c.\nAnswer: -2*c*(c + 5)*(11*c - 6)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**6\/6 + 4*u**5\/5 + 2*u**4 - 10*u**3\/3 - 23*u**2\/2 - 10*u + 113. Factor s(n).\nAnswer: -(n - 5)*(n - 2)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 19*p**2 + 4*p**4 + p**4 + 43*p**2 + p - 2*p + p**3 - 23*p**2 in the form h + a*p + s*p**4 + u*p**3 + k*p**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*w + 9*w + 0*w to the form c*w + x and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3*j**2*s**2 + 18*h**3*j - 6*h**2*j*s**2 - 17*h*s**2 - 21148566*j**2*s**2 - 251*j - 1 wrt j.\nAnswer: 4*h**3*s**2 - 42297132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -2*p**3 + 72*p**2 - 648*p = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3\/2 + 1713*l**2 + 10224*l = 0?\nAnswer: -1136, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8587962713 - -24?\nAnswer: -8587962689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -41335.\nAnswer: 41334.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 267, 529, 781, 1017, 1231, 1417, 1569?\nAnswer: 1681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079.9 rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-21 - (-55416)\/2640). What is the greatest common divisor of w and 781?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -6.05.\nAnswer: 24.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 2)*(0 + 0 - 1)*(-2*p**3 - p + p)*(-8*p - 28 + 28)*(10*p - 3*p + 22*p).\nAnswer: -928*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*l + 2, -3*l + 199 = 497365*u - 497373*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 80938493 and 2786295.\nAnswer: 83724788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-1)\/(5\/3*-27)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.298848673 and 1361.37.\nAnswer: 1361.668848673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001616318 rounded to 7 dps?\nAnswer: -0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2894 is divided by 40.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15955 + 16198. Solve 0 = 30*m + 153 - f for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 1168. Suppose 0 = 3*u + 2*q - 1903, 3*u - q - l - 820 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1632?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 + 1. What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75682 and 191600.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 q when two letters picked without replacement from {q: 2, c: 2, p: 1, i: 1, d: 2, l: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - q + 2 - 12.\nAnswer: -2*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from paqwwsswccs?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -6567867.\nAnswer: -2\/6567867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 514 - 516. Let n be -4 - p - 280\/(-49). Factor 4\/7*q + 0 + n*q**2.\nAnswer: 2*q*(13*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11604.2*5.\nAnswer: -58021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 2 g, and 1 p when four letters picked without replacement from ynyypnnggdy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9666, 9698, 9698, 9660, 9578, 9446?\n\"Answer: -z**3 - 10*z**2 + 69*z + 9608","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 + 495. Which is the closest to 0.2? (a) q (b) -4 (c) -15 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 2130752.\nAnswer: 10653760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*m - 2*m + 8 = 0, -3*m = -3. Suppose -q = -5*j + 18. Sort j, 2, 0 in increasing order.\nAnswer: 0, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184173361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t + t)*(5 - 1 - 2) + t - 2*t + 3*t + 3534*t - 317 + 3509*t + 317 - 272*t.\nAnswer: 6775*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710674487.843 minus -0.1?\nAnswer: -1710674487.743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1)\/(-1 - 561\/(-567)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 5. Suppose 0*q - i*q + 9 = 0. Let d be (1\/2)\/(q\/18). Solve d*s = s - 10 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 23683*j**2 - 14793*j?\nAnswer: 47366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -17*y + 871. Give i(51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 68789 - 68817.997. Let g = h + -0.003. Let t = -29.00038 - g. Round t to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6364 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(sqrt(60)\/sqrt(5)) + 1*sqrt(5)*-2 + (sqrt(90)\/sqrt(2) + 5)*2)*-5)**2 + 4.\nAnswer: 2500*sqrt(5) + 5629","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by -58788\nAnswer: -61\/58788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1430*i**2. Let o(m) = 11*m. What is o(f(k))?\nAnswer: -15730*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 6.3045117 minutes?\nAnswer: 0.004378133125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*g + 50*g + 594 = 0 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -1\/120*h**6 + 0*h**5 + 0 + 0*h**3 - 2*h**2 + 0*h + 1\/24*h**4. Factor i(t).\nAnswer: -t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2209587 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 14. Suppose 8 = -3*z - 2*q + 25, 2*z + q - 11 = 0. Solve -v + 15 = -z*b, 2*b + w*b = 3*v - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 5*r + 15*h - 136, -2*r + 20 = h for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 900*d - 906*d = 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -403355, -806722, -1210091, -1613462, -2016835, -2420210, -2823587?\n\"Answer: -t**2 - 403364*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.044? (a) 152778 (b) 5 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 33*v**2 - 120*v + 1770. Calculate p(16).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 4*d - 1868, -2*y + 1247 = 19*d - 22*d. What are the prime factors of y?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3146078 + -191?\nAnswer: 3145887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.33 + 81.33. Let j = 0.0093040512 - -79.9907148488. Let f = j - r. What is f rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -8 - (0 + 8 - 4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137320202.\nAnswer: 2, 68660101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 6. Let k(n) = 2*n**2 + 3. Let d(m) = 112 + 7*m**2 - 57 - 44. Determine u*d(w) + 22*k(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-6)\/25)\/(4\/(-10))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 12 = 0, -5*q = -h + 4861 + 868. List the prime factors of h.\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + 3 - 54\/(-2). Let h be (-21)\/(-4) - 7\/q. Let a be (80\/8 - 8)\/((-2)\/(-3)). Let j(c) = -2*c + 1. Let f(g) = 3*g - 2. What is a*f(t) + h*j(t)?\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1153*m - 2390?\nAnswer: -1153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*m**2 - 732*m + 243.\nAnswer: 3*(m - 81)*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 12 = -5*o. Suppose -4*a + 0*a = y - 45, -23 = -o*a - y. Let d(j) = -j**2 + 13*j + 3. What are the prime factors of d(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f + 357 = 109. Which is the closest to 1? (a) -32 (b) 0 (c) f (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -91*u - 3. Let w(q) = 363*q + 13. Let r(o) = 9*k(o) + 2*w(o). Let g be r(4). Let x = 680 + g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1685414 to the nearest integer?\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - k**4 - k**4 + 3 - 3*k**2 - 2*k**2 in the form n*k**2 + y*k + f*k**4 + q*k**3 + h and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + h**2 + h + 25. Let i be (7\/3)\/(-7)*0. What is x(i)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k - 73. Give h(0).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let u be c + 3 + 3 + -1. Solve -4 = u*w - 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x**3 - 4*x - 13. Give i(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (50\/(-5) - -12) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1 + (-28)\/8. Let j = 40 + -43. What is the nearest to 8 in j, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - -1) + -133293*(-15)\/45. Is 146\/365 - n\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**5 - 323*q**4 - 362*q**2 + 2?\nAnswer: -60*q**2 - 7752*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 17989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 5:46 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or -2136\/71?\nAnswer: -2136\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = 1. Let v(i) be the second derivative of -2\/27*i**3 + 1\/54*i**4 + 0 + 0*i**k + i. Factor v(u).\nAnswer: 2*u*(u - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*c**2*g*s - 7*c**2 + 9*c*g*s + 2*c*s + 2*c - 2*s wrt c?\nAnswer: 86*g*s - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*d + 6*d**2 - 28*d)*(2 + 1 - 1)*(d - 5 + 10 + 0)*(0*d**2 - 2*d**2 + 4*d**2).\nAnswer: 24*d**5 + 120*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29545.65 * -239.\nAnswer: -7061410.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j - 32. Let i be x(0). Let u = i - -222\/7. Let d be (-2 + (-9)\/(-3))*1. What is the closest to u in 5, d, 3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -2 (c) -0.3 (d) -10 (e) -22523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21078 + -21087 + 0 + -1 + 0 + -146?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -290.461 rounded to zero decimal places?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3*(-5*sqrt(1088) + sqrt(1088))**2.\nAnswer: 52220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k - 3. Let x(c) = -c**2 - 14*c - 10. What is 14*o(l) - 4*x(l)?\nAnswer: 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3212 + 3219 - (-24 + -1)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 + 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007505 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056\/(-192)*(6\/22 - (2 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15477 and 46431?\nAnswer: 46431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*r + 17. Suppose w - 36 = -r*a, -7 = -w + a + 5. Put -2, w, -4, 5 in decreasing order.\nAnswer: w, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -17*b + 38 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -s**3\/6 - s**2\/2 - 3*s. Suppose 0*x - 4*x + 4 = 3*c, -2*x + 3*c = -2. Determine j(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4127*o**2*u*y - 4*o**2 - o*u - 492*u with respect to y.\nAnswer: -4127*o**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of k**4\/24 + 8*k**2. Let q(y) = 6*y. Let w(a) = -a. Let t(m) = -3*q(m) - 9*w(m). Calculate n(t(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 9*b + 4*b + 20 = 0, 2*q - 43 + 21 = 4*b for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jav when three letters picked without replacement from cvyycvyycyajcyckyycy.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -164 at most -241?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/40)\/((-10)\/25). Which is the nearest to -0.7? (a) -4 (b) 0.03 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 10:10 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2276.16 hours to microseconds.\nAnswer: 8194176000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**3 + 12612*v**2 + 177117*v + 164502 = 0 for v.\nAnswer: -13, -1, 4218","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = g, -4*b + 6*b = 4*g. Let m = 4 + b. Determine j, given that 2*j**2 + 0*j**2 + j**3 - j - j**m - j**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -0.210328\nAnswer: 0.1261968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 16 - 2 - (-109 - -155 - 37).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(-7))**(1\/3) assuming i is positive.\nAnswer: i**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -40.1. Which is the nearest to w? (a) -2 (b) -5 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(1*sqrt(2)))**2 + 3 + sqrt(11) + 0 + -1.\nAnswer: sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164*t**3 + 138*t**2 + 132*t**2 - 270*t**2)*(-3 + 3 - 2)*(3 - 5*t - 3).\nAnswer: 1640*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6751 + -6748. Let c(i) = -3*i + 11. Determine c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 28 + 363*z - 359*z)*(0*z**4 + z**4 + z**4).\nAnswer: 8*z**5 + 32*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 589727, 1179403, 1769079, 2358755, 2948431, 3538107?\n\"Answer: 589676*r + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 24. Which is the nearest to 0.2? (a) -4 (b) 1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 510 (base 6) to base 14.\nAnswer: d4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3*4*24\/(-256)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-18)\/(-3)*(-86)\/(23478\/35).\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 8*b + 1. Calculate the least common multiple of 4*1 - (-24 - (6 - 13)) and a(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -591200 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2\/5 + 41272*c\/5 + 36580476\/5.\nAnswer: -4*(c - 11139)*(c + 821)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21589580?\nAnswer: 2, 5, 887, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 585, 4 in descending order.\nAnswer: 585, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 m when three letters picked without replacement from mrrmrrmmmimrmyrmrymr?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -154\/9 + 17. Which is the third biggest value? (a) l (b) -0.2 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 2112212211?\nAnswer: -2112220022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/3124 and -105\/112788044.\nAnswer: 1240668484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + -368155.87667?\nAnswer: -368111.87667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/7, 13\/37, 3 in decreasing order.\nAnswer: 3, 13\/37, -4\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g + 86. Let i be x(13). Suppose -q - 28 = -i*q. Calculate the highest common divisor of 12 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2250\/24)\/(-25))\/((-6)\/(-16)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3475861086 to the nearest integer?\nAnswer: 1515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 122. Let j = 40 + b. Put -2\/11, -55, j in decreasing order.\nAnswer: j, -2\/11, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 26*o**2 + 923*o - 923. Calculate the remainder when 3508 is divided by g(1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1165*b + 2*r = 1163*b + 3*r + 2*r - 8, 0 = -b + 2*r - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 27*x - 28*x. Suppose -5*f + x = -f. What is the third derivative of 11*u**4 - 16*u**f + 23*u**3 - 23*u**3 wrt u?\nAnswer: 264*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2532, 8007, 17164, 30009, 46548, 66787, 90732?\nAnswer: 118389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35004.72 rounded to the nearest one hundred?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*j + 2*j. Let n = 20 + j. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395*w + 15627 = -993*w + 3069 for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 3. Let c(n) = -14*n - 3. Let r be c(u). Let z = -569\/7 + r. Put 0, z, 1 in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49194129*c**3 + 48*c - 52976 wrt c?\nAnswer: 295164774*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 6 - (5 - 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Let i(o) = -o - 12. Let s be i(-12). Let a be (-12 - s)*11\/(-33). What is m(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03826 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 10:04 PM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 PM and 11:09 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1947, -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -1\/3, -115, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -565 - -565.6. Put 5, -2\/9, -0.1, w in descending order.\nAnswer: 5, w, -0.1, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (1\/1 - 1). Let y(n) = n**2 - n. Let d(r) be the first derivative of -r**3\/3 - r**2 - 85371. Determine f*d(t) + 4*y(t).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317*m**3 - 1584*m**2 + 1273*m**3 + 572*m**3 + 408*m**2 wrt m.\nAnswer: 9168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71371216 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350 is divided by 44.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -5) + (-7 - -13). Suppose v = 5*l, -z + 109 = -0*z + 2*l. List the prime factors of z.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.2 plus -13.3907124?\nAnswer: -46.5907124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -600, -2389, -5372, -9549, -14920?\nAnswer: -21485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*l - 56 + 64, 5*l = -2*q + 22. Let c = -6 + 14. Solve -l*x - 20 = -c*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - 2*u)*(-3 + 0 - 2) + (0 - u + 0)*(-3 + 2 + 3) + u - 4 + 4 - 3*u + 10*u + 2*u)*(4 + 3*u - 4) in the form z + b*u**2 + i*u and give b.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5*d - 6 = 1, 2*a - 3*d = 11. Suppose -a*o = -23 - 33. List the prime factors of 634\/o - 40\/140.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 13 - 11)*(y + 0 + 0) in the form k*y + d and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 0.5 (c) 13 (d) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 6*b + 16. Suppose -b*i + 23 + 1 = 0. Suppose 59 = 5*g + 3*u - u, 2*u + i = 0. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 26 = -d, 2*b + 8 = -4*d + d. Let k = 7 + b. Determine t, given that 1\/2*t**3 + k*t**2 + 0 + 1\/2*t**4 + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(189))\/sqrt(7))\/(sqrt(45)\/(sqrt(20)\/sqrt(4))).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.07444572 * 50.\nAnswer: -3.722286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96967.07 micrometers in centimeters?\nAnswer: 9.696707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1772 - 1771.712. Is 5 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 12*d**2 + 12*d - 16. Let c be i(-13). Sort c, 0, 4 in increasing order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**3\/5 - 788442933*y**2\/5 + 51803521155582072*y\/5 + 51803521944025008\/5 = 0.\nAnswer: -1, 131407156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1213224 or -6066114\/5?\nAnswer: -6066114\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u. Suppose -l = 4*t + 17, 2*l - 3*t = -l + 24. Let b(n) = -l*n - 4*n + 3*n. Calculate b(c(i)).\nAnswer: -8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 13. Let d = 0.011 - -0.089. Let p = 6 + -4.8. Sort d, x, p in decreasing order.\nAnswer: x, p, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 397 is divided by 61?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 3:50 AM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7870a (base 12) to base 2\nAnswer: 100111000011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1965215?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 695088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 3*r = 50*n - 36, -76*n + 78*n - 3*r = -6 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 - 9*m**2 - 10*m + 6. Calculate f(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qif. What is prob of sequence qf?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/9)\/((-1)\/(9\/6)). Sort 0.4, u, 1\/3 in descending order.\nAnswer: 0.4, 1\/3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5355.609993 + 5351.81. Let x = 3.8 + j. What is x rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 52952336177?\nAnswer: -52952336176.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/(z*z**(-2))*z))**(3\/2))**(-21))**(-10\/7) assuming z is positive.\nAnswer: z**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 157735773 to the power of 1\/4, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8387660 and -0.2.\nAnswer: 1677532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4*a**0)**(2\/3) assuming a is positive.\nAnswer: a**(8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, e: 1, s: 1, w: 1, h: 1}. What is prob of picking 1 w, 1 h, and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 23 + 4*f)*(91*f**2 + 3*f**2 + 33*f**2 - 19*f**2).\nAnswer: 432*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 340 and 612?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**3 + 4*u**3 + 0*u**3)*(1132 - 47*u - 1132).\nAnswer: -47*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*p - 79 = 74 + 183 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 8:33 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8203 - 8202.54518. What is k rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-9)*(-19170210)\/200. Let b = m - 21306. What is the common denominator of -22\/45 and b?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, e: 4, l: 3, y: 4}. Give prob of sequence yy.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(720) + sqrt(720) + -1 + -3 - sqrt(720) - sqrt(720) - sqrt(720)) + -2 + 5)**2.\nAnswer: 24*sqrt(5) + 722","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 121320956.\nAnswer: 1\/30330239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 71477300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + sqrt(76) + 1*sqrt(76) + sqrt(76) + sqrt(76) - sqrt(76))*-6 + -2*sqrt(76)*-1)\/((sqrt(240)\/(sqrt(24)\/sqrt(4)))\/sqrt(10)).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28094?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 4*c - 8. Suppose 4*l - 4*n - 660 = 0, -11*l + 658 = -7*l - 3*n. Let v = -162 + l. Let g(o) = o + 1. What is v*x(f) + 6*g(f)?\nAnswer: 2*f**2 + 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -1.2. Let q = 0.2 - -0.3. Suppose -9*t = -21 - 15. Which is the closest to -0.04? (a) q (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l + 5. Suppose -3*a = 3*g - 7*g + 12, 5*a - 38 = -3*g. Let v(f) = -7*f + f + 8 + g. Give -8*r(n) + 3*v(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(1\/(-2) + 0\/(-4)). Let c be 12\/9*1\/(j\/(-3)). Solve c*d + 5 = -3*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9181?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1859 - -17?\nAnswer: -1842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -54*f**3 - 14*f**2 + 3*f - 2. Calculate y(2).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6 - (-4 + (-308)\/1)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)\/sqrt(3) + 2 + -2 + -2*(sqrt(176) - sqrt(176)*-2)*-4)**2*-5.\nAnswer: -550000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 9:36 PM?\nAnswer: 10:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 11\/6 (c) -0.2 (d) 3\/643 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69594 is divided by 69571?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -50458?\nAnswer: 1\/25229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -683, 1\/10, 3\/46?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159298 plus -34?\nAnswer: 1159264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**8\/84 + 232*t**7\/105 + 1499*t**6\/15 - 7076*t**5\/5 + 11163*t**4\/2 + 2466*t**2. Determine q, given that o(q) = 0.\nAnswer: -61, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*(11 - (-6)\/2). Let y be (-1)\/(-2)*(-7 - -105). Let l = -35 + y. Calculate the highest common factor of v and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of 0 + 47*j**2 + 0*j - 1\/180*j**5 - 13\/1260*j**7 + 0*j**3 + 0*j**4 + 13\/720*j**6 - 1\/72*j**8. Find v, given that l(v) = 0.\nAnswer: -1, 0, 1\/4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 - 5*b**2 + 3*b**2)*(171*b**2 - 85*b**2 - 89*b**2 - 61).\nAnswer: -3*b**4 - 61*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(2\/(1\/(1\/(-2))))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876233711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.0745 - 122\nAnswer: -121.9255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1490)\/(-170) - 9 - -4*4\/(-136).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*p + 1737 + 3489. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a gram in milligrams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 300 and 26773350.\nAnswer: 53546700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24712?\nAnswer: 2, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 14*f + 8. Suppose -226 = -4*s - 5*k, -k = -2*s - 3*s + 268. Suppose 5*h - 14 + s = 0. Is n(h) 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 2251.\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h**3 + 163*h**2 + 57*h wrt h.\nAnswer: 12*h + 326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**5\/70 + n**4\/14 + n**3\/21 - 3*n**2\/7 - 26*n. Solve j(y) = 0 for y.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*c**3 - 10*c**3 - 6*c**3.\nAnswer: -31*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 2 + 3)*2\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*b + 32*b - 35. Suppose f + 5*p - b + 0 = 0, 0 = 3*f - 2*p - 15. Solve 3 = -5*y - 3*u - f, 5*y - u = -4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**3 + 16*f**3 - f**3 - 11*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of -y**4\/12 + y**3\/6 + y**2 + 2*y. Suppose 50 = -2*v + 12*v. Suppose g + m - 6 = 3*g, 0 = v*m. Give d(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.3 + -8. Let o(n) = 6*n**3. Let l be o(1). Suppose 0 = -2*x + l. Which is the second smallest value? (a) 4 (b) t (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3210132814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -89655, -89647, -89637, -89625, -89611, -89595?\n\"Answer: k**2 + 5*k - 89661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/1*6*2. Suppose p + x = 3*p. What is the remainder when 46 is divided by 66\/4 + (-3)\/p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3264\/(-672))\/(((-8)\/(-7))\/(-8)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + w**2 - 5*w**2)*(-2 + 2 + w**3) - w**4 + w**4 + 7*w**5.\nAnswer: 6*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 2188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149544 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -5 - 1. Let r be (-2)\/4*-4 - b. Solve -r*x = 6 + 2, 4*o - x - 18 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*q - 49*q - 29 = 6*z, -9 = z + 5*q for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 22, 558, -0.06, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 3*f**2 + 51*f - 49. Give n(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32610 - 32609. Which is smaller: n or -0.00974?\nAnswer: -0.00974","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -519.24.\nAnswer: 1557.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - -844\nAnswer: 843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6 - 19 = 11. Let p(y) = 6*y + 62. Calculate p(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 7*o = 60. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -t + 90. Let q be -7 - -2*(-1)\/2. Let m = q + t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -204, -208, -214, -222, -232, -244?\nAnswer: -258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y + 41. Calculate o(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1928?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*x + 4*x + 20. Let t be 0 - (0 + (-1 - 1)). Let n be (1 + 1)\/(t - 1). Put 1, x, n in ascending order.\nAnswer: 1, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6333 is divided by 72?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14861080 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5951299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -9*x - 0*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123659?\nAnswer: 31, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006 + -13005.73?\nAnswer: -13005.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3*(-126)\/56. Suppose 0 = 5*m - m - 3*n - 3, -3 = h*n. Solve -2*f - 8 = 0, -3*t - 2*t + 2*f + 28 = m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.62 - 1.62. What is the third biggest value in r, 1\/4, -2.2?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 296, 596, 898, 1202?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-20)*3*(-8)\/24*30.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.70491746 - 6.764917. Let v = 0.02 - -0.04. Let t = v + m. What is t rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -11. Let z = 10.2 - x. Suppose 0 = d - 5*d + 4. Which is the nearest to -2? (a) z (b) d (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millimeter in nanometers?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76682411 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.021, 2.2, -0.5, -3\/5 in decreasing order.\nAnswer: 2.2, -0.021, -0.1, -0.5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 228316137 rounded to the nearest ten thousand?\nAnswer: 228320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175)*-2)\/sqrt(5))\/(sqrt(5) - sqrt(720)).\nAnswer: 2*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -19965.\nAnswer: 23\/19965","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 477 + -472. Let s = 281 - 102. What are the prime factors of -2 - (1 - s) - c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 751, 851, 951?\nAnswer: 1051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g**2 - 3724*g + 861181. Let d(t) = -12*t**2 - 18624*t + 4305904. Let f(b) = -3*d(b) + 16*z(b). Solve f(v) = 0 for v.\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of 51*f**7\/7 + 13*f**3\/3 + 7*f**2\/2 + 553*f. Find the second derivative of h(y) wrt y.\nAnswer: 6120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*f. Let h = -10 + 8. Is h smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -47 + 51. Suppose 6*h - 2*x - 77 = 5*h, 0 = g*x + 4. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 41. Calculate the greatest common factor of 90 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 - 8*d**2 - 3*d + 7. Let r be u(7). Differentiate 34*f + 72*f + r - 41*f - 851 + 84*f with respect to f.\nAnswer: 149","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffffffffkffffff. Give prob of picking 2 k and 1 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hshss. Give prob of picking 1 s and 1 h.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2085, 1.7, 0.16 in descending order.\nAnswer: 2085, 1.7, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.263 + -0.063. Which is the smallest value? (a) s (b) -0.3 (c) -0.07 (d) -1\/6 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -216, -502, -924, -1494, -2224, -3126, -4212?\nAnswer: -5494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1044 divided by 3\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3203.9 and -0.06.\nAnswer: 3203.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1\/24)\/(21\/(-3332)) and 85\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 11. Suppose -4 = h, c = x - 2*x + 4*h + 18. What is the second derivative of 5*o + o**2 - 2*o + x*o**2 - 2*o wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -464*g**2. Let d(h) be the first derivative of h**2 - 238. Give a(d(l)).\nAnswer: -1856*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 309\/21 + (-6)\/(-21). Let w = 27 - p. Solve -6*i + 3*i + w = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472467603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2317 and 223212829.\nAnswer: 2317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-105)\/680) + 5*68\/(-595)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13258 is divided by 452*(-2 + 2 - (-1)\/2) - 5.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(108) - (sqrt(108) + sqrt(108)*1*6 + sqrt(108))) + sqrt(108)*2 + 1))**2.\nAnswer: -540*sqrt(3) + 24309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*q - 2 + (-q + 2*q + 0*q)*(-2 - 2 + 2))*(-2 + 8 + 6).\nAnswer: -48*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 246a16 (base 14) to base 8\nAnswer: 4605014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 9*z - 15*z**2 - 9 - 40*z - 17. What is the remainder when k(-13) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.44136182 rounded to one dp?\nAnswer: -12.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 8)*(2*l + 17*l - 3*l) + l - 2*l + 6*l as d*l + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5d - -bb8693?\nAnswer: bb8701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 - 15*g**3 + 16*g**3 - 13*g**3.\nAnswer: -35*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29480 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48162 is divided by 11754.\nAnswer: 1146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c**3 + 2*c**2 - 1. Give q(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485368.\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + (-2*sqrt(1088) - sqrt(1088)) + sqrt(1088)).\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 100. Let i = -55 + c. Is i at most 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 38 = 5*m + 45, 4*m = 2*g - 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2704 + 2708. Let f(j) = -2*j + 3. Let i(v) = -6 + 5*v - v - v - 1. Calculate o*i(x) + 9*f(x).\nAnswer: -6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 12:40 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.99, 6, 9, 0.5, 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x**4 + 3530*x**3 + 2753*x**2 - 786*x = 0.\nAnswer: -1, 0, 2\/9, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 14*x**2 - 55*x - 88. Give l(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/282*(2 - 4\/8). Let q = -37\/235 + z. Let u = 1.1 - -0.9. What is the third biggest value in q, 0.5, -2\/15, u?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1174.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.876 (b) -6.1 (c) 0.05 (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 20 + 48 = n, -24 = 2*n + 4*l. Which is the closest to 0.1? (a) -0.0572 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/3810202 and -115\/12.\nAnswer: 22861212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 768?\nAnswer: 687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*f + f - 95. Suppose -558 = 5*i - 138. Let r be (240\/i)\/(2\/(-7)). Solve -k + 6*u - u - 20 = 0, -r = -f*k + 3*u for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 14*h**3\/3 + 3. Let p(j) = -1761*j + 6 + 1760*j - 6. Determine p(x(a)).\nAnswer: -14*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 601 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m - 2. Let x(s) = 123*s + 252. Give -x(f) - 11*z(f).\nAnswer: -2*f - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94207 is divided by 498?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 367*f - 175 - 104 - 88. Calculate the highest common divisor of 1951 and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1d (base 16) to base 12\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from crrvca?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -103 - 15 - 30 - 40 + 32*b. Let y be g(6). Solve -1 - y = 5*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -37, -85, -153, -241?\nAnswer: -349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 7*u**2 + 4. Suppose 7 = -14*o + 15*o. Calculate a(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 7*k - 11. Let q be u(7). Let m = q + 55. Let l be 1 - (-1 - (3 + 6)). Calculate the greatest common divisor of m and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10877687 or 10877688?\nAnswer: 10877687","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - t - 2. Let p be k(-4). Let a = p - -32. Let r(c) = -12*c**3 - c - 1. What is the least common multiple of a and r(-1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p - 1. Let c be v(-1). Let q = c + 5. Solve -3*x - h + 12 = q, x + 7 = 2*h + 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 39*z + 3 - 59*z + 96*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 40261*t**2. Let p(j) = -3*j. What is p(a(i))?\nAnswer: -120783*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + c - 1. Let x(u) be the second derivative of u**4\/6 - 7*u**3\/6 + 7*u**2\/2 + u. Let w(j) = 3*g(j) + x(j). Is w(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1639 and -0.345?\nAnswer: -565.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s = 16. Suppose 5*v - 3*z = -7, 2*v + s*z - 14 = 4*v. Let l(g) = g - 2 - v + 3. Let y(r) = r**2. Calculate y(l(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkkkkkhkhkhddkkkk. What is prob of sequence hd?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (2 - (-61 + 33))\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 144659488 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26517, 53423, 80893, 109209, 138653, 169507, 202053?\nAnswer: 236573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*p + 4*g - 4 = 368*p, 5*g + 210 = -38*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:19 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371950060?\nAnswer: 2, 5, 277, 67139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(54)\/(sqrt(12)\/sqrt(2)))\/sqrt(3) + -3.\nAnswer: -2 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7674*o**2 - 3401*o**2 + 249*o**2.\nAnswer: -10826*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + -17)*(12 - (-93)\/(-6) - 0)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/20 + 23*p**4\/12 - 19*p**3\/6 - 63*p**2\/2 + 94*p. Let w be x(22). Solve -9 + 2 = i - w*q, 3*q = 2*i + 2 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3081 + -706. List the prime factors of z.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -884*l + 1. Let o(y) = -2656*y + 2. Calculate 3*o(b) - 8*x(b).\nAnswer: -896*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -14041 (base 11) in base 6?\nAnswer: -232350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**5\/30 - 293*c**2 + 4*c - 1. Let l(o) = -o + 1447. Calculate l(i(f)).\nAnswer: -2*f**2 + 1447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)*((m\/(m\/((m*m**(7\/3))\/m)))\/m)\/m)**(-17) assuming m is positive.\nAnswer: m**(-85\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/38 (b) 5 (c) 3 (d) 0.4 (e) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i**3 - 6*i**2 - 4*i. Let p be n(-1). Suppose 4*s + 3*a - 27 = 8, -3*a = -s - 10. Suppose p*d = -s*d + 2*d. Solve d*u = 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -537 divided by -3.\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/5))**10*(q**(-1))**41)**(-43) assuming q is positive.\nAnswer: q**1161","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (1*-2*sqrt(170) + sqrt(170)) - sqrt(170))\/(sqrt(40)\/(-2*sqrt(4)))*-4.\nAnswer: 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 50 = 2184*p - 2189*p, -r + 15 = -5*p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -267*a**3 + 246*a**2 + 1623*a + 126 = 0.\nAnswer: -2, -7\/89, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008709 rounded to 4 dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3333429?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 322\/(-115)*600\/(-5460).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3748*a + 37889 - 160667 = 2714*a for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4998 = t - 3*f + 5*f, 3*t - 5*f = 14972. Let v(k) = -168*k**2 - 7*k + 26. Let q be v(-4). Let z = t + q. What is z rounded to the nearest 100?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33759 and 363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -14*z + 29439610 - z**2 + z**3 - 11*z**2 - 29439576. Calculate a(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 482 + 62. Let v = s + -543.7. Let i(u) = u + 4. Let j be i(-6). Which is the smallest value? (a) j (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3006 + 3006.5. Which is the biggest value? (a) n (b) 35 (c) 0.3 (d) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33250*w + 25912.\nAnswer: -33250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -153565 at least as big as -153647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1437, 2739, 4051, 5373, 6705, 8047, 9399?\n\"Answer: 5*q**2 + 1287*q + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 234.