diff --git "a/data/dm_maths/full_data_1/1238_11255.jsonl" "b/data/dm_maths/full_data_1/1238_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1238_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 79 = 3*p - 4*h, 6 = 5*h + 11. Solve -2*i + 11 = 3*d - 12, -5*d = -p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (28 + -14 + -39 + 2).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 125*b - 680.\nAnswer: -5*(b - 17)*(b - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -73873217\nAnswer: -36936608.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*o**3 + 0*o + 7*o**3 + 2*o - 20 in the form k*o**2 + p + r*o + b*o**3 and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31138072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2650303 is divided by 8550.\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 - 16*o**2\/5 + 13*o\/5 - 3\/5.\nAnswer: (o - 3)*(2*o - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24555 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2\/(v*v**(-21)\/v))**42)**(-1\/48) assuming v is positive.\nAnswer: v**(-161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*w**3 - 4*w - 27*w**3 + 4*w.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a meter in millimeters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7593 is divided by 1514?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 0 - (0 - 1) - 1 - -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 - 37412*d**3 + 112208*d**2 - 74800*d.\nAnswer: 4*d*(d - 9350)*(d - 2)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4050*-0.6\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 10. Let d = 3 + 2. Suppose d*b + 25 = v + 4*v, -5*v = -b - 5. Is t(v) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*y**2*z**3 - 13*y**2*z**2 + 3*y**2*z + y*z wrt z?\nAnswer: -36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8081 and 0.8.\nAnswer: 6464.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x + 3*x + 4*x)*(116 - 12 - 48) + 0*x + 3*x - 2*x to the form h*x + p and give h.\nAnswer: 449","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 162\/481 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2202 (base 5) to base 11\nAnswer: -255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 2 + 5 + -1. Differentiate -2*c**q + 4*c**3 - 3 + 2*c**3 with respect to c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2665*d**6 + d**5 - 187*d**2.\nAnswer: 319800*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -2 + 7 - (35 - (-9 + -31))) + -11?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 59393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -1\/4*s**5 + 1\/4*s + 0*s**3 + 0 + 1\/2*s**4 - 1\/2*s**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 2*h + 4. Let y be u(0). Calculate the highest common factor of y and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.054 + -0.106. Let a = -22480 - -158328\/7. Let n = -138 + a. Do n and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 5*l = 12*f + 19, 4*l - 5 = f. Solve f*b + 12 = -0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1\/3, 732, -1, 1\/3, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 - 241085*s - 2 - 243268*s.\nAnswer: -484353*s + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 2. Find the common denominator of (-221)\/55 + (-2)\/(-10) and m + -2 + 39\/15.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 798.20732 to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) + 2*sqrt(66) - sqrt(66))) + sqrt(66) + sqrt(66))\/sqrt(6) + (-1*(sqrt(704) + sqrt(11)) + sqrt(11))**2.\nAnswer: sqrt(11) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -14 - 2. What is the third derivative of -3*d**v - 15*d**2 + 2*d**2 + 23*d**3 + d**3 wrt d?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 184273?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.71002 - 0.71. Round p to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 289*s - 35700. Give g(128).\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49)\/(-35) + 6\/10. Suppose r*v = -3*n, 2*n - v = 4*n. Factor 1\/4*q**2 - 1\/4*q**4 + 0*q + n*q**3 + 0.\nAnswer: -q**2*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254021458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 48*p - p - 54*p. Let c(s) be the second derivative of 1\/4*s**4 + 0*s**3 + 0*s**2 + 2*s + 0. Determine c(r(z)).\nAnswer: 147*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*h = -76*h - 303*h - 27708 + 8702 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s**2\/11 - 10*s\/11 - 4\/11 = 0. Calculate s.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 57844000 rounded to the nearest 100000?\nAnswer: 57800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 17631, 71299, 160747, 285975, 446983, 643771?\n\"Answer: 17890*q**2 - 2*q - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 422860 rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (10 - 10) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1856 + -1860. Which is the fourth biggest value? (a) -2\/7 (b) -697 (c) -0.1 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 70 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -6*n + 3. Let h(p) = 7*p - 4. Suppose -8*u - 41 + 1 = 0. Determine u*h(d) - 6*s(d).\nAnswer: d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 + 2*b + 4. Suppose 3*r - 1 = 8. Let k(n) = 2*n**2 - 2*n - 5. Determine r*v(j) + 2*k(j).\nAnswer: -2*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*g**2 + 27 - 2*g**3 - 10 + 11*g**2 in the form i + x*g**3 + c*g + f*g**2 and give i.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -263 divided by -2?\nAnswer: 263\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xf when two letters picked without replacement from {f: 2, t: 1, x: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*f + 15*f**2 + 17*f**2 - 3*f**2 - 5*f**2 wrt f.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/474 and -83\/948.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**6\/30 - 19*g**4\/6 + 24*g**2 - 9*g. What is the derivative of j(h) wrt h?\nAnswer: 4*h**3 - 76*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 times 4.7?\nAnswer: 427.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1131.\nAnswer: 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30186.5 + -30186. What is the fourth smallest value in o, 34, 2, 1\/5, -2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/30*(11 + 6233\/(-368))\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108717268 != 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from qdsqqsqs.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -773.4579874 - -773.088. Let l = x - -0.37. What is l rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5, 12, 21, 32?\n\"Answer: a**2 + 4*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30562490.7 rounded to the nearest one million?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 0*o**3 + 3*o**2 + 2*o**3 + o + 0 - 5 as d*o + z*o**3 + r*o**2 + n and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d**2 - 2*d - 1. Let r be h(-1). Let a be r + 0\/(-1) + 17 + -16. Solve -a*o - 31 = -11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (85\/260 - (-2)\/(-8))*-2 - 2835029\/55757\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/12)\/((-6)\/8)*69\/(-92).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-6*(-3*(-1 + sqrt(2) - sqrt(2)) + sqrt(2))*-2 - (sqrt(242) + -1 + 0 + sqrt(242) + 1*(-1 + sqrt(242)))))**2.\nAnswer: -14364*sqrt(2) + 20934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 6*m**2 - 11*m + 12. Let p be z(8). Let h = -28 + p. Solve -y - t = 4*t + h, 8 = 3*y - 5*t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2\/3 (b) -6 (c) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 210a8c (base 13) to base 4\nAnswer: 2330231121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -91749 (b) -7 (c) -4\/7 (d) -0.3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 708 and 5844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/18, 30, 1, 5, 2, 0 in ascending order.\nAnswer: 0, 1\/18, 1, 2, 5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -2 in increasing order.\nAnswer: -24, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/15468 and 35\/15156.\nAnswer: 19536084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) - sqrt(102)*-1)*2)\/(sqrt(60)\/(sqrt(10) + sqrt(20)\/sqrt(2))))**2.\nAnswer: 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**3\/7 - 3846*l**2\/7 - 1244100*l\/7 - 7326792\/7 = 0.\nAnswer: -638, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 + 86. Put 0, 5, -8, f, 2 in descending order.\nAnswer: 5, 2, 0, f, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 8.6. Let i = m - -3.6. What is the smallest value in -2\/7, -3\/2, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17\/328, -3, 533 in descending order.\nAnswer: 533, -17\/328, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 12*k = 2*t + 12, -2*k = -5*t - 30 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26*(-3 - -5)\/2. Suppose -5*f - 6 = -v. Let u(i) = -i - i - f*i + 3*i. Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -46\/5903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*q = 2*f - 12, 0 = 5*q + 20. Let w(x) be the second derivative of -2\/15*x**3 + f + 1\/15*x**4 + 0*x**2 - 7*x. Determine r so that w(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 1) - (-5 + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 8 (c) -2\/33 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1201024 + 5?\nAnswer: 1201033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -59*z + 4721. Is q(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872668*r**3 + 796 - 796 + 97544*r**3.\nAnswer: 970212*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/61253194 and 121\/6690?\nAnswer: 918797910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*d**2 + 8*d**2 + 7*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9434.\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let l = 38 - 38. Let q(c) be the third derivative of 0*c**3 + 0*c + 1\/60*c**5 + 4*c**2 + l*c**4 + 0. What is q(p(s))?\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1290260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.33 + 2.3. Let h = v + 0.23. What is the third smallest value in 0.1, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3)\/p**(-2))\/(p**(-2)*p\/p**(-6\/13)) assuming p is positive.\nAnswer: p**(47\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/905?\nAnswer: -2\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*i*j - 99*i + 3495*j wrt i?\nAnswer: 16*j - 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10171 divided by 3038?\nAnswer: -1453\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -7aaea?\nAnswer: 7ab00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -88 - -133. Let s = h + -45.0000051. Round s to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*o + 2, -3*n - 26*o + 21 = -23*o. Solve 2*y - 5*h = -3*y - 15, n*y + 2*h + 22 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5340*o**4 - o**3 + 59136*o**2?\nAnswer: 128160*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3015 + 2562*d + 3015 to p*d + l and give p.\nAnswer: 2562","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - h - 8 = 0. Put 4, h, 0.5 in descending order.\nAnswer: 4, h, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (22\/(-2) + 1176\/112)\/(10\/4). Let v = 3.1 + -0.1. Sort n, v, -5, -2\/17.\nAnswer: -5, n, -2\/17, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 12 - 151 = -t, 5*t - i = 745. Suppose -27*l + 29*l - t = 0. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*u + 472*u + 1699*u - 3.\nAnswer: 3255*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/74, 1\/4, -4, 12.5, 5?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 x when four letters picked without replacement from xddxdd.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d - 2. Let a(m) be the third derivative of -2*m**4\/3 - 11*m**3\/6 - 5*m**2. Let g(p) = 2*a(p) - 11*b(p). Let w(l) = 2*l. What is g(w(s))?\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 115 and 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30852233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**8\/47040 - u**7\/8820 + 35*u**4\/6 + 55*u. Let j(y) be the third derivative of r(y). Determine i so that j(i) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2 + 2307*b - 2308.\nAnswer: (b - 1)*(b + 2308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -387*g + 762. What is d(2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (-51 - -49) - 9.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 308 = x - 2*x, 4*z + 914 = 3*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 6*a = 3*k + 10, 0 = -5*k + 4*a - 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-7)\/4 - -2). Let h = u - 2. Let i be 4*1\/(h - 0). Is i < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1372)\/(-21) - 4\/(-6). Suppose 3*q - 3*i - 41 = 13, -i = -4*q + l. What is the third derivative of -13*s**2 + q*s**4 - 14*s**4 + 7*s**4 wrt s?\nAnswer: 216*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23309 + -7059. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114770 - -57356950.\nAnswer: 57471720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-6 - (-1285)\/10)*2 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 2 l when four letters picked without replacement from {d: 4, m: 1, p: 2, l: 2, n: 6, b: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 994429117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1, 18, 41, 62, 75, 74, 53?\n\"Answer: -i**3 + 8*i**2 + 2*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 83 = -38*y - 61 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u + 3. Let h be x(3). Let v = 2914.7251 + -2915. Let y = -0.0251 + v. Which is the nearest to -0.7? (a) y (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + g**2 + 2*g + 3. Let b be j(-3). Suppose -2*n = 5 - b. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 786587 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 9.46522, -5, 1 in increasing order.\nAnswer: -5, 1, 9.46522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2736) + (-2 + sqrt(2736))**2 + sqrt(2736) + -4)*-6 - (sqrt(2736) + sqrt(2736) + 2 + sqrt(1216) + -4*sqrt(1216)).\nAnswer: -16418 + 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**2. Let b(m) = -4*m + 79. Give b(p(f)).\nAnswer: 8*f**2 + 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3642 (base 7) to base 6\nAnswer: -10133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 - 2*v + 2. Suppose 31*a = 26*a + 20. Suppose -5*c + 0 + 23 = -d, a*d + 16 = c. Determine h(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.226651t to milligrams.\nAnswer: 226651000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42490 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 3:48 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/(-4))\/((-4)\/16). Let x = k - -13. Let s be 16\/(-42) + (-4)\/14. Which is the nearest to s? (a) x (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 15 = -3*y. Let u(m) = m - 18. Let c(i) = 7*i - 235. Let w(v) = -c(v) + 13*u(v). Let d(o) = -11*o - 1. What is y*w(f) + 3*d(f)?\nAnswer: -3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6, 1, -6, -15, -26, -39, -54?\n\"Answer: -j**2 - 2*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 103 = -3*s - 85, 2*q + 171 = 96*s - 209 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 211 (base 3) to base 12\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 40*o + 95. Let j be q(-38). Find the second derivative of 2*u - j*u**4 - 2*u + u**5 + 4*u - 2*u + 84*u**4 + 37 wrt u.\nAnswer: 20*u**3 + 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421441 (base 5) to base 2\nAnswer: 11011010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3253 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: What is next in -7, -24, -55, -100?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from durdudddddddtt. What is prob of picking 4 d?\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j. Let a(b) = -b. Let k(n) = 11*a(n) + 2*d(n). Let s(c) = 3*c + 11. Let w be s(-3). Let p(r) = -15*r + 9*r + w + 3 + r. What is k(p(x))?\nAnswer: -5*x + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4*q + 12, 5*q - 1 = 5*g - 16. Suppose -3*s = -2*s - 10. Suppose 0 = -3*u + u + s. Solve g*k = -u*k - 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 18 = -3*a - 2*i, 3*a - 18 = 4*i. Let x = 186 + 179. Suppose 5*h - x = -125. What is the highest common divisor of a and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/5 (b) 0.3 (c) -3\/16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 12:21 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3667295 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29894460 to the nearest integer?\nAnswer: 5468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*a**3 + 16*a - 39*a + 5*a - 6*a**2 + 19*a.\nAnswer: -63*a**3 - 6*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158403 by -3.\nAnswer: -52801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3844524)\/(-9))\/(696\/522) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v - 335 = -47*v. Let u = v - 26. Let o = 69 - u. What is the remainder when o is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4*(sqrt(1900) + -4 - sqrt(1900)) + (sqrt(1900) + -3)*-4))**2.\nAnswer: -8960*sqrt(19) + 124736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 654281642 + 3*l**2 - 654281642.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*g + g**2 + 6*g**2 - 4*g**2 + 8*g**2 as r*g + x + o*g**2 and give o.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the third derivative of 0 + 0*q + 7\/8*q**4 + 5\/6*q**3 - 6*q**2. Differentiate n(k) with respect to k.\nAnswer: 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3382144 hours in milliseconds?\nAnswer: 1217571.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*2 + 752\/24 + -33. Let n(q) be the third derivative of 0 + 10*q**2 - 9\/8*q**4 + 0*q - a*q**3. What is the first derivative of n(z) wrt z?\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**5\/4 + 100*b**4\/3 - 835*b**3\/6 - 615*b**2 - 359*b - 4. Factor k(q).\nAnswer: 5*(q - 3)*(q + 1)*(q + 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768)*-3)**2 - (sqrt(243) + sqrt(243) + sqrt(243)*1 - (sqrt(3) - (-1 + sqrt(243) - sqrt(3))**2))) + 2.\nAnswer: -10*sqrt(3) + 6721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*d, 904*d - 903*d - 89 = -4*n. Solve 27*y = n*y + 15, 5*o = 2*y - 26 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*p**5 + 9*p**2 + 5 wrt p?\nAnswer: 5400*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -7681751 >= -7681756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1914 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 8 - -21 - ((13 - 8) + 3 - 10).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*2003 - (-84)\/(-72)*-6. What is g rounded to the nearest one hundred?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 3, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(153))\/(sqrt(9) + (sqrt(9) - (sqrt(9) + 2*sqrt(1296))))*-6 + 4.\nAnswer: 18*sqrt(17)\/23 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -858012, -858010, -858006, -858000, -857992, -857982?\nAnswer: -857970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -159, 0.4 in descending order.\nAnswer: 0.4, -0.3, -159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-4\/11)*o)\/o**(-7))\/((o*o**(-2\/15))\/o**(3\/20)) assuming o is positive.\nAnswer: o**(4567\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 2\/3, 4504, -2\/13?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + n**2 + 11. Suppose -2*v + 0 - 2 = -3*c, -c + 5*v = -5. Is m(c) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 844, 842, 852, 874?\nAnswer: 908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 + 1 + 0. Let d = 3 - m. Suppose -44*v - 1 = -89. Solve -2*l + 2*f + 0 = 6, 0 = v*l + d*f - 19 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 284.45709 months?\nAnswer: 23.7047575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 divided by -10?\nAnswer: -986\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 56*l**6\/15 + 207*l**5\/5 - 146*l**4\/3 - 54*l**3 - 16*l**2 - 35*l + 1. Find m such that a(m) = 0.\nAnswer: -8, -1\/4, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31 + 13237*s + 2135*s - 31 + 8466*s to the form t*s + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -0*i + 3*u - 3, 0 = 2*u + 2. Let x(w) = w + 2. Let v be x(i). Solve -1\/3*g + v - 1\/3*g**2 + 1\/3*g**3 + 1\/3*g**4 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(((-8)\/7)\/(-4)). Let j be 8\/20 + 4\/(-10). Suppose 3*c - 12 = 0, -5*t + 2*c = -j*t - 57. Solve k = 5*q - t for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.05 + -15. Let s = 0.05 - v. What is the second biggest value in s, 2, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/8 and 470\/116 - (-5 + 10).\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -42*c - 60. Let g be m(-2). Suppose -g*h + 25*h = 284. Calculate the greatest common factor of 4 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 8*j - 29. Let z be k(-7). Let p be 7\/(-2) + (-11)\/z. Which is the nearest to 0.1? (a) p (b) 33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 10*u**2 + 2*u + 5. Let z = -29 - -24. Let r be q(z). Suppose -2*m + 3*c = -r, -5*m + 6*c = 3*c - 282. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -5. Suppose -14 = -5*i - 3*c, -5*i + 1 + 29 = -5*c. Let b be 759\/161 + i\/((-4)\/5). What is the fourth smallest value in -3, j, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -122 + 125. Is 2 a factor of 10\/h*((-108)\/8)\/(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20898 and 295002?\nAnswer: 12685086","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, s: 2, x: 2, y: 3, p: 4}. What is prob of picking 2 x and 1 p?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33246922 divided by 19.\nAnswer: -1749838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9344919 is divided by 46034?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 2*j = -133, -4*j + 4 = 3*q - 49. Let k(v) = -v**3 + 2*v**2 + 13*v - 3. Let r be k(-10). What is the greatest common factor of r and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Suppose -d*c + 177 = 5*z - 728, 4*z + 5*c - 724 = 0. Round z to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k - 2*k**4 + 3*k + (k**4 + 6*k**4 - k**4)*(1 + 1 - 1).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 divide 83187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*c**2 - 47656*c - 2*c**4 + c**4 + 49134*c wrt c.\nAnswer: -12*c**2 + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l**2 - 4*l - 8. Let v(k) = 17*k**2 - 26*k + 9. Give -3*p(a) - 2*v(a).\nAnswer: 20*a**2 + 64*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from xdxxwhwhhdx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4979 from 390681.\nAnswer: 385702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyyyyfysysyxxfyyf. Give prob of sequence sf.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 12:45 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -28 + 16*w - 19 - 32 + 21. What is the units digit of n(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b6 + 5?\nAnswer: -16b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 2448.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380*r + 2341 = -344*r - 23519 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t - h = -8*t - 2, -3*t + 4*h - 29 = 0. Let q(j) = -2*j**2 - 3*j + 3. Let p(y) = -y**2 - y + 2. Let n(m) = -5*p(m) + 3*q(m). Determine n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20597380 to the nearest 100000.\nAnswer: -20600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 136. Let b = j + -73. What is the smallest value in b, -2\/21, -0.3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2709, -5444, -8163, -10860, -13529, -16164, -18759, -21308?\n\"Answer: j**3 + 2*j**2 - 2748*j + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*b - 235149 = -235743 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1174*d - 789*d = -22053 + 4638 - 29940 for d.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Let t be (1 - (0 + -1)) + n. Solve q = t*q - 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*t = -1493*t - 744*t + 91596 for t.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -25 + 25\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 1:03 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1083528)\/1341)\/(72\/(-9))?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12431, -24723, -37005, -49277, -61539?\n\"Answer: 5*v**2 - 12307*v - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 != 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/165 + ((-8941)\/(-11) - -2). Suppose l - r + 28 = 0. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 17180.\nAnswer: 188980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732 = -5*w - 2*a, 4*w - 262*a + 264*a = 1384. What is the greatest common factor of 2262 and w?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2588, 2416, 2240, 2060?\nAnswer: 1876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 2*y**2 + 3*y - 2. Let x(u) = 10*u**3 - 10*u**2 + 16*u - 11. Give 11*k(a) - 2*x(a).\nAnswer: 2*a**3 - 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2939048.4425 less than 48?\nAnswer: -2939000.4425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 749 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*m + 26*m + 12. Suppose m*l + 193 = 2*q, 6*q - 5*l = 4*q + 203. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5995 a factor of 1916822253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1616)\/200 + 8)*-5. What is the closest to -1 in r, -2\/5, 4\/17, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 54011511?\nAnswer: -54011516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1663158 - -0.126318. Let a = r - -0.04. Round a to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w. Let b(x) = -12*x. Let v(a) = -a**2 - 21*a - 19. Let c be v(-15). Suppose 6*g + 11 - c = 0. Calculate g*f(d) - 3*b(d).\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 343.\nAnswer: -5\/343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54007\/2 - 27003. Suppose -3*q = -4*q + 3. Which is the nearest to u? (a) -6 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6724545, 13449093, 20173641, 26898189, 33622737?\nAnswer: 40347285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -17.26 * 0.025275.\nAnswer: -0.4362465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-37)\/(4625\/(-490)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43968 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, 0.7, 3, 557\/25, 0.4, -2\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-20)\/4)\/(-10))\/((-2)\/(-56)). Let z(a) = 3*a - 36. Let c be z(k). Suppose -c*d + 18 = -3*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12003213 + -10200010?\nAnswer: 1203203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 903*y - 297*y - 302*y - 305*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163 = 3*m - 3*l - 742, -4*l = -2*m + 378. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/10)\/v*v*v\/(v**2\/v)*v*v*v**3*v*v*v**0*(v*(v*v**(-1\/5))\/v*v**(-1\/19))**(-41) assuming v is positive.\nAnswer: v**(-4511\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-4))\/(4\/8). Let r(t) = -d*t - 1 + t - t. Let i(x) = 4*x + 1. Let o(j) = 5*i(j) + 7*r(j). Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -2\/213 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*p**2 + p**2 + p**2 + (2*p - 2 + 2)*(-4*p - 32*p - 2*p))*(3*p + 0*p - 4*p)*(-1 + 0 + 2) to the form f*p**2 + a*p**3 + i*p + c and give a.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 14. Suppose -5*u - x = 4*u. List the prime factors of 3*-2*52\/u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-270)\/(-36)*3*3\/(-90).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-462) - 2\/(-12). Suppose 0*f**2 - u*f + 2\/11*f**3 + 0 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*j - 2*p - 56911 = -50*j, -9*j + 102458 = -p. What is the greatest common factor of 33 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2)*(-43*y**5 + 22*y**5 + 22*y**5).\nAnswer: 2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9528.369l?\nAnswer: 9528369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -62566615.4 * -0.2\nAnswer: 12513323.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 10*o**2 - 13*o - 24. Let m be v(-2). What is the greatest common divisor of 154 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373547?\nAnswer: 97, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, 3, 4, -8 in increasing order.\nAnswer: -8, -7, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (1792\/72 - 26)\/((-14)\/18)?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 3*d + 21, -8*d + 7*d = 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13678, 26843, 40008, 53173, 66338?\n\"Answer: 13165*f + 513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5616 divided by -1872.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3\/7))\/l**8*(l\/(l**(1\/2)*l))**(1\/8) assuming l is positive.\nAnswer: l**(-839\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yge when three letters picked without replacement from {g: 3, o: 2, p: 2, e: 4, y: 2}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/1511 + -3079\/28709. Which is the nearest to k? (a) 3\/5 (b) -0.2 (c) -4 (d) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 10*i**2 + 14*i - 8. Let o(y) = 34*y + 1043. Let t be o(-31). Calculate p(t).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/6, 5, -0.1547, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 31*t**2 - 36*t - 66. What is a(-30)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-769)\/36 - 39\/(-351). Sort 2, h, 0.3 in decreasing order.\nAnswer: 2, 0.3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600463829?\nAnswer: 7, 23, 3729589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 700869, 5606854, 18923093, 44854710, 87606829, 151384574?\nAnswer: 240393069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, n: 6, w: 7, u: 1}. What is prob of sequence wnwu?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**3\/8 - 13245*f**2\/8 + 14678589*f\/8 - 131036643\/8 = 0.\nAnswer: 9, 2203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2812 and 181792?\nAnswer: 6726304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 212 - 92. Calculate the greatest common divisor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 2. Let r(s) = -3*s - 7. Let c(b) = 4*r(b) + 14*v(b). Let m(w) be the second derivative of 0 - w - 1\/3*w**3 + 0*w**2. Calculate c(m(z)).\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364054075 and 350?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 592 and 464?\nAnswer: 17168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -1621.72?\nAnswer: 1621.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 19\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -229, -224, -211, -184, -137, -64, 41, 184?\n\"Answer: s**3 - 2*s**2 + 4*s - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 3:25 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 3*i - 14. Let w be h(0). Let n = 14 - w. Let o = 5 + 2. Calculate the highest common factor of o and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -489072\/2143?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104316?\nAnswer: 2, 3, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ca228 (base 16) in base 2?\nAnswer: 11111001010001000101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525 - 1052 + 527 + 11470*i - 11447*i.\nAnswer: 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*s**3 + 48*s**3 - 28*s**3)*(-717 + 805 + s + 620) as c*s + j*s**3 + t + p*s**2 + k*s**4 and give j.\nAnswer: -708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 35 = -365. Suppose -28*k + 18*k + x = 0. Calculate the remainder when 8 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 3. Let a be k(-3). Let y(g) = -g - 1. Let s(u) = 4*u - 28. Let x(o) = -s(o) - 3*y(o). Is x(a) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 2388, 7194, 16074, 30270, 51024, 79578, 117174?\nAnswer: 165054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -2*b, -3*u = -6*u - 3*b. Solve u*o + y = -2*o - 12, -y = -5*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.051 in -3, -4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.51 - -11.41. What is the nearest to 0.1 in c, -0.1, 3, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 1. Let a(l) = 12*l**2 + 3. Calculate -a(p) + 3*d(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 5. Suppose 50*v - 18 = 47*v. Let m(c) = -c + 6. Determine v*a(y) - 5*m(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -13 - -2 - 22\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 117*x**2 + 27. Let z(m) = 39*m**2 + 10. What is 3*u(o) - 8*z(o)?\nAnswer: 39*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21234, 89066, 202120, 360396, 563894, 812614?\nAnswer: 1106556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 126 - 116 = 5*p, 0 = 15*p + j + 20 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 1044*k**3 + 2205*k**3 + 4*k**2.\nAnswer: 3249*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.72, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -98*h**7\/3 - 1862*h**6\/15 - 364*h**5\/5 + 272*h**4\/3 + 64*h**3\/3 - 32*h**2 - 7*h. Find y, given that r(y) = 0.\nAnswer: -2, -1, -2\/7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/15))\/z)\/z*z**(2\/39)\/z assuming z is positive.\nAnswer: z**(-118\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1722 times 5?\nAnswer: 5.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(124\/(-1023)*15\/(-20))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h**(17\/4)*h)\/h))\/h**11*h**(-3\/10)\/(h**(-7\/3)*h) assuming h is positive.\nAnswer: h**(-853\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 28 = -4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence se when two letters picked without replacement from essee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 19 + 3. Let a(i) = 3*i + 10*i + 2 - i**2 - 18. List the prime factors of a(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -114711, -229423, -344135, -458847, -573559?\n\"Answer: -114712*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1232280 and 420.\nAnswer: 1232280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 2*c - 9*c)*(-210*c**4 + 4*c**3 - 3*c**3 - 269*c**4 - c**3 + 0*c**3).\nAnswer: 2395*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - l**2 - 2*l + 1. Let g(d) = 5225*d**4 - 4*d**3 - 2*d**2 - 4*d + 4481. Let z(s) = -g(s) + 2*j(s). What is the derivative of z(c) wrt c?\nAnswer: -20900*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6502778 (base 9) to base 15\nAnswer: -48cd42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*p + 25 - 48 = 122. Let u(m) = -7*m**3 - 2*m - 2. Determine u(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 15*w**2 - w**2)*(3 + 3*w - 3) + 148 - 148 + w**3 + 47*w**2.\nAnswer: 52*w**3 + 47*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qbbqqqbqqqqbbbbbqbb. What is prob of picking 2 b and 2 q?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 19 - 8. Let f(v) = v**2 - 5*v - 8. Calculate the remainder when f(10) is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + -4 + -1 + sqrt(44) + sqrt(44))**2.\nAnswer: -60*sqrt(11) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -1\/5, -6.3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 85 - 154 - 72.\nAnswer: k**2 - 141","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 14 = 0, 4*f - 2307277 = -5*j + 2281122. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 128375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-947)\/(-2) + (-1)\/2. Let j = 55 - -31. Suppose j = -9*l + y. List the prime factors of l.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11992 = 4*u + 13636. Is -391 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 29, 1, -3697, -2 in decreasing order.\nAnswer: 29, 5, 4, 1, -2, -3697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -90167 from -7.\nAnswer: 90160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - -0.2. Let x be 63\/27*(-2)\/(-16). Let f = x - -1\/24. Sort p, -2, f in increasing order.\nAnswer: -2, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06567 and 936.9.\nAnswer: -61.526223","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 4*g - 8. Let q be l(6). Suppose -1 = -c + q. Let o(s) = -s**2 + 8*s - 5. Let h be o(c). Calculate the highest common factor of 25 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14354703 a multiple of 335?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 25661 (base 9) to base 16\nAnswer: 439c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 25 = 0, 3*g + 2*g = -4*c + 373. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let z be (1 - g)\/((-1)\/(-6)). Suppose -2*v + z*v - 56 = 0. Calculate the highest common factor of v and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1436 + 2*m - 1436 - 20*m - 9*m.\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5315391632?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*k - 5*u, 2*k + 12 = k - 3*u. Let t(l) = 2*l**2 + l**3 + l**2 + l + 0*l + 3. What is t(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(252))\/(2*sqrt(225) - sqrt(9)).\nAnswer: -4*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a century?\nAnswer: 1040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112*b = -115*b + 6. Let i(u) be the first derivative of u**4\/4 - u**3\/3 - u**2 + 3*u - 156. Give i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907849 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.051700241 - 0.0517. What is h rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 298*q + 296 = 0. What is q?\nAnswer: 1, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 49275 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*a**4 + (2*a**3 + 0*a**3 - 5*a**3)*(-211*a + 412*a - 149*a) as f + l*a**4 + h*a**2 + b*a + w*a**3 and give l.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100102 (base 3) in base 16?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*r**2*s**3 + 6001*q**3*r**2*s + 40*q**3*s**3 - 24*q**2*r*s + 12*q*s**3 wrt r?\nAnswer: 4*q**3*s**3 + 12002*q**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + sqrt(128) + 1 + sqrt(128) + sqrt(128))*6 + 3 - (1*sqrt(128)*-6 - -1*sqrt(128)*3))**2.\nAnswer: 3888*sqrt(2) + 93393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 - 197*j - 249. Give c(100).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*g - 3*g + 269, -2*g + 2*c + 176 = 0. Calculate the remainder when g is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(324) + sqrt(324) + sqrt(324)*-3 + sqrt(324) + sqrt(324))\/sqrt(3).\nAnswer: -5 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4092 - -4222. Do o and 132 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1328\/144)\/((-6)\/(-2)) + -3?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vejvjvwvvvjv. Give prob of picking 1 w and 1 v.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87 - 5*(-24)\/20?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*j + 27. Solve 2*i - j*i - 5*c - 5 = 0, i + 17 = -5*c for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nononnnnnnnnonn. Give prob of picking 2 o and 1 n.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kgkkkgkgggt. What is prob of picking 1 g and 3 k?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9320*z = -9325*z + 20. What is the second biggest value in -2, 7\/6, z?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 0. Let p = 1.7 + -16.1. Let j = -14 - p. What is the smallest value in a, -0.2, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from lllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*c + 42*c - 77*c**2 + 47*c + 1 to r*c**2 + t*c + v and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2. Let u(a) = 14974*a**2. Give u(w(v)).\nAnswer: 14974*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 29, 34, 35, 32, 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = -3*n + n, -t = -5. Suppose 48 = -n*v + 4*v. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005545 to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -2*z - 30, 131*z - 133*z = -38*u + 37*u + 22 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let s(p) = -2*p - 21. Let q(n) = -6*l(n) - s(n). Let z be (-50)\/20*16\/(-10). Let a be q(z). What is the highest common factor of a and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 8. Suppose 3*k - 2*t + 3*t = 28, -4*k + 38 = 2*t. Suppose m - 9 = -2*f, -z*f + 1 = -k. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4*-4*sqrt(500) - (-5 + (sqrt(500) - (sqrt(500) + sqrt(500)*4))))*1*6)**2.\nAnswer: 1152000*sqrt(5) + 115214400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 - 15*f)*(3*f - f - 6*f).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3120)\/(-11050))\/(2 + -1 + 1). Which is greater: -8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (357\/34)\/7*(-1)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) -2\/283 (c) 59\/10 (d) 1 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 13 + 1 = 2*k, -15 = 5*k - 5*x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.64 - -0.08. Let y = 3.56 + o. Is 11 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2037 - 3989\/2. Find the common denominator of (-678)\/(-132) + -3 + (-3 - 1) and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -52 + 13 + i**2 + 8*i + 53. Determine w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-1 + sqrt(405))*4 + sqrt(405)*-1 + 2)**2*-6.\nAnswer: -21894 + 648*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77.9999865 + -78. What is k rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -1222*m**2. Let n(u) = -46*u. Determine n(v(q)).\nAnswer: 56212*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-377))\/(30\/40). Let o = j + 33886\/12441. What is the common denominator of o and 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2557, 3, 0, 2, -4, 4 in ascending order.\nAnswer: -2557, -4, 0, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -5. Let r be (g - 248\/24)*228\/(-5). Suppose 46 = 4*l - 30. What is the highest common factor of r and l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*36.6.\nAnswer: -1024.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -202101221111?\nAnswer: -202101221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-155)\/3*(-261)\/290*((-1496)\/(-66))\/34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + c6?\nAnswer: ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 11*c + 526. Let z be p(-29). Let x(k) = k**3 - 2*k**2 + 2*k + 2. What is x(z)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 11*c**2 - 8*c**2.\nAnswer: -13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccs when three letters picked without replacement from {x: 1, c: 4, s: 3, t: 2, q: 9}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*c**2 - 83*c**2 + 2*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5*d**3 - 302*d**2 - 113*d + 452. Give b(-60).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 157720 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/((-110)\/(-50))*(-4)\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v**4 + 54*v**3 - 48*v**2 + 8*v = 0. Calculate v.\nAnswer: -2, 0, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/(-28)*(-3)\/(-15).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, b: 2, q: 3, k: 1, m: 2, i: 1}. What is prob of sequence qi?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -5*r**9\/3024 - r**6\/60 + 7*r**3 - 5. Let f(p) be the third derivative of v(p). What is the third derivative of f(k) wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 7*t**2 - 2*t - 8. Let o be h(6). Suppose 7*d = 3*d + o. Suppose 0*b + 4*b = -d*u + 1500, b + 738 = 2*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2\/11 - 446462*u\/11 - 446464\/11 = 0?\nAnswer: -1, 223232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 75\/20 + -3 + (-13)\/(-4). Suppose -d = i - 6*i + 103927, -8 = j*d. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 44\/9? (a) 3\/5 (b) 0.5 (c) -3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -41*h**3 - 5*h**2 + 7*h + 6. Is y(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-72) + (-11303)\/(-6408).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let b = 57 - 60.1. Let r = q - b. Sort r, -0.4, -2 in decreasing order.\nAnswer: r, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 d when three letters picked without replacement from {a: 6, d: 1, r: 2, u: 2, p: 4}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, e: 2, q: 8, m: 2, b: 1, j: 1}. Give prob of picking 1 e, 1 j, 1 x, and 1 q.\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1100100101101000 (base 2) to base 13\nAnswer: -1a612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -169166, -169168, -169170, -169172?\n\"Answer: -2*g - 169164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -553b (base 15) to base 5.\nAnswer: -1034211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 110 and 3311.\nAnswer: 33110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((1 + sqrt(80))*2 - (sqrt(80)*1 + -1)))*-3)**2*6*-3.\nAnswer: -13122 + 1296*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -213, -1723, -5815, -13779, -26905, -46483?\nAnswer: -73803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22071 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l**2 + 7*l - 5. Let y be q(2). Suppose 2*r = -u + y, -78 = -3*r - 4*u + 4. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:43 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 78. Let n = -0.1552 - 68.7448. Let u = n + m. Round u to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*(0 + sqrt(1573) + sqrt(1573) + 3)**2.\nAnswer: 792*sqrt(13) + 37806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3662003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/66 - (-1)\/2. Put -50, 2, 3, q in decreasing order.\nAnswer: 3, 2, q, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) - (sqrt(1700) + sqrt(1700) + 0)**2) + (sqrt(1700)*1)**2.\nAnswer: -5100 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 921756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/8 + 5\/2. Let w(g) = g - 1. Let a be w(2). Suppose a = m*k - 3. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 298608 by -49.\nAnswer: -298608\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 466 + -235. What is the highest common factor of a and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89694*b*c + 83837*c wrt b?\nAnswer: 89694*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3292*r**3 + 1649*r**3 + 1675*r**3.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/12 and 44\/113.\nAnswer: 1356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**3 - 17305*a**2 + 120920*a - 103620 = 0.\nAnswer: 1, 6, 3454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -103\/3. Factor 0 - 14\/3*j**2 + d*j.\nAnswer: -2*j*(7*j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 588, 5, -23, 0, 6, -3 in descending order.\nAnswer: 588, 6, 5, 0, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*b**4 + 6\/5*b**5 + 0 - 4\/5*b + 18\/5*b**2 - 18\/5*b**3 = 0. What is b?\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {o: 5, c: 12, w: 2}.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, i: 3}. What is prob of picking 2 i and 1 t?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.178 - 0.078. Let u = -2 + 2.1. Does u = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 - 163. Let v(r) = -r**3 - 3*r**2 + 15*r + 6. Let l be v(i). Calculate the highest common factor of l and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70972939?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 147213865 to the power of 1\/3, to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + 7\/35 + 2\/(-10). Solve 0 = -2*k + k + 5*n - 15, 2*n - 6 = w for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 5:33 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 932 - 679. What is the remainder when q is divided by 86?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-5)\/20 + 35\/42?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/71158 and 41\/376?\nAnswer: 284632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53a3 (base 15) to base 5.\nAnswer: 1031303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 358 a factor of 11623544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-352 - -381) + (-56 - -1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 11 - (1 - -2)) + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 2 = 3*d - 3*b, 4*b = 2*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8525 + 14554?\nAnswer: 21a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 129*a**3 + 588*a**2 + 684*a.\nAnswer: 3*a*(a + 2)*(a + 3)*(a + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -742, -1486, -2220, -2938, -3634, -4302, -4936?\n\"Answer: g**3 - g**2 - 748*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3097674281 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 18, 12, -3 in increasing order.\nAnswer: -3, 1, 12, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/1844 and -21?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -115432\/7 or -1\/43?\nAnswer: -115432\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = d. Suppose 2*y = -d*y + 36. Suppose v - 12 = 24. Calculate the highest common divisor of v and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 13*h**2 - 37*h + 8. Let v be w(9). Let y = -31\/54 - -2\/27. Let m = -0.5 + -1.5. What is the second biggest value in m, v, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1440)\/324*63\/1155*9\/(-2)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4856*5\/(-380) + (-2)\/(-19). What is the derivative of 93*r**4 - 37*r - 155 - 27*r**4 - 28*r + u*r wrt r?\nAnswer: 264*r**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-14) + (-6)\/(-21). Suppose -423 = -a*n + 92. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 217 + -168 + 1*2\/2. Suppose 0 = -5*y + n - 463 + 2712, 4*n = 5*y - 2246. What is the greatest common factor of t and y?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 2\/7, 0.079, 0.03, 1151\/4?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/10 - -90)\/7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 15*v**2 - 13117*v - 210083. What is z(-16)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 551446 and 43974.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44 + 2?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 92, 292, 606, 1022, 1528, 2112?\nAnswer: 2762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 9*f = 2. Suppose -24 = -t + 2*d, -f*d - 60 + 164 = 3*t. Let w = t + -28. Solve -w*m - 1 = -13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.162 - 0.142. Let n = 0.02 + k. Let j = -119 + 593\/5. Which is the closest to n? (a) j (b) -5 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1932 = -5*j - f, 2*j + 17*f - 14*f = 765. Let q = j + -385. Solve 3*c + q = x - 2, -3*c = -4*x + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -3*r + 11. Let q(b) = b - 1. Let m(k) = 4*q(k) + y(k). What is the least common multiple of m(-6) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(7\/(-504)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5 + 7. Let k(r) = -r**2 + 17*r + 9. Let q be k(17). Let p be (7\/(-21))\/(1\/q). Put p, 5, b in descending order.\nAnswer: 5, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 2*t**2 - 3*t + 1. Let g(m) = -m**3 + 3*m**2 - 4*m + 2. Let q(s) = 23*s - 50 + 166 - 72. Let l be q(-2). Give l*g(j) + 3*x(j).\nAnswer: -j**3 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-16)*((-7350)\/(-225))\/49\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 4, -3, 13, -5, -1643?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 10*z + 21. Let b be o(9). Calculate the least common multiple of (b\/8)\/((-18)\/(-120)) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*d - 9 = 184*d - 3*z, -6 = d - 2*z. Sort -1\/6, d, -2\/593.\nAnswer: -1\/6, -2\/593, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 6. Let k be l(0). Let i(w) = 2*w**2 + 2*w + 1. Let b be i(-1). Let r be 4\/((-4 + b)*1). What is the closest to -0.2 in r, k, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - z = 13*z + 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/4 of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*2*sqrt(13)*-1 - -4*(2 + sqrt(13))*3)**2.\nAnswer: 384*sqrt(13) + 1410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -5*p + 3*k, 5*p = 351*k - 347*k + 1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -49822?\nAnswer: 14946.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 576467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9617 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 867*m + 3 - 473*m - 454*m.\nAnswer: -60*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 932*k + 113. Give z(0).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.62 times 2.857431?\nAnswer: 1.77160722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**5 + 6*r**5 + r**5 + (2*r**2 - 3*r**2 - r**2)*(2*r**3 + 3*r**3 - 4*r**3).\nAnswer: 2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 286 - 95. Is (a\/3)\/(-6*3\/(-54)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*p**3 - 18*p + 38*p**3 + 17*p + 14*p**3 - 31*p**3 + 3*p**3 + (0 - 2*p + 0)*(-p + p + p**2).\nAnswer: 10*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 105\/12464 and 47\/10.\nAnswer: 62320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 867847 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/((-6)\/19))\/(8\/(-48)). Let n = b - -75\/2. What is the closest to n in -1, 1\/2, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 2*c = -42, -9 = 2*k - 2*c - 3*c. Suppose 8*t = 4*t + k. What is the second derivative of -z**3 - z**3 - t*z + z**3 wrt z?\nAnswer: -6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275448 is divided by 102?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1 and -9.753?\nAnswer: 9.653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 93 = 85. Solve -s = 2*p - 4, -p - 22 = -4*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o**2 - 799*o - 10077. Determine m(-13).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -6, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-1\/5))\/(w*w**(-6\/7))*(w**23*w)\/(w*w**(-43)\/w*w) assuming w is positive.\nAnswer: w**(2347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -131*z**3 - 2*z**2 - 4*z - 2. Give i(-1).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6024673 is divided by 81?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 60099858271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -216*a**5 - 33*a**2 - 4*a.\nAnswer: -12960*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 19\/14, 0, 2 in descending order.\nAnswer: 2, 19\/14, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -1, -197, -63 in increasing order.\nAnswer: -197, -63, -9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z**2 - 3*z**3 - 25*z + z + 15*z = 0 for z.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 23 = 4*u, -25 = -3871*n + 3872*n + 5*u for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*f - 13*f + 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -949*h**3*k**2*v - h**3*k - h**3*v + 466*h**2*k**2*v - 2*h*k**2*v - 5*k**2*v wrt h.\nAnswer: -5694*k**2*v - 6*k - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 220 and 4460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = 0, a + 114 = -2*w + 7*a. Which is bigger: w or -65?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -5*j + 4. Let z be v(-4). Let i(n) = -n**2 + 3*n + 4. Let k be i(3). Suppose k*g - p - 25 - z = 0, 3*g = 3*p + 48. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147b44 (base 12) in base 6?\nAnswer: 11223324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 13. Suppose -7 - o = -4*n. Suppose n*h = f - 189 - 3, 362 = 2*f + 3*h. Calculate the greatest common factor of 23 and f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 16*d + 8. Let g be 2*(-3 + (-39)\/(-6)). Let k be i(g). What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/21 and 97\/11049768?\nAnswer: 77348376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 9*t + 14)*(-4 + 4 - 5*t)*(-4 - 1 + 3) in the form x*t + u*t**2 + i and give u.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 4358 - 4368 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + n + 2*n)*(-2295 + 212*n - 2289 + 4593) as m*n + l*n**2 + c and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1217, 9792, 33119, 78596, 153621, 265592, 421907, 629964?\nAnswer: 897161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - (-2 - -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 13. Let q(w) = 4*w - 1. Let k be q(-3). Let u be z(k). Let u*v + 0 - 1\/4*v**3 + 1\/2*v**2 = 0. Calculate v.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12566382*r - 4099122.\nAnswer: 12566382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 289 - 805. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 4*x**2 + 3*x. Determine l(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.7 - -12.14. Let f = 0.4 + h. Round f to one dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -13. List the prime factors of (-7)\/(-28) + i\/(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/5)\/((-760)\/(0 - -2)). Let z = h - 719\/6175. Let w = 10 - 9.9. Is w bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 - 1\/8*z**2 - 1\/2*z.\nAnswer: -(z + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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 is the units digit of 64192578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2907 = 40*l + 17*l. Let b(h) be the second derivative of h**4\/6 - 2*h**3\/3 - h**2 - 7*h. Let u be b(-5). What is the highest common divisor of u and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6*r + 119. Let n be x(21). Let t(b) = -b**2 - b + 60. What is the remainder when 95 is divided by t(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-144))\/(266\/(-504)).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1922327 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98106560 divided by 19621312.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 24411 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13631145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -9. Let w(q) be the second derivative of q**4\/12 - q**3\/3 - 6*q**2 + 127*q. Calculate the remainder when 68 is divided by w(g).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 6*m**2 - 4*m - 2 - 2 + 12*m. Let r = 2 + 5. What is the units digit of w(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -1545*y + 454. Give t(0).\nAnswer: 454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1265 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times -1436205?\nAnswer: -57448.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5128 is divided by 42.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 - 0.12. Which is the closest to -2? (a) 36 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 0.3, -5, 0.4 in increasing order.\nAnswer: -5, 0.3, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.3 (b) 1\/13 (c) -3\/8 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 2. Let j(g) be the third derivative of -g**5\/60 - g**4\/4 - 5*g**3\/6 - g**2. Let n be j(-6). What is the units digit of h(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14345, -14369, -14395, -14423, -14453, -14485, -14519?\nAnswer: -14555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22810 is divided by 441.