\nAnswer: -7722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1222074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/10, -338, 2\/5 in decreasing order.\nAnswer: 2\/5, -9\/10, -338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-10)\/2 + (-4)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 314 + -309. What is the second smallest value in -4, 1.4, x?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1845, 7352, 16517, 29340, 45821?\n\"Answer: 1829*j**2 + 20*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 7638969?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.181 + -45.819. Let a = g + 46.1. What is the biggest value in -21, a, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -7\/2, 0.3, -1\/2, -4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2089.02313 + 2089. What is u rounded to three decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 2:20 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + g**4 + 3*g + (-8 - 5 + 5)*(-g**4 - 3*g**4 + 5*g**4).\nAnswer: -7*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 l, and 1 x when four letters picked without replacement from fxkkhxfxfkhflffk.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 16*x + 1. Let j(c) = -3*c. Let s(o) = -11*j(o) - 2*k(o). Let u be s(2). Solve -5*z + 15 = -u*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 16*w + 4. Let s = 32 + -20. Let v be a(s). Let m = v - -66. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(220)\/(sqrt(10)*3) - (sqrt(198) + sqrt(198) + sqrt(198)*-3))\/(((sqrt(1584) - (sqrt(1584)*-4 - sqrt(1584))) + sqrt(1584) - sqrt(1584))*-1).\nAnswer: -5*sqrt(2)\/108 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1590 divide 26842112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -11, -0.01, -1\/71?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 154 + -357. Let y = -201 - z. Which is the biggest value? (a) 3\/13 (b) y (c) 1\/2 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 69, 70, 71, 72, 73?\n\"Answer: n + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/18)\/((-12)\/18). Let q = -3.28 + 3.28. Which is the second biggest value? (a) n (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 36.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6235.399l in millilitres?\nAnswer: 6235399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 114806917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 12490?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/818, -0.4, 5, 3008\/17, 0.3 in increasing order.\nAnswer: -0.4, 1\/818, 0.3, 5, 3008\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -2*f + 108. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370941746 to the power of 1\/2, to the nearest integer?\nAnswer: 19260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86921 is divided by 600.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d**2 + d. Let f(k) = -2*k**3 + 57*k**2 + 2*k. Give -f(r) + 6*g(r).\nAnswer: 2*r**3 - 75*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -9. Let m = 6 - x. Which is greater: -0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*z + s - 11 = 0, -3*s - 3 = 0. Let f(a) = -a + 4. Let w be f(z). Let p = w + 15. Calculate the highest common factor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274065 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 0*n - 4*w = 281 - 273, 4*n - 16*w = 32 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/28*96\/(-120)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k - 2*k - 3*k)*(k - 2 + 2) - 25*k**2 + 4*k**2 + 15*k**2 - 9 in the form p + v*k**2 + b*k and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t. Let p(i) be the first derivative of 2*i**3\/3 - 237*i**2\/2 - 4306. Give p(n(w)).\nAnswer: 98*w**2 + 1659*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -398664*m**4 + 114*m**2 - 18909002 wrt m.\nAnswer: -1594656*m**3 + 228*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/263 in 2\/7, 1, 4, -5, 2\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 66748955, 66748964, 66748977, 66748994?\n\"Answer: 2*u**2 + 3*u + 66748950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -10170.4 to the nearest 10.\nAnswer: -10170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozeezum. Give prob of picking 1 z, 1 m, and 1 u.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*w - 410 + 70. Let p be ((-2)\/(-5))\/((-6)\/10). What is the nearest to 0 in w, -6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 479606645 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t*t**(-3\/32))\/((t\/(t\/((t**19*t)\/t)*t))\/(t**(3\/7)*t*t)) assuming t is positive.\nAnswer: t**(-3285\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*b = 29, -24 + 39 = i - 5*b. Suppose -3*a = -5*a + 3*g + 43, -105 = -5*a + 5*g. Solve i*p - a = 0, k + p = 4*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = u + 3. Suppose -9 = -u*q - 5. Suppose y = -6 + 1. Put y, q, -3 in ascending order.\nAnswer: y, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 take away -105684?\nAnswer: 105666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 3. Let m be (-72)\/18 - ((-112)\/6 + (-8)\/(-12)). Let b(c) = 4*c**2 + 14. Determine m*k(t) - 3*b(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 5*z**2 - 5*z - 10 + 3*z**2 to f*z**2 + y*z + b and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -10*w + 9*w - n, 2*w + 4*n + 48 = 0. Let a(r) = -3*r**3 + r**2 + 4*r. Let q(v) = -13*v**3 + 4*v**2 + 17*v. Let g(m) = w*a(m) + 4*q(m). Factor g(k).\nAnswer: 2*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 2*c**4 - 31*c. Let h(b) = -b. Determine h(z(t)).\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*k + 100 + 96 - 196 + 296*k.\nAnswer: 518*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/7)\/c*c)\/c**(-1\/10))\/(c*c**(-1)*c)**(3\/38) assuming c is positive.\nAnswer: c**(-81\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4, -0.37, -50.\nAnswer: -50, -0.37, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + 3*u - 7. What is the tens digit of i(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -127, -90, 35, 302, 765?\n\"Answer: 9*k**3 - 10*k**2 + 4*k - 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 4)*(-z**2 - z - 3*z + 3*z)*(32 + 6 + 6).\nAnswer: 220*z**2 + 220*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/1422 and -5\/237?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 56\/42)*4\/70. Let 4\/15*l**2 - 4\/5*l**3 + 2\/15*l**4 - 2\/5 + 2\/3*l + o*l**5 = 0. What is l?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u - 10. Let c be s(8). Suppose 0 = 4*y - m - 2*m - 23, -2*m - c = 2*y. What is b in -5 + 2 + 4*b - 12*b**2 + 7*b**y + 4*b**2 = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 867337, 867288, 867207, 867094, 866949, 866772?\nAnswer: 866563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 1) + 5 + -5 + 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16862 take away -4?\nAnswer: -16858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 - 14. Let n(u) = -m*u - 5 + 25*u - 8*u. Let w be n(7). Solve -w*k + 15 - 5 = 0, 9 = j + 2*k for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 94105, 94103, 94101?\n\"Answer: -2*d + 94107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(72)*-3 - sqrt(72))\/sqrt(6) - -3*sqrt(12)*5)\/(((sqrt(120) + sqrt(120)*1)\/sqrt(5) + sqrt(24))*-3).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*f = 0. Let v be -3 + -1 - (-29)\/8. What is the third smallest value in -4, f, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117099733 is divided by 104.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6525, 6524, 6511, 6480, 6425, 6340, 6219?\nAnswer: 6056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -57*h + 6139. What is the remainder when 7719 is divided by a(107)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 373, 661, 949?\nAnswer: 1237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2885 + 2885 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 12) to base 7\nAnswer: -132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0*v**2 - 7\/160*v**5 - v + 7\/48*v**3 + 1\/96*v**4 - 1\/240*v**6 - 3. Factor d(f).\nAnswer: -f*(f - 1)*(f + 1)*(f + 7)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7268 and 2528.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 2*j - 8, 4*h + 175*j = 179*j - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2 - 64*m + 170. Calculate v(-33).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-98)\/(-196))\/(1\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-15)*(-15)\/(-3). Suppose x*m + 78 = 6*m. Let f = -8 + 17. What is the remainder when m is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-116)\/(-290))\/(2*2\/(-12))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*a**3 - 210104*a**2\/3 = 0. What is a?\nAnswer: -105052\/159, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 - 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1626233.29 - 1633049. Let n = 6827.71068 + t. Let l = -12 + n. What is l rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 4*t**2 - 2*t + 979*t**3 - 2 + 1219*t**3.\nAnswer: 2198*t**3 - 4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 4 + 2 - (5 - 17).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z - 24. Let s be v(8). Let y = -51 + s. Let b = y + 107. Is 16 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.393 - -3.607. Which is the second smallest value? (a) d (b) -1 (c) -0.064\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 5. Let u be ((-8)\/(-4) + -16)\/(o\/1100000). Round u to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*g + 3*o = -246*g + 2, -3 = -g - o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1*69\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/3161 and -1\/25070?\nAnswer: 727030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 71. Let y = -26 + p. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f + 17*f - 3. Let q be 9\/f*(24\/9)\/(-4). Let p(c) = c**2 + 6*c + 3. Let x be p(-6). Put -2, x, q in ascending order.\nAnswer: -2, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1333 (base 6) to base 7.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*g**2 + 197*g**2 + 47*g**2 + 130*g**2 to the form r + t*g**2 + v*g and give t.\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188 = 46*k - 676 - 386 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*a - 6 + 11 = 61 + 19, -280*a = -840 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -29a (base 13) to base 14\nAnswer: -253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 504*j**2 - 8*j - 733. Determine y(-168).\nAnswer: 611","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6254942 by -3.\nAnswer: 6254942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 1. Let b be h(-3). Suppose v + 12 = b*v. Suppose 41 = 2*o - f - 4*f, f = -v*o + 49. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*u + 3*i, 9 = 2*u - i - 1. Suppose -2*o = 3 - u. Solve 5 - o = -c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 101 + 485. Suppose -73*o = -k*o. Are 6\/313 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 6 + 2*w + 2 + 2*w.\nAnswer: 4*w - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezfffllzlle. What is prob of picking 2 f and 1 z?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 38\/12 + 2\/(-12). Let h be (-20)\/9 + (-2)\/(-9). Let g = h + n. Sort -2, g, 0 in ascending order.\nAnswer: -2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -534*u + 5820. Determine j(12).\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19983 divided by 174?\nAnswer: -6661\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -2\/15, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 96 = -q, 2*h = -5*q + q + 366. Let c = q + -56. List the prime factors of c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**5\/60 - 2*j**3 - j**2 - 87078. Suppose -y + 0 = -5. Determine f(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118775429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1898146871.\nAnswer: 313, 2089, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 4, -5, 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0697827 to 3 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1060*w**5 + 2*w**3 - 979*w**5 - w**3 + (0*w + 2*w**3 + 0*w)*(-17*w**2 - 3*w + 3*w).\nAnswer: 47*w**5 + w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 22, 30, 36, 40, 42?\n\"Answer: -s**2 + 13*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - k. Let z(d) = 9*d**2 - 7*d - 61. What is -4*a(f) + z(f)?\nAnswer: f**2 - 3*f - 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -8*u**3 - 4*u**2 + 19*u - 16. Calculate c(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2015150 is divided by 338?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 + 233.1. Let o = i + 14.68. Let b = o - 28. What is b rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f = -33*f + 74*f - 63 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x + 4*v, 2*v - 3*v - 20 = -3*x. Solve x*p = -40 + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 31*a**2 + 1459*a + 23564. Determine f(-16).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/11 - -9\/44. Sort p, -3, -2\/11 in decreasing order.\nAnswer: -2\/11, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5854.588 litres in millilitres?\nAnswer: 5854588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12987\/(-111)*230\/(-598).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-272)\/(-1092) + (2\/12 - 375\/1170).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 9360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 336146829 greater than 336146827?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -j**7\/2520 - j**6\/144 + j**5\/20 - j**4\/3 + 6*j. Let q(i) be the third derivative of y(i). Give q(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6 - 5 + 11 + 27*p - 24*p**2 wrt p?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1 + -5 - (0 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 161977653?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.509104105 - -10.490895485. Let j = o + -11. Round j to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1208260211?\nAnswer: 911, 1326301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)\/(a*a*a**(-19)))\/(((a\/((a*a\/(a\/(a**(3\/13)*a))*a)\/a))\/a)\/(a*a**(-1\/10))) assuming a is positive.\nAnswer: a**(2877\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -564*z + 6759. Give f(14).\nAnswer: -1137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, l: 2, t: 2}. Give prob of picking 1 t and 1 n.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/4 of a day?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - n + 6*n = 13, -3*z - 6 = -4*n. Suppose q = -5*m + 2*q - 8, -5*m + 1 = z*q. Which is the biggest value? (a) 3 (b) 0.2 (c) m (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -7*f + f. Suppose -f*v = -11*v + 1040. Let k = 837\/4 + v. Put 1, 0.5, k, 5 in decreasing order.\nAnswer: 5, k, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4*g**2 - 3)*(5*g + 2*g - 4*g) in the form l*g**2 + s*g**3 + h*g + i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 15*t - 6. Let r(c) = 7*c - 3. Let s(q) = 3*l(q) - 5*r(q). Let m(f) = -21*f + 7. Give 3*m(u) + 7*s(u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5675 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-7)\/2)\/7. Suppose 4*d - d - 3 = y. Suppose 5*w + 11 = d, 2*w - 40 = -q. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -19*n + 33. What is x(0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 9*h - 14. Let v be d(7). Suppose -3*g = -7*g + b + 26, -g - 2*b + 2 = v. Solve 2*f = -0*f - g for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -5*o - 35, x + o = -4. Is x less than 1\/133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4450 + -4451. Which is the nearest to 1\/9? (a) -0.7 (b) j (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 2*k**2 + k + 1. Let x be a(2). Let y(h) = -4*h - 5. Let n(c) = -5*c - 11 - 4*c + 4*c - 4*c. Determine x*n(s) - 7*y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 10 - 3*l - 6*l - 12 + 3. What is h(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 16*m - 117. Let h be f(7). Which is the smallest value? (a) 0 (b) -5\/4 (c) 3 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3*v - 63*l**3 + 4824*l*v**2 + 28*l - 2*v**2 + 2*v wrt v.\nAnswer: -l**3 + 9648*l*v - 4*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 25 = -v. Let m = -1.095 + 7.095. What is the biggest value in v, m, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11452979 - -2?\nAnswer: 11452981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30743 + 15221?\nAnswer: 46164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-48)\/(-32) - -14)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -602 - -3475\/6. Calculate the common denominator of 15\/18 + 1\/(-1) and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 31 + 21 = 0. Let v(i) = i + 12. Let d be v(-2). Let a = 29 + d. What is the highest common factor of a and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 4*u + 0*u)*(-u**4 + 4*u**4 + 0*u**4).\nAnswer: -3*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 42*z**2 + z + 34. Is p(-40) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.06, -0.05037, 1, -6\/13, -0.1?\nAnswer: -0.05037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 109*f + 22. Let k(o) = -15*o + 3. What is 15*k(z) - 2*v(z)?\nAnswer: -2*z**2 - 7*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100100 + 101000?\nAnswer: 10001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yl when two letters picked without replacement from {l: 1, y: 7, u: 5}?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1102433 - -2245?\nAnswer: -1100144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9386.9982781 - 9387. Let p = 0.0017 + s. What is p rounded to six decimal places?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/864 + 3\/6 - 9\/12\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v**3 - 3*v**2 - 312*v - 1 + 311*v - 1 to y*v + k*v**3 + d + g*v**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 584837?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1483 is divided by 107*(1\/4 - 728\/(-416))?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 0*p**2 - 41 - 5*p - 13*p + 41.\nAnswer: -2*p**2 - 18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t + 75 - 51 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(4\/7)*(o*o**1)\/o*o*o*(o\/(o\/o**0)*o)**(12\/19) assuming o is positive.\nAnswer: o**(559\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-91 - (-219 + 86))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 49*a**2 + 50*a - 191. Determine j(5).\nAnswer: 1284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 2*v + 8 = 2*v, 2*q + v = 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 304, 649, 990, 1327, 1660, 1989, 2314?\nAnswer: 2635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.081 (b) -131 (c) -2\/9 (d) -0.059 (e) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -414432 (base 5) to base 11\nAnswer: -a363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 2.5. Suppose 0 = 12*g + 5*g - 34. Let c be 4\/g*17\/(-68). What is the nearest to c in r, 1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 107*m = 114*m - 48, -5*x = -4*m - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + -1. Let h be (-72)\/(-30) - (-4)\/n. Solve h = 2*i - 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12 + 26\/(-24))*-9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28102 = 6*a + 28024 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 16*n - 12. Let d(z) = -9*z + 6. Determine -5*d(o) - 3*u(o).\nAnswer: -3*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 291062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2511948487 a multiple of 1407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -115\/318 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (27 - -5) + -4 + -13.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Suppose 0 = -2*u + 19*u - 51. Let m(v) be the second derivative of -3*v + 0*v**2 - 1\/2*v**u + 0. Give m(d(i)).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6 + 6 = 0. Suppose 4*v - 883 = 2*q - 3*q, w*q = -2*v + 2659. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20 and 91?\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:19 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 34. Let j be y(11). Let i be 1*j - 105\/(-90). Which is the nearest to -1? (a) -4 (b) -2\/15 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in -41, 9\/208, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96409 and 14735?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-21)\/28)\/1*(-16)\/(-6)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -264 + 233. Let n(u) = 7*u + 149. Let x be n(a). Is x at most -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9025*b**2 - 77*b**3 + 4512*b**2 + 4506*b**2.\nAnswer: -77*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*(-6 + 6) - -29. Find the second derivative of f*a**2 - 92*a**2 - 3004*a + 2914*a wrt a.\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*m - 249*m + 95*m.\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 30 = -17 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/517568 and 45\/932.\nAnswer: 120593344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -73*v + 66*v. Solve 2*h - 5 = -m, 0 = -2*m + 5*m + h - v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51633 + -34260. List the prime factors of c.\nAnswer: 3, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, -5, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*s - 3*s + 5*l, -6 = 3*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-15)\/((-900)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -8. Suppose 2*j = -z*j. Solve i - 27 = -j*n + 5*n, -5*i = 4*n + 10 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14898 by 5.\nAnswer: 14898\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31034.72 rounded to the nearest 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 m when four letters picked without replacement from {m: 2, y: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n - 9. Suppose 0*m = c + 2*m - 17, -65 = -3*c + m. Suppose -5*i = -8*i + c. Calculate v(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 247623896?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 12:29 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 669966619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2302 is divided by 192.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 26164 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 354342 to the nearest integer?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 362, 2, -4\/3, 5, -5.\nAnswer: -5, -4\/3, 2, 5, 362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.75 + -18.18. What is z rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 946*q - 945*q + 6*r - 1 = 0, 2*q - 2 = 2*r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -656 - -32?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 6:55 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s - 16 - 35 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 4*v + 3*v**3 + 2 + 2*v - 4*v**3 + v - 5*v. Let r(n) = -6*n + 4*n**3 - 6*n - 7 + 5*n. Calculate -21*k(f) - 6*r(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 58882 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 9*q - 9. Suppose 0*l - q*l = -135. Let o = 79 - l. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nunnunnnffnnuffu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -12975 divided by -4325?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 750 + -746. Sort -2\/5, n, -4, 6.\nAnswer: -4, -2\/5, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/3, 90, -5, -4 in descending order.\nAnswer: 90, -2\/3, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/8*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 675361354.\nAnswer: 2, 43, 7853039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11101 (base 3) to base 11\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8812 - -4862. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -133 - -153. Suppose 5*r = t, 4*l - 6*r - 20820 = -4*r. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = -0*g + 5*g. Let p(k) = -g*k**3 + 4*k - 3*k - 1 - 3*k - k**2. Let x be p(-1). What is the greatest common divisor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200230303 (base 4) in base 16?\nAnswer: 20b33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 938\/4165 + 1 - (-4)\/34 and -51\/301.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14388, 28900, 43536, 58296?\nAnswer: 73180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a*w**3 + a*w**2 - 3*a - 11837*w**2 - 12233 wrt w?\nAnswer: -12*a*w**2 + 2*a*w - 23674*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -419\/63 + 45\/7. Let h = -2.1 - -2. Let z be ((-1)\/(-2))\/(2 + -3). Which is the nearest to p? (a) 2\/3 (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/27 + (-38)\/45.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 22) + 1 + (10 - 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 337339873.\nAnswer: 13, 23, 1128227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -5, -4 in increasing order.\nAnswer: -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*i = -8*i + 228 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36 (b) 1 (c) -2\/29 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -49 and -40.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392 divided by -103.\nAnswer: -392\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.227 in 177, -4, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -782 * -20.\nAnswer: 15640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - 4. Let b be l(-3). Let s be b\/24 + 22\/6. List the prime factors of ((-68)\/(-2) + s)\/1.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*x - 26*x + 16*x)*(-5 + 3 + 0) - 4*x + 2*x + x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*j + 70 + 47 = -88*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 0. Suppose -x*f - 3*f - 100 = 0. Let r be (8\/10)\/(f\/(-50)). Solve 0 = -r*w - 4*h + 20, -5*w = -h + 1 - 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 82913894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-18)*k)*k*k*k*k\/k**(-6\/11)*k*k)**10 assuming k is positive.\nAnswer: k**(2700\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 13.85. Let f = 0.2 - s. Let h = 4.05 - f. Which is the nearest to 1\/2? (a) -5 (b) h (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42*18\/(-162)*((-54)\/(-7))\/(-3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1161 and -5364.962011.\nAnswer: -6525.962011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/10 of a meter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 253\/(-30) - ((-2)\/(-48))\/(211\/(-844)).\nAnswer: 43\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 4 - (9 + 4 + -11)) + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -3*r - 12. Let f be z(-9). Suppose q + 307 = 5*s - 258, 0 = 3*q - f. Suppose s = 2*h + o + o, 2*h - 106 = 2*o. Round h to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s - 2*s)*(-1 - 5 + 5) - 2*s - 1 + 1 + 6*s - 9*s - 10*s + 0 + 0 + s + (-2*s + 2*s - 2*s)*(-3 + 4 - 2) - 1 - s + 1 - 2*s - 1 + 1.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2. Let a(f) = -89259669*f. Determine o(a(n)).\nAnswer: -15934577019979122*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4051 + 4054. Which is the biggest value? (a) -5 (b) 60 (c) s (d) -1\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 25 - 11 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-7) - 0 - -1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7873, -7875, -7877?\n\"Answer: -2*t - 7871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 20, -w - 4*n = -6*n - 37265. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m*m**9*m)**(2\/65)\/(m**(-35)*(m**(1\/13)\/m)\/m))**(-2\/45) assuming m is positive.\nAnswer: m**(-4852\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 5)*(v + v - v)*(-27*v - 11*v - 25*v) + v**2 - 3 + 3 as x + i*v**2 + d*v and give i.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 15*b**2 - 6*b - 28. Let m be n(-8). Round m to the nearest ten.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -415*b - 5*t = -414*b - 18, -b = -3*t + 6. Solve -4*p - 9 = b*n + 2, 2*p - 17 = 3*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -2*t. Is -2*((-174)\/4 + t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/6 and 36\/(10580256\/(-170))*(-146)\/15.\nAnswer: 12966","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2978, -10377, -17776?\nAnswer: -25175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1586 (base 16) to base 9\nAnswer: -7502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:29 AM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**4 - 328*h**3 - 5180*h**2 - 18816*h = 0. What is h?\nAnswer: -7, 0, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338*x**4\/17 - 26650*x**3\/17 - 471928*x**2\/17 - 3016928*x\/17 - 6135936\/17 = 0. Calculate x.\nAnswer: -57, -116\/13, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 815.8704ml in litres?\nAnswer: 0.8158704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 20 = 5*o + 2*f, -8 = -2*o + f. Solve -4*i + 28 = -4*x, x + 19 = o*x + 5*i for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -839711, -839633, -839555?\n\"Answer: 78*f - 839789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-4))\/((-2)\/(-6)). Suppose 2*k - 6*k + r = t, -6 = -2*t + k. Solve 3*u = t*j + 6, 5*j - 2*u = 2*u - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 120660101?\nAnswer: 120660100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -3*o**3 - o**2 - 3*o - 3. Let r be v(-3). Is r\/(-4) - 4\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 - -2.8. What is the smallest value in -0.5, f, -2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, v: 1, i: 1, s: 1, x: 1}. Give prob of sequence xs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -92, -210, -342, -470, -576, -642, -650?\n\"Answer: 3*c**3 - 25*c**2 - 64*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 1409486 = 1409386 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2204384129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**2 - 14*t - 3. Give g(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17472 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1134 and 1050?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 204171864.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, -2, 1495 in increasing order.\nAnswer: -5, -2, 0, 1495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u - 6 + 103*u**3 - 128*u**3 - u - 30 wrt u.\nAnswer: -150*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 17 - 5. Suppose g + 40 = 4*m, 32 + 11 = 3*m - i*g. Let x(k) = 2*k + 11. Let a be x(-4). Solve 0 + m = a*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 + 0 + 0 + (-4*f**2 + 5*f**2 - 3*f**2)*(0 - 10 - 3).\nAnswer: 27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, u: 9, b: 4}. What is prob of sequence ubb?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 40 + 8 - 21 + 9 + 2*t. Determine i(0).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1\/31, -74770.\nAnswer: -74770, -4, 1\/31, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 2. Let t be p(3). Let n be -3*t\/(-1)*-5. Suppose -4*g + n = -81. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.6. Let t = 50.976612 + 0.023388. What is the third smallest value in k, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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 remainder when 53451 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*h - 42, -2*m + 16 = -6*h + 10*h. Suppose 6*n - 2*n - m = 0. Suppose -215 = -n*i - 47. What is the remainder when i is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5.20516 and -2?\nAnswer: 10.41032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 10. Let s be i(6). Let u be ((-4)\/6)\/(s\/(-6)). Let c(w) be the third derivative of w**5\/6 - w**3\/6 - 17*w**2. What is c(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + 18*c**2 - c + 47. Let w(o) = o**3 - 9*o**2 + o - 24. Let s(z) = 3*l(z) + 7*w(z). Let d be (-12)\/(-66) + (-238)\/(-22). Is s(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62726.22 milligrams to kilograms.\nAnswer: 0.06272622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -132*d + 392. Is f(-12) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(-2\/57)*(p\/(p\/p**(-1\/7))*p)\/p**(-7) assuming p is positive.\nAnswer: p**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1218 = -111*u + 336 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d. Let c(w) = 3*w. Suppose -3*a = -a - 8. Let h be (0 - 16)*a\/(-8). Let u = -68 - -71. Give h*p(g) + u*c(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*((5 - 4 + 1)*(-1 + 0 + 0) + 33 + 16 - 14)*(-4*q + 5*q + q + (-3*q + 2 - 2)*(-3 - 4 + 4)).\nAnswer: 726*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1434101432 - 2?\nAnswer: -1434101434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 - 0.6. Let i = -0.003 + -0.0168. Let a = i + q. Round a to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-392 + 392 + 110*u)*(5*u + 5*u - 6*u)*(-13 - 6 + 6) to the form c + o*u**2 + q*u and give o.\nAnswer: -5720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1273 - -667. Let q = -407 - u. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 45041790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2*x - 12, -k + 5*x - 1 = 5. Let l(n) = -3*n**3 - 10*n**2 - 3*n + 54. Let o be l(k). Round o to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -495.0379 - -495. Round n to three dps.\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m + g + 2*g = 4*m - 2*m - 192, -64 = 51*m + g for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694153342?\nAnswer: 2, 151, 367, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 1361*d**2 + d - 2. Let z be q(6). What is z rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/7 (b) -3\/10 (c) -0.09 (d) -2\/253 (e) -1\/6 (f) -4 (g) -4\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = 2*z + 32. Solve -z = -2*d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*t*y**2 + 16*f**2*t*y + 3*f**2*t + f*t*y**2 + 48*f*t - 2*f*y**2 + t*y**2 wrt f.\nAnswer: -4*t*y**2 + 32*t*y + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 + 10*o - 9. Let j be p(6). Suppose -10*s = -j*s + 40. Suppose 9*h - s*h - 18 = 0. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*f = -23*f + 178 + 173 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 24. Suppose -5*k = -2 - b. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 - 48. Let h = -6 + 4. What is the nearest to 2\/5 in 0.1, s, h?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:21 AM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47238, -47238, -47236, -47232?\nAnswer: -47226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 350, 853, 1692, 2867, 4378, 6225, 8408?\n\"Answer: 168*t**2 - t + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 472 - 402*g + 116*g - 472 as w + t*g and give t.\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 48 - (100 + -126).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/19 greater than -0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.219*-0.0475.\nAnswer: 0.0579025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 5, -10\/37?\nAnswer: -10\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 9:10 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10890058.7 plus -7?\nAnswer: 10890051.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14468885 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 40*m + 945. Calculate l(-26).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65*v + 2080 - 845 for v.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(78))\/sqrt(6) + sqrt(13) - (sqrt(26)*-1)\/sqrt(2).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j\/(j**(3\/5)*j)*j)\/j*j)*j*(j**(2\/5)*j*j)\/j*j*j**(-1\/7)\/j**10 assuming j is positive.\nAnswer: j**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j. Let q(t) be the second derivative of -13*t**3\/6 - 11*t + 2. Give q(m(p)).\nAnswer: 39*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 70 = h, 3*u + 3*u = 2*h - 6*h + 70 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/(-14))\/(10968\/19194)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 2*p**6\/3 + 12*p**5\/5 + 3*p**4 + 4*p**3\/3 + 1. Factor v(a).\nAnswer: 4*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -4. Let g = 57\/14 - 32\/7. What is the second biggest value in 0.2, w, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -163152 by 40788.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 548 + -550. Put -3, 4, -103, k in decreasing order.\nAnswer: 4, k, -3, -103","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214*a + 349*a**3 + 214*a)*((1 + 2*a - 1)*(3 + 2 - 7) + 0 - a + 0).\nAnswer: -1745*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d)*(0*d - 11*d + 7 + 12*d).\nAnswer: d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-12)\/(-6))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 191572 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 358208681 and -386.\nAnswer: 358208295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0026 and 48.\nAnswer: 0.1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 165 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 104 - -37e15?\nAnswer: 38019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -3*k + 6804, -5*k = -8*k + 5*r + 6812. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*l = -0*t + 96, 0 = -3*t - 2*l + 74. Let g be (-21)\/7 + t\/10. Which is the second smallest value? (a) g (b) -3\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - 1) + 88\/(-44). Put 4, 5, 9, u, 0 in ascending order.\nAnswer: u, 0, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 13 + 41 = -4*l, 5*y + 27 = -3*l. Let n be 2\/12 - 1\/y. Let t = -0.1 + -0.1. Which is the nearest to t? (a) n (b) -2\/9 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1175 * 0.080464.\nAnswer: -94.5452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-208) + (-15)\/(-40)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (182*i**2 - 11*i**3 - 99*i**2 - 2 - 75*i**2 + (3*i + i - 3*i)*(-i**2 - i**2 + 3*i**2) - 1 + 1 + 2*i**3)*(-4 - i**2 + 4).\nAnswer: 8*i**5 - 8*i**4 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 58, 264, 598, 1066, 1674, 2428, 3334?\n\"Answer: t**3 + 58*t**2 + 25*t - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 219999 - ((-8)\/4 - -1). Round l to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.74 (b) -4 (c) -0.2 (d) -5 (e) -0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1338*a = 1307*a + 434 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 119 and 1183438?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*z + c, -3*z - 28 = 2*c + 13. Let l(j) = -j + 7. Let o(t) = -2*t + 13. Let r(a) = z*l(a) + 6*o(a). Give r(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 120397242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -7269*x + 247163. Give j(34).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5493?\nAnswer: 3, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40095, 80626, 121161, 161700, 202243?\nAnswer: 242790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4697, -20201, -46041, -82217, -128729, -185577, -252761?\nAnswer: -330281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -7*f**3 - 4*f**2 + 11*f - 6. Let c(r) = 15*r**3 + 8*r**2 - 23*r + 13. Let p(w) = 6*c(w) + 13*y(w). Let p(l) = 0. What is l?\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**27*g*g*g**(-15\/7)\/g*g)**(-50))**35)**(-3) assuming g is positive.\nAnswer: g**(-137250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*u = 0, 0 = 2*u - 6 - 0. Factor 13*q - m*q**2 + q - 3*q + 7*q.\nAnswer: -3*q*(q - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 64 - 222 = 0. Suppose 5*t - 4*t = 3. Solve -3*b - t*o + 5 + p = 0, 3*b - 12 = -o for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:20 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 959331.\nAnswer: 3, 89, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939964 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - f. Let g(x) = -2*x + 7358. Determine z(g(y)).\nAnswer: -8*y**2 + 58866*y - 108287686","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212 divided by 15829?\nAnswer: 212\/15829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 967*y - 84114. Calculate d(87).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(33)*1)\/(sqrt(3)*-3*3).\nAnswer: 5*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15423\/41128)\/(3\/(-688))?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-4))\/(468\/(-3120))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*j + 2*m - 41, m + 21 = 2*j. Let g be j\/(-3) - (-16)\/16. Let b be (3 + (-9)\/7)*-1. Which is bigger: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 1. Let l be q(1). Suppose -x = -l*x - 9200. What is x rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h. Let k(n) = 6072*n**2. What is k(p(q))?\nAnswer: 218592*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5, n: 7, y: 4}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13796083 is divided by 56310?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 258604.604 + -0.2.\nAnswer: 258604.404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 64\/(-30) + 2 - 6\/30. Let a be (-15)\/30 - (-10)\/4. What is the closest to a in -5\/2, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -112791\/11 and -10253 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -s**4 - 1151*s**3\/9 + 64*s**2\/3 - 48*s - 47. Let k(l) = 0. Calculate l.\nAnswer: -64, 1\/18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, k: 2}. What is prob of picking 4 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48275 or -48266?\nAnswer: -48266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1152 = 2*o, 2*o - 4 = o. Suppose 5*v + 4*t - 710 = -0*t, 2*v - w = -2*t. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 317528 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 4:42 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*w - 117 - 50*w + 140 + 294 with respect to w.\nAnswer: -91","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 51\/(-2)*32\/48. Let h = w + 21. Suppose -q - h = -2*q. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*d + 38*d - 4*h + 6659, 3*d - 3*h = 6645. What is the thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -2\/5, -9 in decreasing order.\nAnswer: 32, -2\/5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-18))\/((-1584)\/1944).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 4629.8?\nAnswer: -4630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + 4*b - 2 - b + (-43 - 49*b + 43)*(-2 + 0 + 4) to the form m + t*b and give t.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8)*8)\/(-1*98\/7)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 31 - k**3 + 15 - 14*k**2 + 15*k. Let u be b(-15). Is 3\/3*(u + 128) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149982*n**4 - 391*n**3 - 67210*n**2 + 1067*n wrt n.\nAnswer: 3599568*n - 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3, 20, 49, 90, 143?\n\"Answer: 6*k**2 - k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140.0820541 - 146.082054. Let n = 8 - 2. Let t = v + n. Round t to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 5) in base 13?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/111 - 2101\/888. Find the common denominator of 47\/25 and m.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/1826 and ((-1)\/(-132)*-2)\/((-149)\/(-18327)).\nAnswer: 1826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -5, 3, 4\/13, -2 in ascending order.\nAnswer: -5, -2, 1\/5, 4\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 12. Let l be (q\/(-2) - -3)\/(-2). What is the units digit of (-12)\/3*43\/l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9060 and 741108?\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2712*j + 2767. What is s(1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 + 25*u**2 - 29*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5050*m**2 + m. Let i(s) = -16*s. Determine i(g(h)).\nAnswer: -80800*h**2 - 16*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*w + 12. Let b be (-1)\/((w\/(-36))\/(-1)). Calculate the greatest common factor of b and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 28*c = -120. Let w(n) be the first derivative of c + 0*n**2 + 5*n - 1\/3*n**3. What is the derivative of w(f) wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11430375 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2 + -8.4044?\nAnswer: 27.7956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 11) to base 12\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -2\/7, 3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48*b + 3*b**2 + b**2 - 16*b**5 + 45*b + 0*b**5 - 2*b**2 + 3*b**4 wrt b?\nAnswer: -960*b**2 + 72*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-9)\/(-27)*60\/(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 + 42. Differentiate 3 + 2*l**q - 49*l + 12*l**2 + 49*l with respect to l.\nAnswer: 28*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-68)\/(-6) + (-12)\/(-18). Let r be (8\/s)\/(4\/18). Suppose 5*b = r*b + 26. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(156)\/sqrt(192)*4 + (-2*sqrt(832) - sqrt(208)*2))**2.\nAnswer: 9477","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -2*r - 10, 10 = j + 4*j - 2*r for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -4\/5, -9\/112?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45 - 11 - 17)*(0*x**3 - x**3 + 0*x**3) in the form k*x**3 + b*x**2 + q + w*x and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76653.\nAnswer: 3, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 99402407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213361149487 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00151514 rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -1031712?\nAnswer: 1031700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1*(-1 + sqrt(125)) - -6*(sqrt(125) + sqrt(125) + 2 + sqrt(125) - sqrt(125))) + (sqrt(125) + 1 + 4)*2)**2*-6.\nAnswer: -129396 - 16380*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 386 + -380. Solve 1 = m*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -2866, -3, -6 in descending order.\nAnswer: -1, -3, -4, -6, -2866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*r**4 - 4*r**4 + 2*r**5 + (-2 + 2 - r)*(r**4 + 3*r**2 - 3*r**2) - 15940*r**3 + 15940*r**3 - 2*r**5 - 135.\nAnswer: -r**5 - 135","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*u + 769382 = 0, 577039 = 3*c - 15*u + 16*u. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 2\/16318535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*s + 2137 + 593. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 - -5. Let x be (-8)\/(-2) - (-114)\/(-27). Sort -0.5, x, g in decreasing order.\nAnswer: g, x, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.6617995 + -4.6018. Let g = 0.06 - u. What is g rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + 60\/27. Let d = 32.88 - 49.88. Does d = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -5. Suppose -1668 = -2*a - 2*g, -a = -2*a - 4*g + 822. Let z = a + -830. Solve -4 - z = -v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 24. Let q = s + 11. Let x = q - -6. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29.1 + -23. Let v = -6.2 + b. Sort 3, -1, 15\/7, v in descending order.\nAnswer: 3, 15\/7, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 201618832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42163?\nAnswer: 11, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-997.84058.\nAnswer: -299.352174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19, 3, 5, -0.02, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 4*i - 330 = 0. What is the remainder when 218 is divided by i?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 153337*c**3*j**3 - 7*c**2*j**3 - 13*c*j**3 + 2719*c*j - 6*c wrt c?\nAnswer: 920022*c*j**3 - 14*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6953957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:49 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**3*k)\/k**(2\/9)*(k\/(k**(-1)\/k))**(11\/9))\/(k*k*k\/(k*k**(2\/9)*k)*k*k*k**(-3)\/k)**15 assuming k is positive.\nAnswer: k**(187\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 468 divide 254592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 - -155. Suppose -3*z + 32 = 5*w, 5*z - 5*w = -2*w + 8. Calculate the highest common factor of o and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + f = -34, 0 = -2*x + x - 5*f - 5. Suppose -5*w - 3*p = 11 + 28, -3*p - x = w. Let g(b) = -b**2 - 5*b + 8. What is g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 875 = -2163. What are the prime factors of h?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-5))\/(-13*(-20)\/650)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-6)*h\/(h*h\/(h\/h**(-2))*h*h*h))\/(h\/(h**3*h)*h**6) assuming h is positive.\nAnswer: h**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -351 (b) 0.05763 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 392 = -0*q. Let p = 55 - q. Let t be 45\/(-21) - (2 + 4*p). Which is the biggest value? (a) t (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 2*v - 72 = 0. Suppose -17*h = v*h. Let b = 39\/16 + -5\/2. Are b and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -63 + -6 + 168\/(-12)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.3, -1\/4, -1, -122\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 4. Let v(m) be the second derivative of -35*m**3\/3 - 99*m**2\/2 - 2*m + 27. Let b(a) = 2*g(a) - v(a). Differentiate b(h) with respect to h.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 348*g + 183. Let n be m(18). Let p = n + -2810. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -1\/3, 0.4, -0.0535, -4, -18, -1\/9, 1\/3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -203682222 divided by -6?\nAnswer: 33947037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0 + 0)*(0*o + 3*o + 3*o + 1).\nAnswer: -12*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-367)\/(-5138)*(-105)\/(-50)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from xxifcxxxxxxxci.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -2 + 2 + -12 + 5 + 1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**4\/24 - n**3 + n**2. Let i be 36\/8*44\/33. Let x be h(i). Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, -2, -0.1, -313, 3, 0.04?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-288)\/(-4)*3*(-14)\/(-168).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 120 = 2*x. Suppose -2*g + 12 = n, 3*g - 16 = -g. Suppose 3*s = n*b - 67, b = -0*b + 5*s + 21. What is the remainder when x is divided by b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -10. Suppose -2*j - m*j = -180. Suppose 0 = -5*b + 5*y + 35, 2*b - 24 = 2*y - 5*y. Calculate the highest common divisor of j and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 10. Let j be 1 + -1 + o + 4. What is the tens digit of ((-273)\/35)\/(j\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15729 times 1.361?\nAnswer: 21407.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 726433.7 centimeters?\nAnswer: 7.264337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 291, 401, 575, 807, 1091?\n\"Answer: -g**3 + 38*g**2 + 3*g + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 - j + 1. Let h be q(1). Suppose 0 = -138*p + 143*p + 20. Put h, p, 4 in increasing order.\nAnswer: p, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 8*c**2 + 3*c + 16. Is k(-5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/12 and 56\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 48*r**3 + 38*r**3 - 2*r - 3*r**2 - 85*r**3)*(-3*r + 3*r - 2*r) as p*r + h*r**4 + i*r**3 + x*r**2 + m and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of a**4\/18 - 50*a**3\/9 + 49*a**2\/3 - 84*a. Factor r(o).\nAnswer: 2*(o - 49)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.67 - 3.33. Let f = -20.4 - d. Which is the biggest value? (a) -4 (b) f (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 97. Let h be a(-19). Let u be (-1 - 0\/(-4)) + 4. Suppose -u*t + 82 = 5*s, -2*s - 5*t + 65 = h. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l + 19. Let h(i) = -i + 5. Let f(a) = 9*h(a) - 2*q(a). Let m(j) be the third derivative of -j**4\/24 - j**3 + j**2. Determine -6*f(n) - 7*m(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 0*p - 2*p)*(0*p + 0*p - p**2) + (5*p - 4*p - 3*p)*(6*p**2 + 692*p - 692*p).\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - (sqrt(140) - (sqrt(140) + -1*sqrt(140))*3))\/(sqrt(7)*2*2))\/(-3*sqrt(810) + ((sqrt(30) + sqrt(1470))\/sqrt(3) - sqrt(10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 13*m**2 + 82*m + 39. What is the hundreds digit of n(25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 459 - 454. Solve 0 = -3*h + 15, -9 = -5*p - f*h + 11 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * -0.74\nAnswer: -0.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3751403331?\nAnswer: 3, 13, 167, 575987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 - 5462.\nAnswer: -5462.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m - 0. Let l(k) = m*k - 3*k - 4*k - 5 - 13. Does 7 divide l(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18840 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*y - 21*y + 52. Which is bigger: y or 4\/1195?\nAnswer: 4\/1195","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4 + 428580*u**3 + 77*u**2 - 2745*u + 45461?\nAnswer: 12*u**2 + 2571480*u + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1430453, -1430449, -1430445, -1430441?\n\"Answer: 4*b - 1430457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/867 + -45965\/6069. Calculate the common denominator of t and -35\/57.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 13*n**2 - 9*n - 5. Give h(14).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 2 + (-4 - -4). Solve -g = a*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 15*a**2 - 42*a - 19. Is o(19) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1757*b = -1809*b + 506532. What is the highest common factor of 51 and b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.87 - 3.87. Let m = 72.9 - y. What is the biggest value in -2, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5 - (-1 - -2 - 0). Suppose -8*y + 32 = -b*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23293498 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from ebbej.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*t + 4*t + 12 - 12 - 17*t - 55*t**2 to r*t**2 + b*t + l and give r.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 184024409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 17791, 35576, 53337, 71062, 88739, 106356, 123901?\n\"Answer: -2*t**3 + 17799*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.22 - 0.12. Let l = 3 - 3.02. Let t = n - l. What is t rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 4 (c) 14 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*h = 72*h + 8389 + 131 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10147579)\/(-5) - 3\/(-15). Suppose 3*q = -1870484 - s. Round q to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of -39*(30\/9 - 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = 28. Suppose 0 = -0*d - d - a. Let t(b) = -3*b**2 + 4*b - 6. Let g(x) = 4*x**2 - 5*x + 7. Give d*t(q) - 6*g(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 6 = -34. Suppose b*g = 12*g - 8. Factor 3\/5*s + 2\/5 - 1\/5*s**3 + 0*s**g.\nAnswer: -(s - 2)*(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 18*r + 23. Calculate m(-16).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = -2*f - 47. Suppose -f*d + 10*d - 2532 = 0. Is 5\/((-10)\/(-42))*d\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 2*m**2 + 6 - 4 - 4*m as q*m + f + s*m**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6635 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/120*25\/(-90)*2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, -642, -2839, -7420, -15237, -27142?\n\"Answer: -142*x**3 + 86*x**2 + 71*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 + 3*m + 16. Let q be s(-3). Sort -2, q, -3.\nAnswer: -3, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 532594697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + c + 3*c)*(-2*c + 2*c + 2*c) + (467 + 199 - 66)*(4*c**2 - 3*c**2 + 4*c**2).\nAnswer: 3002*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (495\/(-13560))\/(6\/8). Let n = r - -5675\/125882. Is n less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38435989 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 0)*6*1. What is the remainder when -4 + 2 + (-1 - -42) is divided by (-85)\/l + 3\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 10*a + 15. Let q(n) = n**2 + 7*n - 10. Calculate 5*f(z) + 7*q(z).\nAnswer: 2*z**2 - z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:23 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4b5467 - -27?\nAnswer: 4b548e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1260) - -6*(-2*sqrt(1260) + sqrt(1260)) - (sqrt(1260) - sqrt(1260)*-3*-6))\/((sqrt(80)\/sqrt(4)*1)\/(3*sqrt(100) + sqrt(100))))**2.\nAnswer: 14515200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (9\/60)\/(54\/(-45))\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/18)\/(8\/6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*w - 2*w. Let o = w + -1. Let d(k) = k**3 - 6*k**2 - 3*k - 7. List the prime factors of d(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 315 = -175. Calculate the remainder when 23 is divided by t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -424 + 418. Let f be (r\/16*102)\/(3\/12). What is f rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2467 in 2, 1\/6, -9\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -102 by 5450.\nAnswer: -51\/2725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 13, r: 5}. What is prob of sequence rir?\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 498 + -476. What is the first derivative of -16*r + 4*r + o - 93 - 207 wrt r?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/27*(-1287)\/(-88)\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-1)\/1)*2. Let m be 115\/11 - 18\/(-33). Let n(v) = -v**3 + 10*v**2 + 10*v + 15. Let c be n(m). Solve -4 = -u*f + c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*c - 39*c - 78 = -3*w, 4 = -w for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - l - 3*l + (1 - 2 + 0)*(936*l + 185*l + 1234*l) to the form x + s*l and give s.\nAnswer: -2357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.06, -54, -4, 2\/13, -2, 8, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 0.4 (c) 0.2 (d) -375\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)*m\/(((m*m**(1\/2))\/m)\/m))\/(m**(-46)\/m**38) assuming m is positive.\nAnswer: m**(1191\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4604 is divided by 1437?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103596311?\nAnswer: 7, 13, 577, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 13 - 19)*(184 + 12*z - 184).\nAnswer: -384*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 6:06 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, 1\/3, -224?\nAnswer: -224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -9 + (-6 - 11) + 19 + 7 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 589100891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qh when two letters picked without replacement from {q: 2, m: 1, t: 1, h: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.5, -12, -31, -16 in decreasing order.\nAnswer: 2\/5, -0.5, -12, -16, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 2*sqrt(1900))**2 - sqrt(1900))*-3 + 4 + (sqrt(1900) + 0)*-4.\nAnswer: -22799 - 130*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8539 >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (3 + 3 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3010803?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/255 + 208\/(-34). Let q be -4 + -1*6*9\/s. Solve -x = q*n - 20, -4*x - 2*n - 12 + 2 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/280 + c**6\/30 + c**5\/8 + c**4\/4 - c**3\/2 + 3*c**2. Let x(v) be the first derivative of s(v). Factor x(m).\nAnswer: 3*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 3*f**2 + 11 + f - f**2 - 3*f**2 + 8. Give h(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -16*t**2. Let x(f) be the second derivative of f**6\/36 - f**4\/3 - 17*f**2\/2 + 63*f. Let n(r) be the third derivative of x(r). What is l(n(i))?\nAnswer: -6400*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 10, 675 in increasing order.\nAnswer: 1\/4, 10, 675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*q + 26*q + 1430. Let h = -98 - q. What is the remainder when 445 is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/45*3*-6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 k, and 1 g when four letters picked without replacement from {q: 1, i: 3, p: 5, k: 4, g: 3}.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 1) + 8\/8. Let s(z) = z - 3. Give s(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -63.3. Let o = w - 42.3. Let t = o - -46.999888. Round t to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*2\/(-16)*2\/(-3))\/((-429)\/11583).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**3 + 248*v**2 + 68*v wrt v.\nAnswer: 12*v + 496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 13*o**2 + 7*o + 9. Let n(g) = -3*g**3 - 38*g**2 - 20*g - 26. Let c(v) = 4*n(v) + 11*w(v). Is 11 a factor of c(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 - n. Calculate the least common multiple of ((-320)\/(-50))\/(8\/240) and w(4).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4.44? (a) -742 (b) 1\/2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -14, 3\/2, 11441?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 + -12.4?\nAnswer: 161.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 4*z - 96, -2*x + 2*z - 94 = -x. Calculate the remainder when 52 is divided by 1311\/x*4\/(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7190627, 14381264, 21571903, 28762544?\n\"Answer: r**2 + 7190634*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411*a**3*r**3 - 101*a**3*r**2 + 3*a*r**2 wrt r.\nAnswer: -2466*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571785 divided by -59.\nAnswer: 571785\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 101. Suppose 4*h = 5*c - c + v, -3*c - 60 = -4*h. Calculate the smallest common multiple of 20 and h.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 63*o + 558. Let b be t(-7). What is the greatest common divisor of 657 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.17 and 1338?\nAnswer: 227.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k - 3. Let y be (22\/(-14) - (-40)\/70)*4. Let n(q) = 6*q + 3. Let h be (-7 - -8)*(-15)\/3. Calculate h*v(z) + y*n(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 74*b**3*w**2*x**2 + 2*b**3*x**3 - b**2*w**2*x**3 + 135*b**2*w*x + 2*w*x**3 wrt w.\nAnswer: 148*b**3*x**2 - 2*b**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 1. Let i(x) = 7*x**2 - 5*x + 4. Let n(u) = -2*u**3 - 105*u**2 + 391*u - 60. Let d be n(-56). What is d*j(w) - i(w)?\nAnswer: -3*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 79, 124?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21, 173, 579, 1365, 2657, 4581, 7263, 10829?\n\"Answer: 21*t**3 + t**2 + 2*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20217 is divided by 68?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*p + p**3 - 57*p + 483 + 34*p.\nAnswer: p**3 + 483","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -17 (b) -2\/5 (c) 0.173 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a day in minutes?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 127143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3893, 5\/7, 9.\nAnswer: -1, 5\/7, 9, 3893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u**5\/6 + 1317260*u**4\/3 + 3688252*u**3\/3 + 2318320*u**2\/3 + 140504*u = 0 for u.\nAnswer: -105378, -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 0*t**2 + 0*t**5 - 1\/36*t**4 + 1\/90*t**6 + 0 + 1\/252*t**7 - 9*t - 1\/36*t**3. Determine y so that a(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2124413425 - 0?\nAnswer: -2124413425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**2. Let g(d) = 7*d. Let h(t) = 13*t. Let x(r) = -3*g(r) - 3*h(r). What is x(z(v))?\nAnswer: 840*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((1\/1)\/(-1)). Let c be 1\/k - 1\/(-2). Solve z + 3*m - 6 = -c, -2*z = -2*m + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/9 + 16526*y**3 - 11443700*y**2\/9 + 25093832*y - 214549520\/9 = 0. Calculate y.\nAnswer: 1, 38, 74290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3042 (base 5) to base 10\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2210)\/(-51) - (-2)\/3. What is the lowest common multiple of (-29)\/(-5) - (2 - w\/20) and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -253*r**3 - 7045*r**2 - 17*r - 83776560 with respect to r.\nAnswer: -759*r**2 - 14090*r - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 4:13 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(9)\/sqrt(27))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.6954948ml?\nAnswer: 0.0006954948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 12 = -2*a, 42*x + 3*a + 18 = 40*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let f(l) = -92*l + 11. Calculate j(f(w)).\nAnswer: -184*w + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from zuzxouxxzooux?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 13*o - 4. Let u(t) = -14*t**2 - 16*t - 23. Let h(c) = 5*c**2 + 6*c + 8. Let a(k) = -17*h(k) - 6*u(k). Determine -13*a(w) - 6*l(w).\nAnswer: w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, n: 1, w: 1, b: 1, u: 3, d: 2}. Give prob of picking 2 y, 1 u, and 1 b.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1284*k**5 + 0 - 972*k**2 + 1 + 183*k**5 + 520*k**2 wrt k.\nAnswer: -66060*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 3*f + 2*f + 3*f)*(-11 + 11 + 4*f**2 + (3*f**2 + 0*f**2 - 2*f**2)*(-3 + 5 - 4))*(23*f**2 - 11*f**2 - 17*f**2).\nAnswer: -20*f**5 - 100*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13139393.\nAnswer: 19, 41, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqss when four letters picked without replacement from {m: 2, s: 3, q: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.95.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 390022?\nAnswer: 2, 191, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*v - 9. Let k(o) be the second derivative of 0*o**2 - o - 3\/20*o**v + 0 + 0*o**4 + 1\/3*o**3. Find the second derivative of k(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 141 - 141 + 3*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2386\/(-258) - ((-40)\/15 + 1). Let l be (22\/(-4))\/((-2193)\/(-2073)). Let a = q - l. What is the common denominator of 127\/12 and a?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/28)\/(54\/(-42)). Sort 2, 0.2, b in decreasing order.\nAnswer: 2, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2\/3 + 16496*t\/3 + 2999656\/3 = 0. Calculate t.\nAnswer: -178, 8426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -14311?\nAnswer: 14302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*s - 1940 = 0, 1 = 4*s + 13. Let p = 791 - h. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y**3 - 80*y**3 - 85*y**3)*(-4 + 4 + 2).\nAnswer: -290*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 69*f**2 + 140*f - 49. Let q be b(-71). Solve -q*g + 98*g = 20 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 6 + 2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 219.\nAnswer: -1\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + 20\/(-15))\/(-59 - -58). What is the nearest to 4 in u, 1\/42, -0.3, -0.02?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 - 87*i**3 + 4*i + 7*i - 3*i + 3*i.\nAnswer: -87*i**3 + 9*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7672*k**2 + 7562*k**2 - 15070*k**2.\nAnswer: 164*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 + 0*o**4 + 0*o**2 + 4*o + 0*o**3 - 1\/40*o**5. Determine p so that a(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 + 52?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -6*i - 16. Let j be (4 - 1)*i\/6. Suppose -3*o + 5*m = -121, -94 = -3*o - j*m - 8. Calculate the greatest common divisor of o and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+-0.063115724\nAnswer: -0.163115724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33036*h - 33063*h - 378 = 0 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -20, -74, -160, -284?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 534331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 121*d - 38. Let y(k) = -124*k + 37. Let b(o) = 5*n(o) + 4*y(o). Let r be b(2). What is the highest common divisor of r and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.47 + -0.9. Let d = -0.03 - t. Sort d, -1\/6, -1\/8.\nAnswer: -1\/6, -1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 272 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35\/99 + 2\/99. What is the closest to k in 0.4, 8, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1804*x + 1737*x - 2069*x - 968*x in the form i*x + c and give i.\nAnswer: -3104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*o - 3*k + 365, 3*o + 3*k = -339. Let t be -2 + o\/(-3) - 2. Calculate the greatest common divisor of 51 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 + 8*b + 2. Calculate the remainder when k(5) is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 1482*x\/7 + 35144\/7.\nAnswer: -2*(x - 23)*(x + 764)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 16 = 3*n. Let x(r) = r**3 - r**2 - 2*r + 7. Let v be x(n). Let m = 68 - v. Calculate the remainder when m is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:22 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 2. Let z(d) = -2*d - 3. Let k(x) = -c(x) + 2*z(x). Let m(n) = -n - 1. Determine 3*k(h) - 24*m(h).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 1. Suppose -3 = 3*q, 5*s + q + 6 + 20 = 0. Let v(o) = -5*o**3 + 3*o - 3. What is s*v(z) - 15*l(z)?\nAnswer: 25*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/10)\/(33\/55). Let x be -3*1\/(42\/(-8)). What is the second biggest value in -5, s, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13309*h**2 + 2985*h**2 + 4 - 4 + 18615*h**2.\nAnswer: 34909*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 20146.\nAnswer: 201460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 546 + -1320?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333)\/74)\/(-1 - (-6)\/3).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78485*c**3 + 19655*c - 2?\nAnswer: -470910*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67380 + 98363. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 169841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-1)*(-9)\/(-6). Let b = -7193 + 35962\/5. Put -0.05, l, b in descending order.\nAnswer: l, -0.05, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111.3 + -28.3. Let x = 82.999999484 - j. Round x to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 13 = -4*t + 5, 45*p + 0*p - 190 = 5*t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 148131 or 148129?\nAnswer: 148129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*i - 7*i**3 + 28*i**3 - 11*i**3 + (-3*i**2 + 3*i**2 - 2*i**3)*(1 + 4 - 4))*(0 - 1 + 4) to the form z + g*i**2 + x*i**3 + k*i and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-116)\/(-3)*(-120)\/(-160). Solve 0 = f*n + 71 - 13 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -16. Let r = -6 - f. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i. Let c(r) = 2*r**2 - 6*r + 1. What is -c(y) - 5*d(y)?\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -221, -442, -663, -884, -1105?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 - 11 = 0. Suppose 0*n + 1 = n. Let k = u - n. Solve -2*a - 1 = k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.04 - 0.14. Is -16 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -13. Let d be 1\/(-6) - 3035\/a. Let q = d - -338. What is q rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 + 55755*n**4 + 1335201*n**3 - 22107411*n**2 - 23386860*n = 0. What is n?\nAnswer: -18561, -35, -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.0869767 months?\nAnswer: 0.000173914725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2440 + -2403 + 0 + -43?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 + 13*z**2 + 5*z - 27. Let c(o) = o**3 + 21*o**2 + 52*o - 28. Let b be c(-18). Is 35 a factor of i(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36368, 36394, 36422, 36452, 36484, 36518, 36554?\n\"Answer: b**2 + 23*b + 36344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13.5 + -105.5. Let o = d + 93. Which is the closest to o? (a) -3\/4 (b) -1\/3 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00136487 rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1\/3, 5, 0.2337, -3?\nAnswer: 0.2337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + 0*h)*(h - 3*h + 4*h) - h**2 + 6 - 2*h - 3*h**2 - 8.\nAnswer: -2*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 9*p**2 + 20*p - 5. Let s be x(6). Is -34 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/7)*c\/(c**2\/c))**(-3\/4)*((c\/(c\/c**(-3)))\/(c*c\/(c**(-4)\/c*c)))\/(c*c**(-1\/3))**(-35) assuming c is positive.\nAnswer: c**(575\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*u**3 - 132 - 1579*u**2 - 1547*u**2 + 3126*u**2 + 129.\nAnswer: -93*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 3629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 282762, 282761, 282760, 282759, 282758, 282757?\n\"Answer: -m + 282763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 12*t - 22. Let h be f(10). Let v = 30 - 43. Which is greater: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r - 9*r + 1474 = -57*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165 = 5*j - 0*j. Let p = 45 - j. Let x(t) = 7*t + 12. Let c be x(p). What is the greatest common factor of c and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 12*o - 316. Determine v(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from gxjkjjxjkb.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {a: 1, e: 1, o: 1, g: 1, k: 2, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**2 - 4*s - 93. Let i(c) be the first derivative of -5*c**3\/3 + 5*c**2\/2 + 92*c + 2. Let k(q) = -3*i(q) - 4*j(q). Is 29 a factor of k(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 840 and 24690.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccfc when four letters picked without replacement from cqqccfccffq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.32822 and 79.\nAnswer: 80.32822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g + 2. Suppose r = -3*u - 8 + 32, 0 = -3*r. Suppose -a = 2*p + u, p - 4*a = -5 - 8. Let k be n(p). Sort k, -1, 5 in ascending order.\nAnswer: k, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 467205147.\nAnswer: 3, 677, 76679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 812 and 130964.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 = 4*x - 147. Suppose 34*k - 33*k - 4*j - 120 = 0, 4*k - 3*j = 454. Let t = k + x. Calculate the least common multiple of t and 22.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 24*h**2 + 18*h + 77. Calculate w(23).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 30\/4*(-83 + 1)*98\/(-294). Which is the nearest to 0? (a) 0.5 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 11:43 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobbbbbbbb. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/15 - 751262*p\/15 - 34428776\/3.\nAnswer: 2*(p - 375860)*(p + 229)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**3 + 2*a**2 + a. Suppose z + 3*u + 36 = 4*z, 0 = z + 2*u - 3. Suppose -b + 1 = -3*k, -4*b + k - z = 2*k. Give v(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17126448 a multiple of 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from {p: 4, q: 2, e: 7, f: 1}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 406 = 29*p, -3*p - 6*w = 12128 - 12086 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/7))**(-29)\/(p**(-2)\/p)**(-18) assuming p is positive.\nAnswer: p**(-320\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/6 - -6)*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = -24*c + 726798. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7440692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 134 + 60 = 2*a, -r = -4*a + 68. Let b = r + 98. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 3*w**2 + 2*w**2)*(w - 3*w**2 - w) + 2*w**4 + 4*w**4 - 4*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (3 - 1 - (3 + 1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 8*h**2 - 12*h + 34. Calculate y(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**3 - 3*m**4 - 9*m**3 + 0*m**3 - 2*m**2 + 2*m**4 - 4 to o*m**4 + q*m + w*m**3 + z + r*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1522, -4, 3 in decreasing order.\nAnswer: 3, -4, -1522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/55 - 54\/385. Is 0.12 > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 752, 1512, 2272, 3032, 3792?\nAnswer: 4552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of l**7\/105 - 19*l**6\/60 + 33*l**5\/10 - 27*l**4\/4 - 50*l**2. Factor i(u).\nAnswer: 2*u*(u - 9)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -v - 4*v - 12, 0 = 5*v - 5*u + 10. Let a be ((-12)\/v)\/(((-12)\/5)\/(-4)). Suppose 3*z - a*w = 439, 2*w - 99 = -z + 40. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b*n**2*q + 2*b*n*q + b*n - 5*b*q - n**4 + n**3*q - n**2*q + 2*n wrt n.\nAnswer: 4*b*q - 12*n**2 + 6*n*q - 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -376, -3421, -3\/5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(((-14)\/(-1))\/((-82)\/41))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 28 = 4. Does 9 divide 15\/(w\/12 - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -509, -16, -364 in decreasing order.\nAnswer: -16, -364, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 2. Let x(n) = -5*n - 2. What is the tens digit of x(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1737 + -1736.93. What is the closest to 1\/4 in 1, -0.04, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 446 = 2319*a - 1873*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (47\/14 - (-264)\/231)*658\/63?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9 + 2)*(3*p - 29*p - 2*p).\nAnswer: -532*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a = 9*a + 60. Suppose 0 = 4*v + 5*t + 2, -3*t = -3*v - 0*v + a. Let c = -4.88 + -0.12. Put c, v, 0.3, 0 in descending order.\nAnswer: v, 0.3, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 358005*a + 2148012. Calculate t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3305917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740 = 5*l - l + 4*d, -d = -2*l + 373. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1388 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-24)*(p**(-1\/4))**(1\/5)*((p\/p**0)\/p)**(26\/7)*p**(-7)*p\/(p\/(p\/(p\/(p\/(p**6\/p))))) assuming p is positive.\nAnswer: p**(-701\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 534893723 to the power of 1\/2, to the nearest integer?\nAnswer: 23128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28.127 + -731.523. Round c to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30882 is divided by 3087.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 130? (a) 0.2 (b) 1\/9 (c) 0.4 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -157318*a**2 + a + 14046?\nAnswer: -314636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146\/3*o - 2\/9*o**4 - 866\/9*o**2 + 146\/3*o**3 + 868\/9 = 0. What is o?\nAnswer: -1, 1, 2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**3 - 32*p + 17 + 32*p - 3.\nAnswer: p**3 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6*u = -39, 21 = -3*x + 5*x + 3*u. Solve x*t + 0*t = t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(1\/62))**(-2\/29) assuming w is positive.