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 353\/26 - 456\/13. Find the common denominator of q and -91\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1108)\/(-28) + 22\/(-14) + 2. Let a be 12*(92\/o - 2). Suppose -t + 20 = 4*s - 4*t, -2*s + 5*t + 10 = 0. Is s equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*g + 95*g - 28 = 0. What is the greatest common divisor of 119 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - (15 - -17 - -10) - 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, -17, -104, -279, -572, -1013?\n\"Answer: -5*u**3 + u**2 + 3*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 142187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exx when three letters picked without replacement from peexeexeepee?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*x + 4*x, 2*x = -b - 5. Let r = 6 + -9. Sort b, r, -2 in decreasing order.\nAnswer: b, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -11)\/(2\/6). Suppose t + 0*t - w = 0. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/5*r**2 + 8\/5 + 6\/5*r = 0. What is r?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 209*c - 5060. What is h(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 3 + 0)*(2*m + 3 - 3) - 489*m + 194*m - 43*m)*(-m + 3*m + 0*m).\nAnswer: -672*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f + 0*f + f + (-3 + 3 - 1)*(2*f + 4 - 4) + (-5*f + 2*f + 5*f)*(1 - 1 + 1) + 0*f + 3*f - 2*f in the form p + d*f and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 2. Let j be o(-2). Suppose -3*d - 2*d = j. Suppose d*w - 40 = -4*w. 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: Let n(v) = -v**3 + 29*v**2 - 15*v + 440. Let r be n(29). Solve 0 = -11*d + 6*d + 4*j - 23, -r*d - 9 = 3*j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwwwiii. What is prob of sequence wnii?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of f**2 + 0*f**3 + 1\/168*f**8 + 0 + 0*f**6 + 0*f**4 + 0*f**7 + 0*f + 1\/12*f**5. What is the third derivative of c(n) wrt n?\nAnswer: 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180*(-2)\/(-32))\/(-3)*(-244)\/(-6771)?\nAnswer: -5\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000700514937 to seven dps.\nAnswer: 0.0007005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 184*k - 736, -12 + 17 + 11 = 4*k - 2*n for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 4*s**3\/3 - 7713. Let g(i) = 387*i - 2. Give g(t(p)).\nAnswer: 1548*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1416 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2641003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -p - 3*p + 20, -2*j = -p + 10. Suppose 0*h + 20 = -p*h. Let a be (4\/h)\/(7\/5). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 4*d + 6. Suppose 0 = -5*y - 5*l + 220, -5*l = -d*y - 2*l + 68. Round y to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 7*u. Let p(n) = 63587*n. What is t(p(i))?\nAnswer: 445109*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/16*(-86)\/35260*-82?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i = -3*i - 75 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (28\/(-15))\/((-46)\/(-69)). Which is the third smallest value? (a) u (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.99 - 0.01. Let c be (-6)\/33 - 0\/(-25). What is the closest to -1\/2 in f, c, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 bigger than 448\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -1534*k - 5. Is p(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kpkwppkpwkw. What is prob of picking 2 p, 1 k, and 1 w?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -92 - -95. Suppose 8*k + y*k - 1419 = 0. Is k a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 14*d - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 10:58 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 681 or 676?\nAnswer: 676","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - l + 0*l)*(16*l - 61*l - 39*l).\nAnswer: -84*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 40. Let y be (-46)\/(-10) - 4\/d. Let l be 12\/60*(-10)\/(-6). What is the second smallest value in l, -1, y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 143872.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 6*x**2 - 6*x. Let n be j(-7). What are the prime factors of (76 - -2) + 9 + n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 10:25 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 0*j - 145 + 4\/5*j**5 + 0*j**2 - 53\/3*j**3 - 211\/4*j**4. Suppose f(y) = 0. Calculate y.\nAnswer: -1\/4, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + 10?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -141, -1075, -3599, -8505, -16585, -28631?\n\"Answer: -132*c**3 - 3*c**2 - c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 47086668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 192 divide 749167850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36440014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -4*z + 2*h + 60, -2*z + 3*h + 34 = 0. Let l be (-18)\/z - 6\/(-21). Let n = 1 + -1. Which is the closest to l? (a) 0.2 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1697, -6925, -15639, -27839, -43525, -62697, -85355?\n\"Answer: -1743*l**2 + l + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.626 rounded to zero decimal places?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/9*(-9)\/(6\/2). Let c be (-1 - 0)\/(f\/(-16)). Solve 2*v - 4*v + c = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 2. Let j(p) = 11*p - 3. Let m(d) = -5*i(d) - j(d). Let s = 13 + -22. What is the tens digit of m(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4.478414 kilograms?\nAnswer: 4478.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1217355 divided by 5.\nAnswer: 243471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 70\/(-252)*12\/(-45). Sort -1\/5, m, -3\/8 in decreasing order.\nAnswer: m, -1\/5, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469.68 times 1?\nAnswer: 1469.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 491?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33881 is divided by 296?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -12 (b) 0.3 (c) 387 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*o - 0. Let n = o + 7. What is the highest common divisor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 395 - 385. Calculate the smallest common multiple of 234 and z.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5692944 - 31230429.\nAnswer: -25537485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122422, 122424, 122426, 122428?\nAnswer: 122430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -24*p + 145. Let j(o) = 57*o - 362. Let t(w) = -12*b(w) - 5*j(w). Determine t(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from kkkkxkxkkxkk?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**6\/120 - j**5\/20 + 3*j**4\/8 + 5*j**3\/3 + 5. Let y(r) be the third derivative of z(r). Factor y(k).\nAnswer: -3*(k - 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(468)*4 - sqrt(13) - 3*sqrt(13)*-1)*-5)**2*-3.\nAnswer: 1977300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/6*((-28)\/8 + 2). Solve a*n = -3*w - 9, 0*n + 2*w + 6 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 - 2*r - 1. Let z be n(-1). Suppose -15 = -0*j - z*j. Solve -m - j*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*j + 24. Let f = j - 7. What is the units digit of (4\/(-10))\/(f\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108483569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 51432, 105564, 159696, 213828?\n\"Answer: 54132*g - 2700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 4*u - 16. Let y(a) = a + 5. Give 2*w(f) + 7*y(f).\nAnswer: -2*f**2 - f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 26 (b) 3\/7 (c) 7 (d) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 48301?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 138*u**2 - 3*u + 138 = 0.\nAnswer: -1, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -21, -39, -65, -99?\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 3*h + 3*h + (2 + h - 2 + (-5 + 4 - 11)*(-9 + 9 + 16*h))*(-1 - 3 + 3) + 3*h + 0 + 0 to the form p + g*h and give g.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 + 8*d + 10. Let m be c(-7). Let v(p) = p - 3 + m - 2*p. Let x(q) = -2*q**2. What is v(x(w))?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 102\/4 - (-13)\/26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 223 + 227 = 5*u. Let m = -1637 + 1673. Calculate the highest common divisor of m and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**3\/3 + 7*y**2\/2 + 4*y + 1. Let o be 7\/(3 - (-4)\/(-1)). Is a(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-4)*(-1)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(11\/4)*v**(-6\/17)*v)\/(v*v\/(((v\/v**(2\/13))\/v*v)\/v))**(6\/19))**(-49) assuming v is positive.\nAnswer: v**(-2236017\/16796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -0.3, 17 in ascending order.\nAnswer: -0.3, 17, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 221654224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000282502939 rounded to 6 decimal places?\nAnswer: 0.000283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 - 43751216*j + 87502292*j - 43751076*j.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 132 + -230. Let a = v + 103. Sort 1, 0, a in ascending order.\nAnswer: 0, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1359 and 17748389.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -4719 and -4628 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 13. Calculate the remainder when (-4)\/m - (-1944)\/44 is divided by 6*1*(-5)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2682 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**3)**(1\/13)\/((a**(1\/8)\/a*a)\/a*a*a*a**10) assuming a is positive.\nAnswer: a**(-1133\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5.22 and -12761?\nAnswer: 12755.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188435916009\/104179927196 + 4\/30605149. Let p = v - 9\/148. What is the common denominator of 50\/11 and p?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htkf when four letters picked without replacement from htfhfk?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*t - 55615 + 111189 - 55574.\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - q**2 + 3*q**2 - 3*q**2 + 18*q**3 - 8*q**3 + 6*q**3 + (-2*q - q + q)*(2*q**2 + 2*q**2 - 6*q**2) - q + q + q**3 + 0*q + 0*q - 2*q**3.\nAnswer: 18*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 - 2*a - 1. Let m(d) = d**3 + d**2. Let v be m(-1). Suppose 2*g - 7 = -v*g - 3*p, p + 1 = g. Let o be u(g). Put o, 1, -2 in descending order.\nAnswer: o, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.23 + 53.13. Let x = r + -53. Let a = 0.1 + x. Sort -0.3, a, -1\/5 in descending order.\nAnswer: -1\/5, -0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -557 or -556?\nAnswer: -556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68024?\nAnswer: 2, 11, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of r**3\/3 + 7*r**2\/2 + 2*r + 5. Let c be o(-5). Suppose -4*q = -5*k - 20, -k = -2*k. Sort q, c, -3, -5 in increasing order.\nAnswer: c, -5, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5569 and -0.0374?\nAnswer: 208.2806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**2 - 52*t - 26. Let k(n) = -n**2 - 24*n - 12. Let x(h) = 13*k(h) - 6*r(h). Let v(w) = -8 + w + 34 - 3*w. Give v(x(l)).\nAnswer: 2*l**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.256199 rounded to one dp?\nAnswer: 5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*r + 48. Let s(o) = -o**2 + 12*o. Let w be s(r). What is the units digit of 0 + -2 + 4 - w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 31966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 - -124. Let a(q) be the first derivative of 2\/3*q**3 + 0*q**f + 3 + 0*q. Let i(d) = 2*d. What is i(a(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 160.439 - 0.439. Let q = h - 162. Let z = 0 - -0.1. What is the closest to q in z, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -740463 - -4375. Let y = 345088 + t. Round y to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1\/118 - 533\/236. Let g = 79\/5 + -608\/35. Calculate the common denominator of g and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a century?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/15)*q*(q**(-1\/2)\/q*q)\/q)\/((q**1*q)\/q)**(2\/39) assuming q is positive.\nAnswer: q**(-163\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from ocwokooooockcoccocw.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 169, -1, 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of n**4\/10 + 32*n**3\/15 + 3*n**2 + 65. Determine y so that i(y) = 0.\nAnswer: -15, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/(-4))\/((-1224)\/68))\/((-2)\/(-16)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-6) - 6)\/(-8*(-36)\/(-18432))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 14. Let h(z) = -z**2 - 10*z - 2. Let i(n) = -n**2 - 2*n + 4. Let o be i(-4). What is the lowest common multiple of h(o) and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m. Let u(k) = -k**2 + 4*k**2 - 5*k**2. What is u(w(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 729455 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4.4 * 0.2\nAnswer: 0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(192) + -1 + sqrt(192)*-5 - sqrt(192)) + 4*(sqrt(192) + 1)))**2 + -4.\nAnswer: -432*sqrt(3) + 1805","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10960943 or -10960942?\nAnswer: -10960942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.072 + -0.782. Let a = 64.49 - 65. Let z = a - i. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 9*y + 9. Let x be c(2). Suppose -9*t = -x*t - 48. What is the greatest common factor of t and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)*-2*-4)\/sqrt(11) - (-3 + sqrt(3)*-2 - (sqrt(12) + -5)))**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4679\/2 bigger than -2340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddldlllflddlxdl. Give prob of sequence dlf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.8957 + 0.0043. Round r to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 248 (base 9) to base 8.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 14. Let v be y(-6). What is the closest to 1 in 4, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = d + r, 2*d - 19648 + 19668 = 3*r for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 99*a**2 - a - 2. Let m be y(-2). Let k = m + -1165\/3. Find the common denominator of k and (-12)\/(-16)*(-34)\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*i + 141 + 160 - 228)*(i - i - 2*i**3) in the form l*i**3 + f*i**2 + d*i**4 + s*i + q and give l.\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 171*c - 3*c**2 - 9*c**3 + 2*c**2 - 170*c + 1. Suppose 4*m = 4*p - 20, -5*p = -3*m + 7*m - 16. Calculate b(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005586809 rounded to six dps?\nAnswer: -0.000559","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**3 - 6*t**2 - 19*t - 15. Give l(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 55*z + 719. Let n be b(-34). Solve n*f + 5*r - 25 = 0, -8*f + 5*r = -7*f + 25 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 21*h + 136. Let x = 15 + -10. Suppose 4*j + 5*l = 294, -j - x*l + 77 - 11 = 0. Calculate the remainder when j is divided by s(-10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(704) + -1 + sqrt(11))*-6 + ((2*sqrt(132) - sqrt(132))*6)\/(sqrt(108)\/(2*sqrt(9))).\nAnswer: -42*sqrt(11) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - (-91 + (49 - 7))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 - -26. Let l be 54\/1 + -3 + 0 + 4. Let k = l + a. What is the remainder when k is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126474 + -223018. List the prime factors of u\/(-64) - 2\/(4\/(-3)).\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.2 + -100.200006166. Round f to seven dps.\nAnswer: -0.0000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 32660*n**4\/11 - 2028654*n**3\/11 - 40309308*n**2\/11 - 22974840*n + 150174000\/11 = 0.\nAnswer: -25, -18, 6\/11, 1545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k. Let p(a) be the second derivative of a**4\/6 + 115*a**3\/6 + 2*a + 95. Give p(y(c)).\nAnswer: 8*c**2 + 230*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -10. Let g = v - -10. Suppose -g*d = -5*p - 41, -3*d = 8*p - 3*p - 99. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/18*(-72)\/(-30). Let a = 6.3 + -6.7. Sort -4\/3, a, v in ascending order.\nAnswer: -4\/3, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1558901*c**2 - c - 78901 wrt c.\nAnswer: -3117802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/17 + 71656*b**2\/17 - 631893306*b\/17 - 178559553348\/17.\nAnswer: -2*(b - 18051)**2*(b + 274)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)\/(c*c**(-2\/25)*c))**(-16\/3)\/((c**1)**42)**(-2) assuming c is positive.\nAnswer: c**(8668\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 7:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9301368 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 7*v + 636*v**3 - 631*v**3 - 3*v**2 + 4*v**4 - 7*v to a + l*v + z*v**4 + c*v**2 + t*v**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l\/l**(-16))*l*l\/l**29 assuming l is positive.\nAnswer: l**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g - 218. Is g\/(3\/(-9)*-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17082 and 44081050?\nAnswer: 396729450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33 + -261\/8. Let h = -8 - -15. Let r be (-7)\/(-14) + h\/2. Which is the closest to -1\/4? (a) r (b) p (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:41 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 128. Is 10 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwauwuu. What is prob of picking 2 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1020 + 1094. What is the remainder when 1183 is divided by c?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -110*i + 3113. Determine d(23).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010196673 to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/12 + (-22992)\/(-288). What is the greatest common factor of a and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 11.4?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -153, -0.2, 2\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8961 is divided by 118?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z**2 - 6*z**2 + 3*z**2)*(-3*z + 2*z - 3*z).\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a litre in millilitres?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nzqasqaaa. Give prob of picking 1 z and 1 q.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1695321704?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.9 + -3.1. Let b = h - -3. Let c = 1 + -1.5. What is the third biggest value in -2\/3, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**5\/9 + 6476*o**4\/9 - 5242322*o**3\/9.\nAnswer: -2*o**3*(o - 1619)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/1 - (-143)\/22) + (-7)\/(-6). Put -2, -1\/8, 9\/4, 5, u in increasing order.\nAnswer: -2, u, -1\/8, 9\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -201155401*b + 188476365 wrt b.\nAnswer: -201155401","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 13645*z - 3738632. Give i(274).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 585409.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -221*c. Let a(d) = -11*d. Let u(r) = -119*a(r) + 6*m(r). Let p be u(3). Find the common denominator of (p\/(-60) - -2) + 1 and 67\/14.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 16 + -1 + (4 - 11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-7))\/((-2)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3508 - 58?\nAnswer: 3440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159f1 (base 16) in base 6?\nAnswer: 1522001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*g - 3, 4*g - 8 = 3*h - 3. Suppose -i - 7 = -5*w, -2*i - w + 2*w = -31. What is the least common multiple of g and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 31 = -2*j, 0 = -4*j - 3*w + 5*w + 42. Let g = 151 - 139. Suppose -604*y = -600*y - g. Solve -7 = y*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7378832 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w - 2*w + 5*w + (2*w - 4*w + w)*(1 - 1 - 2))*(-76 + 116 + 107).\nAnswer: 147*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26732 + 26733. Suppose -n + 5 = -0*n. Let p(s) = s**2 - 6*s + 6. Let u be p(n). Solve k + u = -x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * -27.602.\nAnswer: 1104.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 5*d. Let u be j(-6). Let f be (4\/u)\/((-1)\/3). Which is the biggest value? (a) 0 (b) -0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/567 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1060, 1086, 1134, 1210, 1320, 1470, 1666?\n\"Answer: q**3 + 5*q**2 + 4*q + 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-6)\/16) - 3. Find the second derivative of i**j - 2*i + i**5 - 3 + 3 wrt i.\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alcl. What is prob of picking 2 l?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -39, 0, 114, 382, 1 in descending order.\nAnswer: 382, 114, 2, 1, 0, -3, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24704*x**4 + 401*x**2 - x - 9 wrt x.\nAnswer: -592896*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 890241670?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -128862 and 76490?\nAnswer: 205352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120 - 36 - 8 - 140 + 8 - 32 - 19*n.\nAnswer: -19*n - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1353 - -1359. Solve 0 = q - o, -3*q - 9*o + 14*o = -n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -3*x + 605. Suppose 3*u + g - 140 = x, -4*g = -5*u + 742. What is the third derivative of -79*w**2 - w**4 + u*w**2 - 75*w**2 wrt w?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1354920.\nAnswer: 2, 3, 5, 7, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12*l + 21. What is the remainder when 457 is divided by q(1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + 1.9. Sort 0.2, 0, 2\/7, n in decreasing order.\nAnswer: n, 2\/7, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 79 = -65. Let f = -17 - v. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8, 1\/5, -1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -142\/13 and -11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 - 5*g**2 - 6*g - 16. Let u(w) = -7*w. Let r be u(1). List the prime factors of k(r).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 45 = 5*m, 8 = 2*m - o + 3. Suppose -m*d = 15, 2*d + 264 = 3*v - 429. What are the prime factors of v?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence css when three letters picked without replacement from {s: 12, c: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 22*z**2 + 109*z - 404. Let l be v(17). Solve x + 10 = l*a - x, -5 = a + 2*x for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 1003?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2452 divided by 613.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6306, -25621, -57876, -103077, -161230?\n\"Answer: -m**3 - 6464*m**2 + 84*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 5. Suppose -5*v + 2*x + 0*x - 4 = 0, -2*v - 8 = -4*x. Let s(o) = -5 - 1 + v*o**2 + o - 3*o**2. Let c(q) = -5*p(q) + 4*s(q). Factor c(f).\nAnswer: (f + 1)*(3*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47115 and 445311?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16 + (-7)\/((-14)\/(-10)). Suppose g - u + 1 = n, -g = -3. Let z = 15 + n. Calculate the lowest common multiple of 10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -251*n**3\/6 - 363*n**2\/2 - 520*n. What is the first derivative of d(q) wrt q?\nAnswer: -251","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25266, -24512, -22456, -18444, -11822, -1936?\n\"Answer: 109*h**3 - 3*h**2 - 25372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-127796)\/688 - -197)*4\/(-21)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016 + 56?\nAnswer: 3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -14. Suppose f*o = 2*o + 10. Calculate the smallest common multiple of 12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 1 = -16. Suppose 3*q = 2*i - 65, 0*i = 2*q - w*i + 47. Let z = q - -59. What are the prime factors of z?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1458*d - 3018 = 1466*d - 11962. What is the greatest common factor of d and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and 28106.\nAnswer: -4778.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -26. Let z = r - -25.09. Let j = z - -2.91. Put j, 5\/3, 2 in decreasing order.\nAnswer: j, 2, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002678 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66, -279, -478, -657, -810, -931, -1014, -1053?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 1453 and 656583\/452 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 26. Let o be ((-24)\/u)\/((-1)\/(-2)). What is the tens digit of (-55 - -2)*(2 - o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -9*i - 61. Let j(r) = -8*r - r + i - r - 4*r + 15*r. What is j(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7108373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 + 9. Suppose 14 = 3*f - k. Suppose 3*l + 252 = f*l + 3*i, -5*l - i = -643. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 9*d**2 + 16*d - 14. Let g be o(7). Suppose g = -f + 133 + 388. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 833809455 to the power of 1\/3, to the nearest integer?\nAnswer: 941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 7)*4\/2. Suppose -33 = -x*g + 5*i, g - 21 = 2*g + 5*i. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604361 + -194997.42.\nAnswer: 409363.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -7.17088177 + -2\nAnswer: -9.17088177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 15298 = 5*h, -3*d + 854 = 3*h - 8308. What is the hundreds digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times -10\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 91543554 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -8. Suppose -o + w = -10, 22 = 3*o - 0*o - h*w. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 5*o - 1. Calculate y(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d + 23*d + 120 = 0. Suppose c = 4*n + d, 38 = 4*c - 3*n - 2. Solve x - p - 3*p - 11 = 0, -x - c = 3*p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(1\/(-6)). Suppose 5*r = y*d + 34, 15 = -2*d + 2*r - 1. Let g = 7 + d. Solve g*z + 3 = -17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 7:14 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-three eighths of a millimeter?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1821 and 115\/1602?\nAnswer: 972414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 15247686.\nAnswer: 76238430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 + 72 = -13*a. Let q be a - (3 + -5 - -4). Solve 0 = -2*f - 6, 4*g + 8*f - 3*f + q = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 10. Let y = -3 - 2. Let o = 2 - y. Solve u = -4*g - 3 + o for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**8\/560 - u**6\/120 + 2*u**3\/3 + 4. Let y(f) be the third derivative of i(f). What is the third derivative of y(o) wrt o?\nAnswer: 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 5.68. Let o = 0.08 + l. Sort o, 1\/6, -4 in ascending order.\nAnswer: -4, 1\/6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -2 = 6641149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 711 - 678. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 164059.\nAnswer: 7, 23, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 16 = 767*h - 763*h, -5*x + 2*h + 11 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624318667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 6*w + 1. Let l(q) = 7*q + 2. Determine -4*l(m) + 5*p(m).\nAnswer: 2*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a = -42*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4133331 - 4?\nAnswer: -4133340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-8)*f**1)\/((f**(-3)\/f)\/f**(-3)))**(-3\/20) assuming f is positive.\nAnswer: f**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 4*u - 482 = -2*k, 5*k + 5*u - 1160 = 0. Suppose -5*l - k = -11*f + 6*f, -f + 5*l + 47 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/(-24) + 2\/12. Let 2\/9*k**3 + 4\/9 - 2\/9*k - q*k**2 + 2\/9*k**4 = 0. Calculate k.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dhrdrrrb. Give prob of sequence rb.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 14*n**2 - 5*n + 4. Let g = -55 + 63. Let v be x(g). What is v rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4 + 1. Which is the closest to f? (a) 5 (b) -1\/2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(440\/(-165))\/((-16)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1804 divided by 4719\nAnswer: 164\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -2*y - 5*t, -y - 22*t + 23*t = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000048761986 to 6 decimal places.\nAnswer: -0.000049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72966 is divided by 12969?\nAnswer: 8121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7521, -15049, -22577?\nAnswer: -30105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 59\/4734290 or 0?\nAnswer: 59\/4734290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -29. Calculate the greatest common divisor of 5 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**3 + 0*j**3 - 4*j**3 + j**3 + 0*j**3 - 4*j**3 + (0*j**2 + 2*j**2 + j**2)*(2*j + 4 - 4).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) + sqrt(2736)*-2 + 4 + sqrt(76) + -1 + 4 + -2.\nAnswer: -10*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6657, -26156, -58651, -104142, -162629?\nAnswer: -234112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k - 6*k - 227 + 8*k - 17*k.\nAnswer: -2*k - 227","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 0*o - 614 + 624. Let h be a(5). Solve -h - 8 = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/51156 and 97\/437668.\nAnswer: 3939012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 43*a = 40*a, -5*a + 10 = 5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) -2\/31 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.125 + 11.125. Let w = 0.6 - 4.6. Let z = s - w. Which is smaller: z or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a + 4. Let o be n(-5). Suppose -4*t = -7*t + o. Calculate the remainder when (-2200)\/45*(-3)\/4*t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13434*p**2 + 3*p + 6716*p**2 + 1042 + p + 6716*p**2 to the form z*p + q*p**2 + h and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/6772 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3231 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(931) + 2*sqrt(19)*-3)*3 + 0 + 2.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/24008 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 7*z + 2. Let f be w(-4). Suppose -7*n - 8 = -3*n. Let q be (4\/f)\/(0 - n). Which is the closest to 1\/2? (a) q (b) 1\/8 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5 + 1 + 26*l + 8 - 29. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -121?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(14) + 2*sqrt(14))\/sqrt(2) + (sqrt(112) + 1 - sqrt(112))**2 + 3 + (sqrt(2688)\/sqrt(6) - sqrt(70)\/(sqrt(80)\/sqrt(8) + sqrt(10))))*1.\nAnswer: 20 + 105*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3294\/11 + 6621\/22. Suppose 2 = h - 2*j, 1 + 1 = h - 3*j. Suppose 15\/2*l + u*l**h + 0 = 0. Calculate l.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 11. Let u be l(-11). Suppose 3*x + 3*i - 54 = 0, u = 3*i + 3 - 15. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 37 = -2*p + 2*n + 17, 3*p - 21 = -3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 22*s - 19*s + 27, 2*d + 8*s = -58 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 0 + 0)*(-3*s + 3*s - 2*s) + 10*s**5 + 86*s**2 + 8*s**5 - 17*s**5.\nAnswer: -3*s**5 + 86*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-7) + (-78)\/21. Let o(i) = -2*i. Let w be o(p). Let n = 1485 + -1465. Calculate the greatest common factor of n and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/258 and -19\/10.\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2. Let v(d) be the first derivative of d**5\/30 - 2*d**2 - 7. Let x(o) be the second derivative of v(o). Determine x(w(j)).\nAnswer: 8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -367*u**3 + 3*u**2 - 7*u + 3. Determine j(1).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 2*w + 20, 2*w = 3*y - 5 - 10. Let x = 0 - y. Let s(l) = -l**3 + 10*l**2 - 8*l - 5. Let z be s(9). Sort z, x, 1 in decreasing order.\nAnswer: z, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 2. Let v be ((-20)\/(-15))\/(4\/(-6)). Let x(g) = g - 2. Suppose 0 = 4*h + 4 + 8. What is h*r(u) + v*x(u)?\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*k = 12, -3*j = 4*k - 2*k + 6. Let q be (-9 - j)*3\/(-9). Suppose 3*s - 12 = -q. Solve -4*l + s + 13 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000989 rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1203023001001 - -10?\nAnswer: -1203023000331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (952\/(-57) + (-216)\/(-324) - -14)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 9*x + 11. Let j be k(9). Let n(m) = j*m**2 + 3*m**3 - m - 8*m**2 - m - 2*m**3. Let f be n(-3). Sort -5, -0.4, f.\nAnswer: -5, -0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/9*-3)\/((-2)\/3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y + 167*y = 1050 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -428.1 + 2.1. Let s = -428.01 - a. Round s to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433.305 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15525649 to the power of 1\/3, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > 6902\/1165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8.131 * -10.\nAnswer: -81.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p - 2. Let q(c) = -2*c**2 + 8*c + 6. Let w(g) = 8*d(g) + 3*q(g). Differentiate w(r) with respect to r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/i**(-2\/11)*i)*i\/(i*(i\/(i*i**(4\/7)))\/i) assuming i is positive.\nAnswer: i**(30\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13499250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of t**5\/60 + 13*t**4\/24 - 7*t**3\/3 + 87*t**2\/2 - 87. Let q(s) be the second derivative of c(s). Factor q(f).\nAnswer: (f - 1)*(f + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -6\/79, 28, 5\/9, -9 in decreasing order.\nAnswer: 28, 5, 5\/9, -6\/79, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + sqrt(1584) + 1*sqrt(1584) + sqrt(1584))*2)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynny when four letters picked without replacement from ynnnccnycn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 3 = -2*k - 19, g - k = 5. Let a(p) = 7*p + 2. Let w(q) = 0 + 51*q - 2 - 123*q + 66*q. Give g*w(l) + 5*a(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2216181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**2 + 1170*h - 68445 = 0.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes before 1:10 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*-2*-2*sqrt(720))**2 + 5.\nAnswer: 103685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182314 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-2) + 171\/(-19). What is the smallest common multiple of 36 and (18\/(-12) + 3)*(0 - n)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5695 and -0.3755?\nAnswer: 0.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 14*q - 11*q. Let n(f) be the second derivative of f**3\/6 + 2*f**2 - 2*f. What is n(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1385)\/58170)\/((-4)\/(48\/5)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 143991\/5 bigger than 28797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25888 is divided by 8617.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 8 = -5*s, -43 + 60 = s - 2*d. Let x = 7.1 - 6. Which is the smallest value? (a) s (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16179316 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3529896016.\nAnswer: 2, 4211, 52391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 51744*j**2 + 51744*j**2.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22489585 is divided by 7731.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -182*v + 160. Is s(-141) a multiple of 173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*d**2*y + 4*d**2 - d + 2*y with respect to y.\nAnswer: -7*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-48)\/504 - 19*1\/21. Let k be g\/(1\/(185\/(-5))). Is 4 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 248, 194, 82, -106, -388, -782?\n\"Answer: -3*h**3 - 11*h**2 + 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-81\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 2 + -6 + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p + 3. Let f be d(-18). Let r = f + 72. Factor 16*z**r + 727 + 28*z**2 - 727 - 8*z.\nAnswer: 4*z*(z + 2)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q + 3*q - 2*q)*(3*q + 2*q**3 - 3*q)*(-5 + 2 + 9) to the form r*q**4 + s*q + c + x*q**2 + o*q**3 and give r.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/((v*v**(-1\/4))\/v*v))\/v)\/v*v**(1\/13))**30 assuming v is positive.\nAnswer: v**(-525\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - (8\/(-30))\/(30\/(-3075)). Let f = -59 - -31. Does g = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -29, -4, 5, -2.\nAnswer: -29, -4, -3, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 196980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, a: 7}. Give prob of sequence axx.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -10*t + 8. Let g(w) = w. Let a(h) = c(h) + 6*g(h). Differentiate a(s) with respect to s.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 952256 is divided by 8987?\nAnswer: 8621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -40880 * -0.8\nAnswer: 32704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -691*c - 6087 - 7042 for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-50)\/(1756\/1760 - 1). What is k rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**1*o*o*o*o**2*o*((o**(-1)*o)\/o*o)**(-22)*(((o*o**0)\/o)**(-8))**(1\/35) assuming o is positive.\nAnswer: o**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w - 2*q + 1, 5*q - 5 = 5*w. Suppose w*b + 1 = -9. Let g = b - -9. Is 0 less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 305 - (-8)\/(-20)*5. Let y = -479 + h. Let w = 423 + y. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 2:36 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -5\/6*q**3 + q - 1\/2*q**2 + 1\/12*q**4 + 0. Give r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(333\/1258)\/((-24)\/(-1972))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**5 - 3514*d**4 + 1593094*d**3 - 43086014*d**2 - 90965376*d - 46282752 = 0. Calculate d.\nAnswer: -1, 31, 864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 e when four letters picked without replacement from {f: 1, e: 2, h: 2, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + g - 4. Let a(c) = 4*c**2 + 9*c - 19. Let l(y) = -a(y) + 3*d(y). What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 10:01 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 20. Sort -1\/5, -2\/5, c in ascending order.\nAnswer: -2\/5, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-5)\/(l*l\/l**3)*l**(1\/2)\/(l*l**(-1)) assuming l is positive.\nAnswer: l**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/3346504 and -55\/2928191.\nAnswer: 23425528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9 - -7. Put -4, v, -1\/6 in increasing order.\nAnswer: -4, -1\/6, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97028 = -4*w - 3482*k + 3487*k, 0 = 3*k. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.458\nAnswer: 5.458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/5, -0.4, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28138 - 10852. What is the ten thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1861*t + 10*t**3 - 1861*t.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**3 + x. Let s be q(1). Let u be (4 - 262)\/s - 3. Let p = u + 86. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 45\/8, 0.4, -4\/3, 82?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f\/(f*f*(f\/f**(-3))\/f*f*f))\/f)\/f**(4\/5))\/(f**7*f*f**(-2\/7)*f))\/(((f**(-4)\/f*f*f)\/f*f**(1\/4))\/(f**(-1))**14) assuming f is positive.\nAnswer: f**(-3467\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let b be ((-3)\/(-4))\/((-78)\/(-104)). Suppose 4*m - b + 1 = l. Solve 3*q + 3 - 6 = m for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -230*z - 16695 = -559*z - 574*z - 3150 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 36*l - 8 + 1\/3*l**3 - 6*l**2. Factor n(b).\nAnswer: (b - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 13582*g**2 - 3886*g**2 + 2 - 3872*g**2 - 5854*g**2.\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 92 = -304. Let v(t) = 7*t**2 - d*t - 38*t + 83*t. Calculate v(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.39 in 3\/4, -2\/19, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.083 - -2.917. What is the closest to -1 in 1, g, -33\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -81*s. Let t be p(-1). Let g = t - 1217\/15. Is g smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - 0 - (-441 - -435)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-224878)\/10802 - (0 + 6\/33)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/8 + 18\/40. Let y(k) = k**2 + 2*k - 6. Let q be y(-6). Suppose 5*l + 5*s + 25 = 0, 4*s + s + q = 2*l. Do l and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110001 - -11?\nAnswer: 110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85\/2 - 42. What is the nearest to 2 in g, -4, 0.2, -0.002?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/105*5\/5)\/((24\/(-12))\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20611 - -20701. What is the least common multiple of i and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -104, -223, -400, -641, -952, -1339?\nAnswer: -1808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 - 22*m - 54. Let k be q(-4). Solve -p - 14 = -6*f + k*f, -2*f = -4*p - 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14606 divided by -2.\nAnswer: -7303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250320, -250283, -250222, -250137?\nAnswer: -250028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-36)*(-1 + -1)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**3\/5 - 14*k**2\/5 + 17*k\/5 + 6 = 0.\nAnswer: -15, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p + 16. Let z be g(0). Let o = 19 - z. What is the smallest value in 2\/19, 2\/11, o?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 55*j**2 - 2*j + 8. Let f be g(2). Calculate the highest common factor of f and 168.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*z + 2 + 0 - z)*(3061 - 468 + 3058 + 4220) to the form n*z + t and give n.\nAnswer: 19742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y. Suppose -4*h + 10 = h. Let v be (-4 - -1 - -4) + h. Let k(m) = 4*m**2 + 0*m**2 - 3*m**2 + v*m**2. What is k(i(p))?\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61.777 + -0.677. Let k = -61 + f. Let a be 3 + (2 + 0 - 2). What is the closest to k in 0.5, -5, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201312 + 3?\nAnswer: 201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2 - ((6 - -2) + -14).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 7*q - 8. Suppose 17 = r + 19*n - 16*n, 3*r - 4*n + 1 = 0. Give x(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - c + 7. Let w be b(0). Suppose -w*p - 1 = -15. Find the third derivative of -10*i**4 - p*i**4 + 9*i**2 + i - i wrt i.\nAnswer: -288*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 822*k - 106855. What is y(130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32349 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-6) + 5\/((-75)\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) 4 (c) 2\/13 (d) 159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let c(j) = -6*j**2 + 2*j + j**3 + 7 + 2*j + 0*j + 2*j**u. Calculate the remainder when c(5) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.46 and 0.18?\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -72\/19, -3\/5, -2\/133 in decreasing order.\nAnswer: 32, -2\/133, -3\/5, -72\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 44.16 - -4.84. Let c = t + -47. Is c >= -145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 3, b: 1}. Give prob of picking 1 b and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 71, 44, 17, -10, -37, -64?\n\"Answer: -27*i + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/50 + 608\/7600.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8711.1 + -8766.049. Let w = -0.051 + m. Let f = 55.00000133 + w. What is f rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**4 - 882*t**3 - 7248*t**2 + 554400*t = 0.\nAnswer: -28, 0, 22, 300","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, y: 2, l: 7}. What is prob of picking 1 l and 1 i?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 5*m - 2*m)*(-6*m + 29*m + m)*(-5 + 3 + 5).\nAnswer: -360*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (837*y**4 - 537*y**4 + 183*y**4)*(1 + 1 - 3)*(2 + 2 - 2).\nAnswer: -966*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/127 (b) 6 (c) 2 (d) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w. Let k(c) = 12*c - 36*c + 17*c. Give k(p(z)).\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -0.5, -2, 0.1, 0.9, 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -386710 at least -8\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m**3)*(-75590*m**2 + 43*m + 5 + 75591*m**2 - 2).\nAnswer: m**5 + 43*m**4 + 3*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i + 10. Let v be z(-5). Let h = -38 - v. Let r = h + -14. Which is the third biggest value? (a) r (b) 0 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4112090123 - 43\nAnswer: -4112090166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3536.61*2\nAnswer: 7073.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-3*4))\/((-28)\/16)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*3\/(-90)*-4. What is the fourth biggest value in 3\/5, 0.1, w, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7cb71776 - 2?\nAnswer: 7cb71774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 + 2*t**3 + 50 + 8*t**3)*(0 - 3 + 0)*(-5 + 0 + 4) + 3*t + t**3 - 3*t in the form q*t**2 + v + s*t + c*t**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udxu when four letters picked without replacement from uxxxuuxudxxdxx.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**3 + 3*l + 173*l**2 - 1 - 176*l**2 - l**3 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583530149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694761 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 - -18. Let j be f + -1 + (4 - 3). Factor 2*g**4 + 0*g**4 - g**j + g**3 + 0*g**3.\nAnswer: g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1040824 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 2 - 2\/3*x**3 + 0*x + 0*x**2 + 1\/24*x**4 + 3\/40*x**5. Let v(g) be the third derivative of w(g). Calculate v(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2. Let s(k) = -114730*k. Give x(s(h)).\nAnswer: -65814864500*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/10 and -14 - -23 - 737\/72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (230*o + 135*o + 126*o)*(-2*o**2 + 2*o - 2*o) - o**2 + o**2 + 3*o**3 as k*o + z + a*o**3 + n*o**2 and give a.\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 2\/5 (c) 1\/3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 577037*y**3 - y**2 + 3*y - 2. Let v be b(1). Let q = v + -330037. Round q to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m**3 + 2*m**2 - 2*m - 378. Let w(h) = -3*h**3 + h**2 - h - 1. Determine i(d) - 2*w(d).\nAnswer: 11*d**3 - 376","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -9*i**2 + 3*i. What is c(-5)?\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 2*m**2 + 2*m - 4. Let u(l) = 3*l**3 + 4*l**2 + 5*l - 9. Let x(y) = -2*y**2 + y - 1. Let o be x(7). Let n = o - -94. Calculate n*u(d) - 5*z(d).\nAnswer: d**3 - 2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -9211964.92 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 59?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 8*s + 5. What is v(9)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2576.418442 rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -1.195\nAnswer: 2.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67434858 divided by -1.\nAnswer: 67434858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 261 = 2*b - 3*d, -b - 59*d = -56*d - 153. Calculate the remainder when 174 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-6))\/(28\/27 - 1). Solve -5*p - 1 = j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*c = -56*c - 289*c - 392 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2 - 10*r + 6. Let m(i) = -4*i - 12*i + 11*i**2 - 5*i + 17 - 4. Let k(c) = -3*m(c) + 7*w(c). Is k(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6500309959\/6287001 - -1\/1796286. Let r = -1036 + l. Find the common denominator of -21\/2 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -4, -3*w + 5*o + 33 - 5 = 0. Let m(u) = w + u + u**3 + 9 + 0*u**2 + u**2. Is m(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 610\/573 (b) -189 (c) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -25765760.742+3\nAnswer: -25765757.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 4:55 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, u: 2}. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/19, -0.073 in descending order.\nAnswer: -0.073, -2\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + -3 + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5 - 5*x**4 + 642*x**3 - 3940*x**2 - 20216*x + 23520 = 0 for x.\nAnswer: -30, -4, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 570517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/10 + -1 - 69\/(-15). Suppose -7*w = -m*w + 82. Calculate the common denominator of w and -125\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5160*i - 259 = 5164*i, -5*i - 55 = 0. Suppose 5*s = -0*s + 1050. Calculate the remainder when s is divided by c.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-371)\/49 - -9)\/(1\/7). Solve -f = 4*x - z, 2*x + 3*f = 3*x - 9 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -z. Suppose 47 = b - z*b. Suppose -i + 38 = -b. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 7*h**4\/2 + 24309535*h**3\/2 + 28140640157007*h**2\/2 + 10858501514487019757*h\/2 - 1551215650667415173.\nAnswer: (h + 1157597)**3*(7*h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053187057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 - -71.302647?\nAnswer: 184.302647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t. Let q = 2.5 - 2.4. Are q and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -200021322 (base 5) to base 4\nAnswer: -2333011320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**4 + 641*j**3 - 26029*j**2 - 142389*j - 175518 = 0 for j.\nAnswer: -3, -2, 49, 597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 0*v - v - 5, -2*c - 5*v - 13 = 0. Let d(j) = 9*j**3 + 1. Give d(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 3*f + 2*y - 5*y, 3*y - 9 = 0. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 388.4641 - -0.1359. Let x = 441 - b. Is x < -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6 = -4*b, -2*b + 5 + 10 = 3*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1061 - 235. Suppose 0 = 4*x - m + 254. What is the highest common divisor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 - -19. Suppose -3*y + 3*i = -45, -i - b = -2*i. Suppose x - 12 + y = 0. Let c(t) = t + 3. Give c(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 6*g**2 + 11*g - 7. Let f be y(7). Suppose 0 = 5*m - f - 29. Solve l + m = -4*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 4:11 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28957 - 0.03243. Which is the third smallest value? (a) -2\/5 (b) -5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21328 and 44419.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 - 7*o - 4. Suppose 6 = 21*b - 24*b. Let y = b + 11. What is the remainder when p(6) is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 - 20. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320700.2 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + -1 + -3 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1656, 6645, 14962, 26607, 41580?\n\"Answer: 1664*t**2 - 3*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = f + 2*a, -f - 3*a - 2*a + 7 = 0. Suppose f*h + h - 15 = 0. Let s = 9 - 1. Calculate the remainder when s is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 6*r + 9 = 0, -5*r - 53 = -2*u - 56 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51438*x - 51512*x + 102953*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 4*w - 3*w)*((6*w - 4 + 4)*(5 - 3 - 1) + 2517 - w - 1322 - 1509) + (-3*w - 2*w + 4*w)*(2*w + 0 + 0).\nAnswer: 3*w**2 - 314*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let u(c) = 52581*c**2. What is w(u(z))?\nAnswer: 157743*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j**2 + 22*j + 22. Let n = -146 - -155. Suppose -n*r = -19*r + 20. Let g(z) = -8 + r + 12 + 9*z + 3 - z**2. Determine -12*g(v) + 5*i(v).\nAnswer: 2*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 7*b + 30. What is h(-15)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 not equal to 3\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**3 + 12634 - 6*m - 5*m - 2*m**3 - 12542 + 2*m**3 to the form b*m + o + a*m**2 + g*m**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38540 and 60680.\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -180*d*k**3*n + 6*d*k**2*n*q - 4807*d*n*q - 64598*k**3*n*q + 5*k**2*n - k**2*q - 2*n wrt k.\nAnswer: -1080*d*n - 387588*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 33d4d06?\nAnswer: -33d4d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 21. Let q = a - -11. Suppose q*k - r + 0 = 40, -4*k + r = -55. Is k a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*b**4 - 2 + 200*b**4 + 6*b - 99*b**4 + 2*b**3 to the form u*b**4 + t*b + j*b**2 + o*b**3 + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 12\/13 (b) -4 (c) 161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2 + 21*j - 15. Let z be c(12). Let o = z - -56. Solve -3*r + 6 = q, 0 = -o*q - 2 + 17 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-63)\/(-2)*(-10)\/(-15). Suppose -v = -1, 0 = -o + 5*v + 3 + i. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*o = -26, -3*o + 8 = 2. Suppose x = -a + 3. What is the second smallest value in 0.2, x, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 2*l + 12. Solve -j + l*j + 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - u - 2 + 1 = 0, -2*c - u = -2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1856, 1907, 1958?\nAnswer: 2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 43 (b) -5 (c) 61.9 (d) -0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 1. Suppose -3*n + 8 = -4*n. Let j = 7 + n. Let h(r) = r + 2. What is j*h(x) + 5*q(x)?\nAnswer: -x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7788 and 93204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4 - 2)*(0*m - 2*m + 4*m) - 30*m - 26*m + 15*m to u + f*m and give f.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 39051, 39961, 41477, 43599, 46327, 49661, 53601?\n\"Answer: 303*d**2 + d + 38747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19130 rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3*f = 48, 2*z - 4*f + 5*f = 35. Let m(g) = g**2 - 2*g - 2. Let a be m(-2). What is the first derivative of -a*d + z - 3*d - 7*d - 3 wrt d?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 363*b - 727. Let c be h(2). Sort -0.5, -0.1077, c.\nAnswer: c, -0.5, -0.1077","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(2*2\/(-8)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4375 and 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (60\/7 - 8)*91\/(-1118)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-9))\/((-438)\/(-1314)*(-1 - -5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 690*u**4 - 4*u**3 - 2*u**2 + 4*u + 634. Let s(r) = 2*r**3 + r**2 - 2*r - 1. Let f(z) = -l(z) - 2*s(z). What is the derivative of f(w) wrt w?\nAnswer: -2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -773*a**3 - 10557*a**2 - 12801392*a.\nAnswer: -4638*a - 21114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29028729?\nAnswer: 3, 9676243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -68. Let x = -466\/9 - j. What is the nearest to 0 in x, -2, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 376 = 406 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*(13\/(-4) - 3). Let x be 30\/n*(-15)\/2. Suppose -2*z = -x + 3. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j - 3. Let p be m(4). Suppose p*s - 23 = 2*y - 89, -5*s = 5*y - 130. Calculate the remainder when y is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344127463.\nAnswer: 53, 1531, 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3445, -6889, -10331, -13771?\n\"Answer: a**2 - 3447*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-600)\/(-25)*10\/(-240). Let q = -5 - -8. Let f(k) = 1 + k + q*k**2 + k + 4*k**2. Determine f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -12*v**4 + 24*v**3 + 45*v**2\/2 + 6*v - 19. Find x, given that a(x) = 0.\nAnswer: -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26579.\nAnswer: 7, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*y - 55*y = 8*y + 392 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*2\/(-2) - -1. Suppose -u = -w*u + 20. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -274765 = -5*t - 302*y + 297*y, 0 = -y. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w. Let b(i) be the second derivative of i**4\/6 - 4*i. Give v(b(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**3 - 38*h**3 + 16*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17092, -17096, -17100?\nAnswer: -17104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769698 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3279 is divided by 582?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (77\/(-28))\/(-11)*-88.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 64936.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 24*h - 1 - 107\/2*h**2 - 65\/3*h**3. What is the derivative of o(a) wrt a?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1053168 - 200612774.\nAnswer: -201665942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 1. Let b(f) = -5*f**2 + 3*f + 6. What is -b(c) + 4*g(c)?\nAnswer: 5*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97267619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16448735 + 5?\nAnswer: 1644873a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 30, 61, 102?\n\"Answer: 5*x**2 + 6*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 979 is divided by 221?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m + 11. Let a(t) = 30*t + 30. Let c(y) = -3*y - 3. Let r(l) = -4*a(l) - 42*c(l). Calculate -4*h(o) + 7*r(o).\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -30.7. Sort u, 0, -3\/7, -2\/9 in decreasing order.\nAnswer: 0, -2\/9, u, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2013 + 4?