\nAnswer: w**(-61\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**4\/5 + 92*r**3\/15 - 236*r**2\/5 + 384*r\/5 + 218. Factor w(u).\nAnswer: -4*(u - 16)*(u - 6)*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/3500*-175*216\/(-21).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b + 3. Let m be j(4). Suppose m = 5*v + 3*h, -65 - 27 = -4*v + 4*h. Is v a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260457 - -260457.1552312. Let h = -0.13523094 + c. Let s = -0.02 + h. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16.0841 + -16.1. Let y = k - -0.007. What is y rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - -4)\/(-8) - (-12)\/(-16). Let a be d + ((-3)\/((-3)\/4))\/(-1). Let o(y) = -y**3 - 5*y**2 - 5. What is o(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 9*p + 107. Give f(-11).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4389*r - 789*r - 861*r + 1637*r + 4814*r.\nAnswer: 9190*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-886\nAnswer: -265.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, -2, 0, -10 in ascending order.\nAnswer: -10, -2, 0, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**2 + 503*g + 13768. Give n(-23).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/15 + 2*f\/15 + 4\/15.\nAnswer: -2*(f - 2)*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5002554022 + -21?\nAnswer: 5002554001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14443 (base 8) to base 4.\nAnswer: -1210203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -11*h + 872. List the prime factors of h\/12 - 6 - 163\/(-2).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 + 4*s**2 + 388*s + 2407. Let f be k(-6). Let g = -0.8 + 0.3. What is the closest to -1 in f, g, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + 0 + 2 - (-4 + 22 + -23 + -4)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3002a6 (base 16) in base 11?\nAnswer: -1859a3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*f - 28*f + 20*f - 25*f - 12*f.\nAnswer: -40*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4\/2 + 325272*c**3 + 1951668*c**2 + 3903360*c + 2602248.\nAnswer: -3*(c - 216854)*(c + 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164626421*t**3 + 82313224*t**3 + 82313216*t**3.\nAnswer: 19*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t + 5. Let d = 53 - 49. Suppose -d*l + 26 = -4*b - 2*l, -2*l = 4*b + 14. List the prime factors of x(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*((-1)\/5 + 1). Let f(n) = -n + 5. Let s be f(0). Suppose -d + s*t = r*t - 7, -4*d + 13 = t. Is 3 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 0.66 (c) 4.852\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74*v - 459 + 459 to c*v + a and give c.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 + 64 = -3*j, 5*t = 3*j + 7. Let a = 13 - 8. What is the closest to t in 0, -0.4, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*f = 254*f + 267896 - 2899519. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -957 + 970 - (-1 + 9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.19 and -0.15.\nAnswer: 0.1785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) -4 (c) 0.02 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -215*f**3 - f + 971 with respect to f.\nAnswer: -645*f**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73185.01ml to litres.\nAnswer: 73.18501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 0 - 3 - 9*x + 6*x**2 + 0 + 4*x**2 - x - x**3. Calculate t(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(68))\/sqrt(4) - (sqrt(17) - ((sqrt(17) + 0)**2 + 1)).\nAnswer: -3*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(2) - (sqrt(2) - (2*sqrt(128))**2)) - (((sqrt(242)*-2 - sqrt(242)) + sqrt(242) + sqrt(242))**2 + -1)).\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2239 and -18692?\nAnswer: 20931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 90962 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20079769103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + g = 10, -3*i - 4*g + 20 = -i. Let f be (-243)\/i - 13\/(-65). Let q = -24 - f. Which is the nearest to -1\/2? (a) q (b) 2 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27288078 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79996 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b. Let l = 3 + b. Suppose -54 = l*s - 5*s. Solve -4*m - s + 7 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 123850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 551700 divided by 3678.\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148*g**4 + g**2 - 840021*g wrt g?\nAnswer: -1776*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -248*o**2 - 324*o + 208. Give w(-4).\nAnswer: -2464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*v**2 + 609*n**3*v - 6*n**2*v + 674*v**5 wrt v?\nAnswer: -4*n**3 + 13480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 6*b - 3*w = -6*b + 54, 58*b + 60 = 63*b - 5*w for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - d = 0, -5*p = -10*p - d for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -68, -133, -198?\n\"Answer: -65*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645174, -645175, -645176, -645177?\nAnswer: -645178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2576 = 5*s, 0*s + 5*s - 4*j - 2579 = 0. Suppose 7*v = 2*v + s. List the prime factors of v.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 4 - 3 + u + (-5 + 2 + 2)*(u + 0*u + 2*u) in the form f*u + g and give g.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (17 - (7 + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 936 and 258?\nAnswer: 40248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/17*1\/(-2))\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0476, -103.8, -0.3 in descending order.\nAnswer: -0.0476, -0.3, -103.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -351140 at least -351127?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -34, -65, -110?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 999083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + m**2 - m + 2. Let v be c(2). Calculate the remainder when 27 is divided by v\/2*(-3)\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1236, 0, 3, 5 in decreasing order.\nAnswer: 5, 3, 0, -4, -1236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.6478 to zero dps.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/294 and 3\/10066?\nAnswer: 211386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 6*k**2 + 3*k - 3. Does 17 divide p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + 26*o - 5. Let z be j(18). What is u in 4 + 0*u**2 - 7*u - 3*u**2 + 5*u**3 - z*u**4 + 2*u + 138*u**4 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-8)\/1456*80\/20.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3526.335 microseconds to hours.\nAnswer: 0.0000009795375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of d**3\/3 - 3*d**2\/2 + 2*d + 15. Let v(f) = f**2 + 1. Suppose -12 = 4*l, 4*w + 3*l + 2*l = -7. Give w*v(i) - x(i).\nAnswer: i**2 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 329?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1078 + 766. Round t to the nearest ten.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138.6 - -139. What is the closest to 2\/3 in 0.1, -0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93369 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -1 (c) -4 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 3) in base 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10 + 149 + -185 + (0 + 8 - -2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 4:18 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3\/2 - 7*x**2\/2 - 4*x = 0 for x.\nAnswer: -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 12 + 32*g**2 - 5 - 38*g**2 + 31.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -33500001232?\nAnswer: 33500001225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 15 = -x, -33 = -2*q - 5*x. Let y = q + -4. Does 10 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 369878922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11210 (base 3) to base 9\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129\/12 + 1\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2547099, -2547065, -2547031, -2546997, -2546963, -2546929?\nAnswer: -2546895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11518633 and 35.\nAnswer: 57593165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 123 - 491\/4. Let s be -6 + -1*112\/(-21). What is the nearest to r in s, -3\/5, 2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - y - 4 = 0, -8*y - 16 = -3*y - y for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.455141l in millilitres?\nAnswer: 3455.141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 13*p - 3. Let x = -22 - -25. Let t be f(x). Is 1\/(-2) - (-1674)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2. Let u(r) be the first derivative of 0*r**3 + 4 + 0*r + 2*r**2 + 1\/6*r**4. Let y(t) be the second derivative of u(t). Determine k(y(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of 2*r**6\/15 - 4*r**4 - 32*r**3\/3 - 129*r + 61. Let b(c) be the first derivative of f(c). Factor b(i).\nAnswer: 4*i*(i - 4)*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 28. Let q(f) = -f + 2. Let x be q(1). Calculate the smallest common multiple of l and -1 - x - (-1 + -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 8*k + 3. Let q be -14 + 12 + 20\/2. Let i be (-20)\/8*q\/10 - 7. Let w be p(i). Solve -2*g = 2*g - w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446348*-0.4.\nAnswer: 178539.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341.96874 + 0.06874. What is f rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279 = 3*y - 288, 0 = 3*l - y - 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of h**6\/72 - 5*h**5\/18 + 20*h**4\/9 - 80*h**3\/9 - 20*h**2. Factor i(f).\nAnswer: 5*(f - 4)**2*(f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1577, -3160, -4745, -6332?\n\"Answer: -t**2 - 1580*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9583331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*k = -159 + 55. What is the closest to 0.3 in k, -2\/23, 3?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 4*d. Let o(l) = 6*l + 3. Let c be o(d). Let -20*u**2 - 12*u**3 + 25*u**3 - 9*u**c = 0. What is u?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 0*w**2 + 0*w + 0 - 2*w**4 + 0*w**3 - 2\/5*w**5 = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 148 = 21*m - 39 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67511260.\nAnswer: 2, 5, 1489, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2 + (-1*sqrt(252) - sqrt(252)))**2 + -1 + ((sqrt(224) + sqrt(56))*-2)\/(sqrt(80)\/(sqrt(30)\/sqrt(3))).\nAnswer: -174*sqrt(7) + 1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 71 = -39. Let c(i) = 5*i**2 - 10*i + 27. Let a(v) = 26*v**2 - 48*v + 136. Let f(y) = j*c(y) + 3*a(y). Find b, given that f(b) = 0.\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 99 + 14. Let z be c - (2 - (-1 + 4)). Suppose 5*f - z - 341 = 0. What are the prime factors of f?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*g - 14*g - 8696. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 1\/67, -976?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -101723 (base 8) in base 7?\nAnswer: -200250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2 - 2 = 0. Calculate the common denominator of -45\/2 and 212\/32 - 0 - r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*(-1)\/((-2)\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*x**2 - 17*x**2 + 36*x**2 + (x + 0*x - 2*x)*(2*x - 2*x - x) - 609*x**2 + 611*x**2 + 34*x + 32*x.\nAnswer: 62*x**2 + 66*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 7 = -2*z, 5*w - 3*w - 8 = -2*z. Let k be -586*w\/((-4)\/27836). Let r = k + 9777974. Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -223.896 to the nearest integer.\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 88111259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-14) + (-26)\/7. Let d be 47\/7 + v\/(-14). Solve -k - 5*i = 0, k - 3*i + 1 = -d*i for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p, 23529 + 12305 = 2*d - 3*p. Suppose 3*z - 76574 = 3*b + d, 0 = -4*b - 3*z - 126006. What is b rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.9 + 0.86. Let a = q - -0.53. What is a rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/(60\/160)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 4*k - 3. Let o(q) = q**2 - 3*q - 1. Let i be o(4). Determine n(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1709590 divided by -10\nAnswer: 170959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40563.\nAnswer: 3, 4507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, -0.2, 0.2, -3.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 408696.6 millennia?\nAnswer: 4086966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n - 5. Let l(d) = -2*d**3 + 11*d**2 + d - 2. Let o be l(1). Let p(y) = -2. Calculate o*p(x) - 3*b(x).\nAnswer: 3*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 126*q + 123*q + 9 = 0, 5*d - 2*q = 32. Solve u + 5*m = -d, -5*u + 3*m = -4*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, -0.5, 0.09, 306, 0 in decreasing order.\nAnswer: 306, 0.09, 0, -2\/25, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -202*x**3*z**3 - 18*x**3*z + x**2*y*z**2 - 7*x**2 + 2*y**2*z**3 + y**2 wrt z.\nAnswer: -1212*x**3 + 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8536644 months in years?\nAnswer: 0.0711387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1725226131 to the power of 1\/2, to the nearest integer?\nAnswer: 41536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 4 - 9 + 0 + 0 + 3 + (-4 + 4 + 3)*(0 + 0 + 2))*(11 + 3 - 10)*(-5*f + 2*f + 2*f).\nAnswer: -12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 334060 - -27?\nAnswer: 334087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 - 3*g - 93. Let u(v) = 7*v - 4. Give p(r) + 2*u(r).\nAnswer: -2*r**2 + 11*r - 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -169 + 167. What is the second smallest value in 0, 2\/5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33525 divided by -225.\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2576*z**2 + 42*z + 174. List the prime factors of y(-4).\nAnswer: 2, 20611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83155 by -28.\nAnswer: 83155\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1134*b = 1111*b + 230 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5418 and 258?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -c**5*o - c**4*o - 26*c**3*o - c**2*o + 11*c*o + 2*c wrt c?\nAnswer: -60*c**2*o - 24*c*o - 156*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, 2, -1\/21?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 999 - 915. What is the lowest common multiple of u and 9?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 178, 190, 210, 238?\nAnswer: 274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 - 43. Suppose -3 = 3*i - 4*i. Suppose n = -i*u - p + 35, -2*u - 2*n = -20. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134, 110, 86, 62?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-39)\/((-1677)\/(-259))\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Suppose v + 1 = -h. What is the closest to v in 1\/4, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23992 or -23559?\nAnswer: -23992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u + 3*u + 0*u)*(3*u**2 - 2920852*u**3 - 3*u**2 + 2935551*u**3) to q*u**2 + c*u**3 + w*u**4 + v + p*u and give w.\nAnswer: 14699","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.406 times 6.3\nAnswer: 2.5578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/30 + 25*s**4\/24 + 11*s**2 + s. What is the second derivative of q(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - ((-4)\/1 + 2). Let x(c) = -2*c - 3. Let d be x(-3). Let l be (0\/(d + -6))\/n. Solve -3*s - 2*w - 7 = 0, 5*s + 2*w + l = -5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -1201496\nAnswer: 5\/1201496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 152 - 156. Which is smaller: y or 74?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 75 - -45. What is the highest common divisor of s and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 4 + 2 + 0)**2.\nAnswer: 24*sqrt(19) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 6:22 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:59 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (40\/(-28))\/(24125\/(-1351)). Let 4\/5 - i*t**2 + 18\/25*t = 0. Calculate t.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.6 - -1.6. Let z = v + 157. Let y = -148.7 + z. What is the nearest to 2\/5 in y, -2\/3, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.1 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -5*y**6\/6 + y**3\/6 + 225*y**2\/2 + 69*y. What is the first derivative of n(b) wrt b?\nAnswer: -100*b**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, h: 2, a: 2, d: 3}. What is prob of sequence da?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 - 7973 - 23610 + 3*j.\nAnswer: 3*j - 31444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1088\/4*6*(-3)\/(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 2\/3 (c) 1\/6 (d) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.23, 13, 1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-6)\/4))\/(1222\/282)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -217 + 228. Let l = 2 - 2. What is the closest to l in 1, 2\/5, j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21338 - 11354. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*u**2 + 25*u**2 + 10*u**2 - 7*u**6 wrt u.\nAnswer: -840*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8 + 1 = 0, 4*n = -9*h + 799. What is the remainder when 674 is divided by n?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + ((-96)\/51 - -1) - 4185\/459. Which is the closest to -11\/4? (a) z (b) 2\/9 (c) 3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 36*q + 8*q - 4 - 38*q. Let v(t) = -18*t + 13. Determine -7*a(f) - 2*v(f).\nAnswer: -6*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 663251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let m(w) = -n*w - w + 6*w. Let t(k) be the first derivative of 4*k**3\/3 + 3. Determine m(t(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 5*f**4\/12 - 2675*f**3\/3 + 537340*f**2 - 3216020*f\/3 - 1045. Suppose b(t) = 0. Calculate t.\nAnswer: 1, 802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5085816 - -11329398. Let d = j - 6243578.400037. Let i = d + -3.6. What is i rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(54)*-4)\/(-6*sqrt(24)\/sqrt(2) - (sqrt(12) + sqrt(120)\/(sqrt(10)*-2))) + -5.\nAnswer: -5 + 8*sqrt(3)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -36485 bigger than -36540?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**4\/(j*j*j**7*j) assuming j is positive.\nAnswer: j**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 124. Let h be g(0). Let w be h\/(-6)*-3 + 1. What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4591*g**2 - 2*g - 4492*g**2 - 9 + 1 - g**3 + g**4 to t*g + h*g**4 + c*g**2 + w + s*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-94)\/5 + (-4)\/20. Let r = x - -28. Suppose r*h - 44 = 5*h. Is h bigger than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 210.952 + -209. Let v = 160.048 - 160. Let m = f + v. Which is the closest to -1? (a) -2\/9 (b) m (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*o, -5*j + 20 = -0*j - 4*o. Suppose 32003 = 144*x + 32003. Factor -3\/2*g**2 + x - 1\/2*g**3 + j*g.\nAnswer: -g**2*(g + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4025835, -4025834, -4025833, -4025832, -4025831?\nAnswer: -4025830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 + -4. Suppose 3*y + 15 + q = -2*m, 5*m + 5*y + 70 = 0. Round m to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (2 - (2 + 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15546, 62325, 140298, 249471, 389850?\n\"Answer: c**3 + 15591*c**2 - c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1115866574, 1115866575, 1115866576, 1115866577, 1115866578?\n\"Answer: t + 1115866573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 + 18 = -x. Suppose -6*n + 194 = 20. Calculate the remainder when x is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140374 (base 8) to base 13\nAnswer: 19644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-12)\/(-30))\/(12\/(-15)). Let m = -2.01 + 0.01. What is the third smallest value in t, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (819*l + 1 - 424*l - 486*l)*(l**2 + 5*l**2 - 5*l**2) + (l**2 - 2*l**2 + 0*l**2)*(-4*l + 0*l + 3*l).\nAnswer: -90*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - f - 4 + (-4 + 0 + 1)*(-4*f + 4*f + 2*f) - f + 0*f + 2*f + 4)*(45*f + 25 - 25).\nAnswer: -270*f**2 + 180*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/4398 and -44\/188717447.\nAnswer: 1132304682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774 + 3470 = 109*l + 119*l for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2436 and 10508208?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 12*m - 6*m + 4. Let l(y) = -9*y - 7. Suppose 0 = -49*s - 293 - 1. What is s*l(n) - 11*r(n)?\nAnswer: -n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 23 - 58 = 0. Suppose -5*o - 5*x - 135 = 0, -o + 0*o = 5*x + v. Is (-1788)\/(-10) + o\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -1634817.\nAnswer: -9808902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 69, 249, 44 in descending order.\nAnswer: 249, 69, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900)*-2 + -4 - sqrt(1900) - (sqrt(1900) + -1 + sqrt(1900) + -5)) + -6*(-3 + sqrt(684)*2) + 5)**2.\nAnswer: -6100*sqrt(19) + 283421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402428164 divided by -6.\nAnswer: -201214082\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121402632 to the power of 1\/2, to the nearest integer?\nAnswer: 11018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 22*n = 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15.53 - 0.37. Let h = -19.9 - g. What is the closest to 1\/3 in 1\/4, -14, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -601303, -1202612, -1803925, -2405242, -3006563?\nAnswer: -3607888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 192*g**3 - 692*g**2 wrt g?\nAnswer: 1152","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 882807 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 6.7696\nAnswer: 3.3848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(3\/2)\/p)\/p)\/p*p\/p**(2\/11)*p**(3\/10)*p*p*p**(-5\/2))**(-3\/16))**(9\/5) assuming p is positive.\nAnswer: p**(2619\/8800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -298*y + 300*y + 60. Let o = 53 - 95. Let t = y - o. Calculate the least common multiple of 4 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15062 = -5*y - v - 2*v, 0 = -2*y + 4*v + 6030. List the prime factors of y.\nAnswer: 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -303635 + 2?\nAnswer: -303633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3410 and 11160.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 253, 514, 777, 1042, 1309?\n\"Answer: h**2 + 258*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-6)\/(-21))\/(35*(-7896)\/(-20580))?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbvyv. What is prob of sequence ybv?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207637 = -696*x - 1202*x - 25045 + 54270 for x.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 4:49 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 977.5708024 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - 29*d + 191. What is a(-30)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.157 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m - 4. Let c be z(7). Suppose -6*y + c = -y. Differentiate -2*i**y - 2*i**2 + i**2 - 1 wrt i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1*8 - (60 - 67).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.174 - 0.274. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 5, c: 1, f: 4, m: 1}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-18247)\/(-142) + 1\/(-2). Calculate the greatest common factor of 96 and c.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1528*z - 3064*z - z**4 + 2*z**4 - 249*z**2 - 1 + 1533*z to i*z + n + u*z**3 + g*z**4 + q*z**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from qppnr.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**5\/20 + 19*u**4\/12 + 5*u**3\/2 - 16*u**2 - u. Let i be d(-18). Is 16 a factor of ((-144)\/10)\/3*(2 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-630)\/(-56))\/15*((-1440)\/(-340))\/(-18).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (280\/(-46) - (-104)\/1196) + 88 and 41?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6094.39673 rounded to the nearest 100?\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*(6\/(-9))\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.000014 - 10. What is q rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 5:01 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y = 25*y + 75. Let k = y - -20. Solve i - 12 = k*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 2086 = 15*t. What is the greatest common divisor of 36 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 7. Let j be m(-9). Find the third derivative of -6*v**2 - v**5 - 9*v**6 + v**5 + 29*v**j wrt v.\nAnswer: -1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -8. Let h(k) = -7. Let u(v) = -6*g(v) + 7*h(v). Let z(l) = -3. Let t(i) = -4*u(i) + z(i). Let p(w) = -2*w**2 + w + 3. Determine p(x) - 2*t(x).\nAnswer: -2*x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q - 126 = 0. Let a = 173\/4 - q. Let y = 37\/70 + 1\/14. What is the second biggest value in a, y, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21744 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 17. Let u be a(18). Solve -j + u = 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 632915411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-23)*s**(-14))**(-21\/2) assuming s is positive.\nAnswer: s**(777\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/6 + 35\/6. Let h = -13 + r. Let j(q) be the second derivative of q**4\/12 + 4*q**3\/3 + q**2 + 3*q + 318. Determine j(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21186646870131 and 0.13.\nAnswer: 21186646870131.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 40 = -0*k. Let b = k + -4. Suppose 5*w - 16 = w. Solve 5*m = -4*q - b, -w*m - 4*q - 2 = 2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/27)*n*n)\/((n**(-8)\/n)\/n) assuming n is positive.\nAnswer: n**(322\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-3 + 8 - 4). Solve r = 3*o + 3*q + 15, -2*o + 3*q + 5 = -10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + (sqrt(24)\/(sqrt(648) + 2*sqrt(648) + sqrt(8)) - (sqrt(36)\/((sqrt(120)*1)\/sqrt(10)))**2)).\nAnswer: -6 + 3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/25, 5, -0.067?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*r - 3*k, 5*r = -4*k + 3. Find the second derivative of -27 + 45*y**r + 2*y - 3 + 17*y**3 + 8 wrt y.\nAnswer: 372*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - c + c**2)*(0 + 0 + c + (-3*c + 4*c + 0*c)*(-5 - 1 + 4) + 2*c - c - 2*c - 2*c + 0*c + c + 2*c - c - 3*c)*(0*c + 1 - 5*c + 3*c).\nAnswer: 10*c**4 - 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2316 (base 11) in base 5?\nAnswer: -44132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -695 - -697. Solve -5 + 13 = 3*j + i*y, 1 = y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 28. Let q(v) = v**3 + 13*v**2 + 3. Let m be q(-13). Suppose -18 = -5*y - 4*x, -4*y + m*x = -25 - 8. What is the lowest common multiple of y and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(5)) - (0 + sqrt(5) + 3))*3 - (sqrt(605) + 1 + sqrt(605) - sqrt(55)\/sqrt(275)).\nAnswer: -169*sqrt(5)\/5 - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.319067 rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of 7*d**6\/120 + d**4\/24 - 25*d**3\/6 - 64*d**2. Find the first derivative of x(j) wrt j.\nAnswer: 21*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y + 7*y + 5*y)*(26 + 9*y**2 - 26) - 6*y**3 + 4*y**3 + 4*y**3.\nAnswer: 74*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2400 + 55198\/23. Which is the second smallest value? (a) o (b) -0.4 (c) 1 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 4*t**2 - 3*t + 2. Let c(x) = 13*x**2 - 9*x + 6. Let r(f) = -2*c(f) + 7*v(f). Let d be (3\/1 + -2)*4. Is r(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 126, -3\/5, 3\/55, -0.4.\nAnswer: -3\/5, -0.4, 3\/55, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**7\/168 - 23*b**6\/4 - 4761*b**5\/2 - 547515*b**4 - 75557070*b**3 - 6256125396*b**2 - b + 209. Factor z(x).\nAnswer: -(x + 138)**5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 + 31*i**3 + 2*i**3.\nAnswer: 27*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(425))*5 + -5*(-1 + sqrt(68) + sqrt(833)*-1)**2.\nAnswer: -2135 - 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1442882143 and 454.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.6095 + 711544.4?\nAnswer: 711541.7905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w**3\/2 + w**2 + 4*w = 0. What is w?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.59, -513, 144 in increasing order.\nAnswer: -513, 2.59, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 96, 97, 92, 75, 40, -19, -108, -233?\n\"Answer: -p**3 + 3*p**2 - p + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.1 (c) -1\/2 (d) -5 (e) 830 (f) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/2*(4 + -3). Suppose 50 - 8 = 2*k. Suppose -4*n + t = -k. What are the prime factors of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 14*l + 49. Find the common denominator of -113\/10 and (l\/60)\/((-4)\/96*11).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -42960*d**2 - 65*d + 2765. Let a(w) = 2685*w**2 + 4*w - 173. Let m(g) = -65*a(g) - 4*n(g). Find the first derivative of m(o) wrt o.\nAnswer: -5370*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + ((sqrt(288)*-2 + sqrt(288))*-4)**2 + sqrt(288).\nAnswer: 24*sqrt(2) + 4608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2577393131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 5*p + 7 + p.\nAnswer: 2*p + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - -13 - (-7 - -10). Solve -5*x + 30 = -w + u, 3*x = 2*w + 15 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 39\/(-9) + (-5)\/(-15). Let o be (a + (-36)\/(-8))*6. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -5 (c) -0.4 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -8976\/232363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven halves of a hour?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + -3 + 7 - (-13 - -5). Let f(r) = -r**2 + 3*r + 21. Calculate f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 - p - 1. Let v(g) = -3*g**3 + 4*g**2 + 7*g. Let k(w) = -4*q(w) - v(w). Let j be k(-3). Is j\/(-2) + 122\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3344141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(50)*-1 - sqrt(50))\/sqrt(10) - (sqrt(500) + 1 + sqrt(500) + 2).\nAnswer: -22*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 63?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -2704310 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 32 - 7237*m**3 - 128 + 56.\nAnswer: -7237*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 8:23 PM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**4 - 6*o**3 - 2*o**2 + 3*o - 5. Let z(a) = 5*a**3 + 2*a**2 - a + 6. Let q(l) = 4*r(l) + 3*z(l). Find j, given that q(j) = 0.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (16\/(-14))\/(54\/(-189)). Solve -2*s - 2*s = 5*o - 4, -3 = -3*s + g*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -197?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 20*d**2 - 22*d + 5. What is u(21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -58*j**4 - 2*j**3*u**2 + 5*j**2*u + 3*j - 24*u**2 - u wrt j.\nAnswer: -696*j**2 - 12*j*u**2 + 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, v: 9, y: 1, b: 3, n: 1, l: 2}. Give prob of picking 1 l and 1 j.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/9 (b) 7\/61 (c) -3 (d) -5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kzeejjeeejez. What is prob of picking 4 e?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -16*l**3 - 120*l**2 + 84*l + 160. Determine j(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150300 divided by 8.\nAnswer: 37575\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 13*g**2 - 1. Let t be r(-1). Let s = 664 - 659. Is t < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -17*j**3 + 2*j**2 + 2*j + 1. Let k be n(-1). Let t = 36 - 12. Suppose -2*u = -0*u - 4*i - t, 4*u = -3*i + 81. Is u at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96, -277, -556, -933, -1408?\n\"Answer: -49*m**2 - 34*m - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 498 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 205251, 410505, 615759?\n\"Answer: 205254*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - -12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zatrarrbbtap. Give prob of sequence rbz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -8*d + 12. Suppose 2*b = -d*f + 1970, 3*b = -f + 44 + 2891. Let n = 2323 - b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3324 is divided by 95?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1558\/91 + 37\/91. Let x = p - -17. Are x and -0.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -0.07 (c) 0.01 (d) -107 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*y + 63, 2*d + 11*y - 9*y = 26. Solve 3*h = 5*f - 19 + 3, -4*h + d = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 709989 and 126?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2516.1 - -2414406.8914.\nAnswer: 2411890.7914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c3a2b + -4?\nAnswer: c3a27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1237624?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*f - 133 + 489, 5*f + 2*k - 600 = 0. Let q(r) = -r**3 + 6*r**2 + 5*r + 1. What is the remainder when f is divided by q(6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**6\/780 - l**5\/195 + l**4\/156 + l**2 + 2*l. Let f(p) be the first derivative of u(p). Factor f(q).\nAnswer: 2*q*(q - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 19. Let n = 418 + -426. Let p be n\/(3 - 4) + 6\/(-3). Determine t(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csmmmmbgmmiism. What is prob of picking 2 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20854 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 272140753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**3 + 22*s**2 + 29*s + 92. Give r(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 19. Suppose 5*t + 4*d = 43, 0 = 7*t - x*t + 3*d - 34. Let b = 7 + t. Solve 0 = 4*n + 3*f + 4 + 9, 5*n + 3*f = -b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 29*u**2 - 2999*u - 89074. What is m(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*i - 785 = -798 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1928, 15451, 52142, 123575, 241324, 416963, 662066?\n\"Answer: 1929*l**3 + 10*l**2 - 10*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -19*v**6\/30 - 37*v**5\/10 + 59*v**4\/3 - 4*v**3 - 1536*v - 2. Let j(k) = 0. What is k?\nAnswer: -6, 0, 2\/19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1 (c) 2 (d) 439\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*v + 2, -2*v = 2*v + 20. Let u = 43 - 45. Which is the nearest to m? (a) -3 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**3 - 90*b**2 - 92*b = 0?\nAnswer: -1, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -13737, -27466, -41195?\n\"Answer: -13729*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8089620 is divided by 373.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 114909 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.5, 5, -9, 0.3, -99.2 in increasing order.\nAnswer: -99.2, -9, -0.5, 0.3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36400 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -210416185\nAnswer: -4\/210416185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (3 - 3)) + (2 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 21206.8756*3\nAnswer: 63620.6268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*c + 25 = 0, 6*w = w + 3*c + 40. Let m be (-24)\/(-10) + 4\/(-10). Suppose 3 - 8 = -5*a, -m*f = -5*a + 5. Solve f = r - w*r + 12 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204 (base 12) to base 11\nAnswer: -1577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 + 208 + (2 - 7 - 7)*1\/(-2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-6 - -3 - 0). Suppose k = -p + 5, 2*k + 26 = -f*p + 2*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(21*(-13)\/364)*-11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 k when two letters picked without replacement from {h: 1, d: 1, n: 1, v: 2, k: 3, u: 4}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -158.8 to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h**2 + 3*h. Let s = -39 - -37. Let u be c(s). Suppose u*a - 6341 - 16569 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -102002?\nAnswer: 101332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/7 - 556*z\/7 - 554\/7 = 0. What is z?\nAnswer: -277, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 15 = 2*u - i, -4*u - 12 = -4*i. Is 9*u\/6 - -15 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvh. What is prob of sequence bv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3011 and 7233.\nAnswer: 10244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -1621472?\nAnswer: 1621472.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -1 + 1 + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) 3\/236 (b) 2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 4*t + 4 = 0, -4*g + 0*t = 3*t + 1. Let d be (-3)\/9*(-3)\/(-2). Which is the closest to d? (a) 1\/2 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -17*x**2 + 2276*x + 240. Give r(134).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n + 38 - 8 - 17 + 4*n**2 - 11. Let z be d(-2). Solve 0 = 5*q - 0 + z for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -501*o**2 - 549*o + 17. Find the first derivative of l(v) wrt v.\nAnswer: -1002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298 + 113*z - 130 + 149 - 114*z - 394 + 2*z**2 to s*z**2 + k*z + m and give m.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u\/(u**(5\/2)\/u)*(u**(-4)*u)\/u*u**(-5\/4)*u)\/((u\/(u\/u**1))\/(u**4\/u)*(u\/u**(3\/4))\/(((u\/((u\/u**(5\/6)*u)\/u)*u)\/u)\/u*u)) assuming u is positive.\nAnswer: u**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -553661, -1106711, -1659761?\n\"Answer: -553050*d - 611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 2)*((0 + 0 + 1)*(33 - 33 - 30*v) + (-2*v - 5*v + 5*v)*(0 - 1 - 1)).\nAnswer: 104*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 1\/5, 0.1, -1\/2, 2\/25, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 918*o**5 + o - 145 wrt o.\nAnswer: 18360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0506*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 52749?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-495) - (-10)\/55. Is -1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 9*l**2 + 9*l - 4. What is m(9)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwfuhhh. Give prob of sequence ufhh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (120\/16128*-16)\/((-10)\/(-9))\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 41*n + 40 - 304*n to the form o*n + k and give o.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 33, 57, 85?\n\"Answer: 2*k**2 + 14*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9 - -3 - 0)*-1. Suppose 8*x = a*x. Let n = 5 + -7. Is x not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 7*j**2 + 7*j - 8. Let i be l(5). Let d = -13 - i. What is the remainder when 29 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 48, 92, 152, 234, 344?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, l: 1}. Give prob of sequence zy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4744433.\nAnswer: 19, 71, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -1248, -5 in ascending order.\nAnswer: -1248, -5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 3:46 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 104*n + 2*n**2 - 11 - n - 29*n + 53 - 30*n.\nAnswer: 2*(n + 1)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2 - 4*a - 5. What is o(-2)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**2 - n**2 - 32*n**2)*(-2 - 4*n + 11*n - 10*n) + (-2 + 2 + 2*n)*(-5*n**2 + 3*n**2 + 3*n**2).\nAnswer: 89*n**3 + 58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1160191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 3114.\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) -0.5 (c) 0.2 (d) -3\/4 (e) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 10 + (3 - 2) + -5 + -28?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -0.5, -1, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**0)\/p**(-14)*(p**(-3))**(2\/77) assuming p is positive.\nAnswer: p**(1149\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38091827 is divided by 491?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -399 + 10769\/27. Suppose 31*c - 30*c = -3. Let h be (c - (-51)\/18) + 10\/60. Which is greater: h or d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -37, -279, -955, -2287, -4497, -7807, -12439, -18615?\n\"Answer: -37*f**3 + 5*f**2 + 2*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eieieeeeeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -84 + 95. Let k(h) = 55*h + 15. Let a(t) = -28*t - 7. Let j(v) = -9*a(v) - 4*k(v). What is the units digit of j(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2301*d + 2227*d = -1924 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121*l**3 - l**2*s**2 - 2*l*s**2 - 115*l*s - 2*l wrt l?\nAnswer: 726*l - 2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/6 - a**3\/3 + 10*a**2. Let i be l(-1). Solve i*x = -2*x - 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.025 and -89148031.\nAnswer: -89148030.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3597066 divided by 814.\nAnswer: -4419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 953 - 950. Put 1\/5, 3\/7, 6, r, -5 in ascending order.\nAnswer: -5, 1\/5, 3\/7, r, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1760)\/(-33) + (-2)\/(-3). Let b = y - 47. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1067557, -2135673, -3203787, -4271899?\nAnswer: -5340009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4711963048061 less than -0.01?\nAnswer: 4711963048060.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 5705*f**2 + f + 6. What are the prime factors of p(-1)?\nAnswer: 2, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 312?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2227, 4474, 6735, 9016, 11323?\nAnswer: 13662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l - 14. Let u be a(8). Let f be u\/(-55) - 24\/(-11). Solve -d - 4*b = 13, 0 = -5*d - 0*b - f*b + 7 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/39590487 and 5\/6.\nAnswer: 79180974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3428 (base 9) to base 12\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxb when three letters picked without replacement from zbzxbxqzzzxb.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/30 + (-3)\/5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0 - 3*w**2 + 0*w - 7\/6*w**3 + 1\/24*w**4. Give p(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.094, -24 in decreasing order.\nAnswer: 3, -0.094, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/6)*a\/((a**(1\/5)*a)\/a)*(a\/a**(-5))\/a**(-1) assuming a is positive.\nAnswer: a**(259\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, 247\/7, -5, -0.3 in descending order.\nAnswer: 247\/7, -0.3, -7\/6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.2 + -0.2. Let c = 158254 - 158259. What is the third smallest value in 0.2, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7322*d**4 - 7312*d**4 - 2*d + 21977*d**4 + 18*d**3 - 7306*d**4 to f + j*d**3 + t*d + w*d**2 + y*d**4 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 786147?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -6, -0.4, -0.1, 5, 4\/5 in descending order.\nAnswer: 5, 4\/5, 0.1, -0.1, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*h - 267, -5*h + 294 + 42 = g. Suppose -l + 51 = -4*a + 20, 3*a = -4*l + h. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 14 + 19 = 0. Suppose j*x - m - 7 = 0, 4*x + 3 = x + 3*m. Let n be 15 - (0 - 1\/x*-2). What is the greatest common factor of 28 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 465 and 237?\nAnswer: 36735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 2*b**4\/3 - b - 34. Let a(g) = -2*g**2. Determine t(a(v)).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/284852 and 65\/128.\nAnswer: 9115264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1127 + 7893\/7. Which is the third smallest value? (a) d (b) -0.5 (c) 0.097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 6)*6\/10. Let h(f) = -f**2 + 16*f - 7. Let n be h(14). Let v = 24 - n. Solve 0 = -v*i + 15, -u - r*i + 8 = -i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148388.0516 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kveyvykvyvykyvkvk. What is prob of sequence vek?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10, -41, -72, -103, -134?\n\"Answer: -31*l + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5\/2, 28, -4, -5\/2, 0.2?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (272 - 288) + -1 + -3.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (10 - (4 - 3)) + -2. Solve 4 = -4*n - 3*j, 2*n + j - 3 = -z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gpppplldpffpffh. Give prob of sequence hl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/105*c**7 - 4\/15*c**5 - 1\/12*c**6 + 0*c**3 + 0*c - 1\/3*c**4 - 8*c**2 + 0. Solve s(x) = 0 for x.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (0 + -49)\/(13\/(-169)).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 32?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 0.3, -1\/4, -4, -150, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x - 5. Let h(v) = -v. Let g be h(-4). Let d be a(g). What is the second derivative of 2*y**5 + 0*y - 4*y + d*y wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -173.5 + 169.238. Round n to 1 dp.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -4*m + x + 8385, -2*m - 3*x + 5590 = 0. List the prime factors of m.\nAnswer: 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4*2\/(-2) - -32. Calculate the greatest common divisor of 27 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000084475 to 7 dps.\nAnswer: 0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/4*-1*1. Put 1, w, 2 in ascending order.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -262 - -32543?\nAnswer: 32251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -z**4\/4 - z**2. Let f = 13 + -21. Let t(w) = -w - 9. Let b be t(f). What is j(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {j: 3, d: 1, y: 1, k: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 36*t - 340. Calculate m(-6).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.169, -0.3, -0.12 in ascending order.\nAnswer: -0.3, -0.12, 0.169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, y: 5, r: 1, v: 1, m: 1}. Give prob of sequence rqm.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 7*l + 9. What is f(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4 - 5. Let p(o) = -3*o + t + 2*o - 3. Let g(c) be the first derivative of -c**3\/3 - 1. Determine g(p(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42 - -11?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -308130, -616269, -924406, -1232541?\n\"Answer: h**2 - 308142*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2409 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 9:34 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137 - (-292 + 152)) + (53 - (2 - 1)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 81*a - 239. What is t(6)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 7*l - 148. Let b(r) = 3*r**2 - 45*r + 16. Let v be b(15). Let c be x(v). Let o(g) = 2*g**3 + 7*g**2 + 5*g. Let u be o(-4). Is u smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**5\/60 - 5*c**4\/24 + 23*c**3\/3 + 32*c**2. Let t be d(-8). Let k = 30 - t. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4360 and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2*k. Let j(d) = 40*d**3 - 2*d**2 + 4*d. Give 2*i(q) + j(q).\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 44698, 82002, 119306, 156610, 193914, 231218?\n\"Answer: 37304*j + 7394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4787\/22 + -9545\/22. Let f = q - -217. Factor -16\/11 - 2\/11*o**3 + f*o + 4\/11*o**2.\nAnswer: -2*(o - 2)**2*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - 3*o**4 - 4*o**4 + ((-2*o + 4*o - o)*(4*o**2 + 3*o**2 - 6*o**2) - 2*o**3 + 1 - 1 - 6*o**3 + 2*o**3 + 3*o**3)*(9*o - 3*o - o).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1564 and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n**3 - 7*n**2 + 19*n - 9. Let q be d(5). Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11355*n + 9946*n - 42270 = 0 for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((4 - 12 - -4) + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 17*h - 13. Let w be d(-16). Suppose -l = -5*l + 16. Let u be l*(-4)\/w*-12. Calculate the highest common divisor of u and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y - 2. Let w(z) = z - 2. Let p be w(-5). Let j = p - -11. What is the tens digit of u(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 255945413683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 419.2775 - -3.7225. Sort n, -2, 0 in decreasing order.\nAnswer: n, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 - 28 + 47)*(-5*x + 68*x + 23*x)*(0 - 1 + 0) to j*x + q and give j.\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1174477.8 and 1.3728?\nAnswer: 1174479.1728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121021 + -110201021?\nAnswer: -102010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -43. What is the remainder when 41 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12027678?\nAnswer: 2, 3, 13, 41, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(10\/(-50))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 326.\nAnswer: -39\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + 0 + 0)*(-3*v - 2*v**2 + 3*v) + 0*v**5 + 4*v**5 - 5*v**5 + v**5 + 0*v**2 + 0*v**2 - 36*v**5 - 786489*v**3 + 786489*v**3 + 27.\nAnswer: -32*v**5 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 h when two letters picked without replacement from hhmhvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-16))\/((-5)\/(-40))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, k: 2, y: 5}. What is prob of sequence dkdk?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 3*v**3 + 3*v**3)*(291*v - 1 + 2*v**2 - 49*v + 328*v).\nAnswer: -4*v**5 - 1140*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/1504864 and -79\/6696.\nAnswer: 40631328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -0.02 (c) 3 (d) 0.09 (e) -279\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 22*z - 2. Let l be m(11). What is the remainder when ((-3052)\/(-56))\/(l\/8*-2) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 74 = -21*y - 48*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6\/5 (b) -0.03 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 243923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38185\/183288)\/(6\/(-20)*10\/(-4)).\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 - 118. Let u(y) = y**2. Determine p(u(g)).\nAnswer: 5*g**4 - 118","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n**6 + n**6 + 2*n**6 + 123*n**2 - 9*n**6 + 27*n**3 wrt n.\nAnswer: -360*n**3 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1, 5, -2, 4758 in increasing order.\nAnswer: -2, -1, -1\/4, 5, 4758","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 - 11*g**2 - 4*g - 5. Let p be q(5). Suppose 75 = 3*v + 2*v. What is the highest common factor of p and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 35 - 7*s + 20 - 5 + 9. List the prime factors of c(-18).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 13*l - 19*l)*(-2*l**2 - 2*l**2 + 7*l**2 + (-1 - 2*l + 1)*(-6*l - 4*l - 7*l)).\nAnswer: -407*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-54)\/(-4))\/(3\/(-6)). List the prime factors of (-174)\/(-4)*(-18)\/w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 48 = -258. List the prime factors of d.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 96*w**2. Let i(o) = 62*o. What is h(i(m))?\nAnswer: 369024*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than 2748\/58727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.263 or 3\/11?\nAnswer: -0.263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10445 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(9\/((-135)\/35))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) -1.4143302 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*h - 8. Let w be ((-10)\/h)\/((-2)\/(-8)). Suppose 38*p - 136 = 30*p. Solve 0 = -w*t - 2 + p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1147290114?\nAnswer: 2, 3, 191215019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28345?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k - 8. Let j(p) = 3*p - 5. Let r(w) = 5*a(w) - 8*j(w). Let m = -26 - -23. Is 6 a factor of r(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 2, 1, 1\/3, -0.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1235*k + 198*k + 16099 = -7752 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -22012?\nAnswer: -22002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012222 + -11?\nAnswer: 2012211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/((48\/(-100))\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wztrwrxrwtwrtr. What is prob of picking 1 t and 2 w?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 - 33 = -118*d + 91*d. Let n(v) = v**3 + 12*v**2 - 12*v + 17. Let m be n(-13). Suppose 0 = m*h - 3*u - 23, 0 + 6 = h - u. Solve h*g - d = g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 1. Let h = d - -19. Factor 3*k**h + k**2 + 20*k**4 + 25*k**3 + k**2.\nAnswer: 5*k**2*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 5*q**4\/2 - 995*q**3\/6 + 1715*q**2\/2 + 460*q + 5807. Determine r, given that p(r) = 0.\nAnswer: -1\/4, 4, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.5529 to zero decimal places.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (-6 + 0 - -11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*f + 142*f - 900 = 67*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46008840 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 g be (4 - -3)\/(-1)*-1. Suppose -g - 5 = -p. Let h = p + -3. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 8*u - 3. Let p = -3 - -9. Let k be l(p). Suppose -2*j - 1 = -2*g - 3, 5*j = 3*g + k. Calculate the smallest common multiple of j and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 703 + -414. Let a = 969 + -935. Calculate the highest common divisor of a and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -758912*a**5\/9 + 105067424*a**4 - 294558825794*a**3\/9 + 106261372*a**2 - 776258*a\/9 = 0. What is a?\nAnswer: 0, 1\/616, 623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -699 divided by -8\nAnswer: 699\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9*f**2 - 10*f + 4. Let y(l) = -2*l**2 + 2*l - 1. Determine -11*y(k) - 2*z(k).\nAnswer: 4*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (309*g - 67*g + 140 - 141)*(-13 + 39*g**2 + 13) to the form m + p*g**3 + o*g**2 + u*g and give o.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (3 + -27 + -95) - (3 + 17)?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*x + 0*x - 19*x)*(0 + 2*x + 0).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.112? (a) -2 (b) -22\/3 (c) 1\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 29*z**2 - z + 6. Let a(y) = -30*y**2 + y - 6. Let v(s) = -4*a(s) - 3*d(s). Let m be v(-3). Let t = -155 + m. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39081 minus 0.25?\nAnswer: 39080.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozjj when four letters picked without replacement from {z: 1, h: 5, o: 3, y: 1, j: 2}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w - 2. Let j = 3 + -8. Let x = j - -10. Calculate the remainder when x is divided by r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8068 times 14?\nAnswer: -112952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960*a - 17 = 3*k + 969*a + 7, -4*k - 4 = -2*a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 810834.6 tonnes to grams.\nAnswer: 810834600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223 or -222?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1265904 by -1192.\nAnswer: -1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.013, -2\/13, 1\/48, -0.1?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 540?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21350 and -0.27?\nAnswer: -5764.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*b**4 - 488*b + 49473 wrt b?\nAnswer: 20*b**3 - 488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = -6*h + 4*h. Suppose h = 4*z + 5*a - 20, 5*z = 2*a + 1 - 9. Solve z = 5*o - 9*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -4 + l + 10 - 6 + 14. Let v be g(-11). Let c(s) = 5*s - 2. Let m(n) = -11*n + 3. Let k(x) = 5*c(x) + 2*m(x). Calculate k(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70050121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -640, -644, -660, -694, -752?\n\"Answer: -h**3 + 3*h - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.5741 hours to seconds.\nAnswer: 182066.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37.4 or 2\/203?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4443979?\nAnswer: 227, 19577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36572*l**3 + 41*l**2 - 8*l + 93 wrt l?\nAnswer: -219432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 12737.\nAnswer: 2547.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*w + 6*w + 230 = 0. Let z(s) = -s**2 + 6*s - 9. Let y be z(6). Is y >= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9724 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -11*q + 3. Suppose -5*t = -t + 12. Is x(t) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*c + 4 = 2*o, -3*o - 3*c + 12 = 0. Suppose -3*x + 30 = 2*x - 4*v, -3*x - 2*v = 4. Let z be 14\/o + x\/(-4). Solve -10 - 5 = -z*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48.8 - 24.6. Round u to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2. Let p be y\/(-5) + (-228)\/(-15). Suppose 0 = -5*c + p, -2*c + 3*c + 47 = 5*j. Solve j = l - 0*l - 4*q, -3*l = 2*q - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 826040*w**3 + 6259787*w?\nAnswer: 4956240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 230 + -228. Suppose 5*s - 189 = -h*s. Calculate the remainder when 186 is divided by s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/40*(-7 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (4 + -3 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1002*c**4 + 3*c**3 + c**2 + 7*c - 1.\nAnswer: -24048*c + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26470373 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, b: 3, j: 4}. What is prob of picking 1 b and 2 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (sqrt(88) + -2*sqrt(88))*3 - sqrt(88))\/(6*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1660 = 49*m - 44*m. Let a be (18 - m)*18000\/1. What is a rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q + 4*q**3 - 18*q**3 - 3*q**3 - 9*q**3 - 63*q.\nAnswer: -26*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -456664?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 255, 1617, 3881, 7041, 11091, 16025, 21837, 28521?\n\"Answer: -w**3 + 457*w**2 - 2*w - 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 8 - 1 - 5)*(-c**2 - 4*c**3 + c**2).\nAnswer: 8*c**4 + 56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-3))\/(3*(-132)\/(-297))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**3 - 2. Let b be g(1). Let p(x) be the second derivative of b*x - 1\/6*x**3 + 1\/6*x**4 + 0 + 1\/2*x**2. What is p(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -374001*c + 748011. Calculate f(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/30*(-2 - -4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l + 19*l - 4*l - 14*l + 22*l.\nAnswer: 38*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 844*f**2 - 4*f + 802. Let q(g) = -850*g**2 + 3*g - 802. Let a(j) = -4*q(j) - 3*w(j). Differentiate a(c) wrt c.\nAnswer: 1736*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202064?\nAnswer: 2, 73, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10122210 (base 3) to base 4.\nAnswer: -221223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 33972507?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*c - 0*c - 5*l, 4*c - 2*l = 8. Let o(w) = -12 - w**c + 9 + 3. Let n(a) = -180*a**2. What is o(n(b))?\nAnswer: -32400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 o, and 1 x when three letters picked without replacement from {v: 4, o: 4, x: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 + 6*k - 3. Let s be b(6). Let m(g) = -g - 8 - 2 + 4 + 2*g**2 + 5. Let p(i) = -4*i**2 + 2*i + 1. What is s*p(x) - 5*m(x)?\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -355*a - 901*a = -404*a - 50268 for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*z - 13 + 184 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*f - 2. Suppose -4*j = 4*m - 36, -4*j - f*m + 52 = -6*m. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 + -0.4. Which is the nearest to i? (a) -0.3 (b) 2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 3)\/((-18)\/(-36))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 3\/35 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 - 1342?\nAnswer: -1306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1086 - 1132.935. Let a = c - -47. What is a rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (398 + 6*m**2 - 398)*(3 - 3 - 5) + (2*m**2 - m + m)*(3 - 3 + 3) - 2*m**2 + 1 - 1 to q*m + w*m**2 + y and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2175 take away 132.4309893?\nAnswer: -2307.4309893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 + 9*k + 9*k + 11*k.\nAnswer: 29*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*g - 32 = -6*g, 4*d + 5*g - 43 = 0. Suppose 4*b + d = 2*z, 2*z + 2*z = -3*b + 13. Suppose z*f - 45 = 311. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7547254 and 69212?\nAnswer: 3146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2590 divided by 37?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express d + 0*d - 5*d + (-1137 - 1200 - 385)*(4 - 3*d + 2*d + 3*d) as q*d + f and give q.\nAnswer: -5448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 315335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 2166?\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 945897276 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 w when four letters picked without replacement from weeweewweeeeeeweeeee.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t + 81. Let i(b) = -15*b + 98. Let v(a) = 5*i(a) - 6*q(a). What is v(-10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 26*s = -22*s - 8, 16 = 4*s. Let f(a) = -a**3 - 49*a**2 + 45*a - 10. Let c(n) = 24*n**2 - 22*n + 4. Let u(d) = q*f(d) - 5*c(d). Factor u(v).\nAnswer: 2*v*(v - 10)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, n: 3, o: 2, s: 1}. Give prob of sequence ow.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8320.227 millennia to months.\nAnswer: 99842724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1359 = 3*a, -5*r + a = -8*r + 2063. What is the remainder when r is divided by 687?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3759 - -4245. List the prime factors of u.\nAnswer: 2, 3, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1260 = -7*y + 2408. Suppose 31*v + y = 35*v. What is the remainder when v is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.257 - 0.057. Suppose 0 = -g + 3*f - 3, 2*f + 3 = -g + 3*f. Which is the closest to -1? (a) x (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w = 11*w + 3339. Let t be (-627)\/w + 32\/24. Are 0 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9960320 and 289930?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3179.054 rounded to the nearest 100?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*m**5 + 6*m - 2*m**2 + 2*m**2 wrt m.\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -3\/2 (c) 189.7 (d) -3 (e) 1 (f) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 7*g**2 + 328*g - 199. List the prime factors of s(-24).\nAnswer: 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -9*w + 13*w - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*v - 21*v + 12, -111 = -3*q + 3*v. Calculate the smallest common multiple of q and 1128.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 722701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -415337025 divided by -25?\nAnswer: 16613481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(5*k + 3*k - 10*k)*(2 + 1 - 4).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -2*j - 3*j. Let a(u) = u - 2. Let o(g) = -4 + 2*g + 1 + 3 - 5. Let v(n) = j*a(n) - 4*o(n). What is the first derivative of v(p) wrt p?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 13, 5, -17, -59, -127, -227?\n\"Answer: -w**3 + 2*w**2 + w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 866858?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36164757*q**4 - 320614673*q**2?\nAnswer: 867954168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q. Let v(i) be the third derivative of i**7\/1260 - i**4\/8 + 3*i**2. Let s(x) be the second derivative of v(x). Give m(s(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*w**2 + 4*w**2 - 77*w**2.\nAnswer: -30*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f + 7. Let k be i(6). Let g(s) = s + 3. Let z be g(0). List the prime factors of (k - z)\/(-2)*-3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etvsssvvvvtvssvv. What is prob of picking 2 s, 1 e, and 1 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (-546)\/(-35)) + (-10320)\/(-2200)?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3*g + 87, -2*t = 3*g - 4*g - 70. Solve 0 = 34*m - t*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -22*w**3 - 783*w**2 + 2918*w - 35. Give l(-39).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -59 - -62. Solve -u*l - 3 = -0*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-17)*(-7 + -25) - -2.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126332641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 1506 = -66*n - 174 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -550, -2208, -4968, -8830, -13794, -19860?\nAnswer: -27028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iifd when four letters picked without replacement from {i: 2, d: 4, f: 6}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 213273, 213271, 213271, 213273, 213277, 213283?\n\"Answer: l**2 - 5*l + 213277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 2*d - 18. Let b be h(4). Let z(i) = 4*i - 21. Let y be z(b). Let q be 0\/((-1 - -1) + -2 + y). Solve 3*g = 3*u + 12, 2*g = -2*u - q*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69608, 69521, 69434, 69347?\nAnswer: 69260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 296*q - 11. Let x(z) = 99*z - 4. Give -17*x(t) + 6*y(t).\nAnswer: 93*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-9)*48\/(-672)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwbwgwgwbwgbbwwzb. What is prob of picking 1 b and 1 z?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 145056671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 12:40 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = 4*l + 2*d, 2*l + 19*d - 12 = 20*d for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -0.3. Let o = v - 3. Let d = -107 + 964\/9. What is the biggest value in d, 0.3, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 168 + -1846\/11. Let x = 760\/3 - 253. What is the smallest value in 3\/8, x, -1, y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 4*q + 208, 0*y + 3*y = -2*q + 304. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 97728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 0 (b) -1 (c) 61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 423 (base 5) to base 14\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -16. Suppose -28*v = -r*v - 270. Calculate the lowest common multiple of 30 and v.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2997453*u - 2997453*u - 7755*u**2.\nAnswer: -7755*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2708564 (base 10) in base 4?\nAnswer: 22111101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 92 from -0.9.\nAnswer: -92.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -68 - -110. Let d = 12 + p. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -997 = -12*i - 1045 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a second in microseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u - 3. Suppose 0 = d - 4, -4*d + 0*d = -3*m - 25. Let c be a(m). Suppose 15*g + 6 = 17*g, -c*s + 147 = -g. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -206 + 90. Let h = i + 153. Suppose 2*r = h + 47. Calculate the remainder when 250 is divided by r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1131 - 28281\/25. Do x and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 40477399.9 to the nearest ten thousand.\nAnswer: 40480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2057 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40956, -73643, -106314, -138963, -171584?\nAnswer: -204171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a - 265724 + 43876 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5170128079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3371 is divided by 556.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**5\/90 + o**4\/18 - o**3\/9 + o**2\/9 + 7*o - 7. Factor s(c).\nAnswer: -2*(c - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + m**3 + (3*m**3 + 3*m**3 - 4*m**3)*(0 - 1 + 0))*(-m - m + 5*m).\nAnswer: -3*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 at least -13243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n - 112*n = 7*w + 8, 0 = -2*n - 2*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 20. Let j be a(16). Suppose j*s = 433 + 1471. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27089, -28566, -30079, -31646, -33285, -35014, -36851, -38814?\nAnswer: -40921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5*r**2 + 0*r**3 - 1 + 0*r**3 + 9*r - r + 2*r**3. Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + x + 4 = 4*n, 0 = -3*n + 2*x + 8. Let s(k) be the first derivative of 0*k + 1\/4*k**4 + 4 + k**2 + n*k**3. Find the second derivative of s(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-14)*(-9)\/27?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5)\/n)**43)**0*((n**(-2\/7)\/n)**(-2\/45))**(8\/15) assuming n is positive.\nAnswer: n**(16\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-975)\/(-3045) - 30\/105\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -106254.\nAnswer: -5\/106254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/13 - 55\/91. Suppose 0 = 6*y - 20 - 6 + 14. Let z = 1 + 0. Which is the third smallest value? (a) y (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11868\/(-23)*2100\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -296205 take away -16?\nAnswer: -296189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (1 + (-8 - 7) + (-31 - -12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 310, 618, 914, 1204, 1494?\n\"Answer: v**3 - 12*v**2 + 337*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -245.286 - -243.1. Let y = 0.76 - 0.674. Let l = d + y. Round l to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3038 - 2064. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 303 - 171. Let v be 84\/m - (-28)\/35*5. What is the fourth smallest value in v, -15, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*v - 7 = 0, 2*v - 2 = -t + 5. Suppose 4*o + 289 = t*o. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n - n + n. Let b(m) be the third derivative of m**4\/24 + 3*m**2 - 25. Give v(b(p)).\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2041725133?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/((-10)\/4)*(17\/(-476))\/(2\/8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n + 1. Let h(s) = 86 - 8*s**2 - 3*s - 90 + 7*s. Calculate -4*d(w) - h(w).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 PM and 6:29 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -57\/5 != -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 2*u - 1317 + 2*u + 2638 - 1321.\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**5\/5 + 323*w**4 - 418606*w**3\/3 + 416670*w**2 - 416025*w - 651. Factor b(r).\nAnswer: -(r - 645)**2*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three tenths of a meter?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 911931 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*(k**(-3\/5)\/k)\/k)\/k*k)\/k)\/k*k*k\/(k*k**(-6)))**5)**(-16) assuming k is positive.\nAnswer: k**(-272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2494 and 13584644.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 427291004 a multiple of 1087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, i: 1}. Give prob of sequence ni.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/43 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -3, -4, -700 in descending order.\nAnswer: 17, -3, -4, -700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4b4993 + 32?\nAnswer: -4b4961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72\/275 + 2\/25. Let r = -1773 + 760612\/429. Let s = r - -4\/39. Which is the biggest value? (a) 2 (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, q: 3, i: 4, t: 6}. What is prob of picking 2 q and 2 t?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 5:18 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usezgxs. Give prob of sequence xu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 + 2. Let l be 2\/9 - 102\/t. Find the third derivative of 4*j**6 + 5 - l*j**2 - 5 wrt j.\nAnswer: 480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008094366 rounded to 6 dps?\nAnswer: -0.000809","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n - 7973 = 747. Calculate the remainder when n is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 33*d**5 - 171*d**4 + 129*d**3 + 279*d**2 - 54*d = 0.\nAnswer: -1, 0, 2\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48 - 14*q**2 - 48)*(q**2 + 4*q**2 - 3*q**2).\nAnswer: -28*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 24908\/6 + 53\/(-159).\nAnswer: 16604","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {c: 7, y: 1}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-4) - (-10)\/4. Let i be (o\/2)\/((-5)\/(-20)). Let l = 14 - i. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 2:56 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7834 (base 11) in base 12?\nAnswer: 5b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 915 and 160?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxy when three letters picked without replacement from loaoylxxalxyqx?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*o - 14 = 0, 20 = 7*o - 2*o. Let r = 3 + y. Differentiate -4 + 2*w**r + 2 + 0*w**2 wrt w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 0.056\nAnswer: -0.0224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9524075 or -9524072?\nAnswer: -9524075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 12:55 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19199 by -2.\nAnswer: -19199\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = b - 4*b - 14 + 13, -310 = -b + 45*v for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 3*u. Let x(j) = j**2 + 3*j - 1. Let n(i) = 2*v(i) + 3*x(i). Calculate n(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1194 + 0.121. Round l to three dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5628, -11165, -16698, -22227?\n\"Answer: 2*h**2 - 5543*h - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 168022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2311 is divided by 48?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -476.000782 + 476. Round j to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3308 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 29*d**2 - 2*d - 6*d**2 - 10*d**2 - 14*d**2. Let f(x) = 5*x**2 + 10*x - 1. Calculate 2*f(v) + 11*k(v).\nAnswer: -v**2 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 88\/40 + -2 + 24\/5. Suppose f*a = -4*n + 91, n + 3*a - 101 = -3*n. Solve 5*s = -3*h + 35, -s + n = -h + 6*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 2. Let h(o) = 96*o + 1. What is -h(f) + 2*i(f)?\nAnswer: -100*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 144?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -103 + 4?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000054984229 rounded to 6 decimal places?\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -3*l - 11323, -4*a - 4*l = -1416 - 9872. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62 - 34. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 97 (c) 1294 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 940536.94 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7943.179 years in decades?\nAnswer: 794.3179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2896954 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 10. Let k be 1\/a*(-6 + 0). Let l(c) = 20*c**2 + 3*c - 3. Is l(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*l + 1, -2149 = -5*v - l. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynnnnmnpp. What is prob of sequence pmnp?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.22 - -0.72023.\nAnswer: 1.94023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -15*o - 66. Let c(m) = -7*m - 31. Let a(n) = -9*c(n) + 4*x(n). What is a(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjmzzpljzrjzzj. Give prob of picking 1 l and 1 z.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 18*c**5\/11 - 16204*c**4\/11 + 2386512*c**3\/11 - 127650432*c**2\/11 + 2342165504*c\/11 - 514203648\/11 = 0.\nAnswer: 2\/9, 56, 732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/((-4945)\/(-2193)))\/((54\/20)\/(-9)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4331 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1826468 and 1979204.\nAnswer: 6364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -4*b**3 + b**2 - 5*b - 6. Let s(h) = -5*h**3 + h**2 - 6*h - 7. Let u(y) = 6*a(y) - 5*s(y). Calculate u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.533662979 less than -199?\nAnswer: -243.533662979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3245 and 0.5.\nAnswer: -1622.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 25 = 5. Suppose w = -c*l - 8 + 5, 4*l = 0. Suppose -35 = -3*x + 4. What is the third smallest value in 1, 0.1, x, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k - 4*k + k**2)*(-3*k + 5*k + k)*(1 - 3 - 4) - 204*k**3 - 694*k**3 + 224*k**3 - 2*k + 2*k**3 + 2*k in the form m*k**2 + w*k + p + s*k**3 and give s.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 22*l + 31 + 167. Sort 5, -2, 0, l, -1 in decreasing order.\nAnswer: 5, 0, -1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.71504 rounded to two decimal places?\nAnswer: -6.