\nAnswer: -2004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 10*p - 20 = 0 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77707572?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4847 - -154869. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2896814 = 269*r + 2909995 for r.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z = -75. Suppose -4*o + 39 + 9 = 0. Let u = z - o. Calculate the remainder when u is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + -1 - (-15)\/18. Let j(v) = 11 + 3*v + v - 2*v. Let k be j(-8). Which is the nearest to 1? (a) s (b) 5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -263 + 263. Suppose b = -78*h + 77*h + 143. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -d**6\/90 + d**5\/12 - d**4\/4 + 7*d**3\/18 - d**2\/3 + 2*d + 68. Factor w(r).\nAnswer: -(r - 2)*(r - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + -0.09. Let j = -0.23 - d. Which is the third biggest value? (a) j (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 180 = 284 - 156. What is the highest common factor of j and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 + 0.8. Let d = 13\/15 + -6\/5. Which is the closest to d? (a) 2 (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*r + 51*r - 23*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*u**2 + 60*u**2 - u + 4*u**3 + 9*u**3 + 133*u**2.\nAnswer: 13*u**3 + 288*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6385 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/24 and 89\/318?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 5*z**2 - 14*z + 2. Let p be t(8). Let f = -195 + p. Solve 0 = -4*a + f + 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12242\/499 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3886 - 35047\/9. Suppose -3*i + 14288 = 5*w, -i + 8573 = 3*w + i. Let h = w - 14342\/5. What is the common denominator of h and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -360.9470198 - -360.95. Let b = d - 0.003. Round b to six decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 908.892 nanograms to kilograms.\nAnswer: 0.000000000908892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.662786 seconds in minutes?\nAnswer: 0.0277131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4889461 is divided by 1843.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 5026*a**2 - 1725228*a.\nAnswer: 2*a*(a - 2819)*(a + 306)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/6*546*(-66)\/(-693)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) - (3*sqrt(432) + sqrt(432))*6)\/sqrt(9) + ((sqrt(528)*-2)\/sqrt(11) + 2)**2.\nAnswer: -124*sqrt(3) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 5*l**6\/6 + 5*l**3\/3 + 5. Find the third derivative of f(h) wrt h.\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 9, 0.3, -10\/9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 20 = 0, 4*k = -2*c + 4*c - 380. Is c a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*h + 22*h - 23*h - 64 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 4*f + 14. Let p be q(-3). Suppose 2*i - p = -10. Which is smaller: -7\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/(-8) + 3\/12. Let o = w - -9. Solve o*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 5*y - 2, 5*k + 0*k - 5 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 8270*f - 2 - 31*f**2 - 8272*f - 36*f**3 - 46*f**2 as r + s*f**2 + i*f**3 + t*f and give i.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 527 = r, -2*i + 0*r = 4*r - 218. Suppose 0 = 3*f - h - i + 15, 2*h = -2*f + 60. What is the smallest common multiple of 9 and 4*(-4)\/(-40)*f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 2, -3, 2\/7, -5, 642009 in ascending order.\nAnswer: -5, -3, -0.1, 2\/7, 2, 642009","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32342532.\nAnswer: 2, 3, 2695211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 117*r**4\/5 - 51654*r**3\/5 + 76623*r**2\/5 - 27726*r\/5 + 528 = 0. Calculate r.\nAnswer: 2\/13, 1\/3, 1, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 6*u - 3*w - 27, 5*u + 2*w = 38. Solve 2 = -r, 12*c + 4*r = u*c - 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 585 - 382. Let t = 1623\/8 - w. What is the second smallest value in t, -2\/9, 0.5, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/9*j**3 + 0*j + 16\/3*j**2.\nAnswer: -2*j**2*(j - 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45137800*r**5*u**3 + 4*r**5 - 2*r*u + 2*r - 345*u**3 + 143*u**2 + 3 wrt r?\nAnswer: -902756000*r**3*u**3 + 80*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81397, -162733, -244069, -325405, -406741?\nAnswer: -488077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4*g + 16 = 0, -471*q + 473*q - 27 = 5*g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2060?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -1363*f**4\/12 - 805*f**2 - 957*f. Differentiate b(w) wrt w.\nAnswer: -2726*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/24 and (42\/(-528))\/((-256)\/72 - (-4)\/(-9))?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/((-2)\/(-3))*3. Let f be (-6)\/((-6)\/z) + (10 - -1). Let k be ((-14)\/f)\/(0 - 1\/13). Solve 12 = -3*h - 3*j - 0, -4*h - 3*j - k = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83100446?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47 - -1)*1\/(5 + 1 + -3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*(-4 + (sqrt(1872)*-1 + -3 + sqrt(1872) - (sqrt(1872) + -6*2*sqrt(1872) + sqrt(1872)))))**2)*4.\nAnswer: -26880*sqrt(13) + 2995968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39659 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 2*w + 19 - 12.\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 432 and 234252?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39000)\/7)\/(7\/441). Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/21*(-11)\/((-22)\/(-6)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1027749*j**2 - 121949 wrt j.\nAnswer: -2055498*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (424\/(-2226))\/((-16)\/60)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 6*f**2 - f - 2. Let i be n(-4). Let g = -46 - i. Let q = -3 - g. Is 14 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -262*y**3*z**2 + 8*y**3*z + 15*y*z wrt z?\nAnswer: -524*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46 - 146 - -2) + 134?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40977762 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 + 3.02. Let s = z - 3.1. Let f = 13\/22 - 1\/11. Which is the nearest to s? (a) -0.3 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, n: 5}. Give prob of picking 3 n.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17*z - 47. Let u be l(-3). Suppose 6*y + 3 = 3*y + 3*b, 0 = u*b - 12. Factor 4*t**3 + 8\/5*t + 0 - 28\/5*t**y.\nAnswer: 4*t*(t - 1)*(5*t - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(975)*-3 - sqrt(975)) + sqrt(975))*3)\/(((-3*sqrt(36) + sqrt(36))\/sqrt(12) - sqrt(3)) + sqrt(108)*-4).\nAnswer: -85*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x**2 + 2*x - 1. Suppose 4*d + 5 = 3*k, 3*d = -3*k + k + 9. What is u(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 + 7*i - 2. Let f(u) = 24*u**2 + 57*u - 15. Let h(v) = 4*f(v) - 33*l(v). Determine r, given that h(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108426374737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s + 74. Let t(m) = -m + 15. Let n(k) = -2*p(k) + 11*t(k). Let r be n(-9). What are the prime factors of (-4)\/r*(-51 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 44\/(-12))*159. Let j = d - -53. Which is the closest to 0? (a) -3 (b) j (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197453048 to the nearest integer?\nAnswer: 14052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 41, 9, 6774, 5 in decreasing order.\nAnswer: 6774, 41, 9, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**2. Let f(v) = -2*v**2 - 41211*v + 5. Give f(c(h)).\nAnswer: -32*h**4 + 164844*h**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 3 = 2*w - 23, 0 = 5*w - 2*a - 77. Let f be (-3 + w\/10)*-4. Let u(b) = -b. What is u(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -636 - 924. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51127059 is divided by 7522?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/8)\/(2\/(-76)). Let c = 22 - t. Solve -c = 5*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38478 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 + (-55)\/(-10). Let a = 31\/4 - l. Let h = 29\/65 - -2\/13. Put h, -0.4, a in decreasing order.\nAnswer: h, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 40 - 58. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -1*sqrt(171))\/sqrt(9) + -3.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 h, and 1 a when three letters picked without replacement from hhuohahvh?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*3*sqrt(352) - sqrt(352))\/(sqrt(11) + sqrt(11)*-1*6).\nAnswer: -32*sqrt(2)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-30))\/l)\/(l**(-7\/5)*l))**(-35) assuming l is positive.\nAnswer: l**(-1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-18)*100\/375.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*m - 51. Let y be m\/(-14) - (-2)\/(-14). Do y and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6749879078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/2376*42*-12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 + 58. Suppose 4*m + 300 = -5*l, 4*l = 2*m - 0*l + 124. Let i = x + m. Is i a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**4 + 4*u**2 - 4*u**2 + (-8*u**3 + 14*u**3 + 13*u**3)*(0 + 0 + u) + 0*u**4 - 7*u**4 - 24*u**4)*(5 - 5 + 4*u).\nAnswer: -52*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 7 = -4*m - 2, 17 = 4*m + p. Let q be (m - 5) + 147 + -9. Calculate the highest common divisor of 184 and q.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1079832 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321 - -570. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 17*q**2 - 2*q - 4. Calculate s(17).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 12.2. Let t = k + 3.2. Let v = 41.7 + -41.4. Sort 0.2, t, v, -4\/7 in increasing order.\nAnswer: -4\/7, 0.2, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i + 19. What is the least common multiple of 6 and n(-7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1779 - -8180. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c = -2*a + 2, a + 5*c = -19 + 44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 14*w + 35. Let j be s(11). Suppose 3*h + 4*d = 1567, -2*d + 4 = j. What are the prime factors of h?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -351918 - 407087 = -503*y + 405943. Are y and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i**2 - 4*i + 2. Let l be 2*(5 + (-9 - -2)). Let k(r) = 12*r**2 - 7*r + 3. What is l*k(s) + 7*c(s)?\nAnswer: -6*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**4 + 3554679*r**3 - 2*r**2 - 94*r + 22869.\nAnswer: 96*r + 21328074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1800001*d - 7. Let i be w(7). Suppose -2*l - 5*m + 0*m - i = 0, -m = 5*l + 31500000. What is l rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10824)\/440)\/((-7052)\/25800)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49753606?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -23*u**2 - u - 1. Let l be v(-1). Let j be (8\/(-16) + 2)*(-15 - -13). Put j, 0, l in decreasing order.\nAnswer: 0, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4 - 33*p**3 - 189*p**2 + 81*p + 810 = 0.\nAnswer: -3, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 111, -4\/3, 103, -1, 8.\nAnswer: -4\/3, -1, 8, 103, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 61. Let b be -3*(-2)\/3 - 2. Let y be q(b). Let i = y + -33. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010101201101202 (base 3) to base 14.\nAnswer: -2207157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -8*j**3 - 6*j**2 - 6. Let p(w) = 35*w**3 + 21*w**2 + 13. Let f(l) = 23*l**3 + 14*l**2 + 9. Let t(n) = -8*f(n) + 5*p(n). Determine 7*k(s) - 6*t(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 - 28*p + 47. Determine c(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2652654448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.91 * -503877.\nAnswer: 962405.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55974448?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33820 is divided by 165?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - 36\/26*-3. Find v such that 4\/13*v**2 + 0 + n*v + 0*v**3 - 2\/13*v**5 - 4\/13*v**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-16)\/(-20))\/(4\/(-10)). Let w be a\/((-1)\/(-4)*-2). Suppose -4*y = -h - 47, 6 = y - w*h + 13. What is the highest common divisor of 91 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2341, 2345, 2349, 2353, 2357, 2361?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 31. Let i be p(28). Solve 3*r - 2*r + i = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*v + 134*v - 84 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1 + sqrt(1100))*-5*4)**2.\nAnswer: -288000*sqrt(11) + 15854400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2673372.6 months to centuries.\nAnswer: 2227.8105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 11*f**2 + 3 - 3 - 9*f**2. Let d(h) = -3*h - 4*h + 2*h. Give p(d(k)).\nAnswer: 50*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5226163 (base 9) in base 2?\nAnswer: 1010101001110111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 4*s + 4*s + (-3 + 1 + 1)*(-2 + 1 + 0)*(-1 + 2 - 4)*(-22*s + 55*s + 102*s).\nAnswer: -404*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f = -304 - 296. Is 1\/2 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*d - 170*d + 62*d.\nAnswer: -184*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 759. What is the units digit of d(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-10)*-1*-8. Suppose 2*b = -r - r, r + n = 3*b. Solve b*d + 20 = 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 5 = 4*p + p, 0 = -p + 3*l + 11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-5) - 198\/(-45). Is (-1 - (3 + -3105)) + -1*z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/9441 and -37\/19407549.\nAnswer: 58222647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*k**2 + 0*k**2 + 2*k**2)*(5*k**2 - 3*k + 3*k) + (3*k**3 - 2*k**3 + k**3)*(-k - 4*k - k) in the form b*k**4 + r*k**3 + m*k + o*k**2 + l and give b.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 6*f - 334 = 5*o, 4*o - 379 = f. Let u be (-4)\/14 - 7872\/(-14). Let w = f + u. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10683, 9996, 8687, 6444, 2955, -2092?\nAnswer: -9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 66. Let y be l(-11). Suppose y + 26 + 16*j - 19 - 2*j**2 = 0. What is j?\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uijojjuiuuiiiuiiijo. Give prob of picking 3 i and 1 u.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(448))\/(sqrt(4) - (sqrt(4) + sqrt(4) + (sqrt(324) + sqrt(324) + sqrt(324) + (sqrt(324) - 3*sqrt(324)) - sqrt(324)))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - -2. Suppose 3*s = 6 + r. Let h(o) = -s*o - 8*o + 18*o - 3. What is h(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 PM and 7:24 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74, 623, 2110, 5003, 9770, 16879?\nAnswer: 26798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 20. Suppose 208 = 5*i - 0*x - x, 3*x - 196 = -5*i. Suppose -5*h - i = 3*f - h, -3*h = f + 22. List the prime factors of g(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2\/71, -2\/7, -5, 2\/59, -2?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 66125*w**4 + 6621700*w**3 + 60432820*w**2 + 8312000*w + 288000 = 0.\nAnswer: -90, -10, -8\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73011508 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -645*c = 20*c + 52858416 - 241340031. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193698030?\nAnswer: 2, 3, 5, 1289, 5009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t\/(t*(t\/(t*t**(1\/6)*t)*t)\/t)*t)**(-8\/3) assuming t is positive.\nAnswer: t**(-76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000422134461 rounded to 6 dps?\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 4. Let t(d) = -d**2 - 14 + 4 + 4*d**2 + 17*d - d**2. Let c(h) = h**2 + 9*h - 5. Let a(j) = 7*c(j) - 4*t(j). Give -4*a(p) - 5*i(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 828 + -464. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55124629*t**3 - 17581377*t**2 wrt t?\nAnswer: 330747774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -3*p**5\/20 - p**4 - 2*p**3 + 104*p. Factor j(x).\nAnswer: -3*x*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005923 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 2}. What is prob of picking 2 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*h**3\/2 - 112*h**2 - 4759*h\/2 - 95 = 0. Calculate h.\nAnswer: -10, -1\/25, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -95716, -95670, -95624?\n\"Answer: 46*p - 95762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at most as big as -83489\/5080?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1307999 or 101?\nAnswer: -1307999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2\/5 + 10264*f + 616128\/5 = 0. Calculate f.\nAnswer: -12, 25672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18285487.\nAnswer: 11, 103, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 195*w + 10. Let j be b(13). Let n = 12764\/5 - j. Let i = -2\/2273 + 152299\/9092. Calculate the common denominator of i and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 13*i + 34. Suppose 11*t = 18*t - 105. Let s be z(t). Suppose -296 = -s*j + 44. What are the prime factors of j?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (sqrt(539) - (-1 + sqrt(539))))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 2*n - 22 = 0, -34 = -5*n - 24 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26992292 and 3271?\nAnswer: 3271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 47*h + 7. Let m(s) = -20*s - 3. Let j(o) = -3*c(o) - 7*m(o). Let i(b) be the third derivative of -b**5\/20 + 13*b**4\/24 - 5*b**2. Give j(i(k)).\nAnswer: 3*k**2 - 13*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 + -1.2. Let m = o + 0.6. What is the second biggest value in -2\/7, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/4130 and -5\/1239.\nAnswer: 12390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 15 = 6*w. Put -2, 17, w in decreasing order.\nAnswer: 17, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6929295 divided by -22719\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 145225 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*v - 166*v = -580. Calculate the remainder when v is divided by 37.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**3\/9 - 4*w**2\/9 + 16*w\/9 + 16\/9 = 0 for w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 19 = j, 6*x - 4*j = 3*x - 16. Let v be (-2)\/8 + (-9)\/x. Let w be (-4)\/16*((-3)\/6 - -1). What is the nearest to v in -5, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1*a)\/a)**(3\/20)*a\/(a*a\/(a\/a**(-4\/21)*a))*a**(-2\/7) assuming a is positive.\nAnswer: a**(443\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d + 64. Let s be (2\/6)\/((-6)\/(-1422)). Let i = s - 89. Let r be x(i). Solve 0*k - 2*k - r*j + 8 = 0, -4*k + 4*j - 32 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (18 - 9 - 11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1300)\/(-1040))\/(18\/(-16)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5297970379 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t - 15165 = 0. Suppose -19*b + t = -10*b. Does 35 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103691 and -112.\nAnswer: 11613392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*f = -270*f - 192. Let y(w) = 11*w**3 - 26*w**2 + 17*w - 17. Let j(r) = 4*r**3 - 9*r**2 + 6*r - 6. Calculate f*y(c) + 17*j(c).\nAnswer: 2*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6565 - -6667) + (-36 - -1)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-35)\/((((p\/p**1)\/p)\/p)\/p))**(-18))**(-19) assuming p is positive.\nAnswer: p**(-10944)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1569 or 1570?\nAnswer: 1570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 70550 = -4*r, r + 5*h - 16161 = 1466. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-20)*27356\/(-6). Let r be 12334\/6 + (24\/18)\/(-2). Let i = r + a. Calculate the common denominator of -11\/6 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*a - 5 = 0, -5*w + 8 - 33 = -4*a for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -4, 0.2, 4, -1\/168?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -190850 to the nearest 10000.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5621385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.53, 4, 3\/2, -7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2436.64 to the nearest 10.\nAnswer: -2440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1220161 - 6100818\/5. Suppose 2*y = -65 + 4849. Let g = y + -26355\/11. Calculate the common denominator of v and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 515628?\nAnswer: 2, 3, 14323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let o(f) = 2242*f**2 - 2*f + 2. Calculate o(p(r)).\nAnswer: 2242*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/8 + (-2)\/8. Let i be b\/(-2) + 0 + (-63)\/(-6). Let p be 29*3\/(-27) - -3. What is the second biggest value in i, p, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2\/23, 3, 20?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63234 - -93293. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 9}. What is prob of picking 2 x and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**4 - 588*k**3\/5 + 1524*k**2\/5 - 1444*k\/5 + 468\/5.\nAnswer: 4*(k - 1)**3*(10*k - 117)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 7*z - 3. Let k be c(6). Suppose 3 - 24 = -3*y - 2*b, -4*b + 12 = 0. Suppose k*u + y = 17. Does 6 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 5*p**2 + 2*p**2 - 6*p**2 + p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -39104, -3 in ascending order.\nAnswer: -39104, -5, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*z**3 - 444*z**3 + 207*z**3.\nAnswer: -889*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 13) in base 5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*(v\/((v*v*v**29*v)\/v))\/v))**(-40)*(v**(-33))**(15\/7))**23 assuming v is positive.\nAnswer: v**(-211025\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 77034 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 + 332886*g**2\/11 - 13851802566*g\/11 + 13851469682\/11.\nAnswer: -2*(g - 83221)**2*(g - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 86*a**2 + 1833*a - 4015. Determine w(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of -c**5\/20 + 2*c**4\/3 - 7*c**3\/6 - 3*c**2 - 9*c. Calculate t(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 e when four letters picked without replacement from {w: 1, e: 7, j: 1, t: 4}.\nAnswer: 126\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4200293.\nAnswer: 199, 21107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 121198 and 4928.\nAnswer: 3878336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g - 145. Let k be n(-10). Suppose k*d = v + 9*d - 10, 0 = 3*d + 6. Calculate the remainder when 341 is divided by v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 154 - 30. Calculate the least common multiple of l and 12.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**2 + 5*u - 12. Let y be g(4). What is the highest common factor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 4*w**2 + 2*w. Let f be v(2). Let t = -3.478 - -2.421. Let z = 0.057 + t. Which is the second smallest value? (a) f (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7\/3, 2766\/509, -3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99172 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r**2 + 8*r**2 - 15*r**2 - 11*r**2 in the form x*r**2 + u*r + h and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 308434 a multiple of 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6890.\nAnswer: 2, 5, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 5*d**2 + d + 7. Let a = -28 + 41. Suppose 0 = a*b - 9*b - 168. What is the least common multiple of m(5) and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 876833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -0.7. Let g = -0.065 - x. Let n = -0.03 + g. What is n rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15\/12 + (-4)\/(48\/(-9)). Suppose 0*u + 4 = -4*u, -p + 5 = -4*u. What is the closest to p in 1\/2, -4, o?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 1:04 AM?\nAnswer: 5:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 87, -2039 in descending order.\nAnswer: 87, 8, -2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = 5*r, -3*r = -6*r - 3*u + 6. Suppose r = -5*m + 12 - 2. Suppose a - 1200000 = -m*a. What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -1, -53, 4, -4, -21 in decreasing order.\nAnswer: 5, 4, -1, -3, -4, -21, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of -3*h**5\/20 - 7*h**4\/6 - 12*h. What is the third derivative of d(g) wrt g?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, 0, -3\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.58 - 22.7. Let b = -14 - p. Let c = 0.1275 - b. Round c to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 47, 1, 2, -629 in decreasing order.\nAnswer: 47, 2, 1, -629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(1\/3)\/d)\/d)**(-39))**(-35))**(12\/17) assuming d is positive.\nAnswer: d**(-27300\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 76 = 80 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:34 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106915\/52 - -2056. Let l = k - 5\/26. Let o = -68\/5 - -13. What is the second biggest value in o, l, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*b = -237*b + 3885. Let v = b - 774. Let j(r) be the first derivative of -r**3\/3 + 2*r**2 - 4*r + 1. What is j(v)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8a4 - 13?\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from uamm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/467475 and 13\/20325.\nAnswer: 467475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 90294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f**2 + 53*f + 9. Let b be a(16). Let u = -63 + b. Suppose 212 = u*l - 25*l. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1891135, 7564533, 17020193, 30258115, 47278299, 68080745, 92665453?\nAnswer: 121032423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 64*k + 432 = 0 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 12*g - 330. Calculate the highest common divisor of g and 45.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 3. What is y(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/66*0\/1 - (1 - 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1\/((-3)\/30) - (3 - (-19)\/2).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, u: 1, f: 2, a: 2, w: 6}. Give prob of sequence awas.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*b = 2*k - 244, 2*k + 5*b - 122 = 0. Suppose -k = -2*x + 13. What is the highest common divisor of x and 296?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of -a**5\/15 - 86*a**4\/3 + 346*a**3\/3 + 46*a**2 - 3. Factor g(k).\nAnswer: -4*(k - 1)*(k + 173)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - z + 2, 5*z = -8 - 7. Suppose 0*a + a - s = 0. Let h(v) = v**3 + 8*v**2 + v + 11. Let f be h(-8). Solve f + a = 4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 - 4\/(-6). Let o(x) = -12*x - 1. Let d be o(-2). Let c = d + -18. Calculate the greatest common divisor of c and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355519799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -752300 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 16*a**2 - 10*a - 10. What is the tens digit of i(17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331606 (base 9) to base 14.\nAnswer: -52267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28216 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 8 - 5*c - 3*c**2 + 4*c. Let z be o(6). What is the remainder when 45 is divided by 4\/(-6) + z\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -2.318\nAnswer: 2.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6447 + 8645. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 201 - 184. Suppose -v*o = -13*o + 5*y - 10, o + 6 = 3*y. Factor 1\/4*s**5 - 1\/4*s - 1\/2*s**4 + o*s**3 + 0 + 1\/2*s**2.\nAnswer: s*(s - 1)**3*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2606.7592 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -200, -394, -586, -776, -964, -1150, -1334?\n\"Answer: s**2 - 197*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -3*(sqrt(396) + -2) - (1 + -1*(sqrt(396) + 2)))**2.\nAnswer: -192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -14*g**3 - 2410*g**2 - 378*g - 5840. Determine r(-172).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -844, -3380, -7608, -13528, -21140, -30444, -41440?\n\"Answer: -846*l**2 + 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 + y**2 + y + 4. Let n(m) = -m**3 + m**2 + 1. Give f(h) - n(h).\nAnswer: -2*h**3 + h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of 5*c**4\/3 + 19*c**3\/6 - 31*c + 20. Let o(g) be the first derivative of w(g). Find the second derivative of o(h) wrt h.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:02 AM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a - 33*a = 2*t - 1125, -2*t = 10. Suppose -8766 - a = -17*i. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -14*g**2 + 207*g + 75. Give q(13).\nAnswer: 400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 34\/3 (c) 2\/9007\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 3*f - 3 = 0, 5*f + 2 = 4*j - 1. Suppose j*n - n = 0. Let c(w) = -w - 3. Determine c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 75 (c) 0.5 (d) -1 (e) 1.4 (f) -1\/2 (g) -2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 23*x - 26. Let o(d) = -5*d - 35. Let g be o(-11). Calculate the remainder when 135 is divided by y(g).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 10:09 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -13*v**3 + 4*v**2 + 179*v + 218. What is the ten thousands digit of n(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 24*r**2 - r - 1. Let k be d(-1). Let t be (-4 - -6)\/(12\/(-146)). Let p = t + k. Sort 0.2, 3\/4, p in descending order.\nAnswer: 3\/4, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 764 and 11216666.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -10, -39, -90, -169, -282, -435?\n\"Answer: -b**3 - 2*b**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -483, -736, -995, -1260, -1531, -1808?\nAnswer: -2091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243068821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = 10, 3*j + q - 22 = 0. Let v(f) = f + 2. Let b = -2 - -2. What is the smallest common multiple of j and v(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of t**6\/60 - t**4\/3 + t**2\/2 + 10. Let h(r) be the second derivative of f(r). What is k in h(k) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 5, -1, -5 in descending order.\nAnswer: 7, 5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.864.\nAnswer: -0.1728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-30)\/12 - 27\/2. Calculate the remainder when 76 is divided by (-5 + 168\/b)\/(1\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 76637 - 36815 = -109*w. What is the highest common factor of 12 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2275*k**3 + 86*k?\nAnswer: -13650*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5960581 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: Solve -2 = 6*t + 4 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9400189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 r when three letters picked without replacement from {r: 4, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 3:04 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 + 55. Factor -q**2 - 5*q**2 + 3*q + 2*q**2 + y*q**2 - 6.\nAnswer: 3*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of -9*h**6\/40 - h**5\/10 + 17*h**2\/2 + 17*h. Let y(q) be the first derivative of b(q). Factor y(g).\nAnswer: -3*g**2*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (6*12\/48)\/((-2)\/(-2524))?\nAnswer: 3, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 26*t**2 + 48*t + 19. What is b(24)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1222 is divided by 58?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*n**3 - 4403222*n - 43*n**3 + 4403222*n.\nAnswer: -206*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-7 - (-6 - -5))) + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1842 + 1841. Put 19, -5, 3, l in descending order.\nAnswer: 19, 3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)*n*n**(-4))**25*((n*n\/(n*n\/n**(1\/9)))\/n*(n**(-5)*n)\/n)**(-3\/5) assuming n is positive.\nAnswer: n**(-8254\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0143 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 6:57 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + (2 + sqrt(1872)*-2 - (sqrt(1872) + sqrt(1872) + (sqrt(1872) - sqrt(1872)*-3)*-2)**2) + 1.\nAnswer: -67393 - 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -124 (base 8) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1 = -11. Let b = 1 - -1. Suppose -2*g + 13 + o = -4*k, 0 = b*g - 8. Sort 4, 1, k in ascending order.\nAnswer: k, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 0.15. Let q = -1990.3 + 1990.5. Sort 2, q, -17, m.\nAnswer: -17, m, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.6 (b) 0.13 (c) -2\/19 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/5 - 627*k\/5 - 250.\nAnswer: -(k + 2)*(k + 625)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.371 minus -573.52077?\nAnswer: 573.89177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 8 - 4 - 35*y - 13 + 36*y. Let m be g(5). Suppose 10 = 5*k, 3*k - 103 = -m*z + 53. What is the highest common divisor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9771, -15339, -20907?\n\"Answer: -5568*x - 4203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(14\/6 - 1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 172032 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 262*p + 664 = -1956 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 4*v - 4. Let a(n) = -31*n**2 - 5 - 11*n**2 + 36*n**2 - 5*n. Let z(l) = 4*a(l) - 5*y(l). Let b(d) = 3*d**2. What is b(z(s))?\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-3) - (-8)\/12. Let h(m) = m**3 + 3*m**2 - 3*m + 2. What is the tens digit of h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(180) + (sqrt(180) - (sqrt(180) + 0 + sqrt(180) + 4)) + sqrt(180)) + 5))**2*-3.\nAnswer: -144048 + 25344*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -7*u**2 + 10*u - 6. Let b = -20 - -15. Let q(g) = -11*g**2 + 15*g - 9. Let d(f) = b*q(f) + 8*k(f). Give d(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**2\/17 + 16330*s\/17 = 0 for s.\nAnswer: -8165, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/360 - v**4\/24 - 11*v**3\/6 + 35*v. Let u(j) be the second derivative of n(j). Factor u(p).\nAnswer: (p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4456.874 to the nearest 10.\nAnswer: -4460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26711257*0.4.\nAnswer: -10684502.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 610866 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*f + 60*f - 12*f)*(-3*f - 1 + 1).\nAnswer: -387*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(10\/(-1360)*(-9)\/(360\/64)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-8)*5 - (-28)\/(-12)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*m + 75 = 0, a - 4 - 11 = -5*m. Let h = -3 + a. What is the units digit of 1\/(-1 - (-15)\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 12*n**2 + 6*n + 425. Is 87 a factor of u(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -77. Let n = -626 + 626.07. Which is the closest to f? (a) -2\/9 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 335 - 327. Suppose -99 = -k*o + 189. Calculate the remainder when 105 is divided by o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44 - ((-34)\/(-68))\/(3\/(-6) - -1)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 3 - (4 + (-3 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: bda (base 16) to base 6\nAnswer: 22014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/12*-1*280. Suppose -4*w + l = -w. Suppose -29 = -3*x + 5*t, -56 = -3*x - 4*t + 18. What is the remainder when w is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 1. Let o(f) = 3*f - 16. Let z be o(5). Let h(t) = -t. Give z*s(i) - 6*h(i).\nAnswer: 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 606 and 20.\nAnswer: 6060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + (-13)\/((-65)\/(-20))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.9295 + 0.0705. Let x be 2\/(-5)*3\/(-2). Which is smaller: n or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 2323 = 318. Let n = p + 624. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -67974, -67888, -67802, -67716?\n\"Answer: 86*m - 68060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*h - 93*h - 1524. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 461 and -1264.\nAnswer: -582704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, q: 1, l: 1, v: 1, b: 4, n: 4}. What is prob of picking 2 b and 1 l?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*y + 137 - 152 = 0, 3*h - 15 = 5*y. Suppose -113*m = -108*m - 20. Solve r - 3 = h, 5*z - r - m = -4*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 86 + -60. Let o = p + -26. Solve o*m - 7 = 5*i + m, 0 = -2*i - 4*m + 8 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -716325.\nAnswer: -716317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 8 - 4 = -g, 0 = -5*g - 5*v - 40 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**4\/4 + 1265*r**3\/4 - 3813*r**2\/4 - 11417*r\/4 - 1585 = 0?\nAnswer: -1268, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f, -f + 38 = 2*d + 4*f. Let x = d + -1. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3\/4*y**2 + 9\/4 + 3*y = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*f - 2*f**2 + 5 - 33*f + 53*f + f**2 - 12*f to t*f + h + x*f**2 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -292 - -16804?\nAnswer: 16522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1128693 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**3 + 6*y - 5. Give o(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -62 or -11?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - -13. What is the smallest common multiple of 2 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4163243 centuries in months?\nAnswer: 499.58916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11151455 (base 6) in base 13?\nAnswer: -bc426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 48110.7.\nAnswer: -240553.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2442, 9826, 22112, 39276, 61294, 88142?\nAnswer: 119796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 518245 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8065 - -32876. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -600, -1475, -2700, -4275?\nAnswer: -6200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbqq when four letters picked without replacement from {q: 1, b: 14}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -2) + -7 + 6. Let i(w) be the first derivative of 53*w**2\/2 + 2*w + 7. Let v be i(k). Calculate the highest common factor of v and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j + 3*j + 280 - 212 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -31903529\nAnswer: 6\/31903529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, s: 3, z: 8, x: 3, f: 3, e: 1}. What is prob of picking 2 x?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 2\/9 (b) -2\/15 (c) -1 (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3567 + 701 + 9992*h - 8131 wrt h.\nAnswer: 9992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -227.195993 rounded to 2 dps?\nAnswer: -227.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 14*l**5 - 178*l**4 + 718*l**3 - 830*l**2 - 300*l = 0.\nAnswer: -2\/7, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 1240110.\nAnswer: 1\/413370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85.9599 milligrams?\nAnswer: 85959.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) 5237 (c) 1\/5 (d) -12\/7 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 6 - 15 - 2*a.\nAnswer: -2*a - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a1 + 5358b?\nAnswer: 531da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/17 (b) -41 (c) 1163 (d) -1\/2 (e) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 279?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166094 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*a**2 - 6\/5*a**4 + 2\/5*a**5 + 4\/5*a**3 + 0 + 0*a = 0. What is a?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 27*p**5\/20 - p**4\/12 + p**2\/2 - 15*p. Determine n(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**6)\/(f**(18\/7)\/f)*(f**(-3\/4)*f)**(2\/111) assuming f is positive.\nAnswer: f**(-10205\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 14245757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1964017 and 1964021 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 0 + 0*t + 0*t**3 + 0*t**6 + 0*t**5 + t**2 + 1\/12*t**4 + 1\/336*t**8 + 0*t**7. What is the second derivative of f(m) wrt m?\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 8*s**2 - 4*s + 11. Let i be x(-7). Let n(k) = k**3 + 11*k**2 + 9*k - 10. Determine n(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(5)*-3 + sqrt(5))**2)*-3 - -3*((sqrt(30)\/sqrt(6))**2 + sqrt(5)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-33) - ((-15534)\/(-495) + -32).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 74. Let o be (-32)\/12*6\/(-1). Suppose -80 - o = -4*k. Calculate the highest common factor of k and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*n + 1143506 + 46*n - 1143495 + 45*n.\nAnswer: -4*n + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**4 + 788544 + 5*y**4 + 515040*y - 6*y**4 + 0*y**4 - 3*y**4 + 80548*y**2 - 1160*y**3.\nAnswer: 4*(y - 148)**2*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350489*a + 179 = 3*j - 350490*a, 5*j - 297 = 2*a for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 116 - (32 - 1674\/(-27))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*k - 735 = 23*k. What is the greatest common divisor of k and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10607 + -10576. What is the third smallest value in 1, 14\/5, p, 2\/3?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + sqrt(245)*-1 + (sqrt(245) - ((sqrt(245) + sqrt(245)*-1 + sqrt(245) + sqrt(245))**2*-2 + sqrt(245)))) + 5.\nAnswer: -14*sqrt(5) + 3917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2172 = 467*c - 464*c, 2*c - 5*l - 1463 = 0. Calculate the remainder when 2163 is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 661\/6 - 203\/3. What is the common denominator of -17\/13 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1038261 is divided by 18996.\nAnswer: 12477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 34.084.\nAnswer: -34.384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(1\/(-7*(-18)\/(-126)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 904823, 1808679, 2712547, 3616433, 4520343, 5424283, 6328259, 7232277?\nAnswer: 8136343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ryrjqyyyyyyyyhyyyyy. What is prob of picking 2 h and 1 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 5\/3*s**4 + 0 + 0*s - 1\/4*s**5 - 4*s**2 - 3\/8*s**6 + 10\/3*s**3. What is c in i(c) = 0?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580829 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*p**3 + 27*p**3 - 14*p**3 - p.\nAnswer: 33*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(60\/9))\/(((-12)\/2760)\/((-19)\/(-342))).\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {t: 9, l: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 5*y - 3*z + 15, -y + z - 5 = 0. Let x be y\/(-1)*1*-1. Let h be 2\/1 + (-2 - x). Are -2\/3 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)\/n)\/n**(-1\/8)*(n**(1\/2))**(-12\/11)*((n\/(n**(-5)\/n))\/n**(-5))\/(n**(-1\/3))**(-28) assuming n is positive.\nAnswer: n**(-463\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*s*(s*s**(-3\/2))\/s*s**(-6\/5)\/s**(-9) assuming s is positive.\nAnswer: s**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + -35 + 1*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in 0.1, -0.2, -0.1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -145*c**3 + 5*c**2 + 4. Let p(r) = -144*r**3 + 4*r**2 + 3. Determine 4*i(h) - 5*p(h).\nAnswer: 140*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 - 4.7. Let h = 2.5 + g. Let r(c) = c - 1. Let x be r(0). What is the nearest to 1 in x, 0, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1545487800 to the power of 1\/2, to the nearest integer?\nAnswer: 39313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (a**3 + a - a)*(-9 + 9 - a)*(0 - 3 + 5) in the form s*a**2 + m*a**4 + j*a**3 + k + x*a and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*(-19 - -1 - -4). Let k = 516 + o. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -575 (base 9) to base 15.\nAnswer: -218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 + (8800\/55 - 60)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 564*h + 738 wrt h.\nAnswer: 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 8*k - 64. Let b be f(12). Find the second derivative of -7*q**2 - 296 + b*q**2 + 296 + 130*q wrt q.\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -1.8. Let r = 0.7 + l. Which is the second smallest value? (a) -1 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/2 (b) -3 (c) 57.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 31. Let x be u(0). Suppose x = 5*r - 24. Calculate the lowest common multiple of r and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1547 - 30831\/20. Let r = 568699\/40 - 14219. What is the common denominator of r and p?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 - 12. Let v = p - 16.93. Let d = v - 0.37. What is the closest to 0.1 in d, -3\/4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.026656037 to four dps.\nAnswer: -0.0267","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10970 + 20101 + 17595)*(z + z - 3*z).\nAnswer: -26726*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.3? (a) -2\/9 (b) 1\/37 (c) -2\/7 (d) 26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 2.571.\nAnswer: -0.7713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 11\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 770, 711, 640, 551, 438?\n\"Answer: -q**3 - 52*q + 823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3665971559?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:34 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-34)*p\/p**(-19)*p assuming p is positive.\nAnswer: p**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((1 + (-2)\/4)\/((-43)\/(-1032)))\/4. Solve -12 = -5*r + i*a - 4, 2 = r - a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/31 greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z - 23. What is the tens digit of x(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -5*v + 6. Suppose -2 = -4*j + 14. Suppose 2*p + 3*g = -7, -2*g - 3*g - 10 = 3*p. Let n(h) = -6*h + 7. What is j*n(x) + p*o(x)?\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + h**2 + 2*h - 6. Let c = 26 - 26. Let g be z(c). Let x(j) = -j**3 - 5*j**2 + j. What is the units digit of x(g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(4900))\/(sqrt(112)*2 + sqrt(112)))**2.\nAnswer: 175\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 38 + 316 + 175)*((4 - 5 + 2)*(-5*p - 2*p + 5*p) + 3 + p - 3 + (p - p + 2*p)*(0 + 3 - 2) - 3*p + 18 - 18).\nAnswer: -976*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d - 10285. Let t = d - 658. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -43920.\nAnswer: 13176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 538725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 17*y**2 - 2*y + 12*y**2 - 31*y**2 as n + a*y + j*y**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 404 divide 358765802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -21\/11, 80, -0.3, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -608 - -607. Calculate the common denominator of 106*8\/(-352) - (-2)\/g and -17\/496.\nAnswer: 5456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - x**2 - 7*x - 4. What is the remainder when d(-4) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943.7104 minutes in microseconds?\nAnswer: 56622624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 110.3?\nAnswer: -110.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 116384.9m?\nAnswer: 116384900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 325406579 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.083 - -23.917. Let g = 2.96021 + 21.04189. Let h = g - d. Round h to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + m**2 + m. Let l be f(0). Suppose l = 5*v + 5*c, 7*c = -5*v + 3*c. Suppose v*y + 3 = 3*y. Is 1 < y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 98968.68249 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 5*r**2 - r - 1. Let x be f(-1). Suppose 5*j - 259 = -2*q, -x*q = -0*q + 2*j - 637. Is q a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 25 - 47. What is the greatest common divisor of d and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/3 + 5*f**4\/3 + 82*f**3 - 758*f**2\/3 + 763*f\/3 - 85 = 0. What is f?\nAnswer: -15, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) 0.2167 (c) 9\/2 (d) -0.1 (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -52?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 - -50. Is l a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 - (23 + (-4 - 7)) - -17.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/2, 30\/283, 3\/34 in ascending order.\nAnswer: -5, -3\/2, 3\/34, 30\/283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -5. Let m = 2 - p. Let y = m - -0.1. What is the nearest to 1 in y, -5, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:01 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 5*s + 5*s)*(-133 + 90 + 255 + 225)*(-7*s + 10 - 10).\nAnswer: 3059*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36906 by -36906.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 17. Let u(y) = y + 6. Calculate 3*k(p) + 8*u(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1100.97*45\nAnswer: -49543.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Let p be r(-3). Suppose 0*l - 6 = -p*l. Let b(j) = 1 + l*j + j - j. What is b(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 8*z + 10. Let g be f(7). Suppose b + 10 = g*b. Suppose w - 17 = -15. Solve -b*n = -3*n + w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 2*t - 8*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*q = 4*q + 297*q + 30740 for q.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z + 35 = 0. Suppose -5 = -5*l + 15. Suppose 2*p + 0*h = -3*h - 5, -l*p + 3*h + 35 = 0. Put -1, z, p in descending order.\nAnswer: p, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4 - 78) + (-106 - -4) + 86?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -722, -1439, -2160, -2885, -3614, -4347?\nAnswer: -5084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 + 2*z + 5. Let c be h(-5). Let g be (c\/4)\/((-6)\/20). Solve -5*s - g = -0*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.085 (b) -2 (c) -0.2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*k + 14 - 86 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/406 and 95\/48.\nAnswer: 9744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-29 + 9 + 16 - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vkvv when four letters picked without replacement from vjvjbjkvjkjkbpjk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 2*p = 16. Find the common denominator of (-1 + 27*p)\/(-20) and -75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-5)\/(-15)*99\/(-44))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240*x**3 - x**2 + 93*x**3 + x**2 - 110*x**3.\nAnswer: -257*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2253760401 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -489303 or -489302?\nAnswer: -489303","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.68 and 0.2.\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/12)\/((-2)\/54). Let s(g) = -12*g + 1. Let q be s(1). Let o = 7 - q. What is the highest common divisor of d and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70223736 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854722164.\nAnswer: 2, 3, 523, 136189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4267.769 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + 2*u**2 + u. Let t be k(0). Suppose t = -5*l + 8*l - 14133. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-15)\/(-705)*(-11)\/(-22)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.09, -3, 3\/8, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 4*(-1 + sqrt(52)) + ((sqrt(1300)*1 - sqrt(1300)) + sqrt(1300) - (sqrt(130)\/sqrt(5))\/sqrt(2))))**2.\nAnswer: -1836*sqrt(13) + 34137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*v - 15, -5*v - 5 = 10. Suppose p - 27 = -l. Suppose -4*q = -u - 75, 2*q = q + 5*u + 33. What is the highest common divisor of l and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 - 148*r + 151.\nAnswer: -(r - 1)*(3*r + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -5*r**2 - r - 24. What is h(1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 556*f**2 + 77284*f.\nAnswer: f*(f - 278)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -780 divided by 78\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**2*m**3*z + 10*b**2*m**2 - 20*b**2*m + b**2 + 4*b*m - 17*m**2*z + 2*m*z + 8 wrt m?\nAnswer: 18*b**2*m*z + 20*b**2 - 34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*j**3 + 12929*j**2 - 13005*j**2 + 3*j - 3*j wrt j.\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 + -0.61. Sort d, 1\/5, -3 in ascending order.\nAnswer: -3, d, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, r: 1, v: 1, j: 2}. Give prob of picking 1 j and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726*o + 615*o = 905*o + 46373 + 72571 for o.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 25 = -2*z, -m - 32 = -0*m + 5*z. Let h(d) = -d**2 - 5*d + 43. Let t be h(m). Is 27 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17476 - -2?\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 + y + 1. Let j(s) be the third derivative of 3*s**6\/40 - 2*s**5\/15 + s**4\/3 + 4*s**3\/3 - 2*s**2 - 40*s. What is -5*j(k) + 40*n(k)?\nAnswer: -5*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nun when three letters picked without replacement from {u: 1, b: 3, n: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -1550 - 6024. Suppose -11*v + z = -1734. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25\/5)\/(-4 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 49299.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**3 + 881 - 24*j - 24*j**2 - 904 + 4*j**3. Let d be o(25). Factor -2\/5*a**3 + 0*a + 2\/5*a**d + 0.\nAnswer: -2*a**2*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/10 + (-842)\/(-5). Let g(m) = 4*m**3 - 6 - 4*m**2 + 10*m**2 - 5*m**3. Let u be g(3). What is the greatest common divisor of w and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2 + 1. Let m = 616 + -610. What is the remainder when s(3) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15449 or -15446?\nAnswer: -15449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2748 - -7967. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*q + 646 + 859 - 275*q - 30*q wrt q.\nAnswer: -346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(sqrt(392)*-2 - sqrt(8)) + 3 + -4.\nAnswer: -1 - sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:09 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*m + 32*m - 117747 = 57*m. What is the ten thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43381*w**3 + 14460*w**3 + 14454*w**3 + 14464*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275)\/sqrt(5))\/sqrt(5) - 6*3*sqrt(11).\nAnswer: -17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*a + 139 - 76. Solve -10*b + 1 = -a*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - -246. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(1\/(-1)*-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of s**3\/3 - 7*s**2\/2 + 7*s + 2. Suppose -20 = -4*c - 4. What is the remainder when o(7) is divided by c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 + -0.4. Let t = l - 0.3. Which is the biggest value? (a) t (b) 1\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcmc when four letters picked without replacement from mimcimcm.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -464, -928, -1392, -1856, -2320?\n\"Answer: -464*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38511507473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-4)*0)\/1. Let f = 3193 + -3202. Sort n, f, -4 in decreasing order.\nAnswer: n, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -3, -9, 340 in decreasing order.\nAnswer: 340, 254, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2843613 is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:02 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 6. Let w(h) = 10 + 0*h**i + 3*h - 2*h - 2*h + h**2. What is the units digit of w(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*w - 15922 = -55*w - 70*w - 424*w for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1495774018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 8*o**2 + 8*o - 3. Let c be u(-9). Let x be c + -5 + 0 + 10\/(-18). Is x at least as big as -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -101*s - 26*s + 273 + 235 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -521 - -621 - (1 - -63)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-50 - 4)\/(-3). Let w(b) = b**3 - 12*b**2 - 11*b - 10. Let v be w(i). Suppose 24*h - 176 = v*h. What is the least common multiple of h and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6004 - -6010. Let x(t) = 25*t - 144. Determine x(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-40) + 1590771\/(-210))*(-76000)\/(-3). Round f to the nearest one million.\nAnswer: -192000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 62 - -5?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**3 - 4026*u**2 + 76100 - u - u - 76100 to q*u**2 + i*u + f + l*u**3 and give q.\nAnswer: -4026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 5*y**3 - 104*y**2 - 14*y + 51. List the prime factors of c(22).\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 3. Suppose -1 = -x*m + 1. Let i(g) = g**2 + g + 1. Let h(z) be the first derivative of 4*z**3\/3 + 3*z**2\/2 + 3*z - 1. Give m*h(o) - 3*i(o).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 447002556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 + 86. Suppose -d - r = 2*r - 38, d - 2*r = 33. Let j = d - 14. Solve -2*x = -5*g - j, -2*x = 3*g - o*x + 9 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9903 + 9911. Solve 35*q = n + 202 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4473, -28948, -95389, -224778, -438097, -756328, -1200453?