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8 - -1 - 1463\/(-231)) + (-128)\/(-3). What is the greatest common factor of j and 1792?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 373632 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 59.0073 to 1 decimal place.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k + 70*k + 13*k + 0*k**2 + k**2.\nAnswer: k**2 + 121*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 19643 and 1168006.\nAnswer: 1187649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 2*d + 50 = 0, 181 = -27*i + 2*d - 122 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1, 5, -1, -6, 3, -20 in increasing order.\nAnswer: -20, -6, -1, 1, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1047.956 - -1054. Let x = -6 + b. Let d = x + 1.306. What is d rounded to one decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 9 = 43. Suppose 10*m = b - 3. Do -1\/274 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 + 6 = 0. Let g(r) = -2*r - 62. Let q be g(-34). Suppose f*m + 366 = q*m. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**4\/12 - c**3 - 3*c**2\/2 + 4*c. Let x be l(5). What is the units digit of 12\/x*(-15 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 152?\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -857*o**3 + o**2 - 3*o + 22. Let i(h) = h**3 - h + 7. Determine -3*i(f) + q(f).\nAnswer: -860*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + s**2 - s + 3. Let g(n) = n + 7. Let f be g(-7). What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 8*q - 11 = 2*u, 4*u + 12 = -4*q for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1*(sqrt(500) - (-4 + sqrt(500) + -2) - -2*(sqrt(500) + 2*sqrt(500))) + -2)*1)**2.\nAnswer: -72064 - 1920*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -1030*r - 2218. Let o be q(-2). Put 5, -22, o in descending order.\nAnswer: 5, -22, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 1\/3*s**6 - s**2 + 2 + 0*s + 4\/5*s**5 - 4\/3*s**3 + 0*s**4. What is c in j(c) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2627621 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49639 - -49664. Let x(g) = -4*g + 5. Let q be x(-5). Solve -30*c = -o*c - q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 6:27 AM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05111131 - 0.05111. Round u to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 392 + -393. Let g be (t - 7)\/(-8) + 38999. Round g to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 77 = -25. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r + 116. Let h be f(-48). Which is the biggest value? (a) h (b) -5 (c) 70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 0*i - 11*i + i. Let z(g) be the third derivative of 0*g**4 + 0 + 0*g + 1\/60*g**5 + 0*g**3 + 2*g**2. Give z(n(a)).\nAnswer: 100*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -9*j + 5. Let r(o) = 9*o - 5. Let t(x) = 4*p(x) + 3*r(x). Let g(q) = 28*q - 16. Let s(n) = -6*g(n) - 20*t(n). Does 14 divide s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66480453 and 5772.\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-18)\/n)\/n**(-15\/8)*((n*n*(n\/(n**(-10)*n))\/n*n)\/n)\/(n\/(n**(2\/47)*n*n)) assuming n is positive.\nAnswer: n**(-1911\/376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -507\/20, -4\/5, -4, -1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3 + 973392*k**2 - 2920183*k + 1946790 = 0. Calculate k.\nAnswer: -973395, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8) + 26\/104?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9385*c = -9394*c + 34893. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 11:02 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 5*u + 1. Let m(c) = c**3 + 15*c**2 - 16*c - 22. Let h be m(-16). Let f(i) = i**2 + 21*i - 20. Let a be f(h). Suppose -3*v = -2*v - a. Give w(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24914 and 74742?\nAnswer: 74742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 + 6*n - 10. Let f be h(-7). Suppose 5*d = 20, 0*d + 2*d - 4 = -4*q. Does q = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 15*j**2 - 18*j - 25. What is the least common multiple of g(-16) and 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.029289663 rounded to two decimal places?\nAnswer: 1.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 5)*(2 + 2 - 2)*(r**3 - 8*r**2 + 8*r**2).\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 264 = 3*u, u + 3*u + 338 = -2*q. Let n = -247\/3 - u. Which is the closest to n? (a) 2 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 30*v**2 - 37*v - 76. List the prime factors of j(22).\nAnswer: 2, 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 4:08 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22961 is divided by 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let o be t(-3). What is the third derivative of 2*u**o - 2*u**4 + 0*u**2 - 4*u**4 - u**2 wrt u?\nAnswer: -96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-seven quarters of a litre in millilitres?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2\/1531 - 3100\/29089. Which is the biggest value? (a) d (b) -1 (c) 3623\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 240575 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffff when four letters picked without replacement from ffdfffff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/((r\/r**11)\/r))\/r)\/r)\/r*r*(r\/(r**12\/r))\/r*r*(r\/(r\/r**1)*r)**48 assuming r is positive.\nAnswer: r**96","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.4 (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51170 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 6*y**2 - 25*y - 57. Let o be q(-3). Let d(v) = 15 - 7*v + 5*v + v. What is d(o)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -5 - 1 - -1. Suppose 6*p + 27 = p - 3*x, -4*x = -4*p + u. Is (p - 27)\/2*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*u - 6 = 0. Let l = u - -2. Let i(h) = h**2 + 1. Let d(n) = -7*n**2 - 5. Calculate l*d(w) + 6*i(w).\nAnswer: -w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**2 - 213*t + 666 = 0?\nAnswer: -74, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 - 11644*r - 33895684.\nAnswer: -(r + 5822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.649 times 298?\nAnswer: 491.402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3619.46477 rounded to the nearest 10?\nAnswer: -3620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-15 + (-10 - -5) - (-5 - 0)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1502 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/19 or 0.2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 5*p - 4*h, 5*p = 9117*h - 9029*h + 586 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-231)\/(-22) - 9)*(-19)\/((-874)\/(-4)).\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -0.5, -2.9, -0.8 in descending order.\nAnswer: -1\/4, -0.5, -0.8, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, o: 2, h: 2}. What is prob of picking 2 f?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2.87, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n + 130 = -46. Suppose -2*k + 112 = -102. What is the remainder when k is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/21*(-2)\/((8\/3)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184524072 - 3*c - 184524072.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 11:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 2*j + 2. Let c(x) = -5*x**2 - 2*x - 3. Let p(f) = -2*c(f) - 3*l(f). What is the second derivative of p(q) wrt q?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 8*p**3 + p**2 + p. Let t(c) = 4*c + 41. Let x be t(-10). Let i(h) = h**3 + h**2 + h. Give x*i(r) - y(r).\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2735*q - 57502. Calculate f(21).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -722, -1613, -2856?\nAnswer: -4451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9997.62 to the nearest 10.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -4402\/79 at most -56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -0.3\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7575048, 15150124, 22725200?\n\"Answer: 7575076*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14902 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) + 0) - (-5 + (sqrt(52) - sqrt(13))))**2.\nAnswer: -10*sqrt(13) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j - 9. Determine i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 54 + 0*d**4 + 0*d - 2\/5*d**2 + 2\/75*d**5 - 14\/45*d**3. Find b such that x(b) = 0.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*k**4*q**2 + 7155*k**4*q + 1797*q**2 + 1550 with respect to k.\nAnswer: -1044*k**3*q**2 + 28620*k**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/8 - 9\/(-12))*(59 + -63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500857845 to the nearest integer?\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -893 + 3573\/4. Let g = 0.088 + 2.912. What is the nearest to -1 in k, -0.4, g, -56?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -14, -5, 22, 79, 178, 331?\n\"Answer: 2*d**3 - 3*d**2 + 4*d - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -286 + 1999\/7. Let r = 3.931 - -0.069. What is the second biggest value in r, w, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3400 divided by -6\nAnswer: 1700\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, q: 5}. Give prob of sequence qvvq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1856230 = 277*z - 2132381 + 878178. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in -6, 15, -2\/5, -0.5, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -980 divided by 245.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 + 2*(-175)\/(-240)*2. Solve -1\/3*x**2 - 7\/3 + i*x = 0 for x.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17590 - 23248.9. Round m to the nearest 10.\nAnswer: -5660","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/(-5))\/((-8)\/(-568)). Let h = -3619\/17 - o. Put h, 1\/8, -0.5, 0.01 in decreasing order.\nAnswer: 1\/8, h, 0.01, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 6 - 5*r + 6.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.057 (c) -2957\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1403704 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**4\/4 - q**3 - q**2\/2 + q - 11. What is c(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/10*(-100)\/540?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14406 and 21266?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -48.855 + -0.145. Let s = m - -48.7. What is the closest to 0 in -0.1, s, 3\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-five quarters of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*52.\nAnswer: 15.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, w: 4, u: 11}. Give prob of picking 2 w.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7001 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 5*l - 2966683 + 2966578, l = 11*m - 231 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*4419\/765 + -14 + 4080\/289.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 18*z**2 - 30*z - 7. Let n be l(-20). Let t = n + 310. What are the prime factors of t?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 7140*d**3 - 3676530*d**2 - 554985860*d - 27151261995.\nAnswer: 5*(d - 1857)*(d + 143)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 300 and 21963670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1207*r - 2492 = -14562 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 226136425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2663 * -45.41\nAnswer: -120926.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-3))\/4)\/(88\/(-12)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) + 4 + sqrt(175)*2 + sqrt(175) + sqrt(175) + 1)**2 + sqrt(175)*-3*3*-3 + -1.\nAnswer: 385*sqrt(7) + 4399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 6461?\nAnswer: -6463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-12)*2*(-54)\/(-4698)?\nAnswer: -1\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13272254*i**5 + 8056501*i**2.\nAnswer: 796335240*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + 0. Let v = m - 0.3. Let p = -31 + 32. Which is bigger: p or v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (-11 - -8) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*m + 287*m - 12*m**3 - 5 - 6*m**2 + 2*m**3 - 4*m**3 wrt m?\nAnswer: -84*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -68*b + 0 + 1 + 66*b + 2*b**2. What is m(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of 51*q**4\/2 + 74*q + 99. Differentiate k(r) wrt r.\nAnswer: 306*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 7*d**2 + 4*d - 11. Let h be k(-6). Let m(s) = -6*s**2 - 2*s + 1. Calculate m(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f**3 + 41874139 - 41874139.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78614?\nAnswer: 2, 23, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 106, 292, 558, 904, 1330, 1836?\n\"Answer: 40*u**2 + 66*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2164322987 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/sqrt(2) + -5 + 1 - -5*(2*sqrt(612))**2.\nAnswer: sqrt(17) + 12236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 11, m + 188 = -590*a + 607*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336622 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 17 = -2*w, 3*w = 5*a - 4*a + 23. Solve 5*t = -3*o - w, 0*o + 8 = 3*t - 4*o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 12*z**2 - 5*z + 11. Let n(i) = i**3 + 6*i**2 + 2*i - 5. Let k = -10 - -3. Let w(m) = k*n(m) - 3*r(m). What is w(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141074610 a multiple of 1133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 8463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78)\/21 - -4*(-2)\/28?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 694\/23 bigger than 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**2 + 2*j**5 + 4*j**5 - 2*j**5 - 7*j**2 wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 + 4*m - 6*m - m**2 + 8*m**3 + 0*m**2 - 10 as s*m + t + q*m**3 + n*m**2 and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**5 + 194*w**4 - 1454*w**3 + 262*w**2 + 5652*w + 3744 = 0.\nAnswer: -104, -1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110893 is divided by 2996.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*d - 5*d + 80 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 8*h - 17. Suppose 0 = 3*r - 2*x + 23, 3*r - 1 = 3*x - 28. List the prime factors of f(r).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10188 + 0.9.\nAnswer: -10187.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, u: 2, m: 2, w: 5, n: 1}. Give prob of picking 1 b and 1 n.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 17\/816*296 + (-7 - -1). What is the fourth biggest value in -39, -4, g, -2\/3?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 499*6\/10 + (-9)\/(-15). Suppose 5*i = 3*r + 385, i - g = -3*i + 4*r. Suppose 8*k = 4*k + i. Is 15 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 13*b - 28. Let a be w(16). Which is greater: 22 or a?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2\/3 (b) 26 (c) -2 (d) -12.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**2 - 10*t + 12. Let j be r(5). Suppose j = 4*k - 0*k. Suppose k*h = 491 - 152. What are the prime factors of h?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 9:03 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 15 = -0*n. Let h = 0 - n. Find the second derivative of z**2 + 6*z + 2*z - h*z wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134743*w**3 + 9*w - 29*w + 5*w + 15*w.\nAnswer: 134743*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + v + 1, -2*f + 2*v + 4 = 10. Let q(s) = 10*s**3 - 8*s**3 + s + 16*s**3. Is q(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 2*z**2 + 4*z + 1. Let v(q) = -844*q**3 + 7*q**2 - 45*q - 3. Let n(p) = -v(p) - 3*w(p). Find the third derivative of n(m) wrt m.\nAnswer: 5082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmwcpcwmcmcpcwcccmm. What is prob of picking 1 c and 1 w?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((930\/(-25))\/1)\/((-67)\/(28810\/(-129)))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 80*d. Let q(h) = 69*h**2 - h - 60*h**2 - 12*h**2 - 3*h. Give q(i(b)).\nAnswer: -19200*b**2 - 320*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 9*c**2 + 7*c + 3. What is p(-10)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 2.7. Let t = 26 - -3. Let p = t + -29.1. Which is the second smallest value? (a) p (b) w (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -512032348 divided by 16652.\nAnswer: -30749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-10)\/16)*10170\/1356.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -13. Let a = 12 - s. Suppose 0 = 2*u - 4*k - 30, a*u + 7 - 19 = -5*k. Calculate the least common multiple of 8 and u.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 546836760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-2 + sqrt(13))**2)*-1.\nAnswer: -22 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1)*(118\/(-10) - -12)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22340 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 340109, 340117, 340131, 340151, 340177, 340209, 340247?\n\"Answer: 3*w**2 - w + 340107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t + 0*t**2 + t**2 + 3*t - 8. Let w be q(-7). Suppose -2*n = -5*z - 39, z - w = 3*z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**2 + 0*k**2 + k**2)*(5519 + 8027 + 10661 + 2627 + 11849 - 9881) to i*k**2 + w + n*k and give i.\nAnswer: 57604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10138\/21 - -3384\/7. Sort h, -0.1588, 2\/11 in decreasing order.\nAnswer: h, 2\/11, -0.1588","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1\/2 (b) 5367099 (c) -0.3 (d) -44 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 9*o - 7. Let d be k(9). Let r be (-1 + 0)*(4 + d). Let p**r + 1 + 4*p**2 + 1 + 6*p - p = 0. Calculate p.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 0*x + 0*x)*(-2 - 6 - 4) - 2*x + x + 0*x + 0*x - 16*x + 5*x.\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, v: 4, n: 3}. Give prob of sequence vn.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -257, -354, -467, -596, -741, -902?\n\"Answer: -8*d**2 - 73*d - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753253000 a multiple of 1000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/((-36)\/(-660)*11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j. Let z(h) = 85051*h**2. Give z(l(m)).\nAnswer: 85051*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 9 (b) -10 (c) 1\/6 (d) -9 (e) -1 (f) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3508*-0.04.\nAnswer: 140.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-12))\/(32\/(-5)))\/((-17)\/((-153)\/(-15)))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 78\/936 - 221\/156\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18949 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - 6\/6*-8. Suppose 4*c - 8*c + 4 = -k*p, 4*p + 8 = 0. Is 10\/21 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/15 - -1)*(-10 - -25). Which is greater: l or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4\/5 + 48*c**3\/5 - 36*c**2 + 40*c = 0. What is c?\nAnswer: 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.13095 and 0.5.\nAnswer: 0.065475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.5651t to kilograms.\nAnswer: 77565.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11 + -0.41. Let a(c) = -c**2 - 2. Let i be a(0). Let t be (-2 - i - -2) + -1. What is the biggest value in t, k, 2\/13?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 2364 + 5*y + 2449)*(3*y + 2*y - 7*y) + y**2 + 2*y**2 - 6*y**2.\nAnswer: -5*y**2 - 170*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 353963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2596.24 hours in minutes?\nAnswer: 155774.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g**2 + 8*g**2 + 25*g**2.\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + s. Let b be a(1). Suppose b = -v + 2*v. Let t(n) = n**3 + 7*n**2 - 2*n - 50. Let h be t(-5). Solve v = 4*w + h + 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.198 - -0.038. Let u = -9 - f. Let b = 1.06 - u. What is b rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -108, -483, -1092, -1935, -3012?\n\"Answer: -117*f**2 - 24*f + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3*p**2 - 4. Give d(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - -2. Let x(z) = -3*z**2 + 0*z**2 + 7 + z**3 + 7*z + 1 - 6*z**2. Let d be x(8). What is the third biggest value in 4, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 3050954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41 + 43. Let m(i) be the first derivative of i**3 - i**2 + 3*i + 567. Give m(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -14 (c) -26 (d) -3 (e) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 13 = z - v, -4*z + v - 8 = 0. Put z, -4, 1, -18 in decreasing order.\nAnswer: 1, z, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - 17) + 8 - -27\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**4 - 2172*p**3 - 26256*p**2 - 105280*p - 140544.\nAnswer: 2*(p - 1098)*(p + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 1, x: 2}. What is prob of sequence xux?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*x**2 + x**3 - 180*x**2 - 86*x**2 + 10*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvp when three letters picked without replacement from {e: 2, h: 2, k: 2, x: 1, p: 3, v: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -470, -475, -482, -491, -502, -515?\nAnswer: -530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/4)\/b)\/b**(5\/7) assuming b is positive.\nAnswer: b**(-27\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-33\/4)*a*a**26)\/(a**(19\/2))**(-37) assuming a is positive.\nAnswer: a**(1481\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29096, 58178, 87260?\n\"Answer: 29082*m + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 28*f**2 - 59*f + 44. What is the first derivative of v(n) wrt n?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-3\/25)\/y)*y*y*((y**(2\/37)\/y)\/y)\/y*y)\/(y**22\/(y*y**(1\/11)\/y)) assuming y is positive.\nAnswer: y**(-190629\/10175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8468 - 9532 = 1069*a + 23730 + 30962 for a.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -52 in ascending order.\nAnswer: -52, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 97773.\nAnswer: 195546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 6:38 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -10078*w**2 + 107*w + 16. Let v(x) = 3357*x**2 - 35*x - 5. Let c(z) = 4*u(z) + 11*v(z). What is the second derivative of c(b) wrt b?\nAnswer: -6770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-16)\/448*12)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 4 + 1)*(7 - 3 - 3) + 0 + 2 - 3)*((d**2 + 3*d**2 - 2*d**2)*(-145*d + 128*d - 94*d) - 3*d**3 + 2*d**3 + 4*d**3).\nAnswer: -219*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -2*l**2. Let b(p) = 2*p**2 + 2. Suppose 0 = -6*w + w + 20. Let o(v) = -16 - 17 - w*v**2 + 28. Let q(r) = -10*b(r) - 4*o(r). Calculate i(q(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4533.544ml?\nAnswer: 4.533544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) -7 (b) -6 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -377960000 to the nearest 1000000.\nAnswer: -378000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*z**2 - 11*z**2 + 12*z**3)*((-3*z + 4*z - 3*z)*(0 + 1 + 0) + 0*z + 2*z + 3*z - z - 2 + 2)*(3 + 4 - 5)*(0 + 2*z + 0).\nAnswer: 96*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-109)\/1635*(-6)\/(-2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 68*f - 19. Let l(a) = 45*a - 22. Let b(t) = -3*l(t) + 2*r(t). Calculate b(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w - 2*h = 3*h - 193, 76*h + 23 = w + 75*h for w.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3.6. Let w = p + 0.4. Let c = -0.8 - 0.2. What is the nearest to c in w, 3, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 19*w - 23*w - 21716, 5*l - 27148 = 4*w. Calculate the greatest common factor of l and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 PM and 10:25 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5*m + 282 = 0. What is the remainder when m is divided by ((-285)\/105)\/((-25)\/175)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -265\/7 + 38. Let v(w) = 2*w**3 + w**2 - w + 1. Let c be v(1). Suppose 1 + 2 = c*q. Which is smaller: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(121)*-2 + sqrt(121))\/((sqrt(66) + sqrt(66)*2)\/sqrt(6)) - (sqrt(99)*1 - 2*sqrt(704)))**2.\nAnswer: 15884\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5075, 0.5, -0.4, -4?\nAnswer: -5075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1440 + 5*k + 1443 + 12*k + (-1 - 1 - 1)*(-2*k + 2*k + 2*k))*(-8 + 13 + 27).\nAnswer: 352*k + 96","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -230*w**2 - 70*w. Let q(t) = -10*t**2 - 3*t. Calculate 70*q(x) - 3*u(x).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -1\/3 in descending order.\nAnswer: -1\/3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-11)\/77*(-4)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.43*-0.011\nAnswer: 0.00473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 1011001011?\nAnswer: -1011010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -71, -93, -99, -83, -39, 39?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 24, 13, -36, -129, -272, -471, -732?\nAnswer: -1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 4:12 PM?\nAnswer: 3:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74362555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 8*k**2 + 2. Let z be l(-8). Solve -2*u + 20 = z*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 24. Suppose 4*q - x*q = 2. Let h(m) = -m**2 + m + 1. Let u(a) = 2*a + 6 - 2*a**3 + 0 - 5*a**2 + 5*a. Determine q*u(s) + 6*h(s).\nAnswer: 2*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1788804, 1788937, 1789066, 1789191?\nAnswer: 1789312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 13*f + 53. Let y be a(-4). Let i be 50\/(-2)*((-63)\/45 + y). Solve 2*m + 3*v = -3*m + 5, i = -2*v for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 6 = -5*i. Suppose 24 = 3*n + i. Let m(x) = -x**3 + 6*x**2 - 6. What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 25*q = 6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s - 1. Let n(m) = -7*m + 6. Let h(b) = 6*a(b) + n(b). Let t(j) = -2*j - 2 + 2. Determine h(t(k)).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n + 6. Let s be r(6). Suppose -a - 1 + s = 0. Let y be 9 + a + 4\/(-4). Solve -17 = -2*d - y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -66 - -68. Suppose 6 = n + t*a - 3*a, 2*a + 9 = n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let r(s) = s**2 + 86*s + 5842. Give r(g(f)).\nAnswer: 4*f**4 - 172*f**2 + 5842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -24 - -42. Let z be (8\/1550)\/(w\/15). Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6281, 6217, 6127, 6017, 5893?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d + 3. Let k(w) = -w**2 - 21*w - 12. Let h be k(-9). Let o(a) = -1 - 7 + h*a + 95*a - 188*a. What is 3*o(j) + 8*v(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2) + 0 - (-2 - -4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 24*j - 2. Suppose 4*w - 1 + 5 = 0. Let f be h(w). What are the prime factors of -30*(3 + f\/6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228843?\nAnswer: 3, 47, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1598*h**5 - h**4 + 13*h**3 + 532552*h**2.\nAnswer: 95880*h**2 - 24*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 10*z + 28. Let c be w(-4). Suppose 631 = g - 5*h, -h + 1207 = c*g - 2*g. What is the hundreds digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 130\/2411647?\nAnswer: 130\/2411647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -1170*j + 24. Let l be d(8). Let i = l - -308122\/33. Which is smaller: 1 or i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 47 = -4*j, j = -2*a + 4*j + 32. What is the highest common factor of 91 and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 12:04 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**4 + 4*r**4 - 2*r**4)*(r - 2*r + 3*r) + r**3 - r**5 - r**3.\nAnswer: -5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1113 and 3021.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -35 in 20, 11, 0, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 61 + -61\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**4 - 311*b**3 + b**2 + 12994.\nAnswer: 4*b**3 - 933*b**2 + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3776448 and 25563648?\nAnswer: 332327424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of x**3\/2 + 361*x. Calculate t(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (2 + -5) - -1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/2 - 21\/6. What is the remainder when 2 is divided by (-5 - -3)\/(s - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2413765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/u**(-1\/12)*(u*(u*u**10*u)\/u)\/u*u*(u**2)**(1\/55) assuming u is positive.\nAnswer: u**(9319\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q - 10. Let p(v) be the first derivative of -1\/2*v**2 - v + q. Differentiate p(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*g**3)*(-2*g - 6 + 4 - 1) - 41 + 41 - 11*g**4.\nAnswer: -15*g**4 - 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*(p*((p\/p**(-30))\/p)\/p)\/p)\/(p**(-1\/6)\/p) assuming p is positive.\nAnswer: p**(187\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (1 - -5) - -6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 18777.\nAnswer: 18777.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 46*y**2 + 2*y + 1. Calculate the remainder when 5 - (16\/40 - 741\/15) is divided by q(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4725 and 1283310?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x = 20. Solve -2 = -4*l - l - x*w, -2*l - 2*w = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -2\/23 (c) -2\/1197 (d) -2 (e) -0.03 (f) -0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17220078 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 35 = 7*f. Which is bigger: f or 6?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ctcc when four letters picked without replacement from tcctc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -3.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8374939?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083297546 + -2?\nAnswer: -2.0083297546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + 30*n**3 + 2 + 0*n - 2*n - 28*n**3 + 3*n**2 in the form g*n**3 + a + j*n + x*n**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 276.8964nm to micrometers.\nAnswer: 0.2768964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 279 + -174. Let q(y) = 10*y**2 + y + 10. Let j be q(5). Suppose j = 5*a + 55. Calculate the highest common factor of p and a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.1 and 9327113.01144.\nAnswer: 9327111.91144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, b: 2, a: 4, q: 1, w: 1, c: 1}. Give prob of picking 1 c and 2 k.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-5)\/(-6) - (-173731)\/38895\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.4 - -35. Which is the closest to 0? (a) r (b) -1\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(1 + -5 - -5). Let h be (-1)\/((-26)\/(-24) + f). Let z = -7 - h. Solve 3*x + 3*r + 1 = 7, 0 = -z*x - r - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(14\/(-6)*(-9)\/63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 212403 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.5 + -5.5. Which is the closest to -0.06? (a) s (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -5. Solve -4*l = -2*g + 6, -z*g + 24 = -l - 0*l for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.4559 minutes in seconds?\nAnswer: 48687.354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) 0.5 (c) -334\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -539 divided by 7.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 0.4, -3, -0.5 in decreasing order.\nAnswer: 5, 0.4, 0, -0.5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 77, 0, 21, 5 in decreasing order.\nAnswer: 77, 21, 12, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119 = -3*i + b + 195, 2*i - 213 = -3*b. Suppose -4*v + i = -v. What is the remainder when v is divided by -1*4 - 52\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12258701321 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 87 = -5*t, 0 = -a + 3*t - 8*t + 39. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**4 + t**2 - t**2 + ((-1 + 1 - 1)*(-3*t**2 + t**2 + t**2) - 14*t**2 + 4 - 4)*(0*t**2 + t**2 + 0*t**2) + 7*t**2 - 7*t**2 + 9*t**4.\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = 3*w + 8, -5*w - h = -7*w - 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9851 - 9850. Which is the fourth biggest value? (a) 0.3 (b) 0.4 (c) -8 (d) 0.6 (e) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 + 2*u**3 + 8*u**3 - 9*u**3 - 2*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 51*z - 445. Let r be t(9). Solve -2*n = -4*g - r, -6 = 2*g + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-236)\/(-1770) + 18\/12 + (-191)\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6043 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 958459 is divided by 692?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 286.7 + -287. What is the nearest to m in -3, -0.5, 1\/2, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 9*z = -18*z. Let t = -2 + 3. Put 8, z, t in decreasing order.\nAnswer: 8, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 98*t + 95*t + 6 = 0, 4*n = -2*t + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 5*h - 3 + 3*h**2 - 2*h**2 + 0*h. Let j be i(-6). Suppose -3*x + 1 = -5. Which is bigger: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 13. Suppose 76 = z*t + a, t = 3*a - 5 + 17. Calculate the remainder when t is divided by (2 - 0) + 10 + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 122*q - 1725. Determine i(-14).\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 4*o + 4. Suppose 12*p - 2*p = 30. Suppose 4*g - p*n - 137 = 0, -3*n - 172 = -7*g + 2*g. Calculate the remainder when s(-5) is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*m + 1538 - 6488 = 0 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 - 230. Calculate the greatest common factor of 4 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128366 and 35616.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 811255 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365683 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -256005*h**3 - 78*h - 44151 wrt h?\nAnswer: -1536030*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*p**2 + 44 - 44 - 40*p**2.\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 299?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.79 and 0.068.\nAnswer: 0.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 + 2058.\nAnswer: 2055.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 40888.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1631586 rounded to the nearest 1000?\nAnswer: -1632000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 64*4\/(-16)*3. Let g = -41 - c. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*c*h**4 + 3144*c*h**3 - 2*c*h + 5*c - h**4 - 1272*h**2 wrt h?\nAnswer: 120*c*h + 18864*c - 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3440, 6894, 10360, 13844, 17352, 20890?\n\"Answer: t**3 + 3447*t - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1409699683?\nAnswer: 7, 9103, 22123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 288 and 35172.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -170, -181, -206, -251, -322, -425?\n\"Answer: -j**3 - j**2 - j - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 629 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, -0.05, 0.4, 5004\/7?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zezzzffeffeffefef. Give prob of picking 1 z, 1 e, and 2 f.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z - 2*z - 3*z to the form s + l*z and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4918939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1064659 at least 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 8:09 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -238400 or 0.46?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -4*k - 5*t, 3132 = -4*k - 2*t - t + 3099 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6 + 52*x**3 - 32*x**3 - 25*x**3 wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 393*v - v**2 - 194*v - 197*v - 37 + 11*v**3 + 28 as a + o*v + x*v**3 + b*v**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + -0.36. Let w = -17 - -25. Let l = 5 - w. What is the third smallest value in l, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + g - 6*g + 35 = 0, 3*s + 2*g - 17 = 0. Suppose -3*j = 5*c + 21, 4*c + 11 = s*c - 4*j. Is 0.3 equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2100809 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5218195061.\nAnswer: 5218195061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4727*g*q + 5488*g + 1 wrt q.\nAnswer: 4727*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -247*m + 620 = 171*m - 634. Solve 5*l - 16 = 3*b - 5, -7 = -4*l + m*b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24676 and 7192.\nAnswer: 1431208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 15*f**2 + 20*f - 45. Let j be r(14). Suppose 0 = j*b - 33*b - 18. Suppose -3*x = 9 - 33. Calculate the remainder when x is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 50*c**3 + 14*c**2 + 83*c - 97. Let l(a) = 9*a**3 + 3*a**2 + 15*a - 19. Let y(b) = 11*l(b) - 2*s(b). Give y(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/10 and 57\/6835828.\nAnswer: 34179140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -96 divided by 4\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -42875\/6*b**2 + 0 + 138*b - 1\/60*b**5 - 35\/12*b**4 - 1225\/6*b**3. Factor r(s).\nAnswer: -(s + 35)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 28. Let d(v) = r*v + 41*v - 4*v. Let l(u) = 7*u. Let x(c) = -2*d(c) + 15*l(c). What is x(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1928*l**2*r**2 - 3*l*r**2 - 2*l*r - 9*r**2 wrt l?\nAnswer: -3856*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 19. Let n = 58 + -55. Let l be d(n). Calculate the highest common factor of l and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9286895 to the power of 1\/2, to the nearest integer?\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-123)\/2*-8*(-5)\/(-30). Let j = p - 88. Let t(n) = -5*n - 6. Determine t(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 41*c - 71. What is s(3)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 12, d: 1, k: 7}. What is prob of sequence qkd?\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384*l = -105*l + 67*l + 2427 - 12115 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-6*((2*(sqrt(147) + -2) - ((sqrt(147) - (sqrt(147) + 2 + sqrt(147))) + 1)) + 5))**2 + -1)*5.\nAnswer: 15120*sqrt(3) + 238856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(1\/4). Solve c*y + 3*y = -10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 190944 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-3)*45\/30. Suppose -5*q = -w*f + 16, -f - 4*q = -8 - 17. What is the third biggest value in 1\/5, f, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(84)\/(sqrt(12)*-2) - sqrt(21)\/sqrt(12)).\nAnswer: -4 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -c7 (base 15) to base 2\nAnswer: -10111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by 12.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 28*t**2 - 27*t - 63. Determine q(29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 101 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5826 + 11663\/2. Let t = 2 - -5. Which is smaller: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -774*m = -794*m - 440 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.09 and 1240.\nAnswer: 1239.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36457613.27601584 + 0.27601584. Let i = z - -36457608.1999958. Let n = -4.8 - i. What is n rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**7\/350 + v**6\/100 - v**4\/20 - v**3\/10 + 29*v**2. Suppose x(k) = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5128245 and 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85969 = -14*g + 34165. Let o be (-1029518)\/120 + 2\/3. Let y = g + o. What is the common denominator of -81\/2 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96\/11 - 1502\/99. Find the common denominator of x and (7 + (-83)\/12)*(-1 + 122).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 PM and 7:18 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -661*i**2\/8 - 195*i\/8 + 233\/4.\nAnswer: -(i + 1)*(661*i - 466)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3651752 and 10042318?\nAnswer: 40169272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4.5 (b) -105 (c) -0.5 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 249 = -k + 703, 5*o - 3*k = 2254. Solve 0 = -455*w + o*w + 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 11. Let j be -1 + h - 0\/2. Solve -j*o + 20 = -7*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 - -223.802. What is g rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**4 - n**3 + n**2. Let s(r) = -r**3 + r**2 - 9*r. Let x(o) = f(o) - s(o). What is the second derivative of x(h) wrt h?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 1622306?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9472.101l to millilitres.\nAnswer: 9472101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - j. Let d be (-6)\/(-10) + ((-160)\/(-25) - 5). Let p(f) = 3*f**d - f - 8*f**2 + 6*f**2 + 5*f. What is -4*a(r) - p(r)?\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 3*q - 12 = 0. Let d be ((-2)\/q)\/((-2)\/(-4)). Let v(j) = -2*j - 2. Let g be v(-2). Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 139*q - 16. Let l = -173 + 179. Is h(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1032367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 u when four letters picked without replacement from {u: 4, w: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11323*p = 11331*p - 40. Solve -4*h - 12 = 4, 0 = -p*n - h + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1174, -2346, -3504, -4642, -5754, -6834?\nAnswer: -7876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from onsoidds. What is prob of sequence nioo?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**4\/2 - 429*z**3\/2 - 6087*z**2\/2 + 429*z\/2 + 3042 = 0. Calculate z.\nAnswer: -13, -1, 1, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255 by 6.\nAnswer: 85\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 4) to base 8.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 - 89*o + 674. Does 5 divide m(59)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*j + 468 - 622 + 8*j wrt j?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 12*i - 58*i**2.\nAnswer: -58*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 689, 9, -0.4, -4, -5\/4, -5\/3 in descending order.\nAnswer: 689, 9, -0.4, -5\/4, -5\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -35. Suppose k*d = -4*d - 5*p + 78, -3*p + 38 = 2*d. Let r = -16 + d. Solve -7*x + 3*x + 15 = 3*f, 3*f = -x + r for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 2*t**2 + 45*t - 357. Is o(11) a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -245556 (base 8) to base 13\nAnswer: -2c808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113686 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007153159702 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from ztz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 59768812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + 26\/6. Let x = 49 + -19. Solve 0 = -4*s + 4*r - 8, -4*s - 5*r = x - n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-7)\/d)\/d)\/(d*d**(-1))*d**3*d**(-2\/7) assuming d is positive.\nAnswer: d**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839119809 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = -6. Let i(g) = -g**2 - g - 1. Let n be i(-2). Let z(u) = u**3 + 4*u**2 + u - 4. Let j be z(n). Put j, h, -2 in increasing order.\nAnswer: -2, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a kilogram in grams?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 - 2*o**2 + o + 2. Suppose 0 = -w - 4*w + 5. Let q(v) = v**2 + 1. Let l(c) = w*n(c) - 2*q(c). Calculate l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 95*k**2 - 41*k + 94. Let h(c) = 68*c**2 - 27*c + 63. Let s(l) = -7*h(l) + 5*p(l). Calculate s(-17).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2192 and 18.\nAnswer: 19728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 0.2 (c) 3 (d) -0.4 (e) -92 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3*s - 4*j = 23, s - 5 = -2*j. Suppose -s*h - 6 = -13*h. Calculate the remainder when h is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10266*n**3 + 461965*n**2 - 472461*n + 230 = 0. Calculate n.\nAnswer: -46, 5\/10266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:25 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 - 14. Suppose -j*t = 3*p + 17, 5*t - t + 23 = 3*p. Let v(c) = -8*c + 1. Let k be v(p). Is k greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 9:51 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**4\/3 + 3272*m**3\/3 + 132526*m**2 + 785348*m\/3 + 391040\/3 = 0.\nAnswer: -1504, -130, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 2*w**3 - 28*w**2 + 28*w**2 to i + s*w**3 + l*w + g*w**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*r + 579*r - 1089*r + 5 to the form q + u*r and give u.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7675343 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -5*j - 25, 5*u - 3 - 20 = 4*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 102800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 3*b + 15. Let d be u(-5). Suppose -5*o + 2244 = -l, -d*l + 0*l - 20 = 0. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13722 (base 15) to base 3.\nAnswer: 10011112112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 7:44 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 8*t + 1708. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(242) + -3 + sqrt(242) + (sqrt(242) + sqrt(242)*-1 - sqrt(242))*3 + 1 + (sqrt(242) - sqrt(242)*1)**2 + 2.\nAnswer: -44*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 - 5*z - 10. Let o be y(7). Round o to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k*k\/k**2)))\/(k\/k**6))**(-1\/3) assuming k is positive.\nAnswer: 1\/k","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1802\/3 - 602. Let g = 4 - 3.95. Let u = g + 1.95. Sort u, 2\/11, s.\nAnswer: s, 2\/11, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-10) - (54\/(-30) - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q**2 - q - 1. What is the tens digit of y(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let y = d + -2.4. Let l = -3451970 - -3451965. What is the nearest to -4 in l, y, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0.5. Let i = 0.1 + 0. Let l = 143 + -144. Which is the closest to l? (a) z (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/18)\/(176\/24).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -143*p**3 + 75*p**3 - 183*p**3.\nAnswer: -251*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 904 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15886 and 141?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 + 8 - 13)*(-2*c + 3 - 3)*(3*c**3 + 0*c**3 - 5*c**3)*(0 - 1 - 6) to the form j*c**2 + f*c + b + g*c**3 + k*c**4 and give k.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14718 (base 10) in base 16?\nAnswer: 397e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 y when four letters picked without replacement from ynnnnnnynnnnnnnnnnnn.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -11*h**6\/30 + h**5\/6 - 12*h**2. Find the third derivative of t(s) wrt s.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -5\/20232, 2 in decreasing order.\nAnswer: 15, 2, -5\/20232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/264 and -11\/5618?\nAnswer: 741576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 2 = -4*l, -4*u = 2*l + 3*l - 35. Let s = u + -5. Suppose 840000 = -s*w + w. What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 14670?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + -1?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -41.3 + 41.7. Which is the nearest to 4? (a) -16 (b) 2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5069 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 6:42 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7625701309 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/123, 17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yicty. What is prob of sequence yyt?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/3 - 1)\/((-3)\/4). Solve c*t + p - 9 = 0, -2*t - p = -0*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188011013 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11\/((-1)\/(2 + -3)). Suppose 0 = 4*y + 5*j - 24, 3*y + j - 17 = -3*j. What is the greatest common factor of y and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 24.1438645.\nAnswer: 24.1438645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*m**2 - 240086*m + 120039*m + 120043*m.\nAnswer: -208*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - -1 - 9) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -89173\/1236 < -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from dxdxdxdxxx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1407, 1561, 1715?\nAnswer: 1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -29 - 4748*i + 13 + 4729*i. Let p = -25 - -18. Is 21 a factor of m(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 5*b = 3*r + 531, -187 = r + 4*b. Let w = -172 - r. Let o = 14 - 12. Solve -5*x - w*l = 11, -5*x - 2*l = o*l + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aasssss. Give prob of picking 3 s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1157 less than -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1653?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 2*i - 19, -n - 12 = i - 4*i. Suppose i*b + 2*w - 111 = 3*w, -b - 4*w = -39. What is the remainder when b is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 515944 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (66 - (1 - 1)). Let v be -4*4\/m*-4. Let p be 0 + v - 20\/(-12). What is the smallest value in 0.6, p, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54636251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/25, 2, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of y**3\/3 - 2*y**2 + 3*y + 2. Suppose 0*l = l - 5. Is i(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -6, p = 3*p + 5*o - 6461. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66880, -133779, -200678, -267577?\nAnswer: -334476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 43?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0118 + -39.1118. Let z = p + 1.1. Let v = 38.071 + z. Round v to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*h**2*y**2 - 157*h*y + 4328*y**2 wrt h.\nAnswer: 32*h*y**2 - 157*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 r, and 1 x when three letters picked without replacement from qxmvr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 396 + -185. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16)**(-11) assuming a is positive.\nAnswer: a**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15.7? (a) -1\/2 (b) -7 (c) -8 (d) -2\/5 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120048273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.16 in -0.3, -8, -175, 2, -4\/37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of -3*f**5\/5 + f**4\/12 - f**3\/6 + 2*f. Let h be (-14)\/(-49) + 57\/21 + -2. Determine k(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16944198, -33888400, -50832604, -67776810, -84721018, -101665228?\n\"Answer: -n**2 - 16944199*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (3 + (-3)\/(-4))*6\/(-9) and -71\/75.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 2.004.\nAnswer: 6.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1567006538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -h**7\/105 - 27*h**5\/20 + 39*h**4\/8 - h**2 + 515. Find the second derivative of y(x) wrt x.\nAnswer: -24*x**2 - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*l - 11 = 0, 3*t + t + 2*l - 2 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-3 + 1) - 6 - (-2 - 12)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**3 + d**2 - 4*d. Let c(t) = 7*t**3 + t**2 - 8*t - 3. Let l(b) = -c(b) + f(b). Let u = -8 + 6. What is l(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 56068 from 10673.3285.\nAnswer: -45394.6715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314*i**5\/9 - 42700*i**4\/9 - 532258*i**3\/3 - 8942468*i**2\/9 + 42556928*i\/9 - 180224\/3 = 0. What is i?\nAnswer: -64, -11, 2\/157, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.636 + -2.136. What is the nearest to -6 in c, -3\/2, 0.13?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, 5, 4 in descending order.\nAnswer: 5, 4, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 16*f + 31. Let i = -5631 - -5645. Give l(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 m when three letters picked without replacement from rcazdrdmdrdrarzcr?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38173079 to the nearest integer?\nAnswer: 6178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 - (111 - (60 - 5))?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -18. List the prime factors of (-2)\/(3*i\/(-141)).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6005 and -0.2.\nAnswer: 6004.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 17*d - 424. Give j(72).\nAnswer: 800","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 12 = z, 0 = -2*z + 4*u - 3 + 9. Let w(x) = -x**2 + 4*x + 3. What is the remainder when z is divided by w(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.18288 and 1247305928?\nAnswer: 1247305927.81712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - (-940)\/60)*(15\/3 - 2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 6*j**2 + 4*j - 1. Let r be h(-5). Let l(y) = -3*y**2 + r*y**2 + 0*y**2. Let d(w) be the first derivative of -w**2 - 1. Determine l(d(q)).\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 48*l + 475. Give b(15).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -97.7 - -11.4\nAnswer: -86.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*q**3 + 495*q - 40*q**3 - 45*q**3 - 318*q + 199*q to b*q + l*q**3 + o*q**2 + m and give b.\nAnswer: 376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-40)\/(-8))*10\/2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 4 (c) -0.4 (d) 0.22 (e) -2 (f) -1\/2 (g) -0.21\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*g - 7420 = -319*g. Let f be (-2)\/((-6)\/3)*268. Let m = g - f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 7 = v - 1, 40 = 5*v + 5*k. Suppose -j + 5*l = v + 15, 4*j - 4*l = -12. Solve 0 = 2*h - s + 11 - j, 5*h - 4*s + 30 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -1 + -4 + 5. Let r(z) = 26*z**2 + 2*z - 5. Is r(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 3*h - 14. Let m be x(-3). Solve 4*q - 5*b - 28 = 0, -19 - 1 = -m*q + 3*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -7 + 7 - 2*i + i. Let v(j) = 8*j**2 - 4*j. Let o(l) = -9*l**2 + 5*l. Let d(p) = -4*o(p) - 5*v(p). What is d(c(x))?\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -5*l - 4. What are the prime factors of a(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 17, -2273, 2, 4.\nAnswer: -2273, 2, 4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 51.\nAnswer: -5, -1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwkxxjxxxzjkgjjkzjgz. Give prob of picking 3 z.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -596*k + 589*k + 120113 = 0. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103168 and 116064.\nAnswer: 928512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 5*k**2 - 8*k - 5. Let s be y(-5). Let v = s - 32. Calculate the remainder when 3 is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*h**2 + 265*h + 410.\nAnswer: 5*(h + 2)*(6*h + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1145, 1138, 1131?\n\"Answer: -7*h + 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*g**5 - 74558*g**4 - 1301354*g**3 - 7685770*g**2 - 16269600*g - 5193000 = 0. Calculate g.\nAnswer: -6, -5, -5\/13, 2885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019 minus 0.14?\nAnswer: -0.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 23.971. Let j = -343.9 - -343.87133. Let y = j + i. Round y to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 42*t - 309. Let z be a(9). Which is smaller: 80 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 598.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4688 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 2*h + 4. Let d be f(6). Let c = -43 - -29. Let j = c - d. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3303*y = -435*y + 418656 for y.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-6215)\/(-330))\/(-113)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 5:21 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 28) + (-38 - -47 - (11 + -14 + 8))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3105*j**2 - 3125*j**2 + 6369*j**2 to the form p*j**2 + f*j + r and give p.\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -23*f**2 + 2*f + 11. Let n(c) = -20*c**2 + 10. Determine -6*g(o) + 7*n(o).\nAnswer: -2*o**2 - 12*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 0, -2, -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -134, -203, -270, -335?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 3. Let k(x) = 3*x**2 - 8. Let q(f) = 3*k(f) + 8*t(f). Let n(l) = -12*l**2. Determine q(n(m)).\nAnswer: 144*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 26118175?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -679.004 to the nearest integer.\nAnswer: -679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/20*4\/(-9)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625157 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 2\/21, 0.03, 2, -1, 0.\nAnswer: -1, -0.8, 0, 0.03, 2\/21, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 - 127 = -17*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39, 63, 103, 159, 231?\n\"Answer: 8*m**2 + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**7\/630 + 13*u**4\/8 + 38*u**2. Let r(j) be the second derivative of t(j). Let q(k) = 4*k. Calculate q(r(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8*h**3 - 6*h**2 - h - 6. Let f(s) = -7*s**3 - 5*s**2 - s - 5. Let i = 21 - 0. Let o be ((-6)\/7)\/(i\/147). Determine o*f(b) + 5*k(b).\nAnswer: 2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-24)\/(-32)*-6*9 and (-90)\/(-200)*15\/(-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 13993 - 7961?\nAnswer: 6032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -126.2, -2\/295, 0.3, 0.4?\nAnswer: -2\/295","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.24629 years in centuries?\nAnswer: 0.0724629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 125 = 5*p, -4*u = p + p - 90. Suppose -i - 2 = -3*k + i, -5*i + 4 = -3*k. Suppose 6*d = k*d - u. Are d and -4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -611?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*r + 4*g, 5*r = g + g + 8. Suppose r*p + 5*p - 25 = 0. Suppose p*m = -2*l + 17, -l + 5 = l + m. What is the third biggest value in -0.2, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) -2\/235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.08, -3\/23, 5092 in decreasing order.\nAnswer: 5092, 0.2, 0.08, -3\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*3\/(-3) - (-1701)\/243. Solve -u + x = 4*s, -7*s + 9*s - 10 = -4*u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63485885.\nAnswer: 5, 167, 76031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/44 and 63\/14401255.\nAnswer: 57605020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 11 = -4*m, 5*g - 3 + 12 = 2*m. Solve -m*q - 6 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y - 4. Let b(p) be the third derivative of -p**4\/24 + p**3\/6 - 19*p**2 - p. Calculate -3*b(t) - q(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 - -134. Suppose -2*t - 3*t + u = 0. What is the highest common divisor of 27 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + 1)**2*-6*-1 - ((sqrt(300) - -3*(sqrt(300) + 3)) + 3)**2)*2 + 3.\nAnswer: -6273 - 1680*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 8) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (-9 - (5 + 11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 13853?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s + 4*q = 5*s + 26, -3*s + 10 = 4*q for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -3207*r. Let m(k) = -32069*k. What is 4*m(p) - 42*q(p)?\nAnswer: 6418*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (30\/(-18))\/(1\/3). Let j be 3\/f + 10\/(-25). Is j at least 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((13\/(-52))\/((-7)\/4))\/(1\/8)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the third derivative of -1399999*h**5\/60 + h**4\/12 - 30*h**2. Let f be (3\/((-9)\/(-6)))\/(-1). Let m be y(f). Round m to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (316\/40)\/((-4)\/(-5)) and 101\/76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = 4*q + 4*v - 232, 3*v + 211 = 4*q. Suppose -8*p + q = -9. Solve h = 3*h + p for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 11*o**2 + 2*o - 10. Let w be (-11)\/4*(22 + -26). Let m be z(w). Solve 2*h - 5*s - m = 0, 12 = -5*h - s + 3*s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 49, 51, 51, 49, 45?\n\"Answer: -f**2 + 5*f + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -13*o**2. Let c(s) = 99*s**2 + 89*s**2 - 172*s**2. Determine c(x(h)).\nAnswer: 2704*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - 6. Let o be (51\/(-6))\/(2\/4). Let a = p - o. Calculate the greatest common factor of 20 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1500)*1)\/(sqrt(15)\/sqrt(48)).\nAnswer: 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 8) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 3, o: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 0. Let j = w - -0.5. Let f be 3*(-2)\/(-165)*5. What is the biggest value in f, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5100 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21040 (base 7) to base 2.\nAnswer: 1010000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/21*2508\/2024*161\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -415*f - 11556. Determine x(-24).\nAnswer: -1596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -286*a**3 + 3*a + 2. Is i(-1) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*k**5*m**2 + 2*k**5*m + 39*k*m**2 + k*m - m**2 wrt k.\nAnswer: 140*k**3*m**2 + 40*k**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a century in months?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.18103 to three decimal places.\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -735349943\/2310 - -1591667\/5. What is the common denominator of i and -19\/35?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155 + 86 - (-16 + (-15 - 0))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 17*s**2 + 10*s - 38. List the prime factors of j(6).\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 9*y**2 - 7*y - 2. Calculate the lowest common multiple of k(8) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10734667*j**2*w**2 - j**2 - 2*j*w**2 + 6*j*w - 9*w**2 - 3*w + 66 wrt j?\nAnswer: 21469334*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1662.\nAnswer: -2\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523851 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 91*o + 2. Let x(q) = 45*q + 1. Let n(a) = -2*c(a) + 5*x(a). What is n(-1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324809951.\nAnswer: 324809951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123806 and 66110.\nAnswer: 6809330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -1\/4, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 - -139. Is (g\/2)\/(18\/(-36)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38.126 + 38. Let i = x + 0.026. What is the nearest to -4 in i, 2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26.0198 + -26. Round v to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6201?\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/201, 4, 0 in descending order.\nAnswer: 4, 0, -5\/201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 64, 0, -3, 46427 in descending order.\nAnswer: 46427, 64, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*q - 19*q + 412. Suppose q = 4*r - 3*r. Does 32 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 24 = -2*t - 6, -3*t + 17 = -4*b. Let p(g) = 262*g - 646. Let c be p(15). Is (0 - b\/2)*c\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 + 9 = 0. Suppose v - 3 = 0, -4*v + 45 + 3 = j*o. Suppose -3*c = -0*c - o. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k*p**2*q - 2*k*q - 10*p**4 - 509*p**2*q - 3*p - 3683*q wrt p.\nAnswer: -6*k*q - 120*p**2 - 1018*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y - 6. Let q(u) be the third derivative of 0*u + 0 - 94*u**2 - 5\/6*u**3 + 1\/12*u**4. Suppose 6*h - 20 = h. Calculate h*j(c) - 5*q(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 7*h**2 + 271*h + 811. Give m(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 165 + 160 - 336 - o. Let f be u(-13). Solve 2*r + f*x = 10, -4*x + 4 = -5*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 c when four letters picked without replacement from llcljjcjccljlllcjl.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose -a*d + 25 = d. Let c(r) = r - 3. What is c(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25942865*r**4 + 382*r + 59251?\nAnswer: -311314380*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 6*o**2 + 5*o + 23. Determine l(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3740960?\nAnswer: 2, 5, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -500954?\nAnswer: 500953.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 * -0.2\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 94, -4.5, -0.073, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1720\/6 + (-16)\/(-24)*-1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 3*w - 5*y - 5, y = 2*w - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 13*t**2 + 21*t - 22. Let w(s) = 9*s + 66. Let n be w(-5). Is a(n) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 - -23. Let o = 0.6 + 4.4. What is the second biggest value in 1, o, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 3*v - 288, 2*l - 4610 + 4463 = -33*v for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -0*g + 2*g. Suppose -g*f - 2*m = 36, -6*f - 3*m - 21 = -4*f. Let z be (f\/72)\/((-9)\/12). Which is the biggest value? (a) -0.04 (b) 1\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 861*-5*6\/45. Let p = -2873\/5 - i. What is the third smallest value in 40, p, -5?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of -t**4\/6 - 151*t. Let r(b) = -b**2 + 5. Calculate r(j(w)).\nAnswer: -4*w**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 7*y**5\/15 + 2*y**4\/3 - 2*y**3 - y**2 + 15*y. Factor s(x).\nAnswer: 4*(x + 1)*(7*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 1\/3*b**3 - b - 19\/12*b**4 - 8*b**2 + 4. What is the second derivative of r(z) wrt z?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*v + 63988 - 63988 - 2*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*1*sqrt(150) - sqrt(150)) + sqrt(150))*-1)\/(((sqrt(132)\/sqrt(3))\/sqrt(11))\/((-2*sqrt(10))\/sqrt(5))).\nAnswer: 50*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 972787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 963.54722 * 0.1.\nAnswer: 96.354722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4 + -3*(2 + sqrt(450)))*6*-3*-1.\nAnswer: -810*sqrt(2) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 15, 13, 11, 9, 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190 in 2\/7, 3.7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-533)\/((-306475)\/150))\/((-1)\/(-46))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9037972 micrograms to nanograms.\nAnswer: 903.7972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 404156335.7 to the nearest ten thousand.\nAnswer: 404160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55185 and 60?\nAnswer: 220740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1696 and 1135488?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 + -0.1. Let d = w + 0.1. Let k = -4 - -3. What is the nearest to 2\/11 in 0.2, d, k?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 6*o**2 + 2*o + 12. Let a be l(-6). Suppose -7*z + 3*z = a. What is the units digit of (-64)\/(-16) + 2 + z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**3 - q. Let w be o(1). Suppose r = y - 1, -2*r - w*r + 2*y + 10 = 0. Suppose 0*c = -r*c + 20. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250 is divided by 127.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51907746*j**3 + 12*j**2 + 1239901?\nAnswer: -311446476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i - 2*i + 0 - 4 - 9 - 11*i**2. Let q(u) = -5*u**2 - u - 6. Give 6*m(z) - 13*q(z).\nAnswer: -z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/210800 and -123\/147560.\nAnswer: 1475600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*3*4\/(-6). Suppose -145613 = -r*g - 6369293. Let s = g - -1518640. What is s rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**3 + 31\/3*r**2 + 56\/3*r - 16\/3.\nAnswer: (r + 4)**2*(4*r - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2037 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -0*u - 12. Let f(n) = n**2 + 3*n - 3. Determine f(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2 + 4496*y + 5392. What is m(-898)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3069 less than 58290\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(768)*1)**2.\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.08546um in millimeters?\nAnswer: 0.00608546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*l - 9 - 25, -4*l = 4*g - 32. Suppose g*d = 3097 - 212. What is the hundreds digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(2\/5)\/w)\/(w*w\/(w\/w**5*w)))\/(w*w**(-1\/3)\/w)**(2\/81))**(-11\/5) assuming w is positive.\nAnswer: w**(74734\/6075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6705449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (-1)\/(-7) - -1. Let i be 2\/4*(-4 + (-18)\/(-3)). Which is smaller: i or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2055\/7 - 293. Let j = 1798 - 1798.5. What is the nearest to -1\/6 in n, -4, j, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(40\/5 - 14) - (-23)\/12?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33084658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 - -85. Suppose 4*k = 4*j - 4, 2*k + j + 29 = -3*k. Let i(q) = -2*q + 3. What is the remainder when t is divided by i(k)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -109, -115, -119, -121, -121?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 4*u - 3*u)*(85 - 93 + 201)*(-6 + 6 + 4*u) to d*u**2 + i + o*u and give d.\nAnswer: 1544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 18*k**2 - 54*k + 140. Let l be u(15). Solve -l*q + 3 = 28 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/3*(-48)\/(-32) + 3. Let l(u) = -u**3 + 16*u**2 + u - 10. Let k be l(d). Solve 2 + k = 4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9.5 - -9. What is the biggest value in 0, i, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-234)\/4)\/((-252)\/8232). What is the greatest common factor of 21 and g?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -1732*a - 1753. Determine p(-2).\nAnswer: 1711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + y + 2. Let p(r) = -r - 1. Let f(k) = -o(k) - 2*p(k). Let c be f(1). What is the second biggest value in -5, -0.04, c?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49444 divided by 263\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 47*y + 596. What is the smallest common multiple of g(-22) and 4?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23754 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ztttztttttttt. What is prob of sequence tz?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82 - -1229\/15. Let i = -30 - -179\/6. Which is the second biggest value? (a) j (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*o**2 + 60*o**2 - 2*o - o**4 wrt o?\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 18 = 2*w - 28, 0 = -4*d. What is the biggest value in -0.2, 305\/2, w, 2?\nAnswer: 305\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 816, -10, 0 in increasing order.\nAnswer: -10, -3, 0, 1, 816","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 16137573.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 92 and 8?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2786 + 0.0786. What is the nearest to 1 in n, 0.01, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-270)*(-40)\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12961 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rqrzytzrzerzreq. What is prob of sequence teyq?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r*(r*r**(1\/3)\/r*r*r*r)\/r)\/r))\/(r\/(r**(3\/11)\/r))*r*r\/(r\/r**(-1\/3)*r)*r**8)**20 assuming r is positive.\nAnswer: r**(3040\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -9*b**2 - 7*b - 6. Let p be f(-1). Sort -5, 3, p in increasing order.\nAnswer: p, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 294*v + 7203.\nAnswer: 3*(v + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 365953332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -858 divided by 33.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o + o - 2*o + (4*o + 0*o - 2*o)*(3 + 2 - 7)*(-2 - 2 + 1))*(88*o - 88*o - 26*o**3) in the form q + v*o**4 + u*o**2 + t*o**3 + r*o and give v.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -43.99 and -6.\nAnswer: -49.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1250 - -865. Let o = -384 - v. What is the closest to o in 0.2, -0.05, -4\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4 + 2. Solve -v + 6 = -n*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71\/215 - 3\/43. Let d = -68.981 - 0.019. Let y = d + 64. Put 5, o, y in ascending order.\nAnswer: y, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 22414 + 6713 = -500*x for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)*2 + sqrt(120) - -4*(sqrt(90)\/sqrt(3) - sqrt(30)))\/(sqrt(490) + (sqrt(490) - -1*(sqrt(490) - sqrt(490)*-1)) + sqrt(490)).\nAnswer: 6*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33250\/7315*(33\/(-2))\/(-3)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 4*k**2 + 14 - 13 - 7*k. Let t be l(-7). Is -1\/14 less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31955617*i**3 + 30362362.\nAnswer: 95866851*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-3\/16))**(-1\/10) assuming j is positive.\nAnswer: j**(-7\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -779*y + 789*y - 500. What is the lowest common multiple of 300 and y?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63290000 rounded to the nearest 1000000?\nAnswer: 63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60214768 to the nearest integer?\nAnswer: 7760","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.4 less than 21296950532?\nAnswer: 21296950551.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by (-16)\/(-120) - (-1884)\/45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:19 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 10?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 1104*l**2 - 83316*l + 1910120.\nAnswer: -4*(l - 170)*(l - 53)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 15*d**5\/7 - 132*d**4\/7 + 366*d**3\/7 - 456*d**2\/7 + 267*d\/7 - 60\/7 = 0.\nAnswer: 4\/5, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45*(-26)\/(-468) - ((-581)\/(-98) + -8)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -2.0817531035?\nAnswer: -1.9182468965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -6509, -6518, -6531, -6548?\n\"Answer: -2*c**2 - 3*c - 6504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 388 + -198. Let l = -432 - -448. What is the remainder when k is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 a when two letters picked without replacement from ndanwmmy.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 5*m**4\/24 - 61*m**3\/2 - 109*m**2. Let s be l(36). What is the second smallest value in 4\/9, s, -2, -5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = w. Which is smaller: w or 2\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-286)\/(-110) + (-3 - 34\/(-10)) + (-377)\/91?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i - 19. Let u be r(13). Let a be (3 - -3)*4\/8. What is the second derivative of v + a*v**4 + 15*v + 13*v - u*v wrt v?\nAnswer: 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -917 + 454 + 326*x + 463 to c + a*x and give a.\nAnswer: 326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2030 - 1123. Suppose -3*z + 1200 = 4*x - 7*z, 3*x + 4*z = r. What are the prime factors of x?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 1. Let z(w) = -3*w - 4. Let p(v) = 3*j(v) + z(v). Let f(n) = -6*n - 1. Let d(x) = 6*f(x) - 13*p(x). Differentiate d(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6.23 + 0.23. Which is the second biggest value? (a) 0.5 (b) i (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151882251*b**5 - 2670600*b**2 + 11*b.\nAnswer: -9112935060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -658 <= -658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 542 and (-32)\/36*((-414)\/36 - -7)?\nAnswer: 1084","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 7 = 5*r, -3*r + 655 - 649 = 4*o. Sort -7, -2, o, 108, 1.\nAnswer: -7, -2, 1, o, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -1188*t + 49962. Give m(44).\nAnswer: -2310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84640000 rounded to the nearest one million?\nAnswer: -85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04927, 0.28, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13490 is divided by 859?\nAnswer: 605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + y + 1. Let l(j) = 0 - 7*j - j + 2. Let o be (-7)\/(56\/(-12)) - (-1)\/2. Let k(z) = o*s(z) + l(z). Determine g, given that k(g) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42507928*f**4 - 51795295*f**2.\nAnswer: 1020190272*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let z(b) = 10*b**2 - 7*b - 7. Let m(g) be the second derivative of -3*g**4\/4 + g**3 + 3*g**2 - 2*g. Let t(f) = -7*m(f) - 6*z(f). What is q(t(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*q**3 + 2)*(-11*q - 3*q + 10*q)*(6*q - 3*q - q) - q**5 - 4*q**5 + 3*q**5.\nAnswer: 22*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xky when three letters picked without replacement from {x: 2, y: 4, k: 1, s: 8}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*w**4 - 4\/5*w**3 + 0 - 1\/5*w**2 + 4\/5*w.\nAnswer: w*(w - 4)*(w - 1)*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 6*a - 8. Let j be d(7). Let p = -3 + j. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-63 + 62 - (-4 - 0))) + 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 561\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10938104*j**2 + 10938091*j**2 - 2*j - j.