\n\"Answer: -3497*y**3 - y**2 + 7*y - 982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-1 - -1 - (98 - 102) - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 769706 and 769706?\nAnswer: 769706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-66)\/18)\/((-3)\/(-27)). Put -3, q, -2 in ascending order.\nAnswer: q, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-2 + (-21)\/(-6)). Is 3\/((-219)\/(-105) + p) 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*w**2 + 1113*w - 297655 wrt w.\nAnswer: 22*w + 1113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/14 + 566*v**3\/7 + 240267*v**2\/7 + 45330374*v\/7 + 713. Factor g(h).\nAnswer: 2*(h + 283)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95263492 divided by 1642474?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*j + 12 = 2, 0 = 5*j. Suppose -3*n = d*h + 20, -2*h + 3*h + 4 = -4*n. Which is the closest to n? (a) -0.4 (b) 1\/3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.4 (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 200 and 1800?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/12)\/17*-12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2251830?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 713467642?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 13. Let p be a\/(-4) + 21\/(-6). Let m = 4 - 2. Sort m, p, -3 in ascending order.\nAnswer: -3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cogococogoccgggr. What is prob of sequence rc?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-20)\/(-60))\/((-2)\/(-24)). Suppose -2*w - 2*m = -4*m, -15 = -5*m. Sort a, w, 6, 0 in descending order.\nAnswer: 6, a, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 30 - 3*a - 53 + 53 + 64. Let z be m(26). Solve -l + 4*d + z = 0, 4*l + d + 0 = -4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12339778 or 12339789?\nAnswer: 12339789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmzppmpm. What is prob of picking 1 z and 1 p?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -28*s**2 - 381*s. Let f(g) = 10*g**2 + 124*g. Calculate 8*f(x) + 3*j(x).\nAnswer: -4*x**2 - 151*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 5. Let r = c + 20. Let k be -9*1\/(-3)*10. Calculate the highest common divisor of r and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-1 + sqrt(175) + -1 - (sqrt(21)\/(sqrt(6)\/sqrt(2)) + 4)) + 1)**2.\nAnswer: -16*sqrt(7) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -26654*i - 329. Is v(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/6*(-18)\/(-4). Let g = 1.3 - 0.3. Let d = g + 1. Which is the third biggest value? (a) -5 (b) d (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/22 - 2784\/(-2717). Let n = 20\/19 - i. What is the nearest to -1 in -13, -4\/3, n?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 16708833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7 + 1 = 0. Suppose -p - 1 = -4*i. Is (-68)\/(-1) + (i - 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1993967, 1993968, 1993969, 1993970, 1993971, 1993972?\nAnswer: 1993973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g)\/(g\/(g**(2\/3)*g)*g*g)*(g*g**(-7))\/g**9 assuming g is positive.\nAnswer: g**(-328\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2346023, -4692090, -7038157, -9384224, -11730291?\n\"Answer: -2346067*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 7092 = -8388. What is the remainder when 177 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/(-32))\/(-3) + 41\/44. Which is the closest to 0? (a) -2 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2222 = -5*f, -82*f + 78*f - 5687 = -5*v. What is the greatest common factor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 8, b: 8, z: 1}. What is prob of picking 1 t, 2 b, and 1 z?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-21)*r**(-38))\/((r*r**(-27)\/r)\/(((r**(-7\/2)\/r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 253252319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 2 d when four letters picked without replacement from {g: 2, s: 1, f: 6, m: 3, d: 4}?\nAnswer: 27\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (180\/24)\/((-6)\/4). What is the closest to 0.009 in d, -0.01, -1, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*c + 0)*(-2*c**2 + c**2 + 0*c**2) + 13 + 8 - c**3 - 11 + 94*c**2.\nAnswer: 2*c**3 + 94*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - (-1 - -3))*6. Let q(k) = 2*k**3 + 7*k**2 - 5*k - 13. Let n be q(t). Let p = n + 295. Is 22 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-236)\/224 + (-153)\/408)*(-63)\/48?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (4\/(-8))\/((-1)\/(-8)). What is the second derivative of 28*s + 87*s**j - 3 - 27*s - 38*s**2 + 101*s**2 wrt s?\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(76)*1*-2 + (-5 + (2*sqrt(76))**2 - (((0 + sqrt(76) - sqrt(76)) + -4)**2 + sqrt(76) - sqrt(76))).\nAnswer: -8*sqrt(19) + 283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 723, 731, 743, 759, 779, 803, 831?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-32)*(-2 - -8). Which is the second smallest value? (a) 0.5 (b) y (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*l - l + 186, 5*l = -5*j - 250. Let p = -285 + 256. Let h = p - j. Calculate the remainder when 75 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 761381 is divided by 74?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65390 + -23583. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*i + 1 + 3*i)*(-383 - 160 - 21).\nAnswer: -564*i - 1692","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 5*a + 3. Let u be s(-4). Let l be (-15 - (-27 + 15))*(-41)\/(-15). Which is bigger: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 4)*1 - 1. Let v = -28 + 32. What is the units digit of (2\/4)\/(h\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 875 = 155*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:04 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 h when two letters picked without replacement from {v: 9, j: 1, h: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 10*s**2 + 24*s + 5. Let a be p(4). Suppose -3*u + 18*z + 8791 = 16*z, a*u + 5*z = 14610. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*a - 21, 3*a + 0*c - 4*c + 21 = 0. Let u = 7 + a. Suppose y = 4*z - 2*y + 11, -4*y = 2*z. Sort 2, u, z in decreasing order.\nAnswer: u, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18536, 18683, 18830, 18977?\n\"Answer: 147*x + 18389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 43 - 12)*(-1 + 1 - 2)*(2*x - 8*x + 7*x - 2 + 2 - x + (1 + 1 + 0)*(2 - 2 + 2*x) - 4*x - x + 3*x).\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - 0\/1 - 1. Let m be 6\/(-2 + -1) + 0. Put m, 4, x in descending order.\nAnswer: 4, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19086 or -26\/79?\nAnswer: -26\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100011111101011?\nAnswer: 100011111101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 240*z**2 + 2*z + 3. Suppose 4*c + 50 = -c. Let p be c\/3 + 11\/33. Is y(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 5*q + 25 - 9 = 0, -b = q + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 69 and 33?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.6 - 144.6. Let n = 129.41 + q. What is n rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 244364 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(274\/140 + (-688)\/430).\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/5 - 224*m**4 - 3374*m**3\/5 - 2252*m**2\/5 = 0.\nAnswer: -2, -1, 0, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -6\/5, 6, 682?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-14 + 10) - 3 - (3 - -3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -v - 5*s + 5, -3*v - 2*s + 11 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - ((-5 - -11 - 5) + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2857 + -0.305. What is v rounded to three decimal places?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**5\/20 - 2*y**4\/3 - 4*y**3\/3 - y**2\/2 - 2*y. Let x be a(-7). What is x rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-990)\/(-264) - 18\/(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(132) - 1*sqrt(132))*-1 - sqrt(132))\/((sqrt(588)*5 - sqrt(588)) + sqrt(588) + sqrt(588) - sqrt(588)))**2.\nAnswer: 66\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*q**2 - 3 + 3 + 85*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -189995472*u**6 + 1554*u**2 - 2575 wrt u?\nAnswer: -22799456640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.9 - 22. Which is smaller: -2\/9 or i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84913702511 plus -9.7?\nAnswer: -84913702520.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1285*g**4 + 104192*g**3 + 20817233*g + 4?\nAnswer: 15420*g**2 + 625152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + j = -j + 136, 0 = -3*y + 2*j + 116. Let a(w) = -16 + y + 2*w**2 - 26. Let z(i) = -11*i**2. What is z(a(o))?\nAnswer: -44*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/2007 and -34\/76043.\nAnswer: 684387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptb when three letters picked without replacement from {p: 1, g: 2, q: 2, b: 1, t: 1, k: 2}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -240486, -240529, -240566, -240597, -240622, -240641?\n\"Answer: 3*y**2 - 52*y - 240437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2597487209?\nAnswer: 37, 1897361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*l + 6 = 0. Suppose -4*b - 1 = l. Let i(t) be the first derivative of t**2\/2 + 1. Let k(o) = 2*o**2 + 4*o. Calculate b*k(w) + 4*i(w).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1053, 1074, 1099, 1134, 1185?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/4 or -3\/5?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 27 = -6*n - 2*d, n + 8*d = -628 + 608 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 113364221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 328 times -0.8\nAnswer: -262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (-24 - -24) - (2 + (5 - 1))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**3 + 183939*y**2 - 29372640*y + 1174137600 = 0.\nAnswer: 80, 61153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 7293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mjm when three letters picked without replacement from {m: 7, j: 12}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 5*r + 44 = 0, -37*i - 2*r = -33*i + 44 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-6) - (-262641)\/18*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332 + -70.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2198868 divided by -549717.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1048)\/(-1834))\/((-30)\/21). What is the smallest value in n, 12, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 603419?\nAnswer: 43, 14033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/26125 and 59\/2375.\nAnswer: 26125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -6\/5445619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-10)*(-75)\/30 + 34. Let q be -1 - -57 - (-1 + 0). What is the greatest common factor of v and q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139771.2ml in litres?\nAnswer: 139.7712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/171 and -91\/32775?\nAnswer: 98325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -2. Suppose -n*b + 37 = -11. Suppose p - b = 14. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5\/3 (b) -19\/12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 11*v**2 + 30 + 8*v - 6*v.\nAnswer: -11*v**2 + 2*v + 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6331\/(-3432) + 1\/2. Let g = 11\/8 + s. Which is smaller: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((-2)\/(-2)) - 252\/98?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2 + 804999418*s + 162006015745084681.\nAnswer: (s + 402499709)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25202909 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*j + 7*j + 7 = 0, 4*j = -12. Calculate the least common multiple of l\/(-3)*27\/12 and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4*61.\nAnswer: -85.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - (-154 - -104)) + (0 - 1) + -3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b1 (base 14) to base 7\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-67)\/(0 + (-4)\/20). Suppose -5*q - 822 = i, -5*i + 6 + 9 = 0. Let u = m + q. List the prime factors of u.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -53. Suppose v - 32 = -2*n + 22, 0 = 5*n + 4*v - 129. What is the remainder when r is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1863, -2474, -1807, 138, 3361, 7862, 13641?\n\"Answer: 639*d**2 - 2528*d + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from beeffsnbfnnnfn?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(2\/3))**(-8\/11)\/(d**(-10)\/d**(1\/9)))**(-32))**(-2\/5) assuming d is positive.\nAnswer: d**(60992\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.838522g?\nAnswer: 0.000000838522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*i + 44*i + 18 - 43 + 20.\nAnswer: -51*i - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3316*v**2 - 8654*v**2 - 345*v**2 - 5828*v**2.\nAnswer: -11511*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4\/m**(-6)*(m**(-3)*m)**37)**33 assuming m is positive.\nAnswer: m**(-2112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 72\/(-15) + (-6)\/30. What is the biggest value in 0.3, 14, i?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.26 in 9, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 - 98 = 150*h - 25 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/33 and 103\/450.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*c = -2572. Suppose -m - c + 6 = 0. Round m to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 57573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, -10, -91, -258, -541, -970, -1575?\nAnswer: -2386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a microgram in nanograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -41519, -41518, -41517, -41516, -41515, -41514?\n\"Answer: j - 41520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y + 33. Let i be r(28). Let c = i + 161. Calculate the remainder when 101 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-8)*o\/(o*o*o**(1\/38)\/o*o))\/(o\/o**(1\/65)*o*o**31) assuming o is positive.\nAnswer: o**(-103767\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 22, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*m + 2901 - 426 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 31*j**2 - 31*j + 40. Calculate f(-3).\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -4*sqrt(448))*-2.\nAnswer: 48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - w - 4. Let k be r(0). Let y be (27\/108)\/((-2)\/8)*3\/(-21). Let p(g) = g + 5. Let m be p(-7). Which is the nearest to m? (a) k (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t - 82 - 79 + 161.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 360\/(-42) - (-12)\/(-28)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 490.3096964233 and 3.\nAnswer: 493.3096964233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + 5. Let n = -492 + 491. What is the tens digit of (t\/7)\/(n\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -389 - d**2 + 389.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**3\/4 + 47296*g**2 - 378371*g\/4 + 94593\/2 = 0.\nAnswer: -189186, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 10, v: 9}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 198052.0006 - 198036. Let i = 16 - w. Round i to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3432 (base 5) to base 9.\nAnswer: -606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3731 + 3759. Let n be ((-4)\/(-6))\/((-4)\/(-42)). What is the greatest common factor of z and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14247.9 - 559048411.\nAnswer: -559034163.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-3)\/(-12))\/((-11)\/(-1))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 682 and 132639514.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (((-4545)\/2070)\/(-101))\/((-3)\/12*2)\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 140 - 141. Let j(r) = -7 - 5 + 11 - r. Let q(l) = 3*l + 3. What is g*q(o) - 2*j(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, t: 4, s: 5, i: 1, p: 1}. Give prob of picking 1 i, 1 s, and 1 p.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 554 (base 6) in base 5?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36409*d + 0 + 0 - 36440*d.\nAnswer: -31*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/72)\/((-29)\/(-8)))\/(8*(-2)\/24)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 0)*(6 - 53 - 9)*(v - 3 + 3 + (0 + 0 - 2*v)*(1 + 0 + 1)) in the form j*v + r and give j.\nAnswer: 336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-893)\/(-1140) - 4\/(-12) and 111\/28?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j - 2. Let x be i(2). Let u(f) = 2 + 2 - 9*f - x. Let g(t) = 2*t. What is g(u(k))?\nAnswer: -18*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*c + 4 = 16, -4*z = 5*c - 36. Suppose -9*f + 50 = -4*f. Calculate the remainder when f is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144 + -4. Let w = x + 152. Put 11, 1, w in decreasing order.\nAnswer: 11, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + -150?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69809, 69606, 69267, 68792?\nAnswer: 68181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -5\/2 (c) 2\/5 (d) 12\/5 (e) 2\/13 (f) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(1\/10))\/g*g)\/g)**(1\/53) assuming g is positive.\nAnswer: g**(9\/530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67331 - 143?\nAnswer: -67474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-144)\/(-120))\/((-3)\/20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*w**4*y**2 - 1447*w**4 - 21261*w**2 - 6*w*y**2 wrt w?\nAnswer: -576*w*y**2 - 34728*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = -b - 2*i + 7*i, -2011*i + 2008*i = -b - 75 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 6191, 12367, 18543, 24719, 30895, 37071?\n\"Answer: 6176*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*o**5*z**2 + 353333*o**5 + 359*o**2*z**2 + o*z**2 - o*z + 61*z**2 - z wrt o?\nAnswer: 360*o**2*z**2 + 21199980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 - -5 - 2)\/((-3)\/(-30)) is divided by (-3)\/(-9) - 124\/(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3 + 5497654*v**2.\nAnswer: 2*v**2*(v + 2748827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12.3 from -21.\nAnswer: -33.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*t = 30, t - 18 = -3*u + 30. Suppose -19*n + u*n = -408. Let y = n + -6. Calculate the greatest common factor of y and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -624*r - 178. What is the tens digit of l(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of 0*w**4 + 1\/12*w**5 + 0*w - 1\/60*w**6 + 2 + 33*w**2 - 61\/6*w**3. Find the first derivative of p(y) wrt y.\nAnswer: -6*y**2 + 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2 + 5*x + 3. Let r be m(-3). Suppose -2*g + 4*g + r = 0. Let i be (0 + g)*(-2)\/6. Which is the nearest to -1? (a) 1\/3 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-9))\/(2\/3). Suppose -n*v = -2, v + 12 + 97 = 2*t. Let u = 80 - t. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*i + 212 - 53 = -525 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/21 - 11)*-6.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 2. Let n = 2 - j. Suppose 4*x = n - 1. What is the highest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*b - 103*b - 96*b - 101*b + 410*b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.5 + 529. Let g = q + 98.5. Let w = g - 609.00000981. Round w to six decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a + 2. Let k be d(8). Let v be 4\/(-14) + 28\/k. Suppose -3*y + 4*y = 0. Are y and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -190*u**3 - 3*u**2 - u - 7. Let g = 38 + -45. Let q be j(g). Suppose -q - 8977 = 2*b. Round b to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 46, 197, 448, 799, 1250, 1801?\n\"Answer: 50*p**2 + p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -35, -100, -211, -380, -619?\n\"Answer: -2*m**3 - 5*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, 196, -3\/8, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50906 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 13. Give f(-9).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 60*t**2 + 191*t + 2. Give w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k = 3 + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699*i - 1307*i = -2352 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-46)\/(-14) + (-2)\/7. Suppose -t*g = 3*j - 39, g + 0*j = -2*j + 18. What is the highest common divisor of 64 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 1, f: 9, m: 6, z: 1, k: 2}. Give prob of sequence kld.\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5617923.6 to the nearest 1000.\nAnswer: -5618000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = 5*a + 19. Let d = a - 13. Suppose -3*v - 21 = -y, -4*y + d*y = v + 62. Does 13 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 0.5887894?\nAnswer: 1.5887894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 0. Suppose -2*w - 5*h = 3 + 2, 3 = w - b*h. Suppose -5*s - 3 = -0*c - c, w = 5*c - 4*s - 15. What is the highest common factor of c and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10*b + 6*b**2 + 10*b)*((-1 + 4 - 2)*(-1 - 1 + 0) - 3 + 5 - 13 + (-1 - 4 + 6)*(-3 + 0 + 4)) to h*b + l*b**2 + v and give l.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 7*x**3 - 2*x**2 - 2*x + 3. Determine n(2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of u**4\/6 - 9*u**3\/2 - 2*u**2. Let s(w) = -2*w + 13. Let n(i) = -2*a(i) - 5*s(i). What is the derivative of n(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - (-289)\/102)*((-8)\/(-7) - 0). What is the smallest value in 1\/11, -1\/5, -3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -228 - -240. Let s = 8 - 1. Solve s = -j + r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 10*w**2 + 15*w - 16. Let d be v(11). Suppose 0*r - d = -2*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 19*r**3 + 5*r**2 - r + 5. Let g(d) = 2*d**3 + d**2 - d + 1. Determine 3*g(m) - s(m).\nAnswer: -13*m**3 - 2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26*h**3*k*w + 6*h**3*w + 4*h**2*k*w - 15*h*k*w - 101*h*w - 2*w with respect to k.\nAnswer: 26*h**3*w + 4*h**2*w - 15*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -5*v. Let g(j) = -8*j. Let a(o) = 9*o. Let h(m) = -5*a(m) - 6*g(m). What is f(h(n))?\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from errere. What is prob of sequence rr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 6*c - 12 = 0. Suppose 26 = g - c*d, d = -3*g - 20 + 58. What is the smallest common multiple of 4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/7 of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 2, f: 3, p: 6}. What is prob of picking 2 u?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c + 70. Let h be r(-13). Let y = 13 - h. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4126 + 4271. Let b be (0 - 1)\/(2 + -1). Which is bigger: n or b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(102) + -5*-2*sqrt(102)))\/((sqrt(6048)*2 + sqrt(6048))\/sqrt(7)).\nAnswer: -11*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -1. What is the highest common divisor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2625 or -2328?\nAnswer: -2625","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15965, 15964, 15963, 15962?\nAnswer: 15961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**2 - 19*f + 12. Determine s(8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-10))\/((-29 - (-2765)\/100)*-2).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*-10*18\/900?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n**2 + 51*n**2 - n**3 - 146*n**2 - n**3 + 9 - 2*n**4 + 51*n**2 to f*n**2 + p + w*n**4 + c*n**3 + t*n and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 3. Let t be r(-4). Suppose 4*s + 4*o = 56, o + 0*o = 2*s - 13. What is the highest common factor of s and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-1)\/(-9)*(-30)\/(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 5*p = 0, -4*a = -2*p - 14 + 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -136 + 138. Let u be (-2)\/(-3 + -1*(d - 4)). What is the second biggest value in 10\/11, u, -3?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - 3*r - 2. Let l be n(-2). Suppose -2*o + 5 - 1 = l. Let u be (-1 + 0)*1 + 25. Solve 0*k = -o*m + 5*k - u, 3*k = -m + 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 17 = 5*q, -116*q + 4 = -4*h - 112*q for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vzzkuzzkkuzukkkvk. What is prob of picking 1 z, 2 u, and 1 v?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483095197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1430 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382045868?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*f**2*l - 757*f**2*p**2 - 8*f*l*p - f*p**2 - 2*l*p - 2*p**2 wrt f.\nAnswer: -6*l - 1514*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 532 = 54*q - 47*q. What is the remainder when 144 is divided by q?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z + 1. Let i = -4 - -6. Suppose -i*v + 3*w = -4 - 1, -5 = -v + 2*w. What is the units digit of p(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b58b7 (base 13) to base 16.\nAnswer: -4fc02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**4\/4 - 7*p**3\/3 - 9*p**2. Let d be h(3). Factor -28*y**3 - 2*y + 9*y**4 + 4*y**3 + 0*y + 21*y**2 - d*y.\nAnswer: 3*y*(y - 1)**2*(3*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -5. Suppose 2*i - 3 = -h. Let z = i - -9. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 0.5, -1\/51, 0.2, -3, 3\/4 in increasing order.\nAnswer: -9, -3, -1\/51, 0.2, 0.5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1744487 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*w = 55*w - 15 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-4)*s)**9)**(-1\/23)\/(((s\/(s\/s**(-3\/13)))\/s)\/s*s**(-13))**(-45) assuming s is positive.\nAnswer: s**(-204579\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*r + 9. Which is bigger: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5\/3 - 185*o**3\/3 - 140*o**2 = 0 for o.\nAnswer: -4, -3, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**5 + 4*b**5 + 0*b**5)*(-3 - 1 + 5)*(2 + 22 - 13).\nAnswer: 11*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -22. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(1 + 0 - -1). Suppose -64*o**3 - 336*o**2 + 312*o**w + 0*o - 2*o - 32*o**3 - 128*o**4 = 0. Calculate o.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0190558 plus 9?\nAnswer: 8.9809442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 651 + -216. Find the common denominator of (4\/(-5))\/(54\/t) and ((-3)\/36)\/(-6 - (-13984)\/2328).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.7 take away 18974202484?\nAnswer: -18974202490.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*c**5 - 2*c**3 - c - 18 wrt c?\nAnswer: -60*c**3 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 24 + 24. Suppose -2*d - 10 = 4*n, -4*d - 1 = -2*n + 9. Let z = n + l. Solve -3*j + 1 - 2 = 4*f, 3*f + z*j = 13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 28. Calculate the remainder when 218 is divided by r(-30).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*d - 1)*(2*d + 3*d - 4*d)*(-2*d**2 + 2*d**2 - d**2).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 3*h + 20. Let k be p(6). Let y(g) = -6*g + g**2 - g + 6*g - 4 + 0*g**k. Give y(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/(-77) - 152\/28. Let m be -1*(-1 - 0 - -7). Let x be ((-9)\/(-6))\/(m\/(-16)). Put 5, x, i, 0 in descending order.\nAnswer: 5, x, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25.044 - 0.044. Let r = 25.1 - t. What is the biggest value in 3\/5, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 69 - 21. Suppose 0*z - 12 = -3*z. Suppose -j + z = v - 3*v, -3*v + 6 = 0. Calculate the highest common divisor of x and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(252) + 0)**2 + -4 + 1 + 2 + (sqrt(112) + 0)**2.\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9788*c + 340*c + 53 - 23 - 30.\nAnswer: -9448*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 20*d**2 + 48*d + 42. Let j(r) = 7*r**2 + 16*r + 14. Let b(k) = -6*c(k) + 17*j(k). Calculate the remainder when 198 is divided by b(-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6386*q**2 - q - 1013*q**2 + 4061*q**2 - 8504*q**2 as c + z*q + j*q**2 and give j.\nAnswer: -11842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10595 is divided by 824?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10607.\nAnswer: 10607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -333, -329, -323, -315?\n\"Answer: w**2 + w - 335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n + j = 12851, -5*j = -4*n + 12833. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 - (2 + 5 + -10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2519305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 80460 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34277 divided by 61?\nAnswer: 34277\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*g + 86299 = -165*g - 285322. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u**2 - 4*u + 11. List the prime factors of o(6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 16*b - 124. Let i be d(6). Suppose -i*s + 3563 = -s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 88, -9 in ascending order.\nAnswer: -9, 4, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4111140 and 1760.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -7655261 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -82875.8 to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/109120 and 15\/3968.\nAnswer: 218240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 134?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g**2 - 73*g**2 + 148*g**2 - 40*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 23*h**4 - 384*h**3 - 6905*h**2 + 5*h - 40. Let f(t) = 4*t**4 + t**2 + t - 8. Let j(d) = -5*f(d) + x(d). Find the third derivative of j(w) wrt w.\nAnswer: 72*w - 2304","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5330.639 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/1176335 and -41\/230?\nAnswer: 2352670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m - 10*m + 6*m to p*m + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-2 - 1) - -4 - (-3 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -5. Suppose -5*t = -2*m + 26, -2*t + p*t = -4*m + 28. Calculate the least common multiple of m and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2005521544 + -5?\nAnswer: 2005521535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59.11431 millennia?\nAnswer: 591.1431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**2\/2 + 2. Let j(l) = 34*l**2. Determine j(z(o)).\nAnswer: 34*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1085\/410 + (-10)\/4. Which is bigger: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10071 times -2797?\nAnswer: -28168587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.919926786 to 4 decimal places.\nAnswer: 2.9199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -2*a - 25. Suppose -f + y + 90 = a*y, -4*f = 3*y - 308. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 8*f**2 + 6*f - 3. Let d(y) = -1 - 2 + 9*y**2 + 47*y - 40*y. What is 6*d(a) - 7*v(a)?\nAnswer: -2*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gv when two letters picked without replacement from {w: 4, g: 4, v: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 17*u**3 - 8*u**2 - 2*u + 2. Let x(o) = -2*o**3 + 2*o**2 + o. Let i(c) = q(c) + 7*x(c). Let s(r) = r**2 + r. Determine -i(v) + 5*s(v).\nAnswer: -3*v**3 - v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in centuries?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 169595 to the power of 1\/2, to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15530 = -184*u + 15709 - 45002 + 14867 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7067593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c1 + 7c9?\nAnswer: b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(50)*1 + (sqrt(50) - (sqrt(50) + sqrt(500)\/sqrt(10) + -4 - sqrt(50)) - sqrt(50)))**2.\nAnswer: -120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 1:32 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h**3 + 2*h + 1. Let u be y(-1). Let l be -2*(-2)\/u + -5. Let n be (-2 - 9\/l)*-6. Solve -n*a + 8 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srsssqiisqfqsqiqssqi. Give prob of picking 2 s.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 10:14 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127892.2 millilitres to litres.\nAnswer: 127.8922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2942 + -5883\/2. What is the smallest value in p, -0.2, -191, -4?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 - -41. Let q = 867733.99945 + -867755. Let i = a - q. What is i rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of p**10\/840 + 7*p**6\/360 + p**3\/6 + 7*p. Let k(m) be the second derivative of i(m). Find the third derivative of k(n) wrt n.\nAnswer: 720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 102 + -101.6. What is the fourth smallest value in 0.3, o, 0, -6\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8\/5, 5\/2, -6, -5?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 138864\/(-21040)*(1 + -2)\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -152 - -452\/3. Let p = 4.08 - 0.08. Let k = 0 + -0.1. Which is the closest to k? (a) d (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 499*u = -4473 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.58 in 0.239, -3\/11, 62?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1524 and 11\/9.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 33, 40, 51, 66, 85, 108?\n\"Answer: 2*u**2 + u + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2 + 55*j - 112. Let i be z(25). What is the second biggest value in -0.1, 2\/7, 5, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 63 - 13. Let k be ((-115)\/(-138))\/(r\/18). Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 - -113. Let m = s + 19. Let k = -29.2 - m. Do k and 1.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 117 = 64*o - 17*o for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -3*n**2\/5 + 102*n\/5 - 72 = 0.\nAnswer: 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166775, -333341, -499907, -666473, -833039, -999605?\nAnswer: -1166171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 82*h**3 + 9*h**2 - 54*h - 4. Let k(d) = -83*d**3 - 11*d**2 + 55*d + 5. Let u(t) = -5*a(t) - 4*k(t). Find the third derivative of u(x) wrt x.\nAnswer: -468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: dd9 (base 16) to base 14\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j = 329 + 229. Let y = -48 + j. Calculate the remainder when 37 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-105 - 15 + 19)*(3*a - 2*a - 3*a)*(2 + 4 - 4 + (5 - 2 - 4)*(0 - 1 - 1) + 1 + 2 - 4 + 34 + 10 + 19) as f + z*a and give z.\nAnswer: 13332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 7*j**4\/12 - j**3\/3 + 8*j**2. Let v(x) = -5*x + 1. Let b(w) = -4*q(w) - 11*v(w). Suppose -3*k + 0*k = 0. Determine b(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -9. Solve -3*x + 2*j - j - 6 = 0, -y = -4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 2:16 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11752.05 + 11752. What is the closest to 0 in j, -1, -3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + -109. Let m = 5\/3 - 2. What is the nearest to -1 in 5\/6, m, t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*x - 16 = 16*x. Suppose -3*a + 5*o + 1 = -3, -x = -3*a + 4*o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-6))\/((-24)\/(-16))*21?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*l - 7. Let v(z) = z**3 + 6*z**2 + 4*z - 3. Let u be v(-5). Suppose u*y - l = -0*y. List the prime factors of y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*s - 81, 0 = -2*b + s + 3*s + 156. Suppose v - b = 214. Suppose f + v = -5*z, -z - 43 = 3*f + 1. Round z to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020798 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91193*a - 3984*a + 1 - 1.\nAnswer: 87209*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*f - 21*f + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**7 + 6*r**3 - 9. Find the third derivative of w(h) wrt h.\nAnswer: -840*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1245 - 1845. What are the prime factors of (x\/(-35))\/((-39)\/21 + 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from ueeyuy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 14) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376569 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(1 + 3)\/((-14)\/(-49)). Suppose -6*r = -h*r + 2848. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 59\nAnswer: 29\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 times 2.9?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152266790*i**3 + 265860024*i**2 wrt i?\nAnswer: 913600740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 803212.8 nanometers in kilometers?\nAnswer: 0.0000008032128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 8 = -6*i. Let d(q) = -q**3 - 5*q**2 - 5*q - 4. Let c be d(-4). Suppose 0*u - i*u = c. Let p(l) = l**2 + l - 6. What is p(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mlksdlx. Give prob of picking 1 m and 1 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105 - -122.4. Let s = -17 + t. Let x be (-4)\/7 - (-2)\/7. Sort s, x, 0.5 in ascending order.\nAnswer: x, s, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -106 (base 13) to base 6.\nAnswer: -451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*5 - (-570593)\/(-14183).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1, 11, -1253 in decreasing order.\nAnswer: 11, 5, 1, -1253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose -2*k = -0*k + r. Let v be (1 + 1\/(-3))\/5. Which is the smallest value? (a) k (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 3*l = -2*g + 45, 4*g = -l - 47. What is the units digit of (-212)\/g + (-2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26269 is divided by 6547.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/23 - 433524*z\/23 + 2167570\/23.\nAnswer: 2*(z - 216757)*(z - 5)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 x when three letters picked without replacement from jbbx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 1\/16*o**4 + 1\/20*o**5 - 1\/12*o**3 + 0*o - 1\/8*o**2 + 10. Determine g so that c(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 252227951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50790293011 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6845?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5475?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 58881\/10534 less than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g**2 + 7*g + 5. Suppose 5*s - 4 + 29 = 0. Let b be ((-2)\/s)\/((-3)\/30). Is 19 a factor of h(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 2. Let g(v) = 1. Let y(i) = -3*g(i) - m(i). Let w(s) = 72*s - 2817. Let p be w(39). What are the prime factors of y(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/6*(-28)\/(-105). Let j = -0.23 - 0.17. Which is the second smallest value? (a) j (b) 8 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 1339 - 1363 = 0. Let z be (-2)\/(-1 + -1)*2. Let u = z - 2. Solve -g*p + 2*p + 3 = u for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2736.302 weeks in nanoseconds?\nAnswer: 1654915449600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-8)\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3008295463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/(-12) - 19\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81.96 + 87. Let y = u - 0.04. Let s = y - 5.000096. What is s rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6317*o**6 - 5*o**2 + 116*o wrt o?\nAnswer: -758040*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -402 and -9.\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 13*f**2 - 10*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19728 - 7971. Is v a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -1. Let i = 1.064 - 4.064. What is the second smallest value in i, p, -1, 0.16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145\/3 - 49. Let o = 0.2 - 0.5. Let k be (-1)\/(-15) - (-2)\/6. What is the closest to k in -0.2, o, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*o**3 - 32*o**3 - o**3 + 10*o**3 + 2*o**2 - 3*o**2.\nAnswer: -16*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (7 - 19 - -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-172)\/(-230) + (-2)\/5. Let u = -22\/69 - k. Are 1\/4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/20310 and -97\/96048.\nAnswer: 325122480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -21.8 (b) 5 (c) 40\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719*h - 1662*h + 200291 = -3144*h for h.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.7 + 1.69953. What is l rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 653748*b**4*m**2 - 2*b**4*o - 68*b*m**2*o - 11*b*m - 1292*m**2 wrt b?\nAnswer: 7844976*b**2*m**2 - 24*b**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1322 + -2?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2675*l + 1910*l + 3530*l + 26*l - 2169*l.\nAnswer: 5972*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 c when three letters picked without replacement from qmqqqcmmqm.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 25*v + 5 - 2*v**4 - 26*v - 2 to w + l*v**4 + s*v + d*v**2 + x*v**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16a (base 16) to base 10\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let g = -12 + 16. Suppose -f - 4*a - 14 = f, -g*f - 23 = 3*a. Sort f, -1, p in descending order.\nAnswer: p, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -510 - -462. Let t = q + 54. Let i(c) = -4*c + 13. Determine i(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/5 + 5877702*z.\nAnswer: 2*z*(z + 14694255)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/7, -3, -29309 in decreasing order.\nAnswer: 0.5, -2\/7, -3, -29309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*r**2 - 6*r**2 + 4*r**2 - r**3 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440915 is divided by 220402.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3908 + 58032.\nAnswer: 54124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**2\/13 + 13316*z\/13 - 2237616\/13 = 0. Calculate z.\nAnswer: -6822, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*u + 19. Suppose 0 = -u*k + 42 - 6. Factor -8*p**2 - 4*p**3 - 1 + k - 3.\nAnswer: -4*p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 10:36 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24145\/3 + 8049. Which is smaller: 0.04 or l?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0010725097 rounded to six dps?\nAnswer: 0.001073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u - 10*u + 5*u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -2 + (-17 - -11) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -36.8*-23\nAnswer: 846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 47. Determine s(-5).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o. Let m(k) = 4*k**2 - 119898*k. Give b(m(p)).\nAnswer: 8*p**2 - 239796*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, f: 1, i: 2, t: 1, x: 3, w: 3}. Give prob of picking 2 i and 1 o.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 904.038 - 11123.\nAnswer: -10218.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 5*b**2 + b. What is m(-6)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = -3*g + 2*d, -2*g - 5*d = 5 - 59. Suppose -g = -4*z + 4*a + 1, -2*a = z - 7. Solve 5*y - 2 = -v - z, -3*y = -v + 3 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1128)\/6204)\/((-2)\/132*10).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -691.7929843375 + -2.\nAnswer: -693.7929843375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 308621.24 to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -227 + 247 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, o: 2, p: 2}. What is prob of picking 1 p and 1 b?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 151.7 rounded to 0 decimal places?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i = 28*i + 2*j + 2, -2*j + 8 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-42)*13 + 283\/(-849). Is n bigger than -0.0674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**2 + o + 62. Let u be h(0). Suppose 0 = q - 0*q - u. Let c = 100 - q. Is 14 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:58 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 533870 and 181240.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {w: 12, i: 1}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 28. Let x be m(0). Suppose f = 40 + x. What is the remainder when f is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8342 - 8347. Which is smaller: j or -774?\nAnswer: -774","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**4\/3 + 818*w**3\/3 + 7198*w**2\/3 - 818*w\/3 - 2400 = 0.\nAnswer: -400, -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 48 = -0*l. Let u(w) = 3*w - 4. Let v be u(3). Suppose v*y - 163 - 377 = 0. Calculate the highest common divisor of l and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a**3 - 16*a**2 - a - 3. Let g be w(-2). Calculate the highest common factor of 11452 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 203. What are the prime factors of c?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17619*h**3 + 36396.\nAnswer: 52857*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**5 + 18*s**4 + 15*s**3.\nAnswer: 3*s**3*(s + 1)*(s + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -31, 15415, 1\/20, -1, 1?\nAnswer: 15415","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21084 is divided by 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -101, -10, -12, 73, 2, 0 in decreasing order.\nAnswer: 73, 2, 0, -10, -12, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 619 is divided by 211.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/83 in 14, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*i + h - 20, -25 = -2*i - 3*h. Let n(o) = o**2 + 2*o**2 + 6 + 4*o - 5*o - o**3 + 7*o. Determine n(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4573977530 + 0.065046.\nAnswer: -4573977529.934954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3896298?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/148 and -137\/6.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 1:02 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3)*1)\/((-33)\/(-99)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c - 46. Let b be r(-5). Solve b*x + p = 0, 4*x - 3*x = -5*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 5 + -1 + -11. Let v be (4\/5)\/(((-1)\/x)\/1). Suppose 5*q - 20 = -j, 2*j = 5*q - v + 14. What is the least common multiple of j and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.298 + 135?\nAnswer: 133.702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 32 - 56 = 0. What is the greatest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/(w\/w**5))*w)\/w**(2\/17))\/(w**(-1\/4)\/w*w**1) assuming w is positive.\nAnswer: w**(-195\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6414, 5581, 4748, 3915, 3082?\nAnswer: 2249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) 2 (b) -4\/3 (c) -4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 20 = 18 + 8. Solve c*u - 5*r = 32, 36*u - 39*u = 3*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(19) - (sqrt(171)*3)**2) + sqrt(57)\/(sqrt(3) - (sqrt(3) + ((sqrt(33) - sqrt(66)\/sqrt(2))\/sqrt(11) - sqrt(3)))).\nAnswer: -1543 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21, -31, -47, -69, -97?\n\"Answer: -3*y**2 - y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -932 and 1122676228.\nAnswer: 1122675296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 101*p + 21. Let k(i) = 102*i + 25. What is 6*k(c) - 7*x(c)?\nAnswer: -95*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5660623?\nAnswer: 5660623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.192 - 0.392. Is h > 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 112\/6 - 10\/15. Let u be ((-1)\/4)\/(o\/72). Is u > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*w - 10*w + 13*w.\nAnswer: 28*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1798 - -5843. Let u = -3835.1 + i. Let t = -220 + u. What is t rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 9*p - 7. Let b(n) = n**3 + 4*n**2 - 4*n + 6. Let d be b(-5). Let y be (-5 - -6)\/(d\/(-5)). What is the tens digit of k(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29800 and 225?\nAnswer: 268200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6851 is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by -4\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - 30\/(-18). Let p be 1 - (l + 3 + -4). Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003269 rounded to four decimal places?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 smaller than 536?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Let h = l + -9. Let q = 31.5 + -32. Which is the second biggest value? (a) -0.1 (b) q (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259042, -542339, -825624, -1108891, -1392134, -1675347?\nAnswer: -1958524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1610921.\nAnswer: 13, 29, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52, -121, -202, -301, -424, -577?\n\"Answer: -u**3 - 62*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -v**5\/20 - v**4\/12 + v**3\/2 + v**2\/2 - 3*v. Suppose -12*h + 13*h - 2*k = 0, -2*k + 6 = -4*h. Determine w(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d = -3*d + 754. Suppose -57*u + d*u = -1. Let k(a) = a**2 + 3*a - 4. Let s be k(-4). What is the smallest value in s, 0.5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 - 1 = 0. Suppose -17*s = -19*s + 6. Suppose 15 = -2*l - l. What is the fourth smallest value in -2, l, s, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9*(-88)\/96 - (-18)\/(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 + 16*z - 16. Calculate u(11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -591 + 591 - 483*s**2 to z*s**2 + v*s + p and give z.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10120 - 23?\nAnswer: 10053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -50*s**5\/7 - 610*s**4\/7 - 678*s**3\/7 - 198*s**2\/7 = 0. What is s?\nAnswer: -11, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -127 divided by -1\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -307, -302, -295, -286, -275?\n\"Answer: w**2 + 2*w - 310","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -10*k**7\/7 - 3*k**3 - 3. What is the third derivative of z(w) wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11468 and 0.77?\nAnswer: -8830.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26532 divided by 6\nAnswer: -4422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:09 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/2? (a) 6\/2353 (b) -0.03 (c) 2\/5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iied when four letters picked without replacement from {i: 15, e: 3, d: 2}?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-15\/2)\/(h*(h**(5\/2)\/h)\/h))\/(h*h\/h**7*h**0*h) assuming h is positive.\nAnswer: h**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1787*w**3 + 4*w**2 - 107*w + 497. Is v(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 - -211.54. Let y = -1.57 + j. Let o = y + -0.35. Round o to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6931*k**3 - 2*k**2 + 10417*k wrt k.\nAnswer: -41586*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 35. Suppose -l = 4*c + c. Let n(z) = -z + 1. Let q(j) = -j**2 + j - 1. Give c*q(g) - 3*n(g).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.91089 minutes to milliseconds.\nAnswer: 2634653.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1386 is divided by 675?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16534321 is divided by 17646.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 2*b - b)*(3*b**4 - 3*b**4 + 2*b**4) + (3 - 9 + 3)*(-178*b**4 - 6*b**5 + 178*b**4).\nAnswer: 22*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -2\/3, -0.3, 1.8, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -1. Let q(g) = -3*g**2 + 2*g - 5. Give -n(p) + q(p).\nAnswer: -3*p**2 + 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0186437113 - 0.2056\nAnswer: -0.1869562887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 - (-160 - -2 - 12\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442042 minus 599744?\nAnswer: -157702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5404135 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/4 and 43\/3553768?\nAnswer: 3553768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/103 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/46)\/9*(-1)\/((-3)\/90).\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 13*m + 0*m**2 + m**3 - m**2 + 16*m**2 - 5. Let g be z(-14). Factor 13*p**2 - 2*p**4 + 4*p**3 + p**4 - 8*p**2 - g*p**2.\nAnswer: -p**2*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17810, -29228, -40646, -52064, -63482, -74900?\n\"Answer: -11418*c - 6392","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23156242*x**2 - 23820264 wrt x?\nAnswer: 46312484*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 3*s + 60, -2*u + 10 = -s - 3. Put 5, u, 0 in ascending order.\nAnswer: 0, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/3534 and 25\/101916?\nAnswer: 3159396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*m + 37*m + 4760 = 0. What is the remainder when m is divided by 231?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 38 = -1264*u + 1224*u, -4*h = -3*u - 107 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a6 (base 11) in base 14?\nAnswer: -1b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/2 + i**4\/2 + 9*i**3 + 7*i**2 - 17*i\/2 - 15\/2 = 0.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, -1, -2\/475, 16, 27.1?\nAnswer: -2\/475","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -69*f*m*o**2 + 600*f*m*o - 103*f*m - 3*m*o**2 + 14529*m - 273*o with respect to f.\nAnswer: -69*m*o**2 + 600*m*o - 103*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -130?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 11:33 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 55 = 3*a - 7, -36 = -2*y + 3*a. Suppose -24*o = 4*o - 14*o - 658. What is the remainder when o is divided by y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*r**2 - 8*r**2 - 14*r**2 + r**2 + r**2 - 4*r**2 + 2*r**2 + 4 - 4 + (-3 + 3 - r)*(r - 2 + 2) - 4 + 2*r**2 + 4 + (7*r - 3*r - 3*r)*(-5*r - r + 7*r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 5*b, -2*d = 3*d + 5*b. Let k = d + -1. Does 2 divide (0 - k)\/(4\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4163 + -29.9163. Which is smaller: -9 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2918500 rounded to the nearest one hundred thousand?\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 7, -60, -175?\n\"Answer: -24*k**2 + 53*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 + -30. Suppose 0 = -k + 2*q - 54, -4*k - 2*q - 192 + 26 = h. Round k to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 70 - (1 + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123 - 130 - (0 - -1 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*c - 77 = -169*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.4582 millimeters in meters?\nAnswer: 0.5814582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from tldltltltlitllll?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 8*n + 36. Solve -5*y + 22 = -n*k, -y = 2*k + k - 8 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 - 88*a + 607. Let h be s(14). Are 10\/13 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 2\/15*n**6 + 7\/5*n**5 - 64*n**2 + 22*n - 1 + 2*n**4 - 64\/3*n**3. Let u(y) be the first derivative of f(y). Factor u(s).\nAnswer: 4*(s - 2)*(s + 1)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 4082?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47328545?\nAnswer: 5, 11, 78229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 349*u + 16549. Give l(-47).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*z + 13. Let o = 3 + -5. Sort o, -5, z in decreasing order.\nAnswer: z, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:18 PM and 9:01 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 234*n + 230*n = -49, 5*g + 8*n - 87 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9184*w**3 - 15*w**2 - 4431*w - 21 wrt w?\nAnswer: -55104*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**4 + s**2 + s + 13. Let b(q) = 3*q**4 - 6*q**3 + 92*q**2 - 228*q - 52. Let z(o) = b(o) + 4*c(o). Suppose z(j) = 0. What is j?\nAnswer: -14, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -20*l - 8. Let y be k(10). Let z be (2\/(-4))\/(8\/y). Let x be 17\/4 - z\/52. Do 1 and x have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 4:28 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2520*z**3 - 224. Suppose 4*p - 3*d + 881 = 0, 2*p + 337 = 4*d - 91. Let y(s) = -56*s**3 - 5. Give p*y(m) + 5*v(m).\nAnswer: -56*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/11 in -5, 22, -3, 160?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 + 1. Sort -5, f, 1 in descending order.\nAnswer: 1, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*f**3*t - 2*f**3*u + 76*f*t*u - 111*f*u + 2*f + u wrt t?\nAnswer: 43*f**3 + 76*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.92 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 270 = 5*n - b, n = -2*b - 54. Let m = n - 39. Let i = 93 + m. Solve 0 = -i*z + 4*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -3*o**3 + o**2 - 5. Suppose -s + 9 - 5 = 0. Let y(f) = 4*f**3 + 0 + 3 + s - f**2. What is 7*n(l) + 5*y(l)?\nAnswer: -l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.5 (b) 2\/21 (c) -15\/4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a109 (base 15) to base 3.\nAnswer: -10010000211200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*k - 1 = 0, -3*k - 2*k = -25. Let m(a) = a + 12. Let b be m(x). Solve -2*d + c + 6 = -6, -4*c = b*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-32)*-4)\/((30\/(-33))\/10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -16642394 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89362488?\nAnswer: 2, 3, 1621, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*p - 3*p - 65, 4*p - 16 = -2*n. Solve -6 = 4*j - n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92897 to the power of 1\/2, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -7*b. Let c(r) = r. Let y(a) = 5*c(a) + n(a). Let f(g) = -6*g**2. Let v(s) = 5*s**2. Let i(z) = -2*f(z) - v(z). What is i(y(m))?\nAnswer: 28*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 701233 * 49.\nAnswer: 34360417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21003220002 - 2?\nAnswer: 21003220000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175782 - 175782 - 9424*n to the form s*n + j and give s.\nAnswer: -9424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 84 = -2*w. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 - -38. Let p = u - 11. Let h be 1\/(3*p\/42). Solve 0*q - 3*g + h = -2*q, q = 2*g - 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 1:53 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q + 6 = 18. What is the greatest common divisor of q and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311396 at least 1311396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*u + 4 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 65*v - 372*v**2 + 737*v**2 - 60 - 370*v**2.\nAnswer: -5*(v - 12)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/13186161 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 281*h + 2. Let u be (-6)\/((-72)\/42) - 3\/2. Let i be s(u). Find the second derivative of -i + 564 + 2*b**5 - 17*b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1113, -3006, -8161, -18210, -34785?\n\"Answer: -272*x**3 + x**2 + 8*x - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(168\/(-15)))\/((-15)\/9).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoyyycyyqqoqyycoqyyq. Give prob of sequence oyq.\nAnswer: 5\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.15*-246535\nAnswer: -36980.25","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 4\/13033 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -d46ab (base 14) to base 9\nAnswer: -858837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 670 and 276442.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 165\/(-231)*384775\/(-18). Let j = g + -15269. Calculate the common denominator of -22\/9 and j.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/13 (b) 2 (c) 2\/3 (d) -2 (e) 0.2 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101111122 (base 3) to base 16.\nAnswer: 40571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 + 1454 = -53*v - 817 for v.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -28, -35?\n\"Answer: -7*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3717 - 1.3705218. What is d rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -126, -103, -60, 9?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 5*t - 41, 2*t = 226 - 240 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 89 + 181. Suppose -p = -6*y - 36. What are the prime factors of y?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-3 - 8018\/(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/5))**(-1\/27))**(-12)\/(y*y**(-6)*y\/((y\/(y\/(y*y**2)))\/y))**(-6\/35) assuming y is positive.\nAnswer: y**(-76\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0042362264 to four dps.\nAnswer: 0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 9*c**2 - 9*c - 3. Let b be j(-5). Solve -b + 5 = -4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -z**3 - 32*z**2 - 158*z - 32581.\nAnswer: -3*z**2 - 64*z - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4444707?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*p - 9*p + p)*(0*p + 0*p - p)*(-342*p**2 - 979*p**2 + 238*p**2) + 2*p**2 + 2*p**4 - 2*p**2.\nAnswer: -6496*p**4 + 1083*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-2\/3)\/g)**46\/(g**(-8)*g**0))\/((g\/((g**5*g)\/g)*g\/(g\/(((g**(-2)*g)\/g)\/g*g)))\/(g**(1\/3)*g*g*g**4\/g)) assuming g is positive.\nAnswer: g**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 15. Suppose 11 - 7 = 2*w. Let l be 1\/3 - w*(-16)\/3. Let n be b(l). Calculate the greatest common factor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 - 40. Which is the closest to 0.1? (a) 3\/4 (b) 1 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485796, -1944135, -4374698, -7777485, -12152496?\nAnswer: -17499731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145455 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10999.4795 rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t + 1. Give u(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73710 by 405.\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -46326908+4\nAnswer: -46326904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q - 102*q - 374 = -54*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 - -0.2. Let u = z + -0.2. Let i = -51 + 52. What is the closest to -1 in i, u, 2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 4 - 1)*(-2*r - r + 4*r)*(-36 + 36 + 3*r) in the form m*r + s + y*r**2 and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 555960774*a**3*r**3 + 2*r**3 + 2*r + 2277736 with respect to a.\nAnswer: 1667882322*a**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 12 + 10. Suppose -6*d + 120 = v*d. What is the remainder when 44 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2184\/8873 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s - 3. Let o be z(3). What is the second derivative of o*c**2 - 27*c + 7*c**2 + 4*c wrt c?\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -4*p - 4. Let b = 4 - 7. Let w be z(b). Let d = 5 - w. Which is smaller: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 5:04 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 1:33 AM?\nAnswer: 9:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 129, 17, 3, 0 in descending order.\nAnswer: 129, 17, 3, 0, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -3*h**4\/2 - 97*h**3\/6 + 2*h + 89. Find the second derivative of f(s) wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 4740658.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2. Let k(c) be the first derivative of 0*c - 15 + 0*c**2 - 11\/3*c**3. Determine b(k(o)).\nAnswer: 242*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 9*l - 16. Let j be b(-5). Let u = -448 - -1357\/3. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 90\/13 (b) 1 (c) 5\/3 (d) 673\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14 + 19*b + b**2 + 21 + 12. Let p be a(-18). Let g be (2 - 2)\/(p - 2). Solve -3*r = 5*z + 15, z - 25 = -g*r + 5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-11)\/2)\/(12\/(-10536)).\nAnswer: 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**2*n**2 + 598*m**2*n - 3*m*n**2 - 3*n**2 + 296*n wrt m?\nAnswer: 2*n**2 + 1196*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 661 - 659. Solve -4*u = 3*d - 22 - p, -5*u - 1 = -4*d for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + (-11918)\/707)\/(6\/(-56)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131008 is divided by 213?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fuf when three letters picked without replacement from ffuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27339937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**2 - b + 2. Let z be a(-2). Let r = -410 - -590. What is the highest common divisor of r and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.16, 2\/12725, 11?\nAnswer: 2\/12725","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23312567777 less than -0.2?\nAnswer: -23312567777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2049828 - 1289833. Let t = -3 + 7. Suppose y - 380020 = t*z, z = 2*y + 2*z - r. What is y rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-4) + 145635 + 6. Let z = i - 102704. Round z to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -41 - 171b?\nAnswer: -175c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1020 and 4196620?\nAnswer: 12589860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/4 - 192895*h**4\/4 - 867999*h**3\/2 - 1157320*h**2 - 771544*h = 0. What is h?\nAnswer: -192886, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 0 + (-19 - -25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*p + 1304*p = 70 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 2, 1, -35.\nAnswer: -35, -34, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095506129 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/21)\/d**(1\/2))\/(d\/(d*d**(-3)*d)*d*d*d\/(d*(d*d**(2\/7))\/d))*(d**(2\/19)*d**(1\/4)\/d)\/((d*d\/d**6)\/(d\/d**(2\/13))) assuming d is positive.\nAnswer: d**(1709\/20748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00097898675 rounded to 7 decimal places?\nAnswer: -0.000979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76774496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 9*v + 92. Give m(-11).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 418*z**2 + 77. Let x(y) = 27*y**2 + 5. Let i(c) = -5*t(c) + 77*x(c). Let h(f) = 2*f. What is i(h(k))?\nAnswer: -44*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140141414948*p - p**2 + 140141414948*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 + 3*d**4 - d**4 + d**4 + 2*d**4 + 15*d**4 - 4*d**4 - 6*d**4 + (-2*d**2 + 2*d**2 - d**2)*(2*d**2 - 3*d**2 + 2*d**2).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 47*m - 11. Let g be o(1). Let l = -34 + g. Solve -l = -n - 2*p, -3*n + 3*p = -0*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*c = -494, -c - 1008 = -4*q - 6*c. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23*k**2 - 35*k**2 - 52*k**2)*(6 - 4 + 0) to the form q*k + d + x*k**2 and give x.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 447277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 324 = 5*n + 2*a, 78 = 2*n - 2*a - 60. Is 11 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1, 13, 19, 19, 13, 1, -17?\n\"Answer: -3*j**2 + 21*j - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 103 = 39*x. Suppose 5*y - 3 = -18. Sort 18, y, -2, x in ascending order.\nAnswer: y, -2, x, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 12, 10*x + 5*f + 66 = 14*x. Solve 4*w - 3 = r, -207*r + x = 5*w - 203*r for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4579550681.95 + 1008.\nAnswer: 4579551689.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 449, 450, 451, 452, 453, 454?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 11*h**2 - 3*h - 6. Let f be a(6). Suppose -f*w = -27*w + 13605. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*-1*-3*2.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-41 + (-9706)\/(-138)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72021.154115 - 72021. Round r to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-286)*-11)\/(16\/(-1))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 86*x - 5*x - 891 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23498 + 23258. Put -4, l, 4, -2 in decreasing order.\nAnswer: 4, -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -60.1, -5, 0.3, 31?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 683*u**5\/60 + 787*u**4\/12 - u**2 + 178*u. What is the second derivative of s(w) wrt w?\nAnswer: 1366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 + 16*d**2 + 12*d - 38. What is f(-15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjw. What is prob of sequence jw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 1320?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -593, -1194, -1809, -2444, -3105?\nAnswer: -3798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 12 - (68 - 72).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37733.54 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 6*k**2. Suppose 713*m - 716*m + 6 = 0. Let v(s) = 15 + 14*s + m*s - 15*s. Give v(u(z)).\nAnswer: 6*z**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -753 rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 15 = -7*t. Factor x**4 + 14*x**3 - 4 - 18*x**3 + 5*x - x + t*x**2.\nAnswer: (x - 2)**2*(x - 1)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f + 3)*(-3*f**4 - 2*f**4 + 2*f**4) - 33*f**5 - 24*f**2 + 24*f**2.\nAnswer: -36*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36717793 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -70*m + 195300. What is the highest common factor of 336 and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 30 - 2*n**2 - 2*n**2 + 82*n + 21 + 0*n**2 + n**2. What is the remainder when r(25) is divided by 59?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000847805 rounded to 6 decimal places?\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -104, 162, 652, 1378, 2352, 3586, 5092?\nAnswer: 6882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**5\/20 - 101*k**4\/9 + 134*k**3\/9 + 1463*k. Suppose c(r) = 0. Calculate r.\nAnswer: 0, 2\/3, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*v**3 - 3 - 78 + 2*v + v**2 + 87 as m + s*v + b*v**2 + x*v**3 and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 18646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55 + 106 - 68)*(597 - 30*q - 597)*(5*q**2 - 5*q**2 + 6*q**4).\nAnswer: 3060*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37946 - -56326. Is j a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus -701.6878?\nAnswer: -701.8278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 3, x - 5*w = -2*x + 10. Suppose -x*o = -32 - 3. What is the second derivative of 12*p - o*p + 9*p**3 - 3*p**3 wrt p?\nAnswer: 36*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*s + 20 = 0, 2*m - 3*m - 4 = s. Solve 0 = -m*i + 2*i - 2*g - 2, -4*i - 5*g + 31 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1\/81 - -169\/567. Let j(a) be the first derivative of i*a**2 + 0*a - 6\/7*a**5 - 2 - 8\/7*a**4 + 2\/21*a**3. Suppose j(s) = 0. What is s?\nAnswer: -1, -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79\/5 + -766\/45. Let w = j + -1\/9. Put w, 2, 4, 1 in descending order.\nAnswer: 4, 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 43*d + 39*d = -15, d = -5*v + 37 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5049.7568 rounded to the nearest one hundred?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 3:17 AM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 6 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5496 and 3510?\nAnswer: 3215160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3679803 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206 - -107. Let c = r + 2. Let v = c + 96.9957. Round v to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1555701424 by 1832.\nAnswer: -849182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f - 96544 = 43323 + 158650. Is f bigger than -12980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 0*s**2 + 0 + 0*s**3 - 4*s + 1\/12*s**4. Let m(v) be the third derivative of -7*v**5\/20 - 85*v**2. What is m(y(f))?\nAnswer: -21*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 9*b. Let u(l) = -3*l - 14. Let p be u(-6). What is the remainder when 59 is divided by t(p)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 16\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 22*x**2 - 16*x + 39. Determine i(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14448*k + 14447*k + k**3 + 14436*k - 43330*k.\nAnswer: k**3 + k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -10*r - 93 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 177, 184, 191, 198, 205?\n\"Answer: 7*l + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 * 147.9\nAnswer: 133.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 194770116.00000097 + -194770111. Let r = w + -5. Round r to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 590 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2380, -37, 2\/3, -27?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2847186377, 2847186378, 2847186379, 2847186380, 2847186381?\nAnswer: 2847186382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -49119787.65 rounded to the nearest 100000?\nAnswer: -49100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n**3 - 2*n - 1. Let o(v) = v**3 + 9*v**2 - v - 10. Let s be o(-9). List the prime factors of r(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27493 is divided by 9156.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 2*l - 5*l + 4*l - 2*l - 3*l + 2*l - l - 2*l + 0*l + 0*l - 2*l - 3*l + 0*l + l + (l + 3*l - 3*l)*(-4 - 4 + 6) + 0 + 0 - l)*(4 + 0 + 4).\nAnswer: -96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.027 - -0.027. What is the nearest to a in 0, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6291\/2 - 80507\/26. Which is smaller: 49 or n?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + (-11 + 1 - -11 - 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-4) - 1026\/(-24). Suppose 2*n + q = -5*n. Which is the third smallest value? (a) 0.1 (b) -3\/5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -c68?\nAnswer: c67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 5*l + 4. Let y be g(4). Let s = -287\/18 + -77\/9. What is the common denominator of s and -3 + 54\/10 + y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470466.7ug in grams?\nAnswer: 0.4704667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -17*p + 132, 0 = p - 0*p + 506*j - 509*j - 5 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) 0.1 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3183325796 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:31 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -6*v - 1. Let y be z(3). Let c = -19 - y. Suppose -2*o - 4*w - 12 = c, 3*w + 1 + 8 = 0. Solve -2*x + 4 = -o*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8587 + 8590. Solve -26*u - 23 = l for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54326 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 955*q**2 + 251*q + 747. Let g be r(-3). Is g at least -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((5*p - 29 + 29)*(-4 + 3 + 3) - 3 + 3 - 2*p)*(4 - 4 - 2) in the form o*p + r and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -144? (a) -2\/5 (b) 2.03 (c) 0.09 (d) 0.4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-6*(sqrt(170) - -3*sqrt(170)))\/(2*1*sqrt(1440))*2.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -243364, -486719, -730064, -973393, -1216700, -1459979, -1703224, -1946429?\nAnswer: -2189588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3*g + 3 + (-2 + 1 + 3)*(3*g - 6*g - g) + g + 0*g - 2*g + (-3 + 6 - 4)*(-g + 0*g + 0*g) - g + 0*g + 2*g)*(-2*g**4 + 0*g**4 + 3*g**4).\nAnswer: -4*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1983, -7081, -15579, -27477, -42775, -61473?\nAnswer: -83571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1419 + -28579\/20. Let n = -39\/4 - v. Solve -n*g**3 + 0*g + 1\/5*g**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -211\/2606604 and 151\/200508.\nAnswer: 2606604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012 - 1012110212?\nAnswer: -1012112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 612528 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Let f(x) = -6*x + 10. Let k(w) = f(w) + 5*n(w). List the prime factors of k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -48*q - 230 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*w + 36*w - 7 = 0. Put -1\/3, w, -5, -0.2 in decreasing order.\nAnswer: w, -0.2, -1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000306274105 rounded to seven decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + -4. Let g(h) = -2*h - 1. Let x be g(-1). Find the third derivative of -x + 1 + 0 - 22*i**j - i**2 wrt i.\nAnswer: -1320*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4165)\/(-204)*(-124)\/310.\nAnswer: -49\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9 + j + 2*j - 4*j. Let r = -6 + 13. Determine t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 508\/3 >= 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -2*l - 4, 5*l - 6 - 7 = 4*i for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - 14 - (-180314)\/20. Let s = c + -9007. Let v = -613\/30 - -108\/5. Calculate the common denominator of v and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + -3 + -5 - sqrt(95)\/(sqrt(5) + sqrt(20) + sqrt(5))) + -2.\nAnswer: -10 + 3*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 26*l**2 - 9*l**2 + 17*l**2. Let z(r) be the first derivative of -2*r**2 + 1026. Give z(d(q)).\nAnswer: -136*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -5*b**3 - b**2 - 3*b + 1. Let u be f(-3). Suppose -2*q - 2*q = u. Calculate the common denominator of 52\/11 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qii when three letters picked without replacement from {q: 2, i: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27969347 by 49.\nAnswer: 570803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 8 = 3*i + 62*r, 9*i = r + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 3*y + 68. What is r(-7)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 607 - 464 = -12*a - 327 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*m**2 - 129*m**2 - 2*m**4 + 92*m**2 - 5*m**3 + 2 + 21*m**2 + 8*m to f*m**2 + j*m**4 + r + v*m + x*m**3 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 854495.2ms?\nAnswer: 854.4952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 294 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*l**2 - 3*l**2 - l**2)*(-16*l - 1236 + 0*l + 1136) to the form n*l + q*l**3 + z + i*l**2 and give i.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10 - 15)*2\/(-5). Solve -r = -4*y - 3*r - g, -5*y - 3*r - 1 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(-1*sqrt(180)))\/(-2*4*sqrt(1152)).\nAnswer: sqrt(7)\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*sqrt(200)*-3 + -1 + 4)*-1*5)**2.\nAnswer: -45000*sqrt(2) + 4500225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -21*k**2 + 11*k - 4. Let j(u) = -10*u**2 + 5*u - 2. What is -7*j(l) + 3*m(l)?\nAnswer: 7*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*o**6 + 14682*o**3*v**3 + 3*o**2*v**3 - 43*o**2 + 20*o + 2*v**2 wrt o.\nAnswer: -240*o**3 + 88092*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence watf when four letters picked without replacement from {t: 1, f: 1, w: 1, a: 2, u: 1, j: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymf when three letters picked without replacement from {m: 3, f: 1, y: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3152 and 86?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**5\/180 + 5*w**4\/72 - w**3\/3 + 2*w**2 + 14*w. Suppose d(y) = 0. What is y?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 341.71245 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 585, 1764, 3755, 6570, 10221, 14720, 20079, 26310?\nAnswer: 33425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17565?\nAnswer: 3, 5, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 12:01 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*sqrt(33)\/(sqrt(22)\/sqrt(2)).\nAnswer: -5*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -148*o - 987399 + 979999 for o.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 209, 996, 1739, 2414, 2997, 3464, 3791, 3954?\n\"Answer: -4*l**3 + 2*l**2 + 809*l - 598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 - 1)*(-12 + 12 + 14*z).\nAnswer: -70*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 996\/15 - (-6)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Suppose -5*b + 9*b - 4 = j. Find the common denominator of 3 - b - (-154)\/28 and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 51. Let p be 28 - (12\/(-2) + 2). Suppose -27*t = 5*s - p*t - 35, 0 = -5*s - 2*t + 42. What is the greatest common factor of u and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5875, 0.5, 3, 4, -1\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35 - -38. Suppose 0*v = m*v - 6. Suppose -5*y + v*g = 0, -11 = 2*y - 5*y - g. Put -2, 4, y in descending order.\nAnswer: 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*i - 5*i + 16*i - 4*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238183 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 7*z**4\/6 - 19*z**3\/3 - 6*z**2 + 46*z - 276. Let h(t) be the first derivative of u(t). Determine o so that h(o) = 0.\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5537\/(-791)*-7*(-10)\/(-5)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 0.03, 43\/3, 0.01, -2\/7?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2a2 + -22?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16497 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 22*v\/7.\nAnswer: -2*v*(v - 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 640, 1342, 2310, 3538, 5020?\nAnswer: 6750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -63?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5*g. Let o(j) = -6312*j**2 + 2*j. Give q(o(k)).\nAnswer: -31560*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/28 and 36\/145663?\nAnswer: 582652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98274543?\nAnswer: 3, 32758181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 3)*(-d**3 + 4*d**3 + 3*d**3) + 0*d**3 + 0*d**3 - d**3 + (1 - 1 + d)*(-d**2 + 2*d**2 + d**2) + 0*d**3 + 0*d**3 + d**3.\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*z + 114*z + 2*w = -26, 0 = 2*z - w - 13 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, v: 4, z: 4, c: 2, j: 2, a: 1}. What is prob of sequence va?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a centimeter in micrometers?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*r**2 + 26*r - 26*r as p*r + s + o*r**2 and give o.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38 (base 15) to base 12.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 9, -16, -3 in decreasing order.\nAnswer: 9, -4\/9, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - 0 - (9 - 114). Suppose 2*p - i + 26 = 0. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n. Let q(f) = -3*f**2 - 32*f + 51. Let d be q(-12). Let t(k) = -6*k. Give d*t(u) - 4*h(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1030 (base 12) to base 16\nAnswer: -6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 213 (c) 5 (d) 2\/349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n. Let f(v) = -7*v - 3. Let p be f(-1). Let s(w) = 19 + 3*w - p*w - 20. What is s(l(c))?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 - 120 = -5*i, 0 = -2*r - 5*i - 70. Let j(w) = 40*w**2 + 1. Let c be j(1). Let b = c + r. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.08 and 43620.\nAnswer: 43619.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 14. Is 439\/9 - q\/(-45) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -774, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11\/169 - 355\/10647. Let m = -0.561 - -0.261. What is the second biggest value in x, -3, m, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -99*y**3 + y**2 + 8*y - 10. Determine s(1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/4 + 119\/2. Let j = n + -42. What is the remainder when j is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i + i - 5 - 8 - 6 to the form z + u*i and give z.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -17*r**2 + 47*r + 7. Give u(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13330145, -26660295, -39990445?\nAnswer: -53320595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.9797 and -0.4?\nAnswer: 0.39188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 87*b = 4*s, 5*b + 11 = -s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4396 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2146 - 2141. Let p = 0.4 + 1.6. Which is the third smallest value? (a) -1\/9 (b) -30 (c) q (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2 - 1 - 2 + 15*i. Let r(c) = -7*c + 2. Suppose -3*o + 10 = -19*p + 17*p, -p - 9 = 2. Calculate o*s(d) - 10*r(d).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-160)\/(-50))\/(4\/10). Suppose 2*p = -2 + j. Suppose p*i + 3*i = 678. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 292, -5, 3, 1\/5, 15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 4*f - 264. Is f a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1195 + 3?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2459*x**2 - 2*x**3 + 2459*x**2 + x**4 + (-3*x**4 - x**2 + x**2)*(-2 - 1 + 1).\nAnswer: 7*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/29)\/s*s*s*s*s*(s**(1\/5)*s)\/s*s)\/((s\/s**(-1\/4)*s*s)\/s*s*s**(-2\/7)) assuming s is positive.\nAnswer: s**(5297\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63 + 18?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -5*f**2 + 23035*f - 15806760 = 0.\nAnswer: 839, 3768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6172*m + 523. Let i(z) = -6173*z + 448. What is -6*a(d) + 7*i(d)?\nAnswer: -6179*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 443142 divided by 49238\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -102.04156 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 12. Let q be y(10). Suppose 0 = 3*h - u, 0*u = q*h - 4*u. Let f = h - -3. Sort 9, f, -5.\nAnswer: -5, f, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6073\/25 - -243. What is the closest to 0.2 in 2\/5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.064163ms?\nAnswer: 0.000064163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 22. What are the prime factors of l(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -4*q. What is the remainder when 1 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.8, -11, 2\/17?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10646 - 10685 + 21331 + 140*m**3.\nAnswer: 140*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 - 8*n + 26*n - 8)*(-1897 + 520 + 987) as r + h*n and give h.\nAnswer: -7020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.09 * -1322.\nAnswer: 31846.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 133 - l**3 + 3*l**3 - 45 - 40 + 381*l as i + z*l**2 + h*l + j*l**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-18 + -6)\/24 + 1 + 240 and 280.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19535, 19539, 19545, 19553, 19563, 19575?\nAnswer: 19589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 89068536 by -4.\nAnswer: -22267134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4982366 and -9\/2458?\nAnswer: 4982366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -110, -423, -936, -1643, -2538, -3615?\n\"Answer: o**3 - 106*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 PM and 9:51 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 8*x**2 - x + 1. Let a be f(2). Suppose 130 - a = -3*h. Let n = -5 - h. Is 9 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - 2 - (-22 - -48 - 22)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 13*n**2 - 14*n + 2. Let a be y(-13). Let w = 85 - a. Calculate the remainder when (-5)\/((-3)\/w*-3) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451*b = -4452 - 14490. Calculate the lowest common multiple of ((-1)\/(-2))\/((-2)\/(-192)) and b.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - i + 0*i - 1)*(-7 + 1 + 3) to the form m + d*i and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(7)*-2 - sqrt(7)) + (sqrt(56)\/sqrt(8)*-4)**2 + sqrt(7) + -1*(sqrt(112) + -1) + -2.\nAnswer: -6*sqrt(7) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 7*n**2 + 4*n + 1. Let o be h(5). Let f = o + 33. Suppose 4*y + k = 198, y - 58 = -0*y + 4*k. Sort 3, 0, y, f in increasing order.\nAnswer: 0, 3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*f - 304*f + 104*f + 10*f**2 + 6*f**2 + 101*f.\nAnswer: 16*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 7:53 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59566?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85 - (-1 + (-21 + 9 - -25))) + -11.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003969201 to six dps.\nAnswer: 0.003969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/15)*b**(-22))**45)**(3\/19) assuming b is positive.\nAnswer: b**(-2961\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -910176, 0.1, -3.\nAnswer: -910176, -3, 0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 13*g + 11. Suppose 58*y - 56 = 54*y. Calculate p(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -5995.6896.\nAnswer: -5995.4896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 0 = 11*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30871517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*v + 8, 2*v = 3*q - 4 + 11. Let n = q - -5. List the prime factors of ((-15)\/9)\/(n\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -2)*((-63)\/(-33) - 2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n**2*n)\/n*n*n)\/n)\/(n**(1\/3)*n))**(-14\/15)\/(((n\/n**(1\/2))\/n)\/(n\/(n**(-1)*n)))**21 assuming n is positive.\nAnswer: n**(2611\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7 - -8) + (-5059232 - 2). Let p = 1559233 + j. What is p rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 1 - 2 + 4 - 1 + (-4 + 0 + 3)*(3 - 3 - 1) + 1 - 4 - 4)*(3*k - 3*k - 4*k).\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 493508125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, -0.1, 72, -3\/7, -40?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of t**3 - 3*t**2\/2 - t + 168. Let r(l) = -13*l + 7. Calculate 5*d(k) + 2*r(k).\nAnswer: 4*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 3)\/(3\/3). Let q(f) = -f**3 + 4*f**2 + f - 1. Is q(x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(3\/7)*r*r*r))\/r**6*(r*r*r**6*r)\/(r*r**6\/r))\/(((r\/r**(-3))\/(r*r**(-7)*r))\/(r\/r**(2\/19)*r*((r*r*(r**4\/r)\/r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-1401\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 74699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -12, -5*a + 0*t + 19 = -t. Let b be (1 - 4\/6)*a. Let u = b - -2. Solve w = -u*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -k**2*m - 67552*k**2*w + 3*k**2 - 43*m*w + 6*m + 2295 with respect to k.\nAnswer: -2*k*m - 135104*k*w + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*1 + sqrt(360))*-5*-6)\/((sqrt(350)\/sqrt(7) - sqrt(50)) + -2*sqrt(10)\/sqrt(5)).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -2*y - 14, 102041*u - 3*y - 1 = 102043*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - ((-24216)\/21 - 4\/8). Let m = 1157 - u. Calculate the common denominator of (-4)\/10 - (-512)\/(-70) and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -20. Suppose -v*u + 66 = g, g = -u - 0*g + 20. Calculate the remainder when u is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21914, 21920, 21926, 21932?\nAnswer: 21938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111000001000101000011 - -10?\nAnswer: 111111000001000101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208\/91*(2 + 6\/4) and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 609936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15 = h, 5*z - 4*h - 15 = -0*h. Suppose 5*g = -3*o + z*g, -2*o - 4*g - 8 = 0. Solve 0 = 4*m - o*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 18*y**2 + 32*y + 7. What is the units digit of z(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 2 + 6*g**2 + 2*g**2 + 4*g - g**3. Suppose -5*p + 4*a = -39, -51*p + 2*a = -52*p + 19. Calculate the remainder when n(7) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from {a: 1, d: 9, j: 9}.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/3)\/(16\/1200). Let c = m - -28. Suppose 3*g = c*p + 15, -2*g + 6*g - 13 = -3*p. Solve -u = -2*u + g for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68 times -4.760739\nAnswer: -323.730252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 15*x + 5. Let j(t) = -5*t - 2. Let f(m) = -6*b(m) - 17*j(m). Suppose c - 1 - 9 = 0. Let k(p) = 6*p + c - 7 - 8 + 0*p. What is 5*f(u) + 4*k(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -669*-8499.\nAnswer: 5685831","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176040 + -176353.4176. Let i = g + 89.4265. Let w = i + 224. What is w rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8800*f + 1293682. Calculate l(-147).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1152 - -1150. Sort 4, b, 30 in descending order.\nAnswer: 30, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -220951861 smaller than -220951862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -511, -1038, -1585, -2152, -2739?\nAnswer: -3346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - (-5 + 2 - 1). Let n = -3 - -3. Let y be ((-442)\/51)\/13*-6*1. Solve n = -y*h + j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -120 - -122. Suppose 4*q = -w*x + 76, 3*x + x - 147 = -3*q. What is the greatest common factor of 84 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -984177454 - -4?\nAnswer: -984177450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (13 - 12)\/(10\/20). Solve -4*h + 4*t = h + 19, 0 = i*h - t + 7 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 0.1, -94, 1\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -9*v**3 - 2*v**2 - 3*v - 3. Let n(m) = 10*m**3 + 3*m**2 + 4*m + 4. Determine -3*n(h) - 4*x(h).\nAnswer: 6*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 253445736 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 34 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/16473979?\nAnswer: 6\/16473979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 51?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 13b29 + -2?\nAnswer: 13b27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 z when three letters picked without replacement from pppppazza.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1675*m**2*r - 2*m**2 - 566 wrt r?\nAnswer: 1675*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + 6. Suppose i - 585 = q. What is i rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5981, -5984, -6025, -6122, -6293, -6556, -6929?\n\"Answer: -3*p**3 - p**2 + 21*p - 5998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(2\/(-1184)*1). Let u(x) = 3*x**2 + 1256*x + 3757. Let f be u(-3). Suppose 32 = -f*q + d. What is the greatest common factor of q and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 + 7 + -3 + -2 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17355 - 9441 + 17894 = -918*a - 11830 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 12 - 37 = 0. Let f(o) be the first derivative of 0*o + 1\/2*o**4 + 3 + 2\/5*o**v - o**2 - 2\/3*o**3. Factor f(c).\nAnswer: 2*c*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + c**2 - 2*c**3 - 4*c**3 - 4*c**3 + 0*c**3 + (c**2 - 2*c**2 + 3*c**2)*(c - 2*c + 4*c) - 2*c**2 + 2*c**2 - c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3103670350 - -4\nAnswer: 3103670354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h - 8795 - h + 8792 + 3*h - 3*h. Let c(d) = 4*d - 6. Suppose 5*r - 23 - 32 = 0. What is r*q(w) - 6*c(w)?\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (20 - 12).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mpmyymmymym. What is prob of picking 1 m and 1 y?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 8*d + 3850. Suppose d = -8*u - 255. Let k = 224 + u. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1201 - 4401 = -320*i. Let l(o) be the second derivative of 3\/2*o**3 - i*o + 9\/2*o**2 + 0. Differentiate l(f) with respect to f.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + 6*p - 8 - 5*p - 20 as s + k*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 - -0.026. Let j = f - 0.306. Which is the nearest to j? (a) 3\/7 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 112 and 602.\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 k when three letters picked without replacement from {k: 4, a: 3, s: 5}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1303 * 0.136\nAnswer: 177.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/125, 4, 0.4, 2, 4.7, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3412502, 13649716, 30711740, 54598574, 85310218, 122846672, 167207936?\nAnswer: 218394010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 26*s + 105. Let m be p(-4). Let w(r) be the third derivative of r**6\/60 + r**5\/60 - r**4\/24 + r**3\/6 + r**2. Let o be w(m). Solve 7*a = o*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 51*s + 3564. What is h(-70)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1561 - 1546. Let g(m) = -3*m + 1. Let l be g(1). Let y(o) = -35 - 50*o**2 + 21 - 15*o + 14. Let j(t) = -7*t**2 - 2*t. What is l*y(q) + v*j(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyqt. Give prob of sequence yq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-72)\/10)\/(((-96)\/(-60))\/(-2))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04371276162 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = 23*p + 1760. Let k be 226\/10 - 4\/(-10). Let o = p - k. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37508237\/8 or -4688530?\nAnswer: -37508237\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215734863.\nAnswer: 3, 71911621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (11\/13 - 1)*(12 - ((-18)\/4 + 17))\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107781 times 106?\nAnswer: 11424786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2925, -5928, -9111, -12570, -16401, -20700?\nAnswer: -25563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*o = -47 + 14, -11 = -2*v + 5*o. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -4*n, i + 3*i - 5*n = -40 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2074842*s*w**3*x + 10*s*w**3 + 2*s*w**2*x**2 + s*w**2 - 2*s*w*x**2 + s*w*x + 76*s*x**2 + 2*w**3*x**2 - 390*x**2 wrt w?\nAnswer: -12449052*s*x + 60*s + 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (1\/6*(-23)\/(414\/36))\/(-1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l**2 - 4*l**2 + 3*l**2 + 3*l**2 - 2*l**2 - 2*l**2 + (-4 + 1 + 1)*(4*l - 4*l + 2*l**2) + l**2 + l**2 - 4*l**2 + (-3 + 3 + l)*(3*l + 3*l - 4*l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381318 (base 10) to base 9.\nAnswer: -641056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 (base 5) in base 2?\nAnswer: -101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.29539 to the nearest integer.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072373 to the power of 1\/2, to the nearest integer?\nAnswer: 1440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 9:31 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-39)*3)\/(3\/6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7506\/408 + -1 + 3\/12. Which is greater: 18 or u?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 k when two letters picked without replacement from tkkftftfttkk.\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -71581\/16 less than -4473?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014193604 to 5 dps.\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -25*d + 276. What is b(20)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 105*g**2 + 678*g - 60461. Calculate f(106).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 18 = -2*v, -2*g - 9 = 2*v - 11 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35481456 is divided by 557?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -5*o - 3*p, -2*p = -2 - 4. Let l = 47 + o. Is 20 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -90, 0, 3 in descending order.\nAnswer: 3, 0, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - q - 4*q = 48, -48 = -4*c - q. Suppose 5*f - 3*f - c = 0. Solve -n = n - f for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 14*y**2 + 10*y - 22. Let b be h(-13). Suppose -b*i + 7850005 = 5*s - 16*i, 3*i + 1569985 = s. What is s rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18392*u*z + 9*u - 95*z + 22 wrt u?\nAnswer: 18392*z + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.05 and -1.75?\nAnswer: 0.0875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 12*i**2 + 6*i - 29. What is the tens digit of n(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 1, t: 1, s: 1, z: 1}. What is prob of sequence hsz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -261677832 divided by 5032266\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_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: Calculate the smallest common multiple of 5 and 54.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -14. Suppose 2*l = 3*u - 10, 4*l - a*u + 2*u + 16 = 0. Let m(p) = 4*p**3 - p**2. Let v be m(l). Solve -2*j - 16 = v*c, -c = -j + 2*c + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 327488 and 12.4826181.\nAnswer: 327500.4826181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-175)\/(-10)*(-96)\/(-15).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.33 + 0.51. Let u = 0.14 - a. Let d = u - -1.7. What is the closest to d in -4, 1\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 147. Find the common denominator of -81\/8 and (-134)\/(-3)*g\/224.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f + 7*f + 7*f + 7 in the form u*f + c and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1115, -1114, -1111, -1106, -1099?\nAnswer: -1090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 65*h - 183. Calculate z(-18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 8*v**2 - 463*v - 2341. Determine q(-5).\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 35. Let r = l - 15.0000014. What is r rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(55) + sqrt(880))\/sqrt(5)*-4.\nAnswer: -20*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -11 + 1. Let y(j) = 4*j - 17. Let u be y(x). Solve u*f = 4*o - 1 - 2, -4*o + 5*f = -5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 2.6. Let l = x - 1.5. Round l to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17936687231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 11*l + 65 = -4*q, 2*q - 78 = -4*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 13*z - 20*z + 288. Let f(r) be the second derivative of -1\/57*r**3 + 0 + 1\/114*r**4 + z*r + 0*r**2. Factor f(m).\nAnswer: 2*m*(m - 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 5. Let k(d) = -3 - 7*d**2 + 2*d**2 - 1 + 6*d**2. Let g(y) = -5*k(y) + 4*w(y). Let f(b) = -7*b. Determine f(g(s)).\nAnswer: -21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(4500) + 0 + sqrt(4500) - sqrt(4500)) - 3*2*sqrt(4500) - (1 + 2*sqrt(4500) + 5))*3)**2 + -1.\nAnswer: 34020*sqrt(5) + 1985228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2661.18 seconds?\nAnswer: 44.353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 833 + 23*q**4 + 12*q**4 - 21*q**4 wrt q.\nAnswer: 56*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 89, 4, -9, -4 in descending order.\nAnswer: 89, 5, 4, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 37. What is r(-21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*k**3 - 42*k**3 + 145*k**3.\nAnswer: 54*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -200 + 211. Suppose o*u + 3 = 58. Solve 2*r - 6 = -u*x, x + 6 = r + 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14501124 - -20?\nAnswer: -14501104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -190*t**3 - 15*t + 15*t + 4.\nAnswer: -190*t**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 17. Suppose b + 5 = 5*a. Find the third derivative of -15*u**2 - 6*u**6 - 6*u**6 + u**a wrt u.\nAnswer: -1440*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 368\/132*15 - (-2)\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t + 563821 = 62863. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-9)\/21)\/((-200)\/(-14)). Let u = -33\/100 - i. Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10014 (base 7) to base 9\nAnswer: -3270","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 292\/53, 16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 5. Let j(a) = 9*a**2 + 5*a + 24. Let p(g) = 7*g**2 + 4*g + 19. Let z(f) = 4*j(f) - 5*p(f). Give -4*o(m) + 20*z(m).\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -961*h. Let d(w) = -2*w - 194. What is d(f(v))?\nAnswer: 1922*v - 194","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - t - 50653 = -731, -10*w - t + 99838 = 0. What is the greatest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 114\/(-171)*3*2\/(-14). Factor -12\/7*m + b*m**2 + 18\/7.\nAnswer: 2*(m - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 5, 11, -7, 3, -2, -352 in decreasing order.\nAnswer: 11, 5, 3, -2, -7, -9, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 220*l. Let v be w(5). Let k = 3804 - 2704. Let y(r) = v*r + 21*r**2 - k*r. Let f(n) = 2*n. Give f(y(m)).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14052325 - -15?\nAnswer: -14052310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9427413 is divided by 7429?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (970*c + 1094*c + 22*c)*(2*c + 1 - 1)*(-2 + 0 + 1) to the form d*c**2 + l*c + g and give d.\nAnswer: -4172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -2 (c) -9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 644?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.4, 0.1, 11, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -13*o**3 + 2*o**2 - 2*o - 2. Let d(v) = v**3 - v**2 + v + 1. Determine 2*d(u) + g(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 2, -0.3, -8.6?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 7*q**2 + 153*q + 3. Let o(g) = -18*g**2 - 461*g - 8. What is -3*o(v) - 8*p(v)?\nAnswer: -2*v**2 + 159*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.928889 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - 4*v + 3*v + 0*v + 7*v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-81)\/(-192)) - (-22)\/(-33)*-9.\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbflfbfjjf. Give prob of picking 1 f, 1 j, and 2 l.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2069 - 48*g - 4192 + 2092 to the form y*g + r and give r.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-189)\/15) - -2*8\/112. Suppose 18 = 3*r - 2*m, r + 5*m + 12 = 1. Which is the second smallest value? (a) r (b) 0.5 (c) l (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 794137.2nm?\nAnswer: 0.7941372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1469561 to the power of 1\/2, to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*m + 20*m**3 - 2 + 4 - 50*m as a + j*m**3 + z*m + x*m**2 and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3675476 divided by 7.\nAnswer: -525068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32865323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((45\/(-20))\/(60\/(-32)))\/((-2)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19013 - 18996. Solve -m*t - 1 - 101 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*k - 217 = 0, c - 19*k + 47 = -22*k + k + k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*u - 25, 9*u - 15 = 6*u. Suppose -14*r - 8 = -q*r, 0 = -c + 2*r + 4. Is c at least -4\/211?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56\/3*y - 2\/5*y**3 + 16\/15*y**2 - 64\/5 = 0.\nAnswer: -6, 2\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -32. Let p be (b\/(-2))\/(-3)*-4. What is the third derivative of 3*s**p + 275*s**2 - 267*s**2 - s**4 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4932.5244 to the nearest ten.\nAnswer: -4930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 + 75*s**2 - 2 + 2. Let k(z) = 2*z**2. What is k(t(v))?\nAnswer: 13122*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/6)\/(50\/90) - -10?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -457 + 337. Which is smaller: w or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101021130 + 1?\nAnswer: 101021131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, -0.4, -0.8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/5 or -644127328?\nAnswer: -644127328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2179228491 rounded to the nearest 100000?\nAnswer: 2179200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*o = -o, 20 = 4*o. Suppose 4*t - 3*b = 13, 0 = h*t - b - 5. Suppose 2*l = 3*m - 10, -4*m - 5*l + t = 3. Solve -3 = m*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 + (-11 - (-16 - -39)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.635 + 0.035. Let q = k + 11.5. Let u = q + 14.17. Round u to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)*2*5*1*-3)\/(-2*((sqrt(490) + (2*sqrt(490) - sqrt(490)))\/sqrt(10) - sqrt(49))\/sqrt(7)).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(92 + 3004*k - 215 + 121).\nAnswer: 6008*k - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 392611630 rounded to the nearest 1000000?\nAnswer: 393000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 138*a**2 + 2*a - 1. Let w be k(1). Suppose 2*l - s - w = -l, l - s = 45. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6075 and 1116450.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 - -100?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696 and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 350 and 574.\nAnswer: 14350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(91)\/(-3*sqrt(7)*-5).\nAnswer: -3 + sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11001100110010 (base 2) to base 13\nAnswer: -5c72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/2730852 and 15\/1668854.\nAnswer: 30039372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from jzzzj?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1865*a - 725*a + 25900 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 958.3302 hours in seconds?\nAnswer: 3449988.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q = 300. Let y = -41 - q. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44, 53, 62?\n\"Answer: 9*i + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 1. Suppose n + 2*r - 16 = 5*n, n + 5*r = 7. What is k(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 201602, 201600, 201598?\nAnswer: 201596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 79*m. Let w(d) = d**2. Give w(q(n)).\nAnswer: n**4 - 158*n**3 + 6241*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00026615 to six dps.\nAnswer: 0.000266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, w: 6, q: 1, a: 4}. What is prob of picking 1 m and 1 q?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -3*x + 3*w, 0 = 3*x + 3*w + 2*w + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 335133000 to the nearest 1000000.\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/2740 and 149\/3288.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -296, -590, -884, -1178?\n\"Answer: -294*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 25. Let h be w(11). Let p = h - 18. Let b(r) = r**3 + 3*r**2 - 5*r. What are the prime factors of b(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 379892 is divided by 11511.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 10*n**3 + 2*n**2 + 7*n - 7. Let c be k(4). Suppose -4*y = 7*y + c. Let j = 65 + y. Solve 0 = b + j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 503.1 and 7377489.\nAnswer: 7377992.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**4 - 1605170*x**3 + 128825326065*x**2 + 515320566460*x + 515326987220.\nAnswer: 5*(x - 160519)**2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w - 1286 = -1276 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1169*z**3 - 1169*z**3 + 2339*z**3 - 610 to x*z + o*z**3 + c*z**2 + s and give s.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*o - 73*o = 60*o + 48*o + 1426 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -11*p**3 + 11*p**2 - 26*p - 54. Is l(-8) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 50*w**5\/13 - 36080*w**4\/13 + 5658572*w**3\/13 + 306773808*w**2\/13 + 3614710338*w\/13 = 0.\nAnswer: -111\/5, 0, 383","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1319 + -3)*200\/(-80)?\nAnswer: 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (36\/(-4) - 4)\/10 and 59\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 884 and 364.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 21966.\nAnswer: 43932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*i - 16. Let g be 6*1*3\/i. Let w = 2 - -1. Solve 0 + 8 = -2*p - g*o, -w*o = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -d - 4*r, 0 = -4*d + d - r + 117. Is d a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 265*l**3 + 131623*l**2 + 143640670*l wrt l?\nAnswer: 1590*l + 263246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/6)\/(2\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 54 = -36. Suppose -o + r*x = -2*x + 1270, 2*o - 3*x + 2505 = 0. What is o rounded to the nearest 100?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836655 is divided by 2746.\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 + 25 = 2*j. Let s = 154 - -38. Calculate the highest common divisor of s and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4371)\/1692 + (-40)\/(-12)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -213, 12, -16, 13, 2.\nAnswer: -213, -16, 2, 12, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001 + 10010001?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 335 - 55 = 56*s. Solve s = 4*c + c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p + 120 = 9*p. Let c(l) = l**2 - 2*l - 5*l + 11 - 2*l**2. Let i be c(p). Solve -i*n = -2 + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-129)\/82)\/((-14)\/54). Let b = p - -47\/41. What is the common denominator of b and (24\/(-432))\/((-4)\/(-354))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4305574 by 182.\nAnswer: 23657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117900 * -0.09.\nAnswer: -10611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*t = 60, 0 = 5*t + 1446 - 1386. Find j such that 2\/7*j**3 + 24\/7*j - 16\/7*j**2 + b = 0.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*q - 2 = 0, 2*m - q + 7 = 4*m. What is the first derivative of -2 - 27*p - m*p**3 + 27*p wrt p?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2879795079 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(-6\/13)\/w)\/(w\/w**22)*w*w\/(w*w\/(((w**7*w)\/w)\/w*w))*w**(14\/11))**8 assuming w is positive.\nAnswer: w**(34104\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 451\/3 at most as big as 149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -824 and 17.74 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) -0.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.62709ms?\nAnswer: 1627090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 1739 = 1735. Which is the nearest to -1? (a) -5 (b) w (c) -2\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/4 + 2*(-545)\/20. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of -w**6\/30 - 25*w**3\/6 - 553*w**2\/2 + 1000*w. What is the derivative of q(x) wrt x?\nAnswer: -4*x**3 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1352, -1353, -1354, -1355, -1356, -1357?\nAnswer: -1358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 39*a**3 + a**2 + 7*a - 5. Let n be q(7). Let s = n + -8060. What is s rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 - 5*m + 2. Let u be v(5). Suppose 0 = -0*x + u*x - 132. Let l = -38 + x. Is l a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16863 and 1460949.\nAnswer: 1533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p - 3. Let h be f(-2). Let y(j) = 5*j**2 + j**3 - 4*j**2 - 2*j**2. Let z be y(2). Solve 0 = -r - 2*l + 1 - z, -h*l = -5*r + 30 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4)\/5 - 351324\/(-536745).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2. Let s(v) = v**3 + 4*v**2 + 2*v - 1. Let f be s(-3). Find the second derivative of 9*c + f*c**3 + n*c + 5*c**4 - 2*c**3 wrt c.\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 1\/2688*r**8 - 1\/120*r**5 + 1\/336*r**7 + 0*r + 1\/160*r**6 + 1 - 1\/24*r**4 + 0*r**3 - 61*r**2. What is m in i(m) = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 3:08 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/((-8358)\/1668 - -5). Let h = -276 - i. Solve -2*c = -3*w - 5, 2*w + h + 12 = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.07 and 4348?\nAnswer: 4347.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17.75 - 19. Let p = n + 2. What is p rounded to one dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {c: 2, a: 6, j: 4}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 2027398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32218 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*c = -31 - 75. Solve c*i - 15*i + 13 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18291929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 44 = -26. Let i(r) = -r**2 + 7*r - 1. Let y(h) = 2*h - 8. Let j be y(7). Let n be i(j). Solve -n*q + v = -0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0 + 2*p**2 + 1\/2*p**3 + 0*p - 1\/24*p**4. Let z be x(0). Solve 2*t + t + 2*s - 1 = 0, 0 = -z*t + 3*s - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of 3*l**5\/5 - 9*l**2\/2 + 8. What is the second derivative of k(u) wrt u?