\nAnswer: -13*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/10 and -97\/292?\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5 + 0. Let d(k) = k**2 - 4*k - 5. Let y be d(4). Sort 2\/9, l, y in increasing order.\nAnswer: y, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1599 (b) 1 (c) -3\/5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {h: 4, j: 5, w: 1, x: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28553.689 + -1140.779. Let p = -27355.90988 + o. Let r = -57 + p. What is r rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84514597753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225582099?\nAnswer: 3, 67, 127, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -6*t**5\/5 + t - 8. What is the first derivative of x(g) wrt g?\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2. Suppose -2 - 163 = 3*n. Let t be -6*(n\/10 - -4). Let y(p) = -t + 4*p + 4 + 5. Give d(y(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -30024 - 5?\nAnswer: -30032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**4 + 32*i**3 + 84*i**2 + 72*i.\nAnswer: 4*i*(i + 2)*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163445*q - 1 + 1 + 163441*q.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 - 6*p**2 - p**2 + (-6 + 2 + 3)*(p**2 + 2*p - 2*p).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**3 - 5*x**2 - 27. Let h(a) = 22*a**3 - 16*a**2 - 82. Determine -5*h(p) + 16*z(p).\nAnswer: 2*p**3 - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 73403, 73407, 73411, 73415, 73419, 73423?\n\"Answer: 4*s + 73399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Factor 0*b**2 + b**3 - b**2 + t*b**2.\nAnswer: b**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -51, -72 in ascending order.\nAnswer: -72, -51, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - 12. Let b(j) = -5*j. What is the remainder when b(p) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2612.6*4.\nAnswer: 10450.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*y - 2*y. Let u = y - -54. List the prime factors of u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q + 2. Let m(r) = 1. Let z be ((-1)\/2)\/(1\/(-24)). Suppose f - z = -2*f. Let w = -2 + f. Calculate w*m(j) - h(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = a + 83. Let n = 6 + 3. What is the remainder when a is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 + 4*d**2 + d - 4. Let q = -39 - -43. Let a be (q - 2)\/(1\/(-2)). Let i(k) = k**3 - k**2 + 1. Give a*i(w) - y(w).\nAnswer: 2*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(40)\/sqrt(4)))\/sqrt(7) + (sqrt(18)\/(sqrt(6) - sqrt(24)) - -6*-1*sqrt(3)).\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 - 164*u**2 - 4*u. Let v(a) = 12*a**3 - 328*a**2 - 9*a. Determine 9*f(j) - 4*v(j).\nAnswer: -3*j**3 - 164*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 3*f - 28. Let h be q(-23). Round h to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 19 + (7 - 35) - -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 1\/2*t**5 - 5*t + 0*t**4 + t**3 + 0*t**2 + 0. What is the second derivative of x(p) wrt p?\nAnswer: 60*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40 - 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43*(-5017)\/(-14878)*(-24)\/754.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21332 - 1642604\/77. Find the common denominator of 882\/(-20) - (-4)\/(-10) and a.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 41*n**2 - 28*n + 203. Calculate b(15).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 + 36*s. Let n(l) = -433*l - 340. Give n(a(v)).\nAnswer: 866*v**2 - 15588*v - 340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (-9 + 2 + 0 - (6 - 4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2130 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from myymyymmmmyy.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 16) to base 15.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (595\/14)\/(2\/2) and 7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (1 + 3) - 36.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1428\/72 + (-1)\/3. Let z = f + -20. Find the common denominator of z and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-15) - 7\/(-35))\/(((-504)\/6420)\/21)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41024 + -13?\nAnswer: 41011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (1 - (-3 + (14 - 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 38 - 42 = -u, 253*b = 253*b + 7*u - u - 72 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -295*l**5 + 2*l**3 - 235*l**2 wrt l?\nAnswer: -17700*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 7) + 44 + 12 + (17 - 33) - 0.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 7 = -3*u. Suppose 0 = -4*q - 5*d + 23 - u, -8 = -2*q - 5*d. Solve 2 - 10 = -q*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t. Let f(m) = 0*m + 11 - 12*m + 12 - 27. Let r(h) = -f(h) + 6*l(h). Determine r(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/1750392 and 41\/2520.\nAnswer: 8751960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 19. Suppose 5 = -6*x + x. What is the units digit of -1*(0 - k) + x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of 0*r + 16*r**2 + r**3 + 1\/12*r**4 + 0 + 1\/60*r**5. Let c be a(0). Is c at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -168550085, 3, 0.5 in descending order.\nAnswer: 3, 0.5, -168550085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2 (c) -2 (d) 0.3 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*o + 120 = -46*o - 9*o. Which is the biggest value? (a) 3\/4 (b) o (c) -31 (d) 5 (e) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -224*m - 1412. Determine f(-7).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.19 (b) -5 (c) 0.3 (d) 2\/11 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/21)*w**25*w**1\/(w**15*w) assuming w is positive.\nAnswer: w**(208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 705477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/2409 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-9) + (-1994)\/(-18). List the prime factors of (1 - w\/(-3)) + 3.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 743*r - 5221. Let l be y(7). Let k = -0.09 + -0.71. Let c = 0.4 + k. What is the second biggest value in 0.5, c, l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = 9*h - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32\/(-80)*(-115)\/6 + 18\/(-27)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 + 593*h**2\/4 + 590*h + 589.\nAnswer: (h + 2)**2*(h + 589)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02 - -0.08. What is the nearest to 2 in -2, d, -1\/6?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236 = -45*x + 285 + 1256 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**5\/10 - 7*v**4\/24 - 25*v**3\/6 + v**2 - v. Find the first derivative of c(z) wrt z.\nAnswer: -12*z - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/1737 and -115\/36.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/(d*d**(1\/11))*d*d)\/d)\/d*d*d)\/(d*d\/(d**(1\/4)\/d*d*d)*d) assuming d is positive.\nAnswer: d**(51\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a + a + a + 0*a.\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.1 - -1.1. Let i(r) = r**3 + 9. Let v be i(0). Suppose -11 = 4*j + v. What is the nearest to n in -1\/5, -0.5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(-2 + sqrt(99)))**2*-3.\nAnswer: -313 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.78573 and -0.1.\nAnswer: 0.078573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 12:25 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000009082 rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 + -75. Is 17 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -85, -187, -331, -517, -745?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943278*q**2 - 1073713*q**2 - 2723448*q**2.\nAnswer: -2853883*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 3102 = -16*m. Suppose 0 = 4*r - 4*h - 0*h - 1400, 3*r + 5*h - m = 0. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (61 + (19 - ((-4 - -12) + 2)) + -14).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14178258*g**6 - 13*g**3 + 3*g**2 - 13545528*g wrt g?\nAnswer: -1701390960*g**3 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/98*(-1)\/5*(-15)\/5.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 6790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) + -1 + (sqrt(637) - (-1 + sqrt(637) - sqrt(637) - sqrt(637))))**2 - (0 + sqrt(52) + -1 + sqrt(52) + sqrt(52) - sqrt(52))**2)*-6.\nAnswer: -33144 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3178, 1545, 1, -1 in descending order.\nAnswer: 3178, 1545, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 27381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053) + 5 + -4 - (-1 + sqrt(1053) + -3) - 4*(sqrt(1053) + -2 + 4 - 4*(sqrt(1053) + (sqrt(1053)*2)**2)).\nAnswer: 108*sqrt(13) + 67389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -5, -7, -3, 1, -10 in ascending order.\nAnswer: -13, -10, -7, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*w + 84*w - 124 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p + 1451 = 1491 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 2*n - 4. Let t be z(-6). Let x be (4\/(-5))\/(7 + (-1260)\/175). Solve -x*y - t + 8 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100.331517 + 100.247. Round q to three decimal places.\nAnswer: -0.085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -19*i + 53. Let o(q) = -90*q + 250. Let b(u) = -18*o(u) + 85*s(u). Let f(c) = 5*c + 6. Suppose 5*j - 6 = 4*j. Give j*b(k) - 5*f(k).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -1\/6 (c) 6 (d) -4 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 385 and 2266 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, i: 2, s: 10, l: 5, f: 2}. What is prob of sequence fli?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -53, -16, 37, 106, 191, 292?\nAnswer: 409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 227746\/335 or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40804916 - -0.04.\nAnswer: 40804916.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/620 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, l: 4, t: 3, s: 3}. What is prob of sequence thsl?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157*c + 861766*c**3 + 215*c**5 - 861766*c**3 wrt c.\nAnswer: 4300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 153.873753 + 16.121617. Let y = 170 - q. Round y to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3663\/28 > -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12.0185 - 2.\nAnswer: 10.0185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -23. Let b = -2 - -5. Solve v*f = 5*n + 3*f, b*n + f = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/11166889 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 26 = 7*y - 12*y - 4*i, -18*i - 3 = -6*i - 13*i + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (276\/(-322))\/((-102)\/119)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 + 52. Let z = y - -47.4. Which is the third smallest value? (a) -11 (b) 1 (c) -1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3542 and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 12. Give q(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-1 + -3 + ((sqrt(162) + sqrt(162)*1)\/sqrt(6))\/(2*sqrt(576))).\nAnswer: -5*sqrt(3)\/8 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -159 or -142?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 90 = s. Suppose -81 - s = -3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**47\/(t**(4\/5)\/t**2)*(t**0*(t*t**(-3))\/t)\/(t**1*t**3) assuming t is positive.\nAnswer: t**(206\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a micrometer in nanometers?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20590 is divided by 1299?\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171346843 to the nearest integer?\nAnswer: 13090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1523\/8, 3\/7, -0.1123?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 50 = -14*r. Solve 2*q + 2*q = 8, -s = r*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 57 + t + 8*t - 45 wrt t?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 35?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 325379924 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + (-279180)\/(-21))\/(75\/52500). Round o to the nearest one hundred thousand.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**3 - 3*f**2 - 5*f - 10. What is the units digit of r(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, b: 1, w: 1, t: 1, c: 2, r: 2}. Give prob of picking 1 w and 1 r.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 6\/8*13\/78\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 615 + 511 = 4*j, 0 = -j + 8*r - 53 for j.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 - 41. Let m = 49 - c. Let k(a) = -a - 1. Let q(x) = -4*x - 3. Calculate m*q(s) + 2*k(s).\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 - 1)) + 0 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4659624987109 from 0.05.\nAnswer: 4659624987109.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.8 and 23.\nAnswer: 478.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9760427510 - 6834*u - 9760427510.\nAnswer: -6834*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 = 7*o - 424. Suppose 0 = 4*a + 4*k - 9*k + 93, 0 = 3*k + 9. Which is bigger: o or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*r - 4*p, 3*p = -22*r + 25*r - 27. Suppose 15 = 3*u, -7*u + r*u = 3*x - 1373. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101427 is divided by 78.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 91586 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, w: 1, h: 4, z: 1}. What is prob of picking 1 z and 2 l?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1899 + 1902. Let r(v) = -11*v - 4. What is r(c)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2 - 22*v - 24. Let b be l(12). Suppose 44 = 4*g + 4*h, 4*g + b*h = h + 49. What is the common denominator of 23\/15 and (-20)\/(-30) - (-15)\/g?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r + 6. Suppose -5*x + 15 = 0, 28*t - x = 29*t + 1. Let p(c) = -2*c - 2. Let g(v) = t*s(v) - 9*p(v). Let a(z) = 1. Calculate -4*a(w) - g(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108 + 114. Suppose 9*o = 11*o - n*o. Suppose j - 5*d - 33000 = o, -j = 2*j + 3*d - 99000. Round j to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(-4)\/(-6)*3. Suppose 3*j = 23 + v. Calculate the highest common divisor of 45 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-4) + 345\/20 + -17)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6 + 14 = 0, 4 - 3 = -l + c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6822, -6835, -6848?\n\"Answer: -13*z - 6809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 23 = t, 4*t + 35 = -t + 4*q. Let g(x) = -x**3 - 4*x**2 - 4*x + 1. Calculate the smallest common multiple of 3002\/76 - (-2)\/4 and g(t).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**2 + 6*f - 4. Let o(i) = -i**2 + 2*i - 1. Let u(j) = 2*h(j) - 7*o(j). Let v be u(5). Round v to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 0*l**2 - l**2)*(0*l - 2*l - l - 1).\nAnswer: -3*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 16092397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -23. Suppose -p = 2*p + 18. Are p and b nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2066 - -6255?\nAnswer: 10343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*o = 3, 0*o - 4*o = 1776*r - 1775*r + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -10*p - 44 + 4*p**2 + 22 - 3*p**2 + 30. Suppose 0*b = -b + 9. What is the smallest common multiple of b and y(10)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 24*d = -10, -4*d - 328 = -4*n. Suppose 0 = 5*h + 68 - 8. Let l be h\/(-5)*(-40)\/(-3). Calculate the greatest common factor of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcr when three letters picked without replacement from rmrmcfeferrr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, d: 1, f: 1, c: 1, m: 1}. Give prob of sequence cdfm.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1))**32)**(-9\/8)\/(((s*(s*s*s**1)\/s)\/s)**(-37)*s**(-2)*s*s*s*s**4*s*s*s*s) assuming s is positive.\nAnswer: s**101","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35461*m - 89550?\nAnswer: -35461","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 - 1558\/7. Let b be 8\/(-21)*39\/52. Sort b, -0.4, l in increasing order.\nAnswer: l, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 14) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 2*z + 2. Let q be m(-3). Let b(j) = 134*j - 17. Let s(p) = -55*p + 8. Let g(r) = 2*b(r) + 5*s(r). Let n(h) = h - 1. Give q*g(w) - 5*n(w).\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 5. Let x be 0 + 1 - (d + 3). Let z(a) = a**2 + 2*a**2 - a**2 - 3 + 2*a - 3*a**x + a**3. Calculate z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.17 + 0.17. Let z be 1\/(-2) + (-60)\/(-216). Let n = -4 + 3. What is the second biggest value in z, n, a?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 81663 + -141322. Let o = -38329 - d. Round o to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -485 - -16977\/35. Let c(n) be the first derivative of 1\/7*n**4 + 0*n**3 + o*n**5 - 2\/7*n - 2\/7*n**2 + 3. Factor c(x).\nAnswer: 2*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 169? (a) 0 (b) -0.4 (c) 0.05 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 131082823667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77714 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11))**(-3\/28)\/((q*q\/q**(1\/3))\/q)**(-10))**39 assuming q is positive.\nAnswer: q**(40157\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 4*s - 1. Let j(o) = -o**2 + 7*o - 5. Let h be j(5). Let y be f(h). Is (-212)\/y*60\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 2, i: 1, p: 7, j: 1, r: 2}. What is prob of sequence jpi?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -395 divided by 3.\nAnswer: -395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -15 - 10. Let n = 5\/2 + -13\/6. Let w = -1\/78 + -149\/546. What is the closest to 0.2 in y, n, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.7 + 6.8. Let g(z) = z**2 + 2*z + 3. Let s be g(-4). Suppose -2*k - k + 9 = 0, -2*k = 5*q - s. Which is the nearest to q? (a) -0.4 (b) l (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5671 and 10547.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 60*u**2 + 59*u + 72. Calculate x(61).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 186\/216 - (-1)\/(-9) - 0\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -360.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -14*s**4\/3 - 3198*s**3 - 427924*s**2\/3 - 1182688*s + 918720 = 0.\nAnswer: -638, -36, -12, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 15\/2*c**3 + 3\/2*c**4 + 0 - 3*c**2 - 7\/180*c**6 + 0*c + 61\/60*c**5. Let i(t) be the first derivative of x(t). Factor i(s).\nAnswer: -2*(s - 9)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 614116*v**2 + 169*v + 724610535 wrt v?\nAnswer: 1228232*v + 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -115*u + 87*u + 280. Calculate the lowest common multiple of 1460 and u.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - 4*v**2 - 3*v - 3. Let n be o(-3). Let g be 0 + 2 + (-4 - n). Let p = 1 - 3. Sort g, 4, p in ascending order.\nAnswer: p, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 4896.\nAnswer: 4896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -31, 0, 4, 3 in descending order.\nAnswer: 4, 3, 0, -3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 90.87498\nAnswer: 93.87498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + (-42 + 1)\/(17\/(-10540)) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k. Suppose 5*p - 2 - 18 = 0. Let n(m) = 3 - m**2 - p + 4 + 5*m**2. Let s(w) = 3*w**2 + 2. Let o(j) = -2*n(j) + 3*s(j). Calculate o(u(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10899*u - 1752 = -10911*u. What is the least common multiple of 16 and u?\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90593.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + d**2 + (1 - d**2 - 1)*(-1 - 2 + 1) + 462*d**2 + 47127*d - 47127*d in the form j*d + x*d**2 + h and give x.\nAnswer: 465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/2 + 9 + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16738 - -16766. Solve -504 = 35*p + s*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1640 = -16*j + 11*j. List the prime factors of j.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -30 and -589711.\nAnswer: 17691330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1180 = 10*t - 8*t. Suppose g - t = -g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 4225*x + 10007730.\nAnswer: -5*(x - 1054)*(x + 1899)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4720 - 1549. What is the remainder when i is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126073769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41 - 13 - 24)*(15 + 19 - 23)*(2*g + 0*g - 3*g)*((-g + g + 3*g)*(-1 + 2 - 2) + 4*g - g - g).\nAnswer: -858*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from bfffffbffnnf.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 2\/7, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, 4, -4, 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n + 128 = -4 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 0 = c + 22, -3*c + 251*s - 2 = 255*s for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2336670?\nAnswer: 2, 3, 5, 7, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009271592 to 7 decimal places.\nAnswer: 0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 49992 divided by -6?\nAnswer: -8332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 307324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - 1 + 1 + (f - f - f)*(5 - 1 - 3) + 0*f + 4*f + f + (-2*f - f + 2*f)*(-2 + 11 + 4).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 104621611*v**6 + 79*v**2 + 577395 wrt v?\nAnswer: 12554593320*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -103 - -351. Let h = s + 50. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 49*v**2 + 9*v + 4. Let q(z) = -50*z**2 - 10*z - 5. Determine 4*q(h) + 5*x(h).\nAnswer: 45*h**2 + 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 = -9. Let p(m) = 3*m - 25. What is the remainder when 19 is divided by p(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 25. Let p be s(-9). Solve -l = -p*l - o - 4, 2*o = 5*l + 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**4 + 9*z**3 + 7*z**2 + 3*z - 8. Let v(h) = h**4 + 4*h**3 + 3*h**2 + 2*h - 4. Let a(n) = 6*m(n) - 13*v(n). Find w, given that a(w) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003621 to seven decimal places.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -234 or -12\/17?\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -1. Let c = -1622\/3 + 3241\/6. Let i = -9\/2 + 31\/6. What is the third biggest value in i, c, o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-18)\/15)\/(2\/(-10)). Let q be (-15)\/x*(0 + -2). Let y be 7\/7 + 3*1. What is the nearest to -0.1 in -4, y, q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -162*v**5 + 16430*v**2 - 16430*v**2 + (v**4 - v**3 + v**3)*(-2 + 2 - 2*v).\nAnswer: -164*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/((-208)\/(-1274))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from cuqbbuqcc?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9627241 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1214 + 1227. Which is the smallest value? (a) o (b) 3\/2 (c) 1\/14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5159, 10328, 15499, 20672?\nAnswer: 25847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -426, -836, -1224, -1578, -1886?\nAnswer: -2136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(-45)*3\/(-2). Solve -4*x - 18 = -5*d - 6, -g*d - 3 = x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 12:20 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -101, -205, -313, -425, -541?\n\"Answer: -2*m**2 - 98*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56070 = 3*p + 2*j, -5*j = -1575 + 1605. What are the prime factors of p?\nAnswer: 2, 13, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11566118?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:45 AM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 95 - 78. Suppose -1557 = -c*l + 1061. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -60.37 and 11964744414.\nAnswer: 11964744353.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -52*z**3 + 196 + 65*z**3 - 56*z**4 + 55*z**4 wrt z?\nAnswer: -4*z**3 + 39*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166832 a multiple of 246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15120 and 2625.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*a - 30*a - 108 = 0. Let v be 11 + (-1*2 - 0). Calculate the greatest common factor of v and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4047 a factor of 203518804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -15774539?\nAnswer: 4\/15774539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3852*u**3 + 3841*u**3 + 378*u - 378*u.\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 98, 689, 2262, 5309, 10322, 17793?\n\"Answer: 82*q**3 - q**2 + 20*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -651.9 * 2\nAnswer: -1303.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -158. Let v be (l\/136)\/((-1)\/8). Solve 1 - 4 = 2*n - v*c, -2*n + 5*c = 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*z = 7, -a - a - 1 = -z. Is 800\/a - (-1)\/(-4)*4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 504384293?\nAnswer: 7, 263, 39139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and -1724051291.\nAnswer: -1724051287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 493613.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 275823907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3312725738 to the power of 1\/2, to the nearest integer?\nAnswer: 57556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 + 0 + -2). Let d(q) = 212*q**2 - 2. What is the least common multiple of 10 and d(l)?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**4 - 600*h**2.\nAnswer: 1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(35)\/(-2*sqrt(7)) + sqrt(5)))\/(-2*sqrt(12)\/sqrt(2) - sqrt(150)*1)*5.\nAnswer: -10*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*1*sqrt(99))\/(sqrt(108)\/(sqrt(24)\/sqrt(2))).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9411 is divided by 2337.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 7:28 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110111 (base 2) to base 9.\nAnswer: -304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1114*n**3 - n**2 - 1119*n**3 + 3 to the form j + g*n**3 + p*n + k*n**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.3 - -1.356. Let g = b - -6.144. Let z = g + -6.200148. Round z to 5 decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and -5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wrroggrgoggrrgwrrrr. Give prob of picking 2 o.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-10))\/((-4)\/(-2)*1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62171619 is divided by 334256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48290292 by -5.\nAnswer: 48290292\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 20720832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 110*p**4 - 2*p**2 - 4 + 9*p - 38*p**4 - 37*p**4 - p**3 - 38*p**4 to the form u + f*p**2 + i*p**3 + j*p + l*p**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915718 and 2951?\nAnswer: 11904334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d - 2. Let n be h(-2). Suppose 6*b - 1 - 17 = 0. Let f be (-7)\/(357\/48) - b\/(-3). Is n equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 76.3 - 76. Let o be (-2 + (-23)\/(-12))\/(325\/40). Sort -2\/7, -2, t, o.\nAnswer: -2, -2\/7, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-208)\/6*(-2)\/(10 - (-798)\/(-63))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -126. Suppose -3*a - 14 = -d. Suppose a = -2*k - k - 5*h, 0 = -k - h. Solve k*s - 3*q = 2, -s - 2*q + 1 + 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -10. What is the remainder when 28 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - i = 11, -4*i + 5*i - 1 = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c**2 - c**3 + 5*c**3 - 3*c**3 + 0*c**2 to u*c**2 + a*c + v + x*c**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/71 (b) -0.7 (c) -5 (d) 0 (e) 0.5 (f) -4 (g) -173\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 36 = 5*g, -j - 8 = -0*g - 3*g. Suppose -3*p = -4*p - 1, -2*p + 250 = j*w. Calculate the greatest common divisor of 9 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 37*x**2 + x. What is the tens digit of i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 v when two letters picked without replacement from {j: 3, v: 3, k: 3, x: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a930 (base 11) in base 13?\nAnswer: 412aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 - 10*v**3 + v**3.\nAnswer: -4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -11 - (0 + 5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056181000 rounded to the nearest one million?\nAnswer: 1056000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-14) - (-122704)\/(-126). Let y = 1251 + -273. Let p = y + m. Find the common denominator of p and 59\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + y + 2. Let s be u(0). Suppose 2*j = 5*g - 2 - 5, s*g + 3 = -5*j. Let o be (-2 + 0 + 2)*g. Sort o, 4, 2.\nAnswer: o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1040828642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:28 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**3 - 2*q**3 + 13*q**3 - 4*q**3.\nAnswer: 20*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7474830 + 2?\nAnswer: -7474827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/11261494 and 85\/5210542.\nAnswer: 349106314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m - 4*m - m**3)*(-2*m**2 - m**2 + 5*m**2) + m**2 - 2*m**2 - m**5 + 0*m**5 + (2*m**3 - 2*m**3 - m**4)*(1 - 1 + m) + 48*m**5 + 45*m**5 + 7*m**5.\nAnswer: 96*m**5 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = 3*l, 5*l = -3*c - 20. Let n = c - -18. Calculate the greatest common factor of 91 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 248\/56) + (-2 - -1)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 9*i + 39. Let x(w) = -11*w - 49. Let j(u) = 6*b(u) + 5*x(u). Let d(t) = 3*t + 27. Determine -5*d(h) - 12*j(h).\nAnswer: -3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -409*j**3 - 1282*j - 16. Let d(p) = -273*p**3 - 854*p - 10. Let u(b) = 8*d(b) - 5*z(b). Find the second derivative of u(x) wrt x.\nAnswer: -834*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 481 - 477. Let k be (v\/6)\/(7\/63). Sort -5, k, 2, 3 in increasing order.\nAnswer: -5, 2, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18083\/2 - -8773. Let t = 220 + c. Calculate the common denominator of ((-513)\/24)\/((-12)\/16) and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/32243 and 26\/1697.\nAnswer: 32243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7 + -3.7. Let p = u + 6. Let x = 15 + -11. Which is the third biggest value? (a) p (b) x (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4) - (-4)\/16. Let j = -11 + 6. Let y = -471505 + 471501. Sort j, y, n in ascending order.\nAnswer: j, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 36*t**3\/7 - 2479294*t**2\/7 + 688686*t\/7 + 275476\/7 = 0.\nAnswer: -2\/9, 1\/2, 68869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 20958?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (21 - -4) + (-168 - -151)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 144 and 396?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2533939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (14\/294)\/((-1)\/6). What is the third smallest value in 1, -2\/15, d, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -170*g**2 + 9 + 7 + g**4 - 2*g**3 + 172*g**2 - 3*g + g**4 to the form h*g + c*g**2 + z*g**3 + b*g**4 + w and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14909737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/60)\/(3\/(-8)))\/((-290)\/66555)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 s when four letters picked without replacement from isisrisrsssis.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77\/5 of a meter?\nAnswer: 1540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 701750 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/27 + 1\/(-3). Sort w, 2, 18\/5 in decreasing order.\nAnswer: 18\/5, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 - -69. Let u = -16 - -25. Let w be 0 + u\/3 - 3. Which is the closest to r? (a) -1 (b) -0.04 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35 by -5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 9179 - 9179 - 1660*i in the form f + r*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 0. Let u(y) = 3*y + 1. Let h(z) = -z. Let q(l) = -2*h(l) - u(l). Let p be q(r). Let m(a) = -a**3 - 5*a**2 - 3*a - 1. Calculate m(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 9 = -5*j, -12*x + 16*x + 4*j = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 60092 in 7.2, -3, 4?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(1377) + 2))**2 + -3 + 3*sqrt(1377))*-4.\nAnswer: -22084 - 684*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 87, 1, -4\/97, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = -2*m - 3*j, -2*j = -9142*m + 9137*m - 64 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 460812089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-56)\/2))\/((-26)\/(-91))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 9:13 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2646168*4.\nAnswer: -10584672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -89110 + 3367?\nAnswer: -85854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 287201 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18810 - 14771. What is the greatest common divisor of h and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*q**4*z**2 + 284*q*z**3 + 222*z**3 wrt q?\nAnswer: 8*q**3*z**2 + 284*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/13)\/i)**(-1\/23))**(-1\/40)\/(i**2\/i**(1\/2)*(i\/(i*i**0)*i)**(-3)) assuming i is positive.\nAnswer: i**(3585\/2392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -238 (b) 149798 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**6*y*y*y**(-2\/3)\/y*y)\/(y**(-2\/5)*y*y)**(11\/3) assuming y is positive.\nAnswer: y**(22\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, p: 2}. What is prob of sequence prrp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.68 + 3.68. Let r be ((-3)\/(-978))\/(21\/12). Let p = r + -7999\/6846. Which is the closest to p? (a) -5 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3 = -3*o, -a + 13 = -4*o - 8. Let k = o - -6. Suppose 0*t + 2*t = k. Solve n + t + 0 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 3*a**2 - 4*a - 3. Let k be o(-2). What is the common denominator of (-59 + 0)*3\/k and -119\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23434 is divided by 2918.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/3)*p)\/(p*p**(-5)))**43*(p**(1\/3)*p*p**(-4\/5))\/(((p\/p**(2\/5)*p)\/p)\/(p\/(p\/(p**1\/p)))) assuming p is positive.\nAnswer: p**(4084\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 332629925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 6:19 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.82 - 0.62. Let z(i) be the second derivative of i**3\/6 - 7*i**2\/2 + 2*i. Let y be z(5). Which is the nearest to 1\/4? (a) -1 (b) y (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -416.97\nAnswer: 83.394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5 + w**2 + 4 - 2*w - 6*w. Let q be z(7). Suppose 2*j = 4*g - 24, q*j = 5*g - 0 - 29. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 - 19.3. Let o be ((-3)\/(-2))\/((-1)\/(-2)). Which is the nearest to -0.1? (a) 2 (b) w (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59 in -66, 220\/23, -5?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 196?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((-8085)\/(-98))*(-3)\/46?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*l + 96*l + 1609824000 = -118*l. Round l to the nearest one hundred thousand.\nAnswer: -33500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 14*o - 216. Let t be a(10). Solve -57 = t*x - 81 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 700411 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*d**4*i**2*o + 2*d**2*o + i**2*o - 63*o wrt d?\nAnswer: -120*d**3*i**2*o + 4*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-4)*14\/(-35)*10\/(-55).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125676745 a multiple of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -487 + 505. Solve 6*j + u = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 27\/2*k**6 + 10*k + 0*k**4 + 0*k**3 - 3\/2*k**2 + 0*k**5 + 160. What is the second derivative of i(u) wrt u?\nAnswer: 1620*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 0*w + 420 = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 4. Let k(v) = 2*v + 926*v**3 + 3*v**2 + 3074*v**3 - j*v**2. Let q be k(2). Round q to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.081466158 - 0.4?\nAnswer: -0.318533842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184664 + 13*i**2 + 11*i - 6*i**3 + 184664 - 8*i**3.\nAnswer: -14*i**3 + 13*i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/49)\/((-26)\/(-14) + -1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-53)\/(3816\/2184)*12\/14.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167541919 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*j**5 + 326*j**4 - 208202*j**3 + 704978*j**2 - 662720*j + 165608 = 0. Calculate j.\nAnswer: -163, 2\/5, 1, 2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 521333047 to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 271?\nAnswer: 271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 180552*d**6 + d**2 + 9691*d + 8?\nAnswer: 21666240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*v + 243*v + 943 = -344*v - 1220 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0140647234 to five dps.\nAnswer: -0.01406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -53, -120, -213, -332, -477?\n\"Answer: -13*k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236201?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -27779.024.\nAnswer: -8333.7072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-30) + (-1770)\/300)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274511309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12\/(f**6\/f))\/(f**(2\/13))**(-10\/11) assuming f is positive.\nAnswer: f**(1021\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = 4*f - 82. Which is the nearest to f? (a) 1 (b) 5 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 22*r**2 - 19*r + 5. What is f(-23)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 4*q**3 - 126*q**2.\nAnswer: 2*q**2*(q - 7)*(q + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2*b)*(-19 + 23 - 25)*(-4*b + 9 - 1 + 8*b)*(-2*b - 2*b + b) in the form g + s*b + k*b**2 + a*b**3 and give k.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 + 2*b)*(1 + 2 - 12)*(31 + 84 - 47)*(0 - 5 + 3) to the form y*b + i and give y.\nAnswer: 2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/35?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4 = -2*z. Suppose 33*a + 21*a - 45*a = 486. Sort -3, a, z in decreasing order.\nAnswer: a, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 271, 270, 269, 268, 267, 266?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57*t**5 - 2285*t**4 + 299847*t**2.\nAnswer: 3420*t**2 - 54840*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}