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10036 - 6056. Suppose 9*d + 5*p = 4*d + 19890, -3*p = d - f. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 2. Let a = -316 - -319. Calculate the lowest common multiple of a and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 36763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*b - 25 = -0*c, 2*c + 8 = 3*b. Let z(h) = -11*h - 9. Let i(r) = 17*r + 14. Let f(o) = 5*i(o) + 8*z(o). What is the units digit of f(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2978551, 5956786, 8935021, 11913256, 14891491?\n\"Answer: 2978235*d + 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -1\/8, -0.3, 0.1, 0.8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 64 - -1 - ((175 - 283) + 128)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26, 9, -8, -25, -42?\n\"Answer: -17*k + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22 + -8)\/(12\/762). Calculate the highest common factor of u and 127.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {n: 12, r: 7}?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-10))\/((-19)\/(95\/2)). Solve 4*t + 11 = 2*i + 3, 0 = -i + m for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-53 + (11 - 16)) - ((17 - 11) + -9).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**2 - 2*a + 58. Let d be w(10). Let l = -83 - d. Let t(q) = q**3 + q**2 - q + 2. Let h be t(-2). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 2*a - 34 + 1158623*a**2.\nAnswer: 1158623*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.63 - 0.33. Let t = 0.40466771 - 2.70466955. Let x = a + t. Round x to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46 - 85. Let r = i + 131. Solve r = o + 3*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*u + 24*u + 48*u + 30*u + 59*u + 36*u.\nAnswer: 312*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a micrometer in nanometers?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351631993 to the power of 1\/3, to the nearest integer?\nAnswer: 1106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16713*a - 902494. What is f(54)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, -25, -59?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, 1209, 3782, 7669, 12870?\nAnswer: 19385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 12) to base 13.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -10. Let p = 5 - j. Solve -2*c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*y**4 - 82*y**3 + 30*y - 1 wrt y.\nAnswer: -24*y**2 - 492*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*10)\/(-2)*(-34)\/(-14960)*66?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5284119 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 4:09 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 + 860*a + 5124 = 0.\nAnswer: -854, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:30 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.881 rounded to 1 decimal place?\nAnswer: -74.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**5*f + 9*c**3*f**3 - 121*c - 2*f**3 wrt c?\nAnswer: 20*c**3*f + 54*c*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 13. Let w be f(18). Suppose -3*y - 3*o = 2*o - 126, w*o = 15. List the prime factors of y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2087923?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -180*h - 5. Let c = 79 - 80. Does 25 divide t(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24208 is divided by 95.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 12372\nAnswer: -1\/2062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 2:45 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68573, -68556, -68539, -68522, -68505?\nAnswer: -68488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -138405, -276241, -414067, -551877, -689665?\n\"Answer: p**3 - p**2 - 137840*p - 565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3170321.21 rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lltpl. What is prob of picking 1 l and 1 p?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 2*w + 43, 73*w - 69*w = 3*q - 121 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121200 (base 3) in base 6?\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 47, 5, 49, -11, -1 in ascending order.\nAnswer: -11, -1, 1, 5, 47, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.18452 to the nearest ten.\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5501\/17 - -85899\/170. Let s = -192 + u. Let d = 102635\/14 + -7328. Find the common denominator of d and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 + 0.33. What is the closest to 0.1 in -0.4, -2\/11, o?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -78, 14, -435 in descending order.\nAnswer: 14, 0, -78, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37976.\nAnswer: 2, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1816.43, 0.02, 3\/25 in ascending order.\nAnswer: -1816.43, 0.02, 3\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2*a\/a**(-2\/13)*(((a**(-6)*a*a*a*a)\/a)\/a*a)\/(a*a\/(a\/a**(-8))*a*a))\/((a*a*a*a\/(a*a\/(a\/a**1)*a))**(-49))**(2\/25) assuming a is positive.\nAnswer: a**(3274\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -128475552 divided by 9528?\nAnswer: -13484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let y(z) = -57 - 26*z + 57. What is y(g(p))?\nAnswer: -26*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.21 + -2.209108. Round f to five decimal places.\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, n: 1, p: 1, f: 1, v: 1}. Give prob of sequence npqf.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 + 46*k + 1. Let y(g) = g**2 - 9*g. Let p(t) = 2*b(t) + 11*y(t). Let j be p(-6). What is the units digit of (-3)\/(-9)*(j - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/8 - 5*x**4\/12 + 5*x**3\/12 - 10*x. Let h(u) = 0. Calculate u.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*g + 22, -y = -3*g - 0*g + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 n, and 2 l when four letters picked without replacement from ssssnlsmjllmlslnsmjm?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from nqqunqqnnnnnqq.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 118, -53226, 0 in increasing order.\nAnswer: -53226, 0, 4, 118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 156 - 6. Let i = n - 18. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d2b (base 14) in base 9?\nAnswer: -3484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2889982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 - (-6 + 9 + 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 + 9.1. Let n = -8 + a. What is the third biggest value in -2, 2, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7, l: 12}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.291932 kilograms in milligrams?\nAnswer: 291932","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -207\/5, -391\/4, 0.002?\nAnswer: -207\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 1086535?\nAnswer: 1086553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1166 (b) 0.2 (c) 4 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i - 4. Suppose 0 = 2*h - 23 - 37. Let u(d) = 147*d - 285. Let w be u(2). Let o be ((-36)\/(-20))\/(w\/h). Give c(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-144)\/20)\/((-4)\/10). Let m = 55 - l. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 5*u - 24. Suppose -5*p = -u*d + 259, 10*p - 7*p - 399 = -3*d. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6\/5 (b) -0.3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 306. Let v(j) = -66785*j - 2. Calculate n(v(s)).\nAnswer: 66785*s + 308","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + -2 + -1)*3.\nAnswer: -9 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (-2*sqrt(500) - sqrt(500)))**2 + sqrt(500) + 4.\nAnswer: 10*sqrt(5) + 8004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + 0\/(6\/(-3)). Let v = p + 10. Suppose -3*a - 4*f = -45, 4*a - 43 = 5*f - v. What is the smallest common multiple of a and 7?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.0867 in -296, -124, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -34212, -33998, -33784, -33570?\n\"Answer: 214*c - 34426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -0.07686083?\nAnswer: -0.030744332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -594, -597, -600, -603?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -4) + -8 - -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5992, 0.1, 45?\nAnswer: -5992","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1918*k + 1940*k = 110. Suppose -a - a + 2 = 0. What is the least common multiple of a and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = 6*h. Sort h, 2, 3, 29.\nAnswer: h, 2, 3, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1376784 rounded to three dps?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 45*r - 511. Determine q(11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (23 - 4) + (33 - 34) and 244.\nAnswer: 2196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 319.01 * 2.2\nAnswer: 701.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11140 - 11104. Calculate the smallest common multiple of g and 84.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40.7 + 0.3. Let m = 21 - v. Let t = -24.2 - m. What is t rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/27 of a week in seconds?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 6*y - 33. Let z be u(14). Let q = 92 + z. List the prime factors of q.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6268165 is divided by 69.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*b**3*g*p + 2*b**3*g - 20935*b**3*p - 221*b**3 - 81*g wrt p.\nAnswer: -2*b**3*g - 20935*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2240174 take away -3846885?\nAnswer: 3846885.2240174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29.02633 millennia to years.\nAnswer: 29026.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -3\/2*h**3 - 3\/20*h**5 + 0 + 0*h**2 + 1\/10*h**6 - 5\/4*h**4 - 13*h. Let w(y) = 0. What is y?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {e: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*(sqrt(30) + (sqrt(480)*1 - sqrt(30)) - sqrt(30))\/(((sqrt(24) - (sqrt(24) + -1*sqrt(24))) + sqrt(24))\/sqrt(4))*1.\nAnswer: -3*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m. What is o(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**2*x**3 - 3*f**2*x + f**2 - 17*f*x**5 - 20*f*x wrt x?\nAnswer: 6*f**2*x - 340*f*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.5? (a) -3 (b) 2\/3 (c) -30 (d) -0.08 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201220112 - -11?\nAnswer: 201220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 87*s - 59*s - 40*s - 3 to o + j*s and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -10, -12*d - 1466 = -2*n - 16*d. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1037 divided by 2\nAnswer: 1037\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2958, -5836, -8714, -11592?\n\"Answer: -2878*o - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 35 + -31. Suppose -b = 0, -y*u + b = -u - 51. Let c(m) = m**2 + 2*m + 2. Calculate the remainder when c(-8) is divided by u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11403203 - 2?\nAnswer: 11403201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -37, 220940, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23240.\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*p, 17 = 4*n - p + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.618503g to tonnes.\nAnswer: 0.000009618503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lfg when three letters picked without replacement from tfwlgttwwwwwl?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 13*u**2 - u + 17. Let p = 107 + -109. Let d(f) = -5*f**3 + 66*f**2 + 5*f - 86. Let t(q) = p*d(q) - 11*h(q). Determine t(11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 360, 1417, 3168, 5613, 8752, 12585, 17112?\n\"Answer: 347*f**2 + 16*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 (base 11) to base 12\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 25*t - 19*t = -64. Solve -4\/3*y + 0 + 1\/3*y**4 + 0*y**t + y**3 = 0 for y.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:10 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 7*j**2 + 8*j - 1. Let t be l(-8). Let o be (26 + 2)\/(2 + t). Let q = -3 - -7. What is the highest common divisor of q and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*k - 24*k - 12*k. Is -10844 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 1896 = -2*l, 5*x - 4700 = 5*l. Suppose x = -2*d + 64. Let o = 86 + d. Round o to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g + 0 + 0. Let y(r) = -5*r**2 - 6*r - 6. Let j(m) be the first derivative of m**3\/3 + m**2\/2 + m + 2. Let c(u) = 6*j(u) + y(u). What is c(v(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/10)\/1*(-67870)\/(-2468).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.85 + 36.65. Let s = v + -37.499669. Round s to 5 decimal places.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 2*a**2 - 127*a - 3. What is v(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*l**3*n**3 + l**3*n - 7*l**3 - 69*l**2*n**3 - 6*l**2 + 2*l*n**3 - 164*n**2 wrt n.\nAnswer: 390*l**3 - 414*l**2 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 20101221100 (base 3) to base 9\nAnswer: 211840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 4 (c) -1\/52 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 453*q**2 + 7032 wrt q?\nAnswer: 906*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013044152?\nAnswer: 2, 3, 607, 69539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3546*m + 0 - 3546*m + 0 - 2405*m**2. Let z(l) = l. What is s(z(x))?\nAnswer: -2405*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 16. Let w(q) = -q**2 - 3*q**3 - 1 + u*q**2 + 6*q**3 - 2*q**3. Let b(c) = 5*c**3 + 3*c**2 + 2*c - 2. Give b(x) - 3*w(x).\nAnswer: 2*x**3 + 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 8*w = -10*w - 12, -4*w - 8 = -2*g. Suppose -2*u + 6 = -3*z, 0*z - 5*u + 15 = -g*z. Solve b + z = -5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 371949404 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 + 406*x**3 - 17334*x**2 - 332014*x - 1330672 = 0.\nAnswer: -8, -7, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*z = 13*z + 10398. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 10670580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4 + 2*l - 4. Let g(i) = 17*i - 12*i - 11*i. Calculate g(u(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 3. Suppose 2*d - 6*d + 20 = 4*x, 3*d + 2*x - 16 = 0. What are the prime factors of c(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/77*(-182)\/13\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 9*y**2 - y - 6. Let a be v(-9). Let r = a - 8. Let m(s) = 2*s**2 + 3*s - 6. What is the units digit of m(r)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13010223 (base 4) to base 3.\nAnswer: 1110202000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 9*n**7\/70 + 29*n**4\/24 + 29*n**2. Find the second derivative of g(z) wrt z.\nAnswer: 324*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31220, 3, -5 in descending order.\nAnswer: 3, -5, -31220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44)\/330*10\/(-4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 74?\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 14, d: 4}. Give prob of picking 2 d.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/100 and -37\/16.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*i = -29, 4*p - 1 - 7 = 5*i. Differentiate -5*t - 4 + 12 + 0*t - p*t with respect to t.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 4 - v + 3*v + v - v + (0 - 1 + 2)*(-3 + 3 + v) + (49*v - 12*v - 17*v)*(5 + 1 - 4) as g*v + j and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**2*s + 2*g**2 - 3762*g*s**4 - 475*g - 2 wrt s.\nAnswer: -2*g**2 - 15048*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9391 - -11146. Calculate the smallest common multiple of 6 and s.\nAnswer: 3510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -30 or -117\/4?\nAnswer: -117\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -11*p**2 + 8. Let u(q) = q**2 - 1. Let f(d) = 3*i(d) + 24*u(d). Suppose -5*n + 14 + 11 = 0. Let a(g) = 8*g - 21*g + 10*g + n*g. Determine f(a(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -377691 (base 10) in base 3?\nAnswer: -201012002120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-8)\/(-2) - -2. Suppose 0 = -f*u - u - 5*s + 40, 0 = -2*u - 4*s + 16. Is (-134)\/u*(-14 - 14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 8*n**2 + 17*n + 10.\nAnswer: (n + 1)*(n + 2)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d - 127. Calculate the remainder when j(35) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**3 - 15*j**3 - 2060993*j + 2060993*j - j**2 + 42*j**3 + j**2.\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 4:48 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 + 4*z + 6. Let p(g) = -g**2 + 5*g - 3. What is the remainder when v(0) is divided by p(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 65, 153, 255, 359, 453, 525?\n\"Answer: -2*y**3 + 25*y**2 + y - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(-6)\/90*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 4. Let y be (7 + -26)*(-4)\/((-12)\/(-27)). Let z be y\/6 - (-1)\/c. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 16*k + 42. Determine o(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bxbo. What is prob of sequence bbo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + -0.2. Let k = -1.5 - y. Let g(l) = -2*l - 80. Let q be g(-38). Sort q, k, -1\/3 in decreasing order.\nAnswer: k, -1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 50 = -3*z. Suppose -z*b + 20 = -40. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9883850 + 32983850. Round t to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2 - 28*g - 147 = 0 for g.\nAnswer: -21, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 - -eb1?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4570, 9147, 13720, 18289, 22854, 27415?\n\"Answer: -2*g**2 + 4583*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 2*r - 144 = 0. Let m(h) = 2*h + 12. Let d be m(-15). Let f be (d\/45)\/(2\/(-10)). What is the greatest common factor of r and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 198, -10 in increasing order.\nAnswer: -10, -1, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (251 - 928 + 417)*(z - 4*z + z)*(-13 - 4 + 4).\nAnswer: -6760*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3433 (base 7) in base 13?\nAnswer: -751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-10\/3)*p))\/p**7)\/(p**(1\/3))**24 assuming p is positive.\nAnswer: p**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 + 793 = 135*z - 932 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 473531.\nAnswer: 473531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19 - 4833770869.\nAnswer: -4833770850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - (-336)\/(-60))\/(1\/20). Calculate the greatest common divisor of 44 and j.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 4*d**2 + 4. Let a be p(3). Let l be a\/60*(-570)\/(-4). Suppose 9*k + l = 10*k. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 7:36 PM?\nAnswer: 6:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*a - 35*a - 8. What is the derivative of -112*y - 8 + 18 + a - 8 wrt y?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1159 and 480.\nAnswer: -556320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14812760233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and -0.0882.\nAnswer: -5.0274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22478536*g**2 - 22478536*g**2 - 4410*g**3.\nAnswer: -4410*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -9378.8 minus -469.805?\nAnswer: -8908.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1280 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -j - 13, 3*x = -5*j - 0*x + 27. Let t be j - (4 + 1) - -2. Let u = -11\/9 + 289\/207. Which is smaller: u or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Suppose q*b - 11 - 5 = 0. Is b >= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -10977*20\/(-45)*3\/12. Let o = -25531\/21 + d. What is the common denominator of o and -4\/35?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*b**3\/7 + 122*b**2 - 2568*b + 3240\/7 = 0 for b.\nAnswer: -54, 2\/11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 35868*p + 1829272. Give f(-51).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.062 (b) 15\/2 (c) -0.6777\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*t**2 - 26*t**2 + 9 - t**3.\nAnswer: -t**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*r**2 + 157*r**2 + 267743 - 52*r**2 - 55*r**2 - 267743.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 99.6147 millilitres to litres.\nAnswer: 0.0996147","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2915748394 a multiple of 1586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 2. Let d be l(-2). Let t be -4 + d - (-1 - 1). Solve 0 = -t*n - 0*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 506970252 a multiple of 417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003 is divided by 101?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2367088*c**4 + 2*c**2 - 69*c - 6303.\nAnswer: -56810112*c","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let d = 0.8 + -0.5. Let f = 5 - 9. Which is the closest to -0.3? (a) d (b) 2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(56)\/(sqrt(800)*-2).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 8:22 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-2742)\/(-9) + 175\/(-105) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25 and 2950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 12. Let t be j(-8). Suppose 11*q - t = 9*q. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - -21962206833958.\nAnswer: 21962206833958.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/126*((-10)\/(-15) + 4) - -4?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124\/85 - -18\/17. Let z = -10.98 + -0.02. Let o = -16 - z. Which is the second smallest value? (a) o (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-8))\/((-2)\/82). Suppose 0*q + q + 21 = 0. Let r = q - z. Is 3 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b - 20. Calculate m(-2).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q, -q = 4*b. Let g = 7 + b. Is (-2)\/(-7) - (-404)\/g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11\/((-1650)\/100))\/((-8)\/468)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11 + (-252)\/(-24))\/(9\/(-12)). Let w(m) be the second derivative of -m**2 + 0 - i*m**3 - 8*m. What is the first derivative of w(y) wrt y?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 48\/589 and 35\/361?\nAnswer: 11191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1344.52 * -0.0437\nAnswer: -58.755524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78565994 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of -53*j**4\/24 + 6*j**3 + 2*j**2 + 3. What is the derivative of m(o) wrt o?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150 (base 8) to base 13\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/188 or 0.13?\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u**2. Let x(p) = 2*p + p - 4*p. Give x(s(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -7*o**2 - 60. Let n(a) = 5*a**2. Calculate b(n(h)).\nAnswer: -70*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-36)\/27 + (-1 - (-7990)\/(-15)). Let v = m + 577. Calculate the smallest common multiple of 16 and v.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dwdf when four letters picked without replacement from {f: 7, p: 5, w: 3, d: 2, u: 3}.\nAnswer: 7\/19380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/3 - 118*q**2 - 976*q - 5920\/3.\nAnswer: 2*(q - 185)*(q + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8362530 rounded to the nearest 10000?\nAnswer: -8360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2144\/17 + -126. Determine c so that 2\/17*c - o*c**3 - 6\/17*c**2 + 4\/17 + 2\/17*c**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-11) - 436220\/(-748). Let o = -581 + x. Determine s, given that -18\/7*s**3 + 0 + 3\/7*s**5 + 24\/7*s**o - 9\/7*s + 0*s**4 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 86 + -111. List the prime factors of 5\/i + 14128\/40.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58278679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -210, 4, -4 in descending order.\nAnswer: 4, -1, -4, -210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00122881799 to six decimal places.\nAnswer: -0.001229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3, 0.2, -468776?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1260*h - 1613*h - 463601 = 959*h + 1377*h for h.\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-11 - -12)*(1 + -9). Let j be (d\/3)\/((-10)\/15). Solve j*z - 2 = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000489145 rounded to seven decimal places?\nAnswer: 0.0000489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7 + 1\/7*l**2 + 1\/7*l.\nAnswer: (l - 1)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 19) + 39864\/1287.\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(-6)\/(-30)*5. Solve -5*q - 5 = -q + 5*i, -k*q + i = -1 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhiei. Give prob of picking 2 i and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.5 or 4\/2235?\nAnswer: 4\/2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*(sqrt(1100) + sqrt(1100)*-1) + 5*sqrt(1100)*2)**2.\nAnswer: 220000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, -0.3.\nAnswer: -2, -0.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/((-18)\/(-27)). Are x and -7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42741403 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1243.\nAnswer: 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 112 + -88. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*c**2\/2 + 266620*c - 106650.\nAnswer: 5*(c + 21330)*(5*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1387 - 1387. Solve q = 4*d - 8, 2*g + 8 + 4 = 2*d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -2\/9, -0.1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 7 - 4 - 6 + 6*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 + -21.55. Let d = x + -0.5. Let q = -0.043 - d. Round q to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqssqq. What is prob of picking 1 s and 1 q?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:59 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -24*y + 20*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -394ec + -16?\nAnswer: -39502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 261007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2651 is divided by 180.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628918827 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14673876263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-17)*d**(-22) assuming d is positive.\nAnswer: d**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14139498, 14139497, 14139496, 14139495, 14139494?\nAnswer: 14139493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3161 + 427. Suppose -g = 27*o - 30*o. List the prime factors of o.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 59*q**2 - 2*q + 4. Is z(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12a - -4?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.784 plus 0.117?\nAnswer: -1.667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 33*k**2 - 10*k**4 - 33*k**2 + (8*k**3 - 25*k**3 - 17*k**3 + (2 - 2 - k)*(k**2 + k**2 - k**2))*(0 + 1 + 1 + k).\nAnswer: -45*k**4 - 70*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 227, 417, 525, 545, 471, 297, 17, -375?\nAnswer: -885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -f + 1, 5*f + 2*c = 125 - 12. Calculate the least common multiple of f and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212120 (base 3) to base 10\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 - 7*i**5\/30 - i**4\/24 + 17*i**3\/6 + 47*i**2. Let v be t(14). Solve v*n - 2*w = 10, 2*w + 2 = n - 0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7567 - -454097\/60. Find the common denominator of 26\/(-9)*132\/64 and u.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 q when three letters picked without replacement from vvaqvqaavaaaqaqaaqa?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -10. Let c(g) = g**2 - 11*g + 18. Let b be c(i). Solve 2*t + 4*h = -2, -2 = -2*h - b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 12:03 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 0) + (8 - -4) + (22 - 12).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2646*s = -2873*s + 7718 for s.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, -16, 30073, 7 in descending order.\nAnswer: 30073, 7, -16, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16906.\nAnswer: 2, 79, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7643231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -5*s + 42, -3*s - 4*m = -33 + 2. What is the remainder when 337 is divided by s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 3*q, -2*o + q = 5*q. Suppose -l - 137 = -5*b, o*l + 62 = b + b. Solve 7*x + b = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6480?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3761581 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 5:18 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*g + 164024 - 6020. Does 57 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265801088 to the power of 1\/2, to the nearest integer?\nAnswer: 16303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**4 + 12*h**3 - 23*h**2 + 6*h - 6. Let p(z) = -z**3 + z**2 - z + 1. Let o(q) = f(q) + 6*p(q). Find the third derivative of o(j) wrt j.\nAnswer: -24*j + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8174?\nAnswer: 2, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 508176 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 13 + 1 = -4*w, 3*w - 2*y = 14. Solve 3*p - 19 = 4*t, -23 = -w*p + 3*t - 9 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 95. Let x be j(-19). Factor 4\/11*o + x - 2\/11*o**2.\nAnswer: -2*o*(o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2451 - 122563\/50. Find the common denominator of y and 73\/660.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 391 or -213?\nAnswer: -213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 224 - 200. What are the prime factors of 3 + w\/12 + (-464)\/(-1)?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-322)\/(-784) - 66\/528?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(2\/10*3). Solve p - 5*p - s*t + 1 = 0, 1 = p + 2*t for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14.8. Let l = 6.1876 - 1.1876. Is v smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 2*l + 0 - 8 + 5*l - 5*l**2 - l**3. Let p = -247 + 249. Suppose 2*n = -w - 13, 0 = -n - p*w - 6 - 2. Calculate m(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.29*-2825160.\nAnswer: -819296.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 11:12 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -228 bigger than -230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j + 99 + 93 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 623.957? (a) -1 (b) 3 (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 7*a**2 + 740*a - 1481. What is the lowest common multiple of 360 and j(2)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + -1)\/(-10 + (-1144)\/(-117)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2 + 70\/(-40) + 124\/57 + -2 and 91\/8.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -54262*m. Let x(v) = -v. Give k(x(r)).\nAnswer: 54262*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1150401 is divided by 383464.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -4, 21 in increasing order.\nAnswer: -9, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + 1 - (sqrt(176) + 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d - 4. Let s = -13 + 8. Let q(j) = j**3 + 6*j**2 + 3*j + 5. Let n be q(s). Is g(n) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.2 + -10. Let h = n + 0.5. Let w = 3.3 + h. What is the nearest to 1 in -3, -2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 53.6 + -54. Let i = -2.92 + -0.08. Suppose 84*p + 6 = 81*p. Sort k, p, i, 0.5 in descending order.\nAnswer: 0.5, k, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 45577.\nAnswer: -3\/45577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -396, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -12, -2*b - v = -5*v + 54. Let o = 28 + b. Calculate the remainder when 25 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -281 - 36*a**3 - a**2 + 92 + 5*a**3 + a**4 + a**2 wrt a?\nAnswer: 4*a**3 - 93*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52811 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 0.1, -15, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -491208, -491222, -491238, -491256, -491276, -491298, -491322?\n\"Answer: -u**2 - 11*u - 491196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11049.7 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (24\/5 - 5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/(-4) - (-1)\/4. Suppose -s + 3 = 3*l - 4*l, u*s + 3*l - 7 = 0. Let f(w) = -s*w + 0 + 0 - 2. Give f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 7495, 14995, 22495, 29995?\n\"Answer: 7500*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22308279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 + 5*r. Let q(h) be the second derivative of h**4\/4 + 2*h**3\/3 + 39*h. Give 5*q(o) - 4*y(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18778.311 + 18769. Let u = 0.011 + o. Let n = u - -8.61. What is n rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1184936 is divided by 996.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1009, 898, 785, 670?\n\"Answer: -w**2 - 108*w + 1118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50898976*b**4 + 2*b**2 - 562355310*b?\nAnswer: 610787712*b**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4587 + 6021 = -459656*f + 459968*f for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 281*h**6\/15 - 399*h**2\/2 - 1725*h + 2. What is the derivative of y(m) wrt m?\nAnswer: 2248*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4)\/10 + 829440\/225?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:18 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 11:47 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*u - 62*u = -a + 1, -3*u = 3*a - 27 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 5:46 PM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxylyllxiliilxyyxxip. What is prob of picking 1 p and 1 y?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1145 = 113*p - 342*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -5*r + 107. Suppose 6*t = 2*t + 8. What is the second derivative of r*k - 56*k**2 + 27*k**3 + 56*k**t wrt k?\nAnswer: 162*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143 + -76. Suppose 2*f - 2 = -5*g, 0*g = 5*f - 3*g - p. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**4\/24 + i**3\/6 + 3*i**2\/2 + 3*i. Let u(f) be the first derivative of l(f). Determine u(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 22, -1, -34, -83, -154, -253, -386, -559?\n\"Answer: -g**3 + g**2 - 19*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 11*j + 37. Let o be y(-9). Let n be (36\/20)\/(1\/o). What is the greatest common factor of n and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - 1*sqrt(495))\/sqrt(9) + sqrt(165)\/sqrt(3)*-2)\/((sqrt(396) - sqrt(396)*-1 - sqrt(396))*-6 - sqrt(396))*-6.\nAnswer: -2*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(324) + sqrt(24) + sqrt(24))\/(-3*sqrt(40)\/sqrt(5)).\nAnswer: -13*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1719284*b + 15633145?\nAnswer: 1719284","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -1\/3 (c) 42421 (d) 4 (e) 1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*x - 772 + 2459 = 0 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:06 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -41?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 1 - 1)*(-h**2 + h**2 - h**2) + 0*h**2 - 3*h**2 - 2*h**2 - 1229 + 1229 - 619*h**2)*(2 - 2 - 2*h + (2*h - 4*h + 0*h)*(-4 + 1 + 5)).\nAnswer: 3756*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292826.222 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 663 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 4*d + 4. Let c be s(-4). Suppose c*i - 11 = 1. Solve -i*p + 5 + 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -22. Let p(j) = -j**3 - 13*j**2 + j + 16. What is the units digit of p(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -q**3\/6 - 18*q. Suppose -3*r + 0*r = -18. Let c(g) = -r*g + 3*g - g. Determine c(j(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 329, 277, 213, 131, 25?\n\"Answer: -k**3 - 45*k + 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -73, -483, -1509, -3421, -6489, -10983, -17173, -25329?\n\"Answer: -45*l**3 - 38*l**2 + 19*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(171) + 2)*-5.\nAnswer: -15*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 + 13. Let a = 2 + v. Suppose 0 = 4*w - a - 3. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 11:07 AM?\nAnswer: 3:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17826 + -17813. Solve -y = j*f - 9*f + 3, -2*f + 2 = 4*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 479216050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92067.1 - 4370.\nAnswer: -96437.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 2*i - 1. Let l be 0*((3 - 0) + -2). Suppose 5*r + l = -5. Calculate x(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*o - 0*c + c, -5*o + 5 = 5*c. Suppose l + 3*l + 4*r = -4, -5*l - 7 = o*r. Which is smaller: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6580053309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 16 - 4. Let n(t) = 46*t**2 - 25*t + 10. Let x(f) = 16*f**2 - 8*f + 3. Let y(w) = -2*n(w) + 7*x(w). Is y(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4357 = 357*z - 2426 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -15. Which is the nearest to 2\/7? (a) -1\/5 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 8*k - 4. Calculate the least common multiple of x(-1) and (4 + 0 + 98)*(-4)\/(-24).\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o + o - o)*(5*o**3 - 21*o**3 + 11*o**3) as p*o**2 + s*o + a*o**4 + q + y*o**3 and give a.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 9157, 12760, 16363, 19966?\n\"Answer: 3603*v + 5554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-42)*-4*7. Sort u, -7, -3 in ascending order.\nAnswer: -7, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194 = 104*n - 222. Let j be ((-1 - -4) + -4)\/1. Suppose h = -0*h. Sort h, n, j in ascending order.\nAnswer: j, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 - 7 - 6*t**3 + 57*t + 8*t**3 - 51*t. Let u(b) = 5*b**3 + 5*b - 5. Let l(g) = -5*u(g) + 4*z(g). Calculate l(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46 - 47. Let x be (n - 0)*(9 + -15). Suppose 0 = x*u + 83 - 323. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 108*p**2 - 8*p - 9. What is s(-1)?\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6367\/19 - 335. Let y be (-624)\/(-64)*(-80)\/(-3). Let r = y - 2342\/9. What is the second biggest value in -1\/2, r, t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/2 and (-520)\/90 - (-6)\/(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -358. Let j = s - 194. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 5.2\nAnswer: -5.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 + 8*z - 148. Let t(d) = 6*d**2 + 10*d - 151. Determine -4*t(w) + 5*x(w).\nAnswer: w**2 - 136","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 - x - 4. Let k be o(0). Let b = -2 - k. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 27*s**2 + 112*s - 1720. Give l(29).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 51047.74 micrometers?\nAnswer: 0.00005104774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 4\/32 - (-291)\/(-24). Let n(b) = -48*b + 109. What are the prime factors of n(f)?\nAnswer: 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198450 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -811*u**3 - 839*u**3 - 1025 + 1655*u**3 wrt u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11100?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 72592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 128, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 59, 80, 97, 110, 119, 124?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 5*l + 1, 2*i - 2*l + 2 = 12. Let t = 50 - 50.01. What is the closest to t in 0.3, i, -2\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(208))**2 - -2*sqrt(117)).\nAnswer: 6*sqrt(13) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1748 is divided by 864?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**3 + 2*f + 1. Let j be z(-1). Suppose d - j = -8. Let h(a) = 2*a + 13. Let t be h(d). Is 0 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**4 - u**3 - 2828*u**2 - u + 24480 wrt u?\nAnswer: -4*u**3 - 3*u**2 - 5656*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(15) - 2*sqrt(15)*6 - (4*-2*sqrt(15) - sqrt(15)))\/(-4*(sqrt(405)*2 + sqrt(405))*1).\nAnswer: 2*sqrt(3)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 + 17*f - 66888. Let y(h) = 9*h. Give w(y(m)).\nAnswer: 324*m**2 + 153*m - 66888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 15*s + 90. Let b(p) = -7*p - 44. Give -6*a(o) - 13*b(o).\nAnswer: o + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1495, 1507, 1543, 1615, 1735, 1915, 2167, 2503?\n\"Answer: 2*g**3 - 2*g + 1495","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*a + 4 - 4)*(-4*a + 4*a - 3*a)*(-3*a + 6*a + 0*a) + (5*a**2 + 11*a**2 - 7*a**2)*(-3*a + a - a) as i*a**2 + y*a**3 + z + x*a and give y.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/20 - c**4\/12 - 23*c**2\/2 + 8*c. Calculate u(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -19*g. Let d be s(-1). Let c be 2\/(243\/45 + -2 + -3). Solve 5*z = -2*r - d, 4*r = c*z - 22 + 59 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 + ((-20355)\/(-18) + -9 - (-1)\/6) and 118?\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27371 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196, 190, 184, 178?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 6733866*g - 6733868.\nAnswer: 2*(g - 1)*(g + 3366934)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 39.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16968 * 958\nAnswer: 16255344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 1 o when three letters picked without replacement from eylmyoyyl.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - 4*t - 2. Let p(i) = 3*i**2 + 8*i - 15. Let l(m) = -2*m**2 - 4*m + 6. Let o(n) = -7*l(n) - 3*p(n). Give 4*a(z) + 3*o(z).\nAnswer: -z**2 - 4*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 15 = -3*c. Let k be (-25000)\/(-14) + c\/(-4). Let z = k - 1779. What is the common denominator of z and -30?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 584 and 22.\nAnswer: 6424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 222 + 762 = 0. Solve -2*x - 35 + w = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: Round 1617.5 to the nearest ten.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-4)\/9*(-3 + 2).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 6 - (-5 - -5). Suppose 3*x - d*x = 20. Let t(h) = -5*h - 10. Is t(x) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3996 - 1.4752836?\nAnswer: -3997.4752836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**5 - 821*g**4 - 125407*g**3 + 18004417*g**2 - 319132240*g + 1524597700 = 0.\nAnswer: -457, 10, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 11, 37, 85, 161, 271?\nAnswer: 421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.4942 + 1.5198. Let z = 7 - 20. Let c = v + z. Round c to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.004 * -443.1.\nAnswer: -1.7724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 11:45 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -51*v - 48. Let n(j) = 52*j + 47. Let l(m) = -4*c(m) - 5*n(m). Find the first derivative of l(t) wrt t.\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.947807 from -0.5.\nAnswer: -2.447807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 43*t + 8479. What is v(-72)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(78)\/sqrt(2) - (sqrt(39) + (sqrt(39) + sqrt(351))*-1))\/(5*(sqrt(3) + (sqrt(3)*-1 - sqrt(3))*-6)) + -1)**2.\nAnswer: 2*sqrt(13)\/65 + 326\/325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -778 (base 10) in base 5?\nAnswer: -11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*o + 40, -115489*m = 3*o - 115496*m - 56 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 22*u**2 - 3*u + 6*u**2 + 3*u**2 + 10*u**2. Let p(g) = -2*g**2 - 7*g. Let l = -7 - -11. Give l*p(d) - 9*w(d).\nAnswer: d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 119 (base 11) to base 7\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + -3*sqrt(1573))**2 + 0 + -6*sqrt(1573)*5 + -4 + sqrt(1573)*3.\nAnswer: -231*sqrt(13) + 14154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y**4\/5 + 189741*y**3\/5 - 18975*y**2 - 94872*y\/5 = 0.\nAnswer: -31624, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -337 or -880?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1066895)\/175380 + 17\/((-3)\/6*-6)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4878 and 3231404?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-132)\/30)\/(2\/10). Let f = 61 + c. Calculate the highest common factor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 37. Let l = s - -5.000011. Round l to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 812, 1843, 3296, 5177?\n\"Answer: y**3 + 202*y**2 + 2*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - -30 - ((-1 - (-7 - -5)) + -5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14 - -15 - (-1 - -4). Suppose -57 = -b + 125. What is the highest common factor of v and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 9*k = -30. Let j be 30\/((k\/(-8))\/1). Suppose -7*n + j = -3*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 57 + 2*3\/(-6). Suppose r + 3*r - 12 = 0, 4*r = -4*t + d. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 281500 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 - (-28)\/(-4)) + (2 - 1). Which is the nearest to 0? (a) 2\/5 (b) -2\/193 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06757379873 to three decimal places.\nAnswer: -0.068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 12 = -3*r, -a - 4*r + 13 = 2*a. Suppose -a*q + 19 = 4*t - 105, -q - 4*t + 28 = 0. Find the second derivative of 6*p**4 - q*p - p + 18*p wrt p.\nAnswer: 72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14504 or -14505?\nAnswer: -14505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/2 (b) 864 (c) -2\/3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*f = 5*f - 111, 4*g + 2*f + 90 = 0. Round g to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -199*a**2 + 1323*a - 11. Let p(x) = 166*x**2 - 1324*x + 9. What is 6*p(n) + 5*t(n)?\nAnswer: n**2 - 1329*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -787 + 1333. Does 39 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 522 + -536. Let f(g) = -g - 23. Give f(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 6 = a. Is a - (-1 + 0)*9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = -3*h - 3*f - 3, -27 = 5*h - 4*f for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -2.6. What is the closest to -2\/7 in -1, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = n + 3*n + 6*f + 46, -n + 4*f = 2*f + 15 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -760315 - 412*z + 760315.\nAnswer: -412*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.76454 rounded to 0 decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0.5, 0.1, -1271 in increasing order.\nAnswer: -1271, 0.04, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 99790 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98 and 1134?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2*c - 1189 = 258, f - 1451 = 2*c. Suppose 74*g = 71*g + f. Calculate the remainder when g is divided by 81.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 233*u**2 - 192*u - 373. Let r be f(-2). What is the greatest common divisor of 369 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 7*k**2 - 2*k - 1. Let b(x) = -2*x**3 - 15*x**2 + 4*x + 2. Let g(h) = -7*a(h) - 3*b(h). Determine g(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 1:26 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 71*n + 3. Let g be -23 + 23 + (2 - 0). Let x(i) = -4 + 51*i**2 + 4 - 50*i**g. What is y(x(l))?\nAnswer: 71*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*m - 4*z = 57*m - 125*m - 8, -6*z + 16 = m - 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257 = -2*k - 5*t - 199, 0 = -5*k - 3*t + 31 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 2:20 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q**2 - q + 1. Let i(y) = -6*y**2 - y + 1. Calculate 4*i(h) - 5*t(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10417 in -0.5, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -52, -38, -8, 44, 124, 238, 392?\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 83*i - 892. Give v(10).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0236 to 3 decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 1*sqrt(72))**2.\nAnswer: 12*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 54. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 7:25 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 190968 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -6. Suppose 0 = 3*b + 2*o - 10, -t*b = -5*o - 4 - 9. Find the second derivative of -3*g + 3*g**4 - b*g**4 + 3*g**4 wrt g.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30609)\/1074*4\/(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 6724 - 19864. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81774)\/(-4851))\/(2\/(-7))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190133 is divided by 1211.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 458597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22385 is divided by 22225?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71586.\nAnswer: 2, 3, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 10:30 PM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.50864 - 0.446017. Round z to three dps.\nAnswer: 0.063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*8\/(-360)*10\/(-388)*1936\/(-484).\nAnswer: -2\/291","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3972104261 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*h - 21, -5*h - 10 + 34 = -p. What is the units digit of ((-20)\/(-4) + -2)*p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 403 + -403.04. What is the closest to -6 in m, -3, -4\/7, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002201783467 to six dps.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3090696 or -3090748?\nAnswer: -3090748","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8555 - -42421\/5. Let h = 71 + a. Let h*n + 1\/5*n**2 - 2\/5 = 0. What is n?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 27197 = -5*v, 21745 = 4*v - x - 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 11.69\nAnswer: 1.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + z + 760 = 0, -c + 3*z - 10 + 176 = 0. Suppose -4*h - 3*o + c = -3*h, 5*h + 5*o = 745. Let r = h - 1923\/13. Is 1 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(175) + -3*sqrt(175) - (3 + sqrt(175)*2) - (sqrt(175) + -4*sqrt(175) + 1 + -5*sqrt(175)*4))**2.\nAnswer: -380*sqrt(7) + 63179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823 is divided by 95?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 54 = 11*b - 9, 3*j - 31 - 18 = -5*b for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 64*x**3 + x**2 + 2*x - 1. Let y be k(2). Suppose -g + 341 = 2*z, 0*g - g = -3*z + y. List the prime factors of z.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2882, -8482, -16790, -27800, -41506?\n\"Answer: u**3 - 1360*u**2 - 1527*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l. Let x(u) = 251995*u**2. What is x(d(k))?\nAnswer: 1007980*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/319978 and 103\/100914.\nAnswer: 116152014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 893011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 9*k. Solve -1 = x - k*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 349 - 1198. What is the third derivative of -3 + 8 + 198*x**6 - t*x**6 + 18*x**2 - 5*x**5 wrt x?\nAnswer: -2760*x**3 - 300*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -46. Let f be -9 - 390\/(-42) - (-1334)\/x. Let m = 117 + f. Does 22 = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 1. Let r(b) be the third derivative of -13*b**4\/12 + b**3\/3 - b**2 + 319. Give -3*q(u) + r(u).\nAnswer: -29*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((3 - 2) + -3)*1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*j - 3699 - 4*j + 3697)*(-j**4 - 3*j**4 + 2*j**4).\nAnswer: -26*j**5 + 4*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vivv when four letters picked without replacement from iiviiivviviiiviiiii?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2*sqrt(700) - (-1 + sqrt(1008))**2) + 4 + ((1*(sqrt(63) - sqrt(126)\/sqrt(2) - sqrt(63)) + sqrt(63))\/(sqrt(90)\/sqrt(90) + sqrt(9)))**2)*-5.\nAnswer: -20*sqrt(7) + 5010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 181 - 179. Let x = -5 - -4. Which is the nearest to x? (a) u (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 2 - 2)*(-8*c**2 - 13*c**2 - 5*c**2) + (c**3 + 0*c**3 + 0*c**3)*(4*c - 2*c - c) - 2*c**4 + 5*c**4 - 2*c**4.\nAnswer: -76*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 623 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/(-46) + 2 + (-10)\/6.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**9\/((z**(-5)\/z)\/z)*(z\/((z**(2\/5)*z*z)\/z))**(-2\/19))**(-27) assuming z is positive.\nAnswer: z**(-41148\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 6*z + 117.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1989*z**2 + 24810*z**2 - 22817*z**2.\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2 + 10 + 0 - 2*s. Suppose 2*z - 5*i - 12 = -8*i, 2*z - 5*i + 4 = 0. Let k be u(z). Solve -r + 15 = -k*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8269 = 13*c - 34748. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-20)*-1)\/(((-2)\/45)\/(824\/(-15759)))?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 9) to base 11\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/399292 or -11?\nAnswer: -1\/399292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90618 and 5676?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22212133 (base 4) to base 7\nAnswer: 240412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563*v + 1274 = 570*v. Calculate the greatest common factor of v and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-40)*-44*(-2)\/4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14071499 and 293813?\nAnswer: 1261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -41, -3.\nAnswer: -41, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2220100121122 (base 3) to base 4\nAnswer: -11320202030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/7 + 2*g**2\/7 - 20*g\/7 + 24\/7.\nAnswer: (g - 2)**2*(g + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*(51\/120)\/(-17)*(-6)\/21.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.039391 micrometers to centimeters.\nAnswer: 0.0009039391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e when three letters picked without replacement from {e: 6, b: 2}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 + (45 - 39).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.557*3.\nAnswer: -10.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 888*h + 39117 + 843 for h.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:29 AM and 8:48 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.14 + 1.64. Let g = -155 - -157. Let o = 2 + -4. Which is the second smallest value? (a) t (b) 1 (c) o (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -3624944.\nAnswer: 3624950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(21))\/sqrt(7) + sqrt(27)\/(sqrt(18)\/sqrt(2)) + (-1*(sqrt(108) + -1)*-2)**2.\nAnswer: -49*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8520241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -64, -151, -308, -559, -928, -1439?\nAnswer: -2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2900663 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-20)\/56*(20\/25)\/(-2)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -11a716c?\nAnswer: 11a7171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 37 or 5807\/156?\nAnswer: 5807\/156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yftkeny. Give prob of sequence yt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-5)*5*(-22)\/4. Differentiate m*f - 8*f - 3*f - 17*f**2 + 28 with respect to f.\nAnswer: -34*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/(-2))\/36)\/(1\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -80, 340 in increasing order.\nAnswer: -80, -4, 4, 340","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6046 or 6040?\nAnswer: 6046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 15. Let h = 3.999983 + p. Round h to six dps.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1204 - -14.8796. Which is the closest to 1\/2? (a) 3\/5 (b) h (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 11 - 51. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 932271.5t in micrograms?\nAnswer: 932271500000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7261870, 14523738, 21785606?\n\"Answer: 7261868*z + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*o - 5*v, o - 5*v = 3*o - 9. Suppose -733 = -o*k - s + 1791, 4*s = 0. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 21 = 9*q, 5*b + 38958*q - 38963*q + 35 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -8, 4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 598\/1373 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 159, 495, 1045, 1809, 2787?\n\"Answer: 107*l**2 + 15*l + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006429 rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12004758*d - 12*d**2 + 12004758*d.\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -33320201?\nAnswer: 33320221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of -f**2\/2 - 7*f + 7. Differentiate h(u) with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vsvssvvssvsv. Give prob of picking 1 v and 2 s.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -823610, -3294441, -7412496, -13177781, -20590302?\n\"Answer: -o**3 - 823606*o**2 - 6*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 78.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x = 84*x + 63 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (-161 + -7 + 10) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10 - (2 + (5 - 3)). Let m(p) = -p**3 - 15*p**2 - 12*p + 31. Let s be m(w). Solve 3*k = 5*x, -4*x = s*k - 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 0 - -3 - (8 - 9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sovk when four letters picked without replacement from vkxskobovsoksko?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-25)*(735\/63)\/7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.101188112 plus -1?\nAnswer: -1.101188112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*v = 26, 3*z + 0*v = 4*v - 56. Find the common denominator of 1488\/1134*12\/z and -30\/49.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/(f\/f**(4\/9)*f)*f**4\/((f\/(f**6*f)*f*f)\/f) assuming f is positive.\nAnswer: f**(148\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**5\/8 - b**4\/12 - b**3 - 6. Let t(d) be the third derivative of k(d). What is the first derivative of t(s) wrt s?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.089 times -0.3?\nAnswer: 0.0267","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -12. Suppose -r*t + 3*t = -485. Calculate the remainder when t is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, f: 3, j: 4, q: 1, h: 2}. Give prob of picking 1 q and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26432 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 53 = 4*m - 45, -5*v = 30 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 - 142*x\/5 - 1168\/5.\nAnswer: (x - 292)*(x + 8)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2056704 equal to 2056705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 3*v + 10. Let g be t(5). Suppose 5*x + 3 + 2 = 0, g = 2*i + x - 41. Suppose i*h = 22*h - 10. Solve 3*a = a - h for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, w: 4, f: 2, b: 1}. Give prob of picking 2 f and 1 w.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*i + 1 = 0, 4*i = 5*a - 0*i - 5 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2. Let a(r) = -5*r - 15. Let y be a(-4). Let b(n) = 6*n + y*n - n - 6*n. Determine m(b(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -16. Suppose 0 = -2*b - 1 - c. Is -2 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*f + 7 = 3, -5*z - 3*f + 6 = 0. Suppose -5*c - d + z = 2, -2*d + 6 = 0. Let v = -14 + 11. What is the third biggest value in c, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 0*s**3 - 7*s**2 + 6*s**3 + 13*s**2 - 4*s**2 in the form u*s**2 + l*s**3 + b + j*s and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832778 divided by -6409?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*j + 10*j - 7*j)*(-2 - 5 + 2 + (0 + 2 - 4)*(-2 + 4 + 0) - 2 + 5 - 4 - 2 - 2 + 3 + 1 - 1 + 1).\nAnswer: -160*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.08999971 - 0.09. What is j rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 1) + (-1 - -1) - -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3111 - -35.0689. Round m to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 10. Let v be n(-9). Let i = 3 - v. List the prime factors of ((-2)\/(-1))\/(i\/26).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3671575248?\nAnswer: 2, 3, 11, 401, 17341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -10*w**2 + 12*w + 4. Let x(z) = 9*z**2 - 11*z - 3. Let c(p) = -3*o(p) - 4*x(p). Find the second derivative of c(i) wrt i.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -2010\nAnswer: -2010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -530342 and 0.85651279?\nAnswer: 530342.85651279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 98 + -96. Let j(h) = 12*h - w + 3*h**2 - 7*h - 7*h. Let p(i) = -11*i**2 + 9*i + 8. Give 9*j(k) + 2*p(k).\nAnswer: 5*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-207984)\/1764 + ((-204)\/63)\/34.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/4 - 1371*i**4\/4 + 1397*i**3\/4 + 34263*i**2\/4 - 12706*i - 20580 = 0.\nAnswer: -1372, -5, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -765*k**3 - 2089*k**3 + 612*k**3.\nAnswer: -2242*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(4\/3)*g)\/g**(-15\/7)*(g*g*g\/(g\/(g*g\/(g\/(g**5*g*g))*g)))\/g**(-4\/15))**20 assuming g is positive.\nAnswer: g**(2344\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 19.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -23, 1\/4, 0.3, 1\/3, -0.3, -4, 124?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 + i + 5. Let l be z(-4). Let g(q) = 0*q**2 - 1 + 2*q + 3*q**3 - 2*q**2 + 0*q**2. Let m be g(l). Solve 2*v - m = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g = 5*q - 30023 + 30087, 2*q = -g - 38 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -26381626.3 to the nearest 1000000.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 310.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 20. Suppose -4*d = 4*a - 24, -4*a = -q*d + 32 + 34. What is the units digit of (-5 + 40)*8\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d + -174dd?\nAnswer: -174eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5 + 0 - 301\/63. Let n = -1\/13 + 67\/26. Let v = -11\/4 - -13\/4. Which is the biggest value? (a) g (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8911 is divided by 387?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -232\/6255?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*r + 119*r - 1300 + 272*r + 1300.\nAnswer: 310*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 - 15*d + 57. Let a be k(6). Suppose 7*r = 4*c + a*r - 12, -3*r = -2*c + 7. Solve 2*y + 5 = -p, 0 = 3*y + c*y + 5*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11999 from -0.12.\nAnswer: -11999.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1704*a**2 - 220*a**2 + 1563*a**2.\nAnswer: 3047*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*i + i = 0. Suppose i = -5*l + f + 2 + 2, f + 1 = 2*l. Solve 5*d = -s - 10, s + l = 2*d - 4*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 4*b + 4*l, -4*b + 0*l - l = 71. Let x = b - -12. Put x, -1, 0 in increasing order.\nAnswer: x, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 11) to base 2.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-10 - (-20 - 8 - -9) - (21 - 1))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + t**2 - t - 1. Let p be 1 + (-1 - -2)*-1. Suppose m - 32 = -4*u, -3*m + 5*u + 28 = -p*u. What is the least common multiple of z(-1) and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 149 = -5*v. Suppose -d = -2*r + 2*d + 68, -r + 2*d + v = 0. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:41 AM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 33890230.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = -2*w - 15, 14879*w - 14887*w - 54 = 2*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -172602*c + 273620 wrt c.\nAnswer: -172602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4 + -1*sqrt(75))**2 - (-2 + (sqrt(3) + sqrt(3) + 1*sqrt(3))*6 + 3)**2)*-6.\nAnswer: 1176*sqrt(3) + 3654","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (6 - 7) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5c + 3?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4522416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 6 + (10 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63.05 + -63.35. Which is the biggest value? (a) 4 (b) 6 (c) -10 (d) x (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 3*s**4 + 3*s**2 - 30*s - 13852. Let f(m) = -m**4 - 5*m. Let j(w) = 2*f(w) + q(w). Find the first derivative of j(p) wrt p.\nAnswer: 4*p**3 + 6*p - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 - 5*l + 4. Let s be b(0). Solve -s*p = 19 + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + -19. What is the biggest value in d, 0, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*b - 9 = -161*b + 117 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 196 - 189. Solve -10 = -d*m + 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + 3*o - o)*((o + 2*o - 5*o)*(5*o - 4 - 1 + 4) - o**2 + 3*o**2 - o**2) as z*o + b*o**2 + f + t*o**3 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/5 (b) 5.7 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 69 = o, -2*o + 3*p - 4*p = -160. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2931, -4397, -6841, -10263?\nAnswer: -14663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45\/(-12) + 3\/(-12). Let j be 1\/2*(h + 4). Solve -3*t + j = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -60. Let q = f + -9. Solve -3*u - q = 2*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 454923*m**4 + 273*m**3 + 146319912*m wrt m.\nAnswer: 5459076*m**2 + 1638*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 700 by 175.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 1 = -3*r + 2*g, 5*r = -5*g - 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 + 18. Let l(k) = k**2 + k + 1. Let g(j) = -h(j) - 6*l(j). Let w be g(10). Calculate the greatest common factor of w and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + a1?\nAnswer: 9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -576 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60133234223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5497 + -5461. Let z(b) = 2*b + 1. Let h(x) = -4*x - 2. Let f(t) = 6*h(t) + 11*z(t). Let w be f(-5). Calculate the greatest common factor of w and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 7*q - q - 8*q. Let l(b) = -9*b + 13. Let p(g) = -4*g + 6. Let u = 26 + -13. Let v(t) = u*p(t) - 6*l(t). What is x(v(y))?\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24070\/348*(-132)\/440)\/(((-2)\/(-8))\/1).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 706 - 704. Sort 0.05, l, 1, 0.4 in decreasing order.\nAnswer: l, 1, 0.4, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0 + 27 = 0. Let n = 12 + 33. Calculate the greatest common factor of n and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 13*o**2 - 23*o + 5. Let g be q(-11). Suppose g + 8 = 2*k. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 + -13. Let y be (1 + 2 - 4)*s. Let m = 25 - 23. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -136, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2. Let z(b) = -4*b**2 + 8*b - 6. Let v(d) = -2*j(d) - z(d). Factor v(a).\nAnswer: 2*(a - 3)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -14. Which is the second biggest value? (a) 1\/3 (b) 4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 831\/7 + -119. Let r = -10.9 - -11. Let z = -0.01 - 3.99. Which is the nearest to r? (a) 8 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 173229\/14183713 - -6\/19727. Let s = 66741\/10066 + t. Calculate the common denominator of 99\/2 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.078 - 0.122. Which is the nearest to 2\/7? (a) t (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*m**4 - 1 + 82*m - 76*m - m**2 - m**3 - 4*m**4 in the form o*m**2 + f*m**3 + t + q*m + i*m**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -31*b - 351. Let l(m) = -67*m - 703. Determine -6*l(z) + 13*o(z).\nAnswer: -z - 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87323 - 71466 = -97*i. Solve 0 = 1639*x - i*x + 16 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 4. Let l(p) be the first derivative of 5*p**2\/2 - 12*p + 131. Calculate 4*l(r) - 11*s(r).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -415924, -415929, -415938, -415951, -415968?\n\"Answer: -2*g**2 + g - 415923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:09 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4219?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, p: 4, u: 2, y: 5}. What is prob of sequence uy?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h*s**2 - 15*h*s + 221224894*h - 73544*s**2 + 2*s wrt s?\nAnswer: 6*h*s - 15*h - 147088*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 4 + (0 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347*u**5 - 2545*u wrt u?\nAnswer: 6940*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l + 11. Let y be ((-7)\/(-3))\/((-1)\/(-6)). Let u = y - 5. Is k(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eighteen fifths of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -8. Let q = -10 - i. Let h = -52 - -209\/4. What is the closest to 0.2 in q, h, 3\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 11. Let k be (-33)\/i + (-2)\/(-6). Suppose -24 + 136 = k*n. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.5128204 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(10) - sqrt(10)*-2) + sqrt(10))*2)\/((sqrt(210)\/sqrt(7))\/sqrt(6)).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64\/3077 + 511799\/4043178. Calculate the common denominator of i and ((-11)\/198)\/((-1)\/(-31)).\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3576*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0*l - 712*l**2 + 0*l - 3*l.\nAnswer: -712*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 143.\nAnswer: -3\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 5*n + 6)*(10 + 1 - 5)*(197 + n**2 - 197)*(n**2 - 7*n**2 + 4*n**2).\nAnswer: -60*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 12. Let g be (18\/(-15))\/(((-27)\/720)\/1). Calculate the smallest common multiple of 204\/g + n\/(-32) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4515137, -4, -3 in decreasing order.\nAnswer: -3, -4, -4515137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -133, 4.\nAnswer: -133, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10818)\/(-54090) + (2 - (-246)\/(-5))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13128, 26272, 39416, 52560, 65704?\nAnswer: 78848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2 - 0. Let z(s) = -14*s**3 + 2*s**2 + s. What is z(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 s when two letters picked without replacement from {s: 7, w: 2}?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/430 + -2527\/22790. Let h = -1112\/477 + x. What is the biggest value in h, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -487.9 - -458. Let z = v - -30. Which is the nearest to z? (a) -5 (b) 1 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.575.\nAnswer: 0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 31 = -0*b - 4*q, -q = -4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 4*h - 4*h + (-4*h - 2*h + 5*h)*(0 + 0 - 2) - 13 - 7*h - 3 + 9.\nAnswer: -6*h - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 45413.0053 + -45391. Let z = -22 + i. What is z rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1635634 by 116831.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 - 2*z**2)*(-z + z - z) + 2*z**3 - 2*z**3 + 2*z**3 - 3*z**3 + 5*z**3 + z**3.\nAnswer: 7*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v - 4 = -12*v. Suppose -o + 4*a + v = 0, 0 = 3*o + 4*a - 5 - 33. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.1 - 0.6. What is the third smallest value in -4, -0.1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/45)\/(4\/10)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (-1*sqrt(1300) + sqrt(1300) - sqrt(1300)) + 4).\nAnswer: -30*sqrt(13) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((-2559)\/(-1275) - 2). What are the prime factors of 10\/15*(4 + m)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c*w + 156959670*c + 226957657*w wrt w.\nAnswer: 2*c + 226957657","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 141, 5, -4 in decreasing order.\nAnswer: 141, 5, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p. Let n(w) = -2*w**2 + 7*w - 2. Determine 4*a(c) - n(c).\nAnswer: 2*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-b**2 + b**2 + 2*b**2)*(b - 3*b + 3*b) + 5*b**3 + 17*b**3 - 3*b**3)*(0*b + 0*b - 6*b) as i*b**2 + f + x*b**4 + h*b**3 + y*b and give x.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmwn when four letters picked without replacement from hnwmnwknmnw.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.19 (b) 0.6 (c) 0.5 (d) -0.4 (e) 7\/8 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rz when two letters picked without replacement from {r: 2, m: 3, b: 1, z: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.5 - -2.1. Let d = z - 0.95. Let l = d + 0.01. Round l to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/5 + 3281*o**3\/5 + 2689597*o**2\/5 - 539889*o - 5385762\/5 = 0.\nAnswer: -1641, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*-4*sqrt(13)*-2)**2 + 0.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002299463258 rounded to 5 decimal places?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1276 + 1286. What is the remainder when 1136 is divided by j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 104\/(-30) + 5*1. Let s = 37\/30 - p. Sort -5, -0.1, s, 0.5 in increasing order.\nAnswer: -5, s, -0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.854979 * -2.\nAnswer: 3.709958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 352 - -5?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*p - p = -13, u + 9 = -5*p. Let t = -9 - u. Suppose -t*d + 2 = -33. Is d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/756 and 11\/18.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (1 - 2)) + (-313 - -306)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -27. Which is greater: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21714 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 5. Calculate x(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10696280 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 10*x + 11. Let s = 3512 - 3507. Determine q(s).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 15*w**2 + 24*w. Let x(s) = -s**2. Let m(i) = b(i) + 12*x(i). Determine y so that m(y) = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 293 - -22099. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 13 - 12 = 0. Let z(p) = p**2 - 6*p + 8. Let x be z(6). Let n = 2 + x. Solve f = -3*k - 14, -3*k + 4*k = y*f - n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 7:08 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1484537575 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9 - 11 + 8 - 84*w - w**2 + 103*w. Does 12 divide f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**5\/3 - 142*p**4\/3 + 46*p**3 + 142*p**2\/3 - 140*p\/3 = 0.\nAnswer: -1, 0, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 1 (c) -0.14 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 10*o**2 + 11*o - 13. What is the units digit of p(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4 and -91\/135.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 55*o**2. Let z(x) be the second derivative of 157*x**2 - 79*x**2 - 78*x**2 - 3*x**3 + 4*x**3 - 82*x. Give y(z(u)).\nAnswer: 1980*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 190624 or 762495\/4?\nAnswer: 762495\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -0.4, 0.4, -2 in increasing order.\nAnswer: -5, -2, -0.4, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -13 + (5 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, o: 2, n: 1, r: 1}. What is prob of picking 1 r and 1 o?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 199 - 269*a - 676 + 148 wrt a.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**4 - 4*f**4 + 6*f**4)*(-7*f + 5*f + 4*f).\nAnswer: -6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18345 or -18346?\nAnswer: -18345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**5 - 42311*r**4\/2 + 47609*r**3 - 10580*r**2 = 0.\nAnswer: -10580, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253 is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, 10 in descending order.\nAnswer: 10, 5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2419*t + 664050 = -2651*t - 933*t - 987*t for t.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 157.6 - -34.4. Let h = -444948.9917 + 444757. Let p = v + h. What is p rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22714 + -22714.081784. Round d to four decimal places.\nAnswer: -0.0818","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14192222.\nAnswer: 2, 11, 73, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -27*l**8\/28 - 43*l**4\/6 - 43*l. What is the third derivative of o(v) wrt v?\nAnswer: -6480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*8\/(-8))\/(6*2\/(-696))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -449312 or -448699?\nAnswer: -449312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9016, -8901, -8724, -8485, -8184?\nAnswer: -7821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -334 - -604. Let s = 275 - q. Suppose -c - 2*c = -45. Calculate the remainder when c is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000282 to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14042318 is divided by 764.\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = r - 4 - 5, -93010*r + 93011*r - 13 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 52657080 and 60179520.\nAnswer: 421256640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*w = 97 + 14. Put -3, w, 9 in decreasing order.\nAnswer: 9, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 17008, 17002, 16992, 16978, 16960, 16938?\n\"Answer: -2*d**2 + 17010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 2*w. Suppose 4*t - 6 = t. Let x(l) = 3*l + 5*l**2 - 3*l**t + 0*l. Suppose m = 3*m + 8. Give m*x(r) - 7*p(r).\nAnswer: -r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -24*n - 168. Let v be p(-7). Let s(r) be the first derivative of 1 + 4\/5*r**5 + 0*r**3 + 0*r**4 - 2*r + v*r**2. Differentiate s(t) wrt t.\nAnswer: 16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*(3 + (-10)\/4). Suppose y = -3*s - 0 + 9. Suppose -32 = -5*v + s. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2239 + 2311 + 14*a**2 + 19*a**2 to b*a**2 + q*a + z and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 + 10*x**2 + 8*x - 12. Give h(11).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -2131012?\nAnswer: -2131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*r = -5. Suppose -2*g = -r - 3, -3*c - 5*g = -22. Solve 9 = 5*m + d - 6, 40 = 5*m - c*d for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/3 + 2*c**2. Let a(v) be the second derivative of v**3\/6 + 100*v + 3. Calculate q(a(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*x - 16*x. Let t = 700\/117 + -46\/13. Which is greater: x or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2401481 to the power of 1\/2, to the nearest integer?\nAnswer: 1550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*r - 241 - 11*r - 172 + 50*r to x*r + y and give y.\nAnswer: -413","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.664 + 0.336. Let x = -13.3404 + -6.666. Let h = s + x. What is h rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -169 + 347\/2. Let i be (-3 - (-20)\/6)*4\/2. Is i greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - 15) + 3 - 12. Which is the closest to w? (a) -1\/4 (b) 3 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 44. Let o = -10 + q. List the prime factors of o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16*696\/480)\/(10\/25))\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -73409?\nAnswer: -73407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/((-99)\/(-18))*(-2100)\/600?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**4 + 0*i**4 + 0*i**4)*(-295 + 98 - 659).\nAnswer: -856*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*(-2 + sqrt(1008))**2 - sqrt(1008)) + (3*-1*sqrt(1008))**2 + -1*sqrt(1008)*2)*-5.\nAnswer: -106080 + 3240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16, 36, 114, 212, 324, 444, 566?\n\"Answer: -x**3 + 19*x**2 + 2*x - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*p**3 - 94986*p**2 - 12*p - 260642945 with respect to p.\nAnswer: 48*p**2 - 189972*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 4*f**2 + 5*f. Let g be y(5). Suppose 4*m - 8 - 8 = g. Solve -m*u + 4*o = 0, -3*o + 0*o = u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-8)\/3)*-4. Let x(d) = -9*d + 142. Let o be x(12). Let z be -12*(g + o\/(-8)). Solve -4*r - 26 + 6 = 2*q, -4*q - z = 3*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 2. What is the second biggest value in o, 3, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1401557907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17*-52.11127\nAnswer: -885.89159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97684510 and 8470?\nAnswer: 97684510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7717954?\nAnswer: 2, 313, 12329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -6*k - 2280. Find the common denominator of -31\/5 and k\/561*(-1)\/2.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 114.8 + -147. Let z = 34.2 + k. Which is the third smallest value? (a) 0.1 (b) 5\/18 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.7, -33.2, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41732149391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17565 is divided by 8004.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/14 - 86\/(-7). Let n = r - 3. Which is bigger: 8 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, u: 3}. Give prob of picking 3 u.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)\/v*v*v*v*v**(-3) assuming v is positive.\nAnswer: v**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42444 and 7452?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 30 - 30 - 7*d**3 - d wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**3\/6 + 4*u. Let d(a) = a**3 - 7*a - 2. Let i(g) = g**3 - 7*g - 2. Let t(o) = -2*d(o) + 3*i(o). What is -5*r(q) + t(q)?\nAnswer: q**3 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -4c7a?\nAnswer: -4c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 84 = 76. What is the greatest common factor of b and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -18, 4 in increasing order.\nAnswer: -18, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -61a93?\nAnswer: 61a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -76877, -153757, -230637, -307517, -384397, -461277?\n\"Answer: -76880*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 5:06 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/13547 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Let f(m) = m. Let x(q) = -2*f(q) - 2*v(q). List the prime factors of x(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34332 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 4*r)*(-4 + 52 - 94)*(-3 - 1 + 9).\nAnswer: -920*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 + 61*s**2 - s - 3. Let v(c) = -c**3 - 121*c**2 + 2*c + 7. Give 5*n(o) + 3*v(o).\nAnswer: 2*o**3 - 58*o**2 + o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 4:55 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*k**2 + 3*k**2 + 2*k**2 + (0*k - 4*k + 3*k)*(21*k + 12*k - 9*k).\nAnswer: -23*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -4) + (21 - (16 + -4))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(567) + sqrt(567) + 2*(sqrt(567) + -1*sqrt(567)) + sqrt(567) - 5*(sqrt(567) + 0))**2.\nAnswer: 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1008) + 0 + (sqrt(1008) - (sqrt(1008) - (sqrt(1008) + sqrt(1008) + -5 + sqrt(1008)*-1)) - sqrt(1008)))**2.\nAnswer: -144*sqrt(7) + 1044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*r**4 + 4*r - 2*r**2 + 17*r**3 + 11*r**4 + 29*r**3 - 56*r**3 to the form m*r**2 + v*r**3 + d*r**4 + b + a*r and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 - 11 - 3*1. Let a = l - -15. Is (-75)\/10*(-44)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, s: 2, o: 2, m: 4, x: 2, y: 2}. What is prob of picking 1 y and 1 x?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 1)*(4*p**2 - p**2 - 6*p**2) + (-13444 + 8*p - 6*p + 14646)*(2 - 2 - 2*p) to the form u + t*p**2 + g*p and give g.\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c. Let k = -2 - -8. Let h(l) = -7*l. Let i(g) = g. Let t(x) = k*i(x) + h(x). What is t(q(j))?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2653943?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -33*p + 889. Determine a(27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 3\/13 (b) -3 (c) 25 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.074 (b) 2\/21 (c) 0 (d) 2\/3 (e) 2 (f) -0.514\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -872 = -428*c - 1868 + 5704 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12*m - 10 + 6 - 22)*(m**2 - 3*m**2 + m**2) in the form i*m**2 + p*m**3 + w*m + b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, c: 1, s: 3, x: 2, r: 1, h: 3}. Give prob of sequence rw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 270133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 413, 613, 811, 1007, 1201, 1393?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -49 - (21 - (34 + -15) - 20)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -728, -733, -738?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 2*t - 7. Let d be x(-5). Suppose 2 = -w, -5*u - 3*w + 1 + 8 = 0. Suppose -4 = -u*y + d. Solve y*b + 12 = b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p = 53*p - 6*p - 739498. List the prime factors of p.\nAnswer: 7867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -2*f - 30. Let r = -63 - f. Suppose -3*a = r*a - 308. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, l: 7, b: 4}. What is prob of picking 1 c and 2 l?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2252 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7 + 0.64. Let k = r - 0.34. Let j = k - 4.6. What is the biggest value in j, 0.5, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, o: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(210)\/(sqrt(7)*1))\/(sqrt(12)\/sqrt(2)*5) - (sqrt(160)*-1 + sqrt(160) + sqrt(160))\/(sqrt(64)\/sqrt(128) - sqrt(8)))*3.\nAnswer: 43*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -41267046, -41267042, -41267038, -41267034, -41267030, -41267026?\n\"Answer: 4*a - 41267050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -33*o + 113. Determine y(-5).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 80053 (base 9) to base 6\nAnswer: 1043120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 62*p**3 - 13*p**2 - 28*p - 140. Let g(t) = 42*t**3 - 9*t**2 - 20*t - 93. Determine 7*g(l) - 5*k(l).\nAnswer: -16*l**3 + 2*l**2 + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 330323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - -157. What is the remainder when 280 is divided by z?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -31. Let p(v) = 44*v**2 + v + 1. Let h be p(w). Suppose -4*o = -439 + h. Does 18 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, -7, -103, -289, -595, -1051?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 10*l + 5. What are the prime factors of g(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 154871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*d + 86, 5*d = 2*s + 3*s + 70. Let v = 21 + s. Solve -q**3 + v - 4 - 1 - 3*q**2 + 2 - 3*q = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 445*w**2 + 1771*w + 9. Determine j(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 638.1 + 0.5\nAnswer: 638.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 11:36 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x + 2*p + 28, -3*x + 20 = -p. Let r be (-6)\/4*(-8)\/x. Let a(z) = z**3 + 12*z**2 - 14*z - 10. Let g be a(-13). Is g smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*m + 7*m + 51. Solve m*i - 2*i = 0, -3*y + 5*i = -3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, -2, 2 in increasing order.\nAnswer: -118, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/28 + 2\/7. Let q = 4 - i. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(5\/3)*m)*m**(1\/5)\/m)\/(m**(-2\/5)*m\/(m**(1\/6)*m*m)))\/((m**(-1\/4))**(-3\/10)\/(m**(-6)\/m*m*m*m**(-3\/2))) assuming m is positive.\nAnswer: m**(-259\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 24*q + 37. Is o(-12) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 718099 is divided by 13298.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -633416 by 11.\nAnswer: -633416\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:27 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 - 102*j + 5202.\nAnswer: (j - 102)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (17 - 24)) + (0 - 3).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 79044, 158093, 237142, 316191, 395240, 474289?\n\"Answer: 79049*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 2 + 5 + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d + 16 = -70*d. Solve -d*r = -5*r - 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -0.4, -0.71, 11?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -0.007768775.\nAnswer: 14.992231225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1582*d - 1472*d + 1815*d.\nAnswer: -1239*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (-3)\/(9\/(-30)). Let l = b + 12. Suppose l*z - 3*k + 2950009 = 0, -3*k + 1478247 - 4428238 = 5*z. Round z to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 1\/4, -3, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8149 - -8145. Let p = v - 8301. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 11*p + 30. What is the third smallest value in 1\/4, -3\/4, -6\/7, p?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-1)\/(-10)) - 2. Let s(r) = -r**3 + 9*r**2 - 7*r - 6. Let y be s(b). What is the units digit of ((-2)\/(-3))\/(y\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - b + 1)*(-2*b + 4*b - 4*b) + (-1490*b + b**2 + 1386*b - 2*b**2)*(-4 + 5 - 4).\nAnswer: 5*b**2 + 312*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2049333*r**5 - 16*r**4 + r**2 + 3271239 wrt r?\nAnswer: 122959980*r**2 - 384*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/29 less than or equal to 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (0 - (-1)\/(-3)). Let i be -3*(3 + -4) + 0. Which is the smallest value? (a) -3\/5 (b) i (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -55849, -112450, -169055, -225664, -282277?\n\"Answer: -2*r**2 - 56595*r + 748","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 9:12 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 = -4. Is y less than or equal to 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 8:42 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 1\/55*d**6 + 13*d - 18\/11*d**2 - 17\/110*d**5 + 7\/11*d**3 + 0 + 19\/66*d**4. Solve s(y) = 0 for y.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17*(-272)\/(-2890) + -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 12*w**2 - 9*w - 3. Suppose -26 = 2*h + 4*p, p = 6*h - 5*h + 10. What are the prime factors of l(h)?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 22254*b**3 - 41431464*b**2 - 28514749422*b + 100562997502635.\nAnswer: -3*(b - 2921)**3*(b + 1345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -267, -561, -863, -1179, -1515, -1877?\nAnswer: -2271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-1 + 23)*1. Suppose -5*y - 139 = -5*m - z, 0 = 3*m - 5*y - 65. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -8*o**2 - 3*o + 4. Calculate g(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8330361 rounded to three decimal places?\nAnswer: 0.833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1421*u = -15409 + 52355 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386888426 divided by 2.\nAnswer: 193444213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 10 = -11*n. Let c be (-2)\/(-4)*(-2 - n). Let m be (-2501 + 1)\/(c\/13120). What is m rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -130.7958? (a) 4 (b) 8 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-13)*s**(-1)\/s assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 19323760*r - 18670385026880.\nAnswer: -5*(r - 1932376)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/220 and -49\/585.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0)*(b**2 + 3*b**2 - 2*b**2) + b**3 + 5*b**3 + 14*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 75*n**8\/14 - 635*n**4\/8 + 256*n**2 + 1. What is the second derivative of l(a) wrt a?\nAnswer: 36000*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 63876.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4899 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z**3 + 100*z**3 - 138*z**3 + 178 + 36 - 22.\nAnswer: 2*z**3 + 192","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 74151789 a multiple of 1775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.36551 nanograms in tonnes?\nAnswer: 0.00000000000007536551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/16, -7, -1, 7\/2, -35, -0.5?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"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: In base 9, what is -1433 - -1?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -2*f**3\/3 + 3*f**2\/2 + 2*f. Let h be d(4). Let q = -4 - h. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.76 and -0.03.\nAnswer: 0.0228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 24*r**2 - 9 + 4 to j*r + c*r**2 + l and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 115, 227, 339, 451, 563?\n\"Answer: 112*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*4\/(-11)*99\/(-54).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -13*q + 5876 - 5876. Let f(o) = -o**3 - 7*o**2 - o - 5. Let n be f(-7). Let z(m) = 34*m**2 - 67*m**n + 34*m**2. Calculate s(z(y)).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1325495.\nAnswer: -1\/265099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-2*(-3)\/6). Suppose -3*w - 22 = -2*m + 3, 15 = -5*w. Solve 8 = -4*j + i*d, -4*j - 4*d = -m*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/13, -0.05, -3, 1\/5, -133\/8?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -6*((3 + sqrt(18) + -5 + sqrt(10)\/sqrt(5))**2 - (4 + 5*(sqrt(2) + (sqrt(8)\/sqrt(4) - sqrt(2)))**2)).\nAnswer: -136 + 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 410*t**2 - 2506*t - 229. Give d(5).\nAnswer: -2509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 1 (c) -12 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 16849.87162 rounded to the nearest ten?\nAnswer: 16850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 93 = -3*n + 2*q, -93 = -3*n - 4*q. Suppose -3*o - 86 = 5*d, d - 2*o + 4 = -7*o. Let y = n + d. Calculate the greatest common divisor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-10.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -20\/37443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 177 - 138 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/7 + 174*c\/7 + 176\/7 = 0. Calculate c.\nAnswer: -1, 88","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of n**6\/120 + 4*n**5\/15 + 7*n**4\/12 - 7*n**3\/6 + 47*n**2. Let l = -23 + 8. What is the units digit of k(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17681254 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: List the prime factors of 2172941.\nAnswer: 29, 74929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -7 + 10 + -2 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3015558*r**3 + 256*r**2 - 85*r - 5?\nAnswer: 18093348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*(-60)\/(-250) + (4\/10)\/(4\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 320 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6398, 12010, 17620, 23222, 28810, 34378, 39920?\nAnswer: 45430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (548 + 205*a - 548 + (-3 + 2 + 3)*(-a + a + 3*a))*(-3*a**2 + 3*a**2 - 2*a**2).\nAnswer: -422*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.1, 4, 18.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 95 + 46 - 2*u**3 + 33*u**4 + 3*u - u**2 - 30*u**4 as z + j*u**3 + p*u**2 + l*u**4 + x*u and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r - 5. Let x be g(-1). Does 28 divide 7\/7 - (x + -26)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-7)*(-20062)\/(-8598).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146 in -4, 0.1, -2\/13, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (28\/6*-2)\/(12\/(-90)). Let n(i) = 71 - q + i**2 + i + 0*i**2. Let z(g) = -2*g - 2. Determine 4*n(y) + 2*z(y).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -131\/9 - -83\/6. What is the common denominator of i and -119\/300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374915 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 4*u = 3*h + 7, 0 = -2*h - 10. Calculate the common denominator of 28\/3 and u\/(-10) - (-59)\/55.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + l**2 - 5*l - 16. Determine u(3).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 5 - 5)*(-2*d**3 + d**3 + 0*d**3) + (d + 14*d**3 - 2*d**3 + d**3)*(0 - d + 0) to the form m*d**3 + v*d**4 + f*d**2 + g + z*d and give v.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1561.56397 rounded to the nearest 10?\nAnswer: -1560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310.\nAnswer: 2, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30356 - -218778. Find the second derivative of 188422 + 81*t + 41*t**2 - n wrt t.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91986883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*i + 4867*i**2 + 2 + 0*i + 5132*i**2 - 1380*i**2 wrt i?\nAnswer: 17238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1603*d*q*w**3 + 18*d*q*w*y + 6*d*w**2*y**3 - 10*q*w**3*y**3 + 34*q*w**2*y**3 + w**2 wrt w?\nAnswer: 9618*d*q - 60*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.25, -1, -2\/21?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-160)\/((-609280)\/(-1071)))\/(84\/(-16)*-1)?\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(284\/144 + 152\/(-684))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 36*r**2 - 284*r - 57. Calculate x(24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(1 - 5 - 8*n + 2).\nAnswer: -8*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 v when two letters picked without replacement from {v: 2, c: 2, x: 1, f: 1, y: 1, e: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11718635\/11 or 1065330?\nAnswer: 1065330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v + 36. Does 12 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - 62822571?\nAnswer: -62822556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26, -41, -50, -53, -50, -41, -26?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*b - 8, 3*t + 16 = 4*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d**3\/5 + 368*d**2\/5 - 4792*d\/5 - 672 = 0. What is d?\nAnswer: -2\/3, 20, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + r**2 + 5. Suppose -4*d + 4*f = -56, -2*d + 3*f = 14 - 46. Suppose 0*y = -y + 2*u - d, -2*u + 10 = -5*y. What is the units digit of o(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 73\/4672*176\/(-11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-30)*t))\/t*t*t**29*t assuming t is positive.\nAnswer: t**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(6\/5)*s*s**(1\/6))\/(s*s*s**6*s*s*s**(-1\/8)) assuming s is positive.\nAnswer: s**(-1069\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from {d: 1, t: 1, j: 10, b: 5}?\nAnswer: 25\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 373, 1492, 3357, 5968, 9325?\nAnswer: 13428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 4*z**3 + 394*z**2 + 1169*z + 7. Calculate j(-3).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 11*g - 3. Let l be s(-6). Let q be (-2 + 0)*l\/(-6). Is 3 a factor of 2\/q - 136\/(-36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3061343, -3061340, -3061337, -3061334?\nAnswer: -3061331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4195*r**2 + 93*r - 24*r - 69*r to l*r + z*r**2 + j and give z.\nAnswer: 4195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6703669 and 3236254.\nAnswer: 93851366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - ((-33)\/(-21) + 0). Let f = -21 - -22. Let u = 4914 + -4916. What is the nearest to u in a, f, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/2*b - 87\/4 - 3\/4*b**2.\nAnswer: -3*(b - 29)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 5. What are the prime factors of (-33)\/h - (-9)\/(-15)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1453.93840016 - -1452.9384. Let b = -1 - z. What is b rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 12:59 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5256, -11004, -17674, -25728, -35628, -47836, -62814?\n\"Answer: -77*s**3 + s**2 - 5212*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2265507210 - -2.2.\nAnswer: -2265507207.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5.6. Let y be 32\/(-6)*(-561)\/(-44). Let z = -72 - y. What is the third smallest value in z, a, -7\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22.94754 and -0.4?\nAnswer: 9.179016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -11*l + 55, -398*l + 395*l = 3*r - 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/11? (a) 12 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -988, -1866, -2722, -3556, -4368, -5158?\nAnswer: -5926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**4 + 3*b**4 + 1 - 1 + b**2 - b + 2*b**3 to the form p*b**4 + o*b + m + a*b**2 + t*b**3 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from {e: 3, c: 17}.\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 18 = 2*a. Let o(c) = 3*c**2 - 276*c + 1359. Let x be o(5). What is the greatest common factor of a and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20315 + 3*u**2 + 2*u**3 + 2*u**4 + 20194 - 6*u + 4*u in the form g*u + y*u**4 + o + m*u**2 + d*u**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**3 - 6*c**2 - 5*c + 4. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a factor of 439103236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -60*b + 1063. Does 2 divide c(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/8*-2*-8. Suppose -3*x - 11 = -b. Let a = 6 + x. Solve -7 = -a*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(950) + sqrt(950) + sqrt(950) + -1*sqrt(950) + sqrt(950))\/(sqrt(2)*1*4 + sqrt(2)).\nAnswer: 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 30 = -25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20*-0.41\nAnswer: -8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -7908 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 2)*1 - 33. Let h = 50 + d. Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53*-94250\nAnswer: -4995250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 3*d + 0*d)*(-66 - 12 + 39 - 3*d).\nAnswer: -9*d**2 - 117*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33104 + 66511. List the prime factors of m.\nAnswer: 11, 3037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16\/7 - (-18)\/(-63). Find the third derivative of 81*n**2 - 32*n**q + 25*n**6 + 70*n**6 wrt n.\nAnswer: 11400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 31696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 2*l - 1. Let y be w(-2). Let j be y*(-3)\/((-9)\/(-3)). What is the tens digit of (-3)\/j*0 - -16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6617\/15 - 441. Which is the second smallest value? (a) 54 (b) n (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/2 - 7*c**4\/2 + 17*c**3\/2 - 17*c**2\/2 + 3*c.\nAnswer: c*(c - 3)*(c - 2)*(c - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.8 - -32. Let h be (4\/(-12))\/((-33)\/54). Which is smaller: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525160?\nAnswer: 2, 5, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 204 = -l. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -1307*n**2 - 3*n - 1303*n**2 + 2611*n**2 - 7. Give o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.1 - 0.1. Let o = -120 - -125. Put l, o, -2\/11 in descending order.\nAnswer: o, l, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 9. Let n be ((-8)\/10)\/(20\/(-50)). Suppose n*g - 89 - 51 = d. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 57883068, 57883065, 57883062, 57883059?\n\"Answer: -3*t + 57883071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.26, -1\/4, -21, 4829, -1, 0 in ascending order.\nAnswer: -21, -1, -0.26, -1\/4, 0, 4829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2272952 and 11638?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(6\/5)*3. Let c(p) = 3*p**2 + 2*p + 4. Let b(d) = 2*d**2 + 2*d + 4. Give y*b(x) - 4*c(x).\nAnswer: -2*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71851?\nAnswer: 13, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10467 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: What is 546 minutes after 4:06 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114324 + 118985 = 59*j for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2691646128 by -3.\nAnswer: 897215376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 11*i**3 - 2*i**2 - i. Let p(c) = c + 24. Let z be p(-22). Suppose 0*k = z*k - 9*k. Let g(h) = 5*h - 1. Let w be g(k). Calculate s(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*m - 118124 = 0, -46*a = -48*a + m - 59062. Let q = -16872 - a. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 - -90. Suppose 5*c = -o + 10, -6*c + 74 = z*o - 3*c. Suppose 5*w = -o, 0 = -4*y - w - 2*w + 1504. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -7*p**4\/6 - p**3 - 11*p**2\/2 - p - 65. Let o(u) = 5*u**2 + 2*u + 4. Determine 6*l(v) + 17*o(v).\nAnswer: v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 618705.8nm in meters?\nAnswer: 0.0006187058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4080 and 209304.\nAnswer: 2093040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135 and -2060.\nAnswer: -278100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 120021202011 (base 3) to base 11\nAnswer: 196079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5*w = 160. Suppose -2*k - w = -4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11013 is divided by 81?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*o + 71*o - 144*o + 257*o**3.\nAnswer: 257*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 17200.\nAnswer: 51600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 11. Let i be o(7). Let h(x) = 1066 + x - 315 - i*x. Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*5\/(-50)*-4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-69740)\/(-528))\/((-15)\/(-24)) - (-2)\/3 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 317 + -2851\/9. Find q, given that 0 + o*q**2 + 4\/9*q = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 254491940 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 + 0.4. Let g = 2.4 + d. Let q = -0.4 + g. Which is smaller: -3\/2 or q?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 35902022441?\nAnswer: 35902022440.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of l**2 + 5*l + 5. Let a(h) = -h - 4*h - h - 9 + 2*h. What is -6*a(y) - 11*t(y)?\nAnswer: 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1080*h**2 + 1631*h**2 + 2413*h**2.\nAnswer: 5124*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5870.97 + -5809. Let j = 155 + -217. Let a = m + j. Put a, 2, 3, -1\/4 in decreasing order.\nAnswer: 3, 2, a, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 90 = 5*g. Solve 0*t**2 - 3634*t + 3618*t + g*t**2 - 2*t**4 + 8 + 4*t**3 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 56. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 d when two letters picked without replacement from pddpd.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -40686.36314 rounded to the nearest 1000?\nAnswer: -41000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924.68t in kilograms?\nAnswer: 3924680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4613762, -4613760, -4613758, -4613756?\nAnswer: -4613754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(1\/31)*o*o)\/o)\/o)\/o**(-21\/8))**(-4\/3) assuming o is positive.\nAnswer: o**(-659\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 13) in base 11?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/272453 - 9534682\/319587369. Let i = 2\/69 - y. Which is smaller: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130599?\nAnswer: 3, 7, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31487461*t**4 - 6*t**2 + 16*t + 11422?\nAnswer: 755699064*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + f = -2*i - 12, i - 2*f = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 627 * -12.\nAnswer: -7524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 147577748 to the nearest integer?\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12515 + 30?\nAnswer: -124e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/10 of a millisecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, 1.002821.\nAnswer: -22, 1.002821, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -26, 1, 1\/5, -43, 4.\nAnswer: -43, -26, -0.3, 1\/5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/21 - (-9)\/(-7). Suppose -3*n + 2*q + 24 = -2*q, 4*q = -n + 8. Let k be 18\/(-8) - 6*n\/(-24). Which is the third smallest value? (a) l (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 233848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13 + -15 - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 61*x - 486. Calculate v(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -7*m - 15, 9 = 3*h + 28310*m - 28306*m for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3344 is divided by 3232.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*u**4 - 592*u + 592*u - 2 + 2*u**4 + 2 + (0*u**4 + 6*u**4 - 4*u**4)*(0 + 1 - 3).\nAnswer: -15*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -366, -819, -1558, -2571, -3846, -5371?\n\"Answer: 2*b**3 - 155*b**2 - 2*b - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 3, 1, -0.1 in ascending order.\nAnswer: -7, -0.1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -15. Is z <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 234572663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -22*g**4 - 468*g**3 - 2766*g**2 - 5296*g - 1248 = 0?\nAnswer: -13, -4, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/80 + 4983*i**5\/20 + 8276763*i**4\/4 + 9165135562*i**3 + 8*i**2 + 2*i - 28. Factor w(h).\nAnswer: 3*(h + 3322)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 3:01 AM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 11:02 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.038 + -0.042. Which is the third biggest value? (a) -7 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**3\/l*l**0)\/(((l\/((l\/l**(-3))\/l*l))\/l)\/(l**(-4\/3)*l))*l**(-2\/5)*l**(-2\/9)*l**(-4)*l*l*l**(-1\/7) assuming l is positive.\nAnswer: l**(1229\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2873 is divided by 946.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 12.4. Let n = t + 2.59896. Round n to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ec (base 15) to base 16.\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-13 + (-15 - -28)) - (-37 - 0)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 5368?\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b**2 + b + 2. Let v be z(-3). Let h = v - 16. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2343 (base 5) to base 6.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -4\/7, 3, 190\/11, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/8 + 0)*0 + 1559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 33. Let r = 19 - k. What is the greatest common factor of r and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/4 and 50\/237?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18)\/(3\/3)*6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n**3 + 2*n**2 - 4*n + 9. Let u be v(2). Put -4, u, 6 in decreasing order.\nAnswer: 6, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)*1*-1)\/(sqrt(8) - sqrt(32)*1))\/(-1*sqrt(81) + (sqrt(9) + (sqrt(9)*-3 - sqrt(9)))*-6).\nAnswer: sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 25026?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/7 + 54*f\/7 + 99.\nAnswer: (f + 21)*(f + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -7183635?\nAnswer: 7183614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17311343440165 minus 1?\nAnswer: 17311343440164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/4 + 7*r**3\/3 + 2*r**2 - r - 18. Let f be c(8). Let a = 5 - f. What is the remainder when 111 is divided by a?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -132, 16\/13, 0.001, 0.4 in ascending order.\nAnswer: -132, 0.001, 0.2, 0.4, 16\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4155165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19 - (-20)\/(-30)*18\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:39 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - v + 2. Let u be a(0). Suppose 0 = -5*t - 2*f + 55, -u*t - 3*f = -25 + 3. Are 12 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173050360.\nAnswer: 2, 5, 7, 12613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 40*a = -9*a - 7*a. Solve 0*g - 77*g - 154 = a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tob when three letters picked without replacement from oobmmmootmmo?\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 8 - 2)*(-1 + 1 + c)*(1738*c + 1140*c - 1119*c) to the form w*c + k*c**2 + y and give k.\nAnswer: 14072","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113733307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76.17 - -59.17. What is the smallest value in m, 15, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 - 810*o - 78784\/3.\nAnswer: (o - 2462)*(o + 32)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-5 - -9) - 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.7 - -16.7. Which is the smallest value? (a) m (b) -0.3 (c) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -95\/58 - -22589\/13862. Is -1 at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13658951 is divided by 98265?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 0 + 4. What is the remainder when (-14)\/(-21) - -46*m\/(-6) is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 257383219.\nAnswer: 257383219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**3 - 2*g**2 + g. Suppose 3*v - 15 = 105. Let x = -29 + -10. Let c = v + x. What is b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*x*x\/((x\/(x**5\/x))\/x))\/((x*x**(1\/4))\/((x\/x**(-2\/31))\/x)) assuming x is positive.\nAnswer: x**(1341\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 19*s = 0. Suppose 3*n + 5*o - 1174 = -247, s = -4*n - 3*o + 1225. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 7 + (-17)\/(255\/96).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -70 + -13 + 32 + 2 + -6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2. Let i = 6 - 4. Let z be (2\/4)\/(i\/36). Let d(a) = z*a - 18*a - a**2 + 9*a. Determine c(d(p)).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 110347545 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4485 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1420 and 67\/284.\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 5 (c) 0.1 (d) 2\/11 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.02862 - -0.028. Round a to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 9, b: 5}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o. Let v(a) = -143*a. Give v(d(z)).\nAnswer: -143*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -193.\nAnswer: -28\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108*(7 - (1 + 5)) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 3*y - 115, -5*y - 172 - 201 = -3*d. What is the derivative of -d - 5*o**2 - 48 - 11*o + 13*o**2 - 4*o**2 wrt o?\nAnswer: 8*o - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + k + 28. Let f be (-1)\/k*14\/(-4). Sort f, -2, -0.5 in decreasing order.\nAnswer: f, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(-1 - j + 1)*(-1 - 2 + 1).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 354 + -474847?\nAnswer: -4744b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -56. List the prime factors of n.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 381 * -0.013.\nAnswer: -4.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 84805573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4 - 22*p**3 + 344*p**2 - 618*p + 297 = 0 for p.\nAnswer: -33, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 786248879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*f + 154*f = 445*f + 3175 for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/8 of a millennium?\nAnswer: 31500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2*(-70)\/35?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82635607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*p**2 + 3*p + 336 with respect to p.\nAnswer: 28*p + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/80 or 0?\nAnswer: -17\/80","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -14*j + 17*j. Suppose -3*n - 8 = 16. Let m = j - n. Solve -3*y = -y + s + 1, m*s = -2*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 < 103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*t - 3*l = -33, 38 = 3*t + 4*l. Let u(s) = -9 - 398*s + 97*s + 105*s + 102*s + 95*s. What is u(t)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7309, 7306, 7301, 7294, 7285, 7274?\nAnswer: 7261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60*((-80)\/(-24) - -2). What is the highest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51202 + -29099. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -47, -143, -363, -749, -1343, -2187?\nAnswer: -3323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0313691 rounded to three dps?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.237383 milligrams in kilograms?\nAnswer: 0.000002237383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 3*b - 302 = -293, -5*d = -5*b + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -5 - (-8 + 1\/1). Factor 3*z**4 - 90*z**2 + k*z**5 + z**5 + z**5 - 4*z**5 + 36*z + 74*z**3 - 25*z**4.\nAnswer: 2*z*(z - 6)*(z - 3)*(z - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 11 + 19 = 0. Let o(w) be the second derivative of -9*w - 1\/3*w**j + 0*w**2 + 0. Let p(h) = 8*h. What is p(o(c))?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 16 = -3*r - 5*h, -4*r - 4*h + 28 = 0. Suppose 0 - 15 = 5*w. Let j = w + r. Solve 2*z - z = -t - j, 0 = -z + 3*t - 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -0.0859 (c) 13\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145 + 93 = 11*j + 6*j for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 0*t**2 + 0*t**3 + 8*t + 0 + 1\/102*t**4. Suppose b(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/6*-1*(-4)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3838*r**2 + 592*r - 13552*r**4 - 3137*r**3 - 154*r**2 + 14797*r**3 - 34 + 2 + 5324*r**5 = 0. Calculate r.\nAnswer: 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*l + 9. Suppose -108 = 89*p + 1138. Put 2, l, p in ascending order.\nAnswer: p, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 12, 2*w - 844 + 182 = -5*h. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-238 + 34*m**2 + 238)*(-3 + 5 + 0).\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 364\/70 - (0 + 5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a week in minutes?\nAnswer: 28980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 0. Let i = l + -7. Suppose -3*w - 5*y + 30 = -19, -4*w = i*y - 47. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1044*f - 2113*f + 1003*f - 2970 = 0 for f.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 2*h - 132. List the prime factors of (-1)\/4 + h\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5078, -10141, -15188, -20219, -25234?\nAnswer: -30233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 247093867?\nAnswer: 43, 127, 45247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from zyzyqqqzytzyztqzzy.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2069\/7 + 295. Let k = 0.61 + 3.39. What is the second biggest value in k, -17, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**6*v**3 - 1516*k**4*v**3 + 22*k**2*v**3 - k**2*v + k*v**3 wrt k?\nAnswer: -240*k**3*v**3 - 36384*k*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.4, 2, -106, 0 in descending order.\nAnswer: 6, 2, 0.4, 0, -106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3, 2, -14, 1, 0.046, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -67 (c) 1\/8 (d) -102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2263 = -172*g - 2897 for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*k - 12 + 2 - 15*k to the form w + y*k and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*g + p, p = -5*g + 2 - 4. Suppose -2*k - 4*t + 110 = g, -2*k - 3*t - 165 = -6*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6615740*v - 600639?\nAnswer: 6615740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3645) - (-1*sqrt(3645)*5 - sqrt(3645)))*-3)\/(sqrt(9) + (sqrt(144)*-1 - sqrt(144)) - (sqrt(108)\/sqrt(2) - sqrt(54))\/sqrt(6)).\nAnswer: 27*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2)*n**4*n\/(n\/n**(-2\/7))*n*n**(-5) assuming n is positive.\nAnswer: n**(-16\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/2*(-22)\/(-8). Let b = -51 + n. Suppose -l = -3*l + 3*i + 244, -2*i = -b*l + 472. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d. Let v(a) be the second derivative of a**3\/3 + 4*a. Give m(v(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*w + 217 = 0, 0 = 4*n - 5*w - 126 - 786. What are the prime factors of n?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.610523 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -64.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 315550 is divided by 97.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98965, 110215, 128965, 155215, 188965?\n\"Answer: 3750*x**2 + 95215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9*80\/(-40)*((-1490)\/210 - -7)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5888 - 2579. Does 73 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/(-130)*(1 + (-6 - 0)). Solve -3*b = -4*o + 9, -b = -2*o + y + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -6. Suppose 7*o - 4 = -4. Suppose o = -2*r + 6*b - b - 23, -4*r - 32 = 4*b. Does r = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13555409 and 833.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**4 - 39*f**3 + 76*f**2 - 69*f + 17. Let m be 25\/(1 + -6) + 18\/3. Let u(q) = -2*q**3 + q**2 - q + 1. Let h(o) = m*l(o) - 5*u(o). Factor h(k).\nAnswer: (k - 3)*(k - 2)**2*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*b**3 - 35*b**3 + 15*b**3 - 7*b**3 + 28*b**3 + 3*b**3.\nAnswer: 22*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-1\/3))*k)**(-35)*(k\/(k*k\/(k\/k**(-2\/41)))*k*k)\/(k\/(k*k**(-2\/17)\/k*k)*k) assuming k is positive.\nAnswer: k**(-95633\/2091)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53772 + 90256. Is j a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237?\nAnswer: 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-23)\/(-69) - (-12160)\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7137430*s**2. Let d(v) = -v. Calculate u(d(y)).\nAnswer: 7137430*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -202 - -144. Let s = 56 + b. Sort s, 3, 1\/2, 1 in ascending order.\nAnswer: s, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -531267 + 57*a**2 - 475*a**2 + 531267 to the form w + p*a + o*a**2 and give o.\nAnswer: -418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2750323876 + -2750321727.016823. Let b = y + -1906.98337. Let k = -242 + b. Round k to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3274589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3281 - 3280.9999997258. Round s to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*p**2*x**3 - 2*p**2 + 2*x**3 - 130*x wrt p?\nAnswer: 346*p*x**3 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = d + 7 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 + f**3\/3 - 5*f**2. Let q be r(2). Solve -4*n - 4*i = i - 10, -2*n - 5*i + q = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2. Let q(r) be the second derivative of r**3\/3 + 103*r**2 + 708*r. Determine h(q(m)).\nAnswer: -8*m**2 - 1648*m - 84872","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a - 1. Let r(g) = 3*g - 3. What is r(x) + 5*z(x)?\nAnswer: -2*x - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1802 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/16 and -43\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - ((8 - 5) + -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -4*a - 3*i - 10, 4*a + 4*i + 8 = 0. Let p(s) = -s + 1. Let k(j) = -56*j + 16. Let m(b) = a*k(b) - 20*p(b). Let z(d) = 2*d. Determine m(z(v)).\nAnswer: -72*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k - 9. Let c(f) = -3*f - 4. Let u(s) = 9*c(s) - 4*d(s). Let m be u(-2). Let y(r) = 0 - 2 - r - 3*r - 3*r**2. Calculate y(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -23 and 281.86.\nAnswer: 258.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1609296502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 12, 2913 = 4*y - 3*l + 429. What is the highest common divisor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 71336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2650.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 16. Let m be t(0). Let h = -12 - -18. Let o be 4\/((-5)\/h + 1). What is the greatest common divisor of m and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1113 smaller than -38963\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 3, w: 4, x: 5, c: 5}. What is prob of sequence lw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-145)\/2610)\/(3\/24))\/(80\/12).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c, -5*f + 65 = -4*c. Suppose 0 = -3*b + 8 + 7, -2*b = k - f. Solve k*a + 11 = -4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**2 - 102*u**4 - 472*u + 237*u - 9 + 241*u wrt u.\nAnswer: -1224*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 12*c - 8. Let y be a(-9). Solve 2*x + z = -6, 5*z + y = x - 0*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583713 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 245 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 - 494112239.\nAnswer: -494112258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-5)\/120*3)\/(15\/(-600)*-5).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12471 + 0.33?\nAnswer: 12471.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*s**3 - 3*s**2 - 21*s**3 + 3*s**2.\nAnswer: 31*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 81846, 81880, 81914, 81948, 81982, 82016?\n\"Answer: 34*p + 81812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555718812 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 639?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3991880 divided by -20\nAnswer: 199594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -6*a - 12. Solve -a*q = -3*q - 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35380 (base 9) to base 8.\nAnswer: -56133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4080 and 3854240.\nAnswer: 11562720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -z - 5*q, 0*z - 3*q = -4*z - 11. Let l = -21 + 29. Calculate the smallest common multiple of z and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 3*r**2 + 5*r. Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*i**3 - 9*i**3 - 623488 - 65*i**2 + 623488 - 14*i**3 as d*i**2 + a + t*i**3 + b*i and give d.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*w = 0. Suppose w = u + 3*x - 4815, 4*u - 3*x - 19185 = -0*x. What is u rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53368 is divided by 13342.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 5:12 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2703 + -2694. Sort h, -0.7, 0.09.\nAnswer: -0.7, 0.09, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12020 (base 3) to base 6.\nAnswer: -353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 110.893?\nAnswer: 99.8037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lwwn when four letters picked without replacement from wwlnslhsslw.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103152 is divided by 2024?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + 17 - (6 - -3 - 3).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + 6*(sqrt(204) - (sqrt(204)*-1 + sqrt(204) + sqrt(204) - sqrt(204))))\/(-2*(sqrt(108) - sqrt(12))).\nAnswer: -7*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005589 is divided by 335132?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -22, -3, 0, -4 in decreasing order.\nAnswer: 0, -1, -3, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -3*k**2 - 2. Let f be p(2). Let x = -11 - f. Solve 4*u = -o + 10, o + x + 5 = 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29163 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - n. Let l(d) = -2*d**3 - d**2 - 3*d. Give -l(h) + 3*r(h).\nAnswer: 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.126209 and -2.9?\nAnswer: -6.1660061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 23. Let i = -10 - z. Suppose -4*n + 4*t = 16, 3*t = 2*n + 5*t + 16. Is n < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831164 to the nearest integer?\nAnswer: 912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12751015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 11. Let p = -0.01 + 0.11. Let b = -0.1 + p. What is the smallest value in 0.2, y, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 946391325 to the nearest integer?\nAnswer: 982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.46 + 0.04. Let v = -11.34 - -6.34. Which is the third smallest value? (a) t (b) -2 (c) v (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 135878\/7 - 19452. Is m less than -41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -0.5, 0, 1.83, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9622588, -9622584, -9622580, -9622576, -9622572?\n\"Answer: 4*d - 9622592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + -131?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 3*j + 0*j)*(-1 - 2 + 0)*(-464 + 255*j**4 + 464) + 0*j**5 - 6*j**5 + 0*j**5 + 2*j**5 - 5*j**5 + 0*j**5.\nAnswer: 1521*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63 + 63 + 4*t - 4*t**2 + t**2 to the form b*t**2 + q + d*t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3 - 706*t**2 - 130065*t - 1904400.\nAnswer: -(t + 16)*(t + 345)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8700 - -2339. Round h to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/5 - 14*m**3\/5 - 9*m**2\/5 + 4*m + 103. Solve q(o) = 0 for o.\nAnswer: -10, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 299 + -298.999999801. What is p rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.98, -1\/1745, 16 in ascending order.\nAnswer: -1\/1745, 1.98, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**4 + 2*t**4 - 2*t**4)*(-36*t + 25 - 25) + (t - t - 2*t**4)*(3*t - 2*t - 2*t - 1 + 1 - 2*t + (-2*t + 0 + 0)*(-4 + 3 - 1)).\nAnswer: -38*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -222012110210?\nAnswer: -222012110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -5*g**3\/6 + 3*g + 12. Let m(c) be the first derivative of i(c). Let p(h) = -h. Determine m(p(k)).\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.42 in 1\/3, -2\/7, -0.3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 43738.\nAnswer: 262428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-70) + -1574*(-2)\/28. Suppose -s - 2*g = -22, 5*s + 11 = -2*g + q. What is the greatest common factor of 30 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -48.1 and -77.6637.\nAnswer: 3735.62397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 495328 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 30 = 63. Let k(s) = 4*s**2 - 6*s + 3. Let o(c) = -11*c**2 + 18*c - 8. Calculate z*o(m) + 8*k(m).\nAnswer: -m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23248 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l + 35. Let w be x(12). Suppose 33*c = -4*d + 31*c + 16, 3*d = -4*c + 17. Solve -5*i = -p + w, -d*i + 5*i = -p - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16958*b + 11*b**2 - 16958*b - 1.\nAnswer: 11*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/11))**44 assuming u is positive.\nAnswer: u**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7426920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 - -548) + 96\/(-12). Suppose w = c + 1144. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v + 21 = 4*r, -v = 4*r - 9. Let h(c) = -c**2 - 5*c - 4. Let m be h(-4). Let q(u) = -4*u - 2 + 0*u**3 - u**3 - 4*u**2 - u + m*u. Determine q(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 13*y + 18*y - 19*y. Let s(l) = 3*l**2. What is s(o(a))?\nAnswer: 432*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 433*q**2 - 169*q - 162769 wrt q?\nAnswer: 866*q - 169","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 730 * -7\nAnswer: -5110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-954)\/(-265)*(90 - 0)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818084 - 818077 - 818077 + 2454238 + 6*z.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9435 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -q - 17, -q + 8*a = 12*a - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:09 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0 (b) 6 (c) 8\/5 (d) 5073\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -160*j**2 + 4*j + 4. Let f be g(-1). Let k be f\/(-25) - 21\/(-35). What is the highest common divisor of k and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3*q - 15, -4*o + 2*q - 20 = -2*q for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13934 - -27447. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and 2202.947.\nAnswer: -1762.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1900)*-2)**2 + (sqrt(608)*1 - sqrt(38))\/sqrt(2).\nAnswer: 83*sqrt(19) + 7604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1374.3 + 1374. Let y = -4 - -4.44. Is y greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 407 + -376. Suppose -g*z + 108 = 5*z. Solve z*d - 5 - 4 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 3:03 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 372748 (base 10) to base 13\nAnswer: 10087c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**13*i*i**(2\/7)*(i**0\/i)**(-2\/3) assuming i is positive.\nAnswer: i**(314\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 250056847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -109628920, -219257842, -328886764, -438515686?\n\"Answer: -109628922*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 3*t - 10 = 0, 2*l - l - 18 = -4*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 570259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)*1)**2 + 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 4*l - 22, 5*l - 10*m + 15*m - 50 = 0. Sort -190, l, 2 in decreasing order.\nAnswer: l, 2, -190","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 1 - 5. Let g(y) = -y**3 - 7*y**2 - y + 5. Let m be g(-7). Let o = m - 12. Is u less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p**2 + 3*p. Let r(i) = 6*i - 54 + 0*i - 3*i + 20. Let h be r(12). Determine g(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(320) + 1) + (-2 + sqrt(320))*-6 - (sqrt(320) + 2*sqrt(320) + 5 + ((-1 + sqrt(320) - sqrt(320)) + sqrt(320))*-5)*4)**2.\nAnswer: -1664*sqrt(5) + 5796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -2 + 1 - 0. Suppose -r*l - 9 = -z, -2*z + 0*z + 5*l = -17. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 9:43 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1019 and 432.272.\nAnswer: -586.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 3, 29, -5.2, -2\/11, -1\/8?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -64 + 17 + 47 + 12*x**2 - 5*x as p*x**2 + m + n*x and give p.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4953*m**3 + 1016*m - 1016*m.\nAnswer: 4953*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-48)\/(-14) - (-18)\/(-42). Suppose -3*k + 87 = -5*o, 41 + 10 = -3*o + h*k. What is the lowest common multiple of 2 and 4\/2*-1 - o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 - 17*x**4 - x**3 + (-1 - x**2 + 1)*(-5*x**2 + 8*x**2 - 12*x**2).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 20 = -5*h, 3*n = -0*h + 3*h - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -96 + 72. Let l = 76 + m. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**2 - 85*f**3 + f**2 + 90*f**3.\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 - 2*m**2 + 1. Let g be x(-3). Calculate the common denominator of (33\/g)\/(6\/260) and 139\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 8232*c - 6557. Is k(56) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 805, 1625, 2451, 3283?\n\"Answer: 3*t**2 + 811*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -11*c - 63. Let z be t(-6). Solve 4*d - 32 = -z*r - 12, d - r = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v + 1. Let r(q) = q - 13. Let k(s) = 3*h(s) + r(s). Let a(b) = b - 2. Let i(m) = 33*a(m) - 6*k(m). Differentiate i(x) with respect to x.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**6\/160 - h**5\/24 - 3*h**4\/32 - h**3\/12 - h**2\/2 - 2. Let f(b) be the second derivative of j(b). Factor f(r).\nAnswer: -(r + 1)*(r + 2)*(3*r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*k + 5*k**2 + 2*k - 25*k.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-3 + 33\/3). Let z = l + 3. Sort z, 0, -5 in increasing order.\nAnswer: -5, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 542237 = 1626712\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -483291169 + 35.23.\nAnswer: -483291133.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**18)**(-3\/23)*(b\/(b\/b**(-10\/3)))\/(b*b\/b**2) assuming b is positive.\nAnswer: b**(-401\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.8 + -22. Which is the nearest to -1? (a) -4\/7 (b) y (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**4\/20 - 19*p**3\/5 + 24*p**2 + 3545*p. Factor z(r).\nAnswer: -3*(r - 2)*(r + 40)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 5*g + 2*u, 41*u - 28 = -2*g + 38*u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 4. Let u be h(5). Let c be u\/2 - 5\/10. Let w be (-25)\/c + -2 - 2. Which is greater: 1 or w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415926048 divided by 6?\nAnswer: 69321008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22147 - 664339\/30. What is the common denominator of s and -82\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 greater than or equal to -558110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 438*d*i**2*w + 2*d*i**2 + 12*d*i*w**2 + 82*d*i*w - 15*d*i + 4*d*w**2 - 6*i**3 - 7*i**2*w**2 - i wrt i.\nAnswer: 876*d*w + 4*d - 36*i - 14*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -33+191.723345\nAnswer: 158.723345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3348 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 0.26 (c) -4 (d) 11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h**5\/3 + 1292*h**4\/3 - 26618*h**3\/3 - 113404*h**2\/3 - 91736*h\/3 + 36080\/3 = 0 for h.\nAnswer: -2, 2\/7, 41, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zev when three letters picked without replacement from {e: 1, o: 1, v: 1, g: 1, z: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2962467.\nAnswer: 3, 109721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*p + 72 = 0, 0*v - 2*p - 66 = -5*v. Which is smaller: 13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4\/11 + -100\/33. Which is bigger: a or -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5874 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 4 = -y. Find the common denominator of ((-14)\/(-392))\/(y\/62) and (-4)\/(-14) - 705\/(-154).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 + -158. Suppose -4*m - f*g + 142 = -0*m, -3*m - 5*g + 110 = 0. Calculate the highest common factor of m and 280.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -4, 4\/123, -560, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) 1\/6 (c) -1 (d) -0.1 (e) -11572\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8859*f**2*m**2 - 168*f**2*m + f - 144*m wrt m.\nAnswer: 17718*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + f**2 + 1. Let s(j) = -15*j**3 - 12*j**2 - 12. Give 12*p(t) + s(t).\nAnswer: -27*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/9 - 130120*x\/9 - 2116401800\/9 = 0 for x.\nAnswer: -32530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4846907243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1180\nAnswer: -1172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1145 + -698. Let y = h - 452. Let k = -15 - -11. Which is the nearest to 0? (a) k (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -864de8b + 3?\nAnswer: -864de88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1\/2*p**3 + 0*p - 1\/6*p**4 + 1\/20*p**5 + 0 + 2*p**2. Give r(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 6168.\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3566983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1631522 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(3600) - (sqrt(3600) - 4*sqrt(3600)*2 - sqrt(3600)))*-6)\/((sqrt(80) + sqrt(5))*-6 + sqrt(60)\/(-2*sqrt(12))).\nAnswer: 3 + 1296*sqrt(5)\/61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1.6*-2502\nAnswer: 4003.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 20 and 132\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -33604709 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1437817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7 + -10 + (-4)\/(-22) + (-248)\/(-88). Let g(d) be the second derivative of f + 38*d - 5\/2*d**3 + 35\/2*d**2. Differentiate g(z) wrt z.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -648\/1645 - 2\/329. Let c be 7 + -1 + 2 + (-120)\/14. Sort j, c, -0.2, 2\/33 in descending order.\nAnswer: 2\/33, -0.2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-4)*(0 + 2). Let h(b) = -b + 2. Let w be h(s). Solve -w*a + 3 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 1. Let j(p) = -18*p**2 - 7. Let u(n) = -4*b(n) - j(n). Let g be u(-2). Let q = g + -43. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 49*j**2. Let r(n) = -51*n - 8. Let h(o) = 1026*o + 162. Let m(d) = -4*h(d) - 81*r(d). What is g(m(i))?\nAnswer: 35721*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.24 and 429.\nAnswer: -102.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59\/145 - 6\/29. Find the common denominator of -46\/3 and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 1\/2, 0, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*q - 2*b + 88543, 177098 = 2*q - 2*b. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12178, -24357, -36538, -48721, -60906, -73093?\nAnswer: -85282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 176402148 and 27138792?\nAnswer: 352804296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48453848.\nAnswer: 2, 6056731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 36 = 7*r + z + 6, 7 = z for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/10*11\/((-11)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5111 - 3078. Suppose -6*b + 5611 = -u. List the prime factors of b.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24639409 and 2831?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.025645686758 take away 3?\nAnswer: -8.025645686758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = -18. Let v(y) = -y**2 - 8*y - 1. Let j be v(i). Let k(n) = -58 + 58 + j*n**2. Let b(p) = -2*p. Calculate k(b(h)).\nAnswer: 44*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 3. Let w be j(2). Solve 4*n = -g + 7 + w, 2*g + 5*n - 12 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 26\/5 of a millennium?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 2, 1\/7, -1611, 4\/7, -1?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 22 = -5*o, 0 = -4*y - 3*o + 34 - 7. Suppose 14 = 4*f + y*b - 61, -3*b + 3 = 0. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5134.2 - -5134. What is the nearest to -1\/5 in 0.12, b, -1\/3, 3\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -4. Suppose -s = v - 4. Let z(h) be the second derivative of -h**5\/20 - h. Let p(c) = -6*c**3 + c. What is s*z(b) + 2*p(b)?\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:44 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 23 + -22 - 6\/8. Sort -10, g, 1\/2 in ascending order.\nAnswer: -10, g, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1204\/19 or -63?\nAnswer: -1204\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -133 + 133.94. Let s = -0.94 + u. Let o = 2\/223 + 665\/446. Which is smaller: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 646 and 34.\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*o - 19*o - 1841 + 19586 = -18*o for o.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/8 (b) -4 (c) -3 (d) 1\/20483 (e) 3 (f) 0.9 (g) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q + 201*q - 136 = 275 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.27 + 5.27. What is the nearest to 0 in -1, -11, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*(-4)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -2771*x**5\/10 + 199*x**4\/12 + 4*x**2 - 46*x. Find the third derivative of h(l) wrt l.\nAnswer: -33252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 17162, 17159, 17156, 17153?\n\"Answer: -3*l + 17165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 201*z + 851. Is w(12) a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582446893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(85\/(-68))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-9))\/(2*11\/330*-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/5, -5, -1222\/439 in decreasing order.\nAnswer: 1, -1\/5, -1222\/439, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o**2 - o**3 - 2*o - 2*o**2 - 5*o + 16*o**2 + 1 - 12*o**2. Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -10*p - 172. What is a(-22)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**3 - 11*w + 11. Suppose 3*v + a - 45 = -v, 4*v + 4*a = 48. Suppose 6*b - 3*b = 12. Let u(f) = -4*f**3 - 8 + b*f + 2 + 2*f. Give v*u(m) + 6*r(m).\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 100*u + 7684 - 7884. Let s(k) = 5*k + 1. Let a be s(-5). Is a greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (49\/14 + -3)*(-2)\/(-3). Factor g*i**2 + 0 - 1\/3*i.\nAnswer: i*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -22*g**7\/7 + 2*g**3\/3 - 28. What is the third derivative of j(l) wrt l?\nAnswer: -2640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10710287*b**2*l**2 - 2*b**2 + 397*b - 2364*l wrt l.\nAnswer: 21420574*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -143 (b) -14\/23 (c) -507\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(25\/20)\/(-5)*-2516. Let s = -18857\/30 - b. Calculate the common denominator of 4\/27 and s.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 51?\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + b. Let q(t) be the second derivative of 3*t**4\/4 - 7*t**3\/2 + 143*t + 2. Determine 2*q(a) + 42*u(a).\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1936))\/(sqrt(128) - sqrt(128)*-2) + (sqrt(98) + 4 + sqrt(2) - (sqrt(2) - sqrt(588)\/sqrt(6))).\nAnswer: 4 + 73*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -g + 11, 4*u + 1 = 2*g - 9. Let w be (5 + g - 3) + 400002\/(-2). What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 7, m: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -25*c - 80. Let q be l(-7). Let z = -75 + q. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131021, 2, -54 in descending order.\nAnswer: 2, -54, -131021","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*t - 18 = -3*t, 5*y = 3*t - 23. Let h(j) = j**3 - j**2 - 2*j + 2. Let c be h(2). Let a be (c\/4)\/((-2)\/(-4)). Put a, 3, y in decreasing order.\nAnswer: 3, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34923532.\nAnswer: 2, 7, 1247269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1196)\/845)\/23*-13\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5}. What is prob of picking 4 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 2*g**3 - 13*g**2 + 6*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -140+-2\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -379*p. Let b(v) = -14212*v. Let t(a) = 5*b(a) - 187*d(a). Let m(h) be the first derivative of h**3\/3 + 262. Determine t(m(j)).\nAnswer: -187*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/110 and -91\/30?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-35))\/((-42)\/(-16695)*106)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 65829, 65850, 65871?\n\"Answer: 21*a + 65808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*j**2 - 529 + 267 + 262.\nAnswer: 301*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*x**3 + 28*x**2 + 1 - 52*x**2 + 27*x**2 as f*x**3 + y*x + a + o*x**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9499*d**2 + 9499*d**2 + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1201 - 3?\nAnswer: 11fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -6 (b) -0.02 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 q, and 1 v when four letters picked without replacement from {o: 2, i: 2, q: 2, m: 1, k: 3, v: 4}?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 1919 - 5754 + 1920 + 1915.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/148795 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0728154 rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k - 10 = 4*i, 5*k + 1 = i - 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2834 + -2993 - (-5 - 98)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + s - 400 = -40575, 6*s + 50214 = 5*j. Calculate the greatest common divisor of 124 and j.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 y, and 1 e when three letters picked without replacement from yteet.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 6*w**2 - 6*w + 5. Suppose 0*q + 2*q = -20. Let f be 36\/(-2 + 0) + 3. Let a = q - f. What is o(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.95 + 0.05. Let z = 658\/9 + -664\/9. Which is the third smallest value? (a) z (b) k (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 2885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.062078243625 and -0.46.\nAnswer: -0.522078243625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8880 and 4995?\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 + 5 + -6 + -3. Let x(r) = r**2 - 5*r - 99. Let w be x(m). Solve 3*p + 2 = w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -635 - -841. What is the second derivative of -1245*v + 20*v**4 + x*v**4 + 7 + 1242*v wrt v?\nAnswer: 2712*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 5*f - 3. Let u = 12 + -35. Let t = u - -16. Let v be z(t). What is the greatest common divisor of 24 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 15269.\nAnswer: -32\/15269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1080 and 442454490.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7064 - -2?\nAnswer: -7062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3688\/11 + 335. Which is the third biggest value? (a) t (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40655 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/21)\/(1\/(-3)). What is the second biggest value in l, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*b + 2*b - 559, 4*w - 571 = -5*b. What are the prime factors of b?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 225816?\nAnswer: 225817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p + 32 = -0*p. Let o be p + 458\/4 + 9\/(-18). Calculate the highest common divisor of 22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 62527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 85854 = -5*a + 19746, 3*y = 3*a - 63378. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-2) - (-1 + 4). Let r = 22 - 12. What is the highest common divisor of s and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/((-1)\/(-30)*-3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/6788?\nAnswer: -1\/6788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*k = -218*k + 2292. Let i(v) = 49*v - 279. Give i(k).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 550176 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -i - 278, 6*a + 339 = 8782*i - 8785*i for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 11 = g, 0 = 4*u - 5*g - 21 - 0. Let w = -556 + 527. Let z(r) = r**2 + 30*r + 26. Let q be z(w). Sort -1, u, -4, q in descending order.\nAnswer: u, -1, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101201112200020 (base 3) to base 13\nAnswer: 1247052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**3 - 202*t + 3*t**3 + 208*t - 4*t**2 + 4. Let o be a(-5). Suppose 3*y = -2*l + 5, -4*l - 5*y + 4 = -y. Sort l, o, -4 in decreasing order.\nAnswer: o, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/109 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, i: 4, o: 5}. What is prob of sequence iei?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3039.\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**1*h*h)**(-17\/3)*h**(1\/12)\/(h**(-4)*h) assuming h is positive.\nAnswer: h**(-167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 12*t - 10*t - 10, 0 = 3*w - 3*t - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1151 (base 13) to base 14\nAnswer: -c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.1, 22, 21?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -248.\nAnswer: -248, -6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -527, -576, -625?\n\"Answer: -49*x - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 10*v**2 - v - 8. Let l be n(-10). Solve h + 2 = l*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 7 = z + o, -2*z + 3*o = 19. Let r = -4 - z. Let y = r + 4. Solve 2*b + 15 = 4*b - 3*p, y*p + 10 = -2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707027 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5721389\/88 - -65028. Let g = l + -100\/11. Find the common denominator of -5\/6 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/3 >= 5585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 75904*h**5 + 1527*h - 20 wrt h?\nAnswer: 1518080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547213.\nAnswer: 17, 32189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 6*r - 8. Let b be w(8). Is (-15172)\/b*(-4)\/(6\/3) 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 in 3\/5, 4, -4, 9\/4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 16*d**2 + 20*d + 21. Let b(s) = -14*s**2 - 19*s - 22. Let m(q) = -6*b(q) - 5*u(q). What are the prime factors of m(-5)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 515847.\nAnswer: 3, 107, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*4\/(-651286). Let x = c - -38751037\/156308640. Let s = -3\/160 - x. Which is greater: s or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**6\/15 + 2*m**5\/25 - m**4\/10 - 2*m**3\/15 + 24. Factor x(n).\nAnswer: 2*n**2*(n - 1)*(n + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 15*m + 546. List the prime factors of g(-50).\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uussussfssruusfssr. What is prob of picking 2 s and 1 u?\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4706 and 5068.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1395 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 16*f**2. Let o(y) be the first derivative of -7*y**2\/2 - 64. Give o(d(r)).\nAnswer: -112*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 3)*1*4. Suppose 37 = 5*k - n. Let d(m) = m**3 - 9*m**2 + 12. Is d(k) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k + 3 - k - k**2 + 3*k. Let j be v(5). Is 0 + j + 395 + 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34031 (base 9) to base 8.\nAnswer: -54143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 9 + 1 + 2 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mz when two letters picked without replacement from {e: 1, z: 1, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 105*k. Let j(q) = -5472*q + 10941*q - 5467*q. Determine j(f(d)).\nAnswer: 210*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -28)\/(13\/871) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1038)\/9515*11\/(-2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 333 (base 4) to base 11\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 9) in base 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/4 + 49*l\/4 + 53 = 0. What is l?\nAnswer: -4, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 108487, 108489, 108491, 108493, 108495?\n\"Answer: 2*n + 108485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5132842 divided by 3.\nAnswer: -5132842\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and -155.2647305888?\nAnswer: 154.2647305888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, b: 3, k: 4, f: 1, e: 4, u: 4}. What is prob of sequence bj?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34038*28.\nAnswer: -953064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 + 12*a**2 - a + 9. Calculate the smallest common multiple of (-2)\/5 - 1596\/(-15) and o(6).\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: -210 divided by 2\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 3*a + 11. Let b = 16 - 11. Let p(u) = -u**2 + 5*u - 5. Let h be p(b). Let r be y(h). Solve 0 = 2*o + 2, 4 = d - 2*o - r for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v + 36. Let b be d(4). Suppose -3*s + 16786 = -p - 285211, 2*p - 3*s + 603997 = b. Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 9529.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 261 - 256. Let r(g) be the third derivative of 5*g**4\/12 - g**3\/6 + 24*g**2. Let u(j) = -9*j + 1. Calculate n*r(i) + 6*u(i).\nAnswer: -4*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (1 - -2 - -4)) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 153*i**3 - i**2 - i + 1. Let n be y(1). Does 13 divide (-18)\/(-27) + n\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n = 8*n + 45. Let g be n\/(-9) - (-2)\/(-1) - -8. Solve 2*p = p - g for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/17 - 2121120*p\/17 - 99688222\/17.\nAnswer: -2*(p + 47)*(p + 1060513)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4340 divided by 868.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjffffjjjfrfjjfjjj. Give prob of picking 2 j.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*q - d - 9, 5*d = -5*q + 10. Let v(r) = -r - 2. Suppose -5*x = -3*t - 48, 0*x - 32 = 4*t + 4*x. Let u(g) = -5*g - 10. Determine q*u(f) + t*v(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2496.909 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y\/y**(-6))*y)\/y**(1\/3)*(y\/(y\/y**(-1\/3)))**(22\/5)*y**(-3\/7)*y**4\/y*y*(y\/(y**1\/y))\/y*y**(-4) assuming y is positive.\nAnswer: y**(-288\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-236)\/1062 - (-7)\/(-9) - (22 + 1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*-1 - (sqrt(275) + 1) - -5*(-1 + sqrt(1100))*-4.\nAnswer: -206*sqrt(11) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l**2 - l + 3. Let w be o(5). Suppose -4*g = -40 - w. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 4 - 29*l**4 + 23*l**4 + 2*l**4 - 4*l**4 + l**4 + (-l + l + 2*l)*(-4*l**3 + 0*l**3 + 6*l**3) - 2*l**4 + 0*l**3 + 0*l**3.\nAnswer: -5*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 10*o**4 - 165*o**3 + 945*o**2 - 2295*o + 2025 = 0.\nAnswer: 3, 15\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 1) + (-14 - -8 - -7 - 17).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**(-2\/29)\/y*y*y*y*y\/y**(-45)*y)**(10\/7) assuming y is positive.\nAnswer: y**(2110\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2818056 is divided by 7263?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 830237695 to the nearest integer?\nAnswer: 28814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2 = -q, -2*q - 3*q = k - 23. Let y = 0.164 - 0.204. What is the nearest to 0.1 in q, -3, y, 2\/7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 54 = 3*r, 5*r - 69 = -3*a + 3*r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 135\/180*(-8)\/(-3). Sort 5, -11, -4, k.\nAnswer: -11, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 1. Suppose -4*g + 5*y = 17, 7*g = 2*g + 2*y. Let a(k) be the first derivative of -4 - 1\/2*k**g - k. Give -a(r) - 2*h(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -175 + 39 + 24 + -24 + 7\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a - 52 = 15*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (24 - 13) + (-51 - (0 - 14))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + (-140)\/(-21))*6\/28. Which is the nearest to 0.1? (a) -0.01 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + v)*(1 - 1 + v) - v**2 + v**2 + v**2)*(-v - 4 + 4)*(9*v**2 - 4*v**2 + 11*v**2).\nAnswer: -32*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96486079.\nAnswer: 41, 61, 173, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -387 (base 13) in base 6?\nAnswer: -2510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 108. What is the tens digit of ((-1674)\/15)\/((84\/(-45))\/a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 2*c + 9. Let m(y) = y**2 - 2*y - 5. Let u be m(0). Let p be 1 + u - (13 - 12). Let h be g(p). Which is smaller: -28 or h?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7320685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.7 + -0.6. Let u be (32\/10 - 48\/(-60))\/(-22). Which is the nearest to i? (a) u (b) -5 (c) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 f, and 2 h when four letters picked without replacement from {v: 1, h: 3, g: 2, u: 1, b: 3, f: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 305 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3, -465 in ascending order.\nAnswer: -465, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8491056 divided by -101084.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + p - 7 = 0, q + 2*p = -0 + 9. What is the common denominator of (-2)\/q - (-115)\/(-100) and -49\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 248\/(-1 - -3)*(-385)\/(-28). Let u = -919 + v. What are the prime factors of u?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-10)\/12)\/(11445\/(-164808))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35660 divided by 4.\nAnswer: -8915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 193316905?\nAnswer: 5, 38663381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/1*(-12)\/3. Suppose -4*l - b - 19 = h*b, -4*b = 4*l + 20. Let j be 1 + 0\/(-2) + l. Is -4 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 5*a**2 - a + 5. Let g be p(5). Suppose g = 2*l - 7*l + 95. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/1577360 and 29\/118302.\nAnswer: 4732080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 148*k - 2877. Determine u(-23).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*d - 2*d. Let n be d\/((-3)\/6) - 2. Solve 2*r - 4*r = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + y - 1 = 0, -4*y = -5*p - 0 - 1. Let v = p + 3. List the prime factors of (-1 + 2)\/(v\/84).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + 30. Calculate the remainder when o is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + -5*sqrt(52)))**2 + 5.\nAnswer: 20*sqrt(13) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 + 18.3. Let r = -25 + n. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5088 + -2428. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 10*i**3 - 37*i**2 - 9*i + 6. What is j(4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4575372 is divided by 245?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4 - 0. Let z = -4.5 + 0.5. Let h = -2 - z. Sort t, h, 1.\nAnswer: 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 21*v - 1. Let l(m) = -7*m. What is 7*l(p) + 2*z(p)?\nAnswer: -7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 46264365223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 600217417 to the power of 1\/3, to the nearest integer?\nAnswer: 844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1188) - 2*sqrt(1188)*1) + (-2*sqrt(1188) + sqrt(1188))*6)*6)\/((sqrt(704) - (sqrt(704)*1 - sqrt(704))*5) + -4*-2*sqrt(704)))**2.\nAnswer: 147\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/(693\/(-18)) + 10\/(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 923 and 142?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2915 rounded to 2 decimal places?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 38*m + 74. Let a be k(36). Solve 0 = a*z - 25 + 31 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1632 is divided by 543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3135659914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 12 + 198*p - 2*p**3 + 1 + 3 to h + v*p**3 + b*p + i*p**2 and give b.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11425, -8632, -5839?\nAnswer: -3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 50. Suppose -3*i - 3*s - 5 = -c, s + 17 = 2*i. Solve 10*q + 12 = i*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 3672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (26 + (-8720)\/336)\/(21\/(-9))\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1233491 + 656*z + 1233491)*(-2*z**3 - z**3 - 4*z**3) + (-z**2 + 3 - 3)*(-z**2 - z**2 + 3*z**2) + 2 - z**4 - 2 + 2*z**4 + 0*z**4 - 3*z**4.\nAnswer: -4595*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 82?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, j: 2, v: 1, x: 1}. Give prob of sequence jj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -3544.\nAnswer: 13\/3544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3085 by 17.\nAnswer: 3085\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 23.3 (b) 13\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -15*p - 366 + 418 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 2*u**3\/3 + 51*u**2\/2 + u - 11. Let v be w(-8). Calculate the greatest common divisor of v and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let w be (-1 + -1)*(-2)\/4. Suppose w = -i + 2. Let y = i - 1. Give v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -6, 2, 4 in decreasing order.\nAnswer: 42, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/21)\/(3330\/35)?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 4*g**2 + 1. Let w be m(-4). Is w at most -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10682 + 10687. Put 10, 0, b, 1 in descending order.\nAnswer: 10, b, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 119*f + 1430. Let p be o(-12). Solve 3*m + p*l = 17, 6 + 1 = 2*m - 3*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 5 - 1) + -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or -121\/9?\nAnswer: -121\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(5*((sqrt(128) + -2 + sqrt(128))*3 - (sqrt(128) - (sqrt(128)*1 - sqrt(128)))*1)**2 + 5).\nAnswer: -2400*sqrt(2) + 16185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 38*b - 143. Let q be i(-34). Let u = 11 + q. Solve -5*z - 5 = -u*x, 2*x - 2 = -z - 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -19187, -77177, -173989, -309623, -484079?\n\"Answer: -19411*p**2 + 243*p - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**2 + 9*i**2 - 2*i**2 + (4 - 5 + 0)*(0 + 2*i**2 + 0) - 1 + 1 + 5*i**2 to the form n*i**2 + y + f*i and give n.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18243 and 2232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2962189, 2962188, 2962187, 2962186, 2962185?\nAnswer: 2962184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -108 + 107. Let u = -3 - 1. Which is the third biggest value? (a) -2\/7 (b) f (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, h: 4, c: 1, f: 2, p: 7}. Give prob of sequence ff.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*5\/(-40)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 6)*(4 + 3 - 4) + 1 - 5 + 2)*(-49933 - 404*t + 49933).\nAnswer: 3232*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -76812, -3, -5, -1 in descending order.\nAnswer: 0, -1, -3, -5, -76812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001104 rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 110983127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11755 by 5.\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -355*p + 354*p + 4*z + 11016, -22086 = -2*p - z. Is p a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76*r**3 - 51*r**3 + 155*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 392 (base 16) to base 12\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7383432 is divided by 323.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbxxxbfx. Give prob of sequence bf.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-28)\/7 - (-318)\/3. Let k = 151 - x. Calculate the remainder when k is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-1 - 15) + -1 - (11751 + -11646))\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 12*r**3 + 117*r - 90. Let m(b) = b**3 + 9*b - 7. Let x(l) = 27*m(l) - 2*w(l). Let f(o) = -o**3 - 2*o + 2. What is 9*f(v) + 2*x(v)?\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 0 + -3)\/(-1). Let a be 2*(7\/(-21) + 17\/6). Let k be ((-8)\/a)\/(m\/(-5)). Sort -3\/4, 0.3, k in descending order.\nAnswer: k, 0.3, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.12 and 0.1451.\nAnswer: 0.017412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -811*i - 62. Let j(q) = 92*q. Determine m(j(s)).\nAnswer: -74612*s - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13 and 38819.\nAnswer: 504647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 7*c**3 + 2*c**2 + 3*c + 2. Suppose -3*x = -4*a + 19, -5*a + 10 = 2*x - 8. Determine u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 908.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 50 (b) 0 (c) -555\/8 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1053) + -4 + (1 + sqrt(1053)*-2)**2 - 5*((sqrt(1053)*-1 + -1)*2)**2.\nAnswer: -16868 - 387*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r + 4. Let x(u) = -1. Let a(b) = -4*b - 18. Let i(q) = a(q) - x(q). Let m(k) = -9*g(k) - 2*i(k). Let d(v) = -v**2. Determine 2*d(f) - m(f).\nAnswer: -2*f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5917570, 5917580, 5917590, 5917600, 5917610, 5917620?\n\"Answer: 10*n + 5917560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i + 1. Let f(p) = 2*p + 2. What is -f(u) + 4*j(u)?\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*n**3 + 5*n**3 + 7*n**3)*(456*n + 45*n - 57*n).\nAnswer: 16428*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 5*s**2 + s - 2. Let g = 14 + -9. Let i be f(g). Suppose -2*k = -0*v - 4*v + 20, i*k = -3*v + 15. Solve k = 3*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.215133 - 2.203. Round b to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 22 = -111 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + n**2 - 5*n + 3. Let x(j) = -j**3 - 67*j**2 - 313*j - 12. Let k be x(-5). Determine r(k).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**4\/(((s\/((s*s\/(s*s**(-5\/4)*s*s)*s*s)\/s))\/s*s)\/s))**(-40)\/((s*s*((s\/s**9)\/s)\/s)\/(s*s**(-2\/7)))**(-50) assuming s is positive.\nAnswer: s**(-4520\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 21*z**2 + 35*z - 41. What is t(-19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 10:48 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -48 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53807, 54410, 55415, 56822, 58631, 60842?\nAnswer: 63455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 761808781 to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 9722251 and 9722251 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 9:41 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/27*3204\/(-4984)?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 2*o = 100. Let q be 105\/o + 2\/(-10). Solve -1\/3*f + 1\/3*f**3 - 1\/3*f**q + 1\/3*f**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -16 + 0*w**4 - 2\/3*w**3 + 0*w + 0*w**5 + 16\/3*w**6 - 1\/2*w**2. Find the third derivative of x(j) wrt j.\nAnswer: 1920*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwqybybyydyydy. What is prob of picking 1 q and 1 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3389 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7189 divided by 1027.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15b (base 15) to base 5\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 4) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13549035 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 v when three letters picked without replacement from {v: 2, q: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6130000 rounded to the nearest 100000?\nAnswer: -6100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 5*v + 395 - 360 = 0, t - 4*v + 3 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 + 18560*l + 770700.\nAnswer: 5*(l + 42)*(l + 3670)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = 22*w - 16 + 74. Let u(q) be the third derivative of q**5\/60 - q**4\/24 + q**3\/6 + 8*q**2. Let j(f) = -5*f**2 + 10*f - 6. Calculate w*u(p) - j(p).\nAnswer: -p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/15 - 104\/(-10). Suppose 2*n = -3*g + 52, 0 = 2*n - y - 0. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 8 = -16*i. Suppose 0 = -i*c + 3*c + 25. What is the least common multiple of c and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 719 + 54622 = -1677*f for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385249?\nAnswer: 385249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 7*x - 12. Let i be m(-8). Let v = 15 - i. Let q = v - -5. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602438500 plus 103467?\nAnswer: 2602541967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 65*f - 41. Give y(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 15*c**3 - 24245*c**2 + 8070*c + 16160 = 0?\nAnswer: -2\/3, 1, 1616","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6180.4 + -6180. Which is the second biggest value? (a) -1\/6 (b) -3 (c) -34 (d) 1 (e) y\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3956)\/700 + 4\/7\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q - 1. Let m(t) = t**3 + 8*t**2 - 4*t - 6. Suppose 0 = 66*x + 823 - 1087. Give x*u(a) - m(a).\nAnswer: 3*a**3 - 8*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 less than 1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9998 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 1. Let x(f) = -f**3 - 5*f**2 - 5*f - 3. Let m be x(-4). What is the remainder when 12 - m - (0 + -2) is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**5\/20 - m**4\/2 + 3*m**2 - 12*m. What is q(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 241 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjjvvjjjjvjv. Give prob of sequence jjjv.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*c + 22*c = -3*n + 6, -5*c = -3*n + 46. Let w(r) = 51*r + 2. Let s(k) = 76*k + 3. Give c*s(l) + 8*w(l).\nAnswer: 28*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -8*u**3 - 2*u**2 + 5. Let h be l(-3). Let p = h + 20. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7004*o - 36 + 14000*o - 6997*o)*(2 - 2 + o).\nAnswer: -o**2 - 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/6 - (-96)\/(-72). Let u be ((-4)\/(-4))\/2*1\/(-3). What is the third smallest value in -6, h, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 + 65\/24*j**4 + 0*j**3 + 1\/24*j**6 + 137*j**2 - 7\/6*j**5 + 0*j. Factor q(h).\nAnswer: 5*h*(h - 13)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(64) + sqrt(32)\/sqrt(2))*5)\/(((sqrt(96)*2)\/sqrt(4))\/((sqrt(120) - sqrt(120)*-1)\/sqrt(10) - sqrt(12)))*-1.\nAnswer: 15*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1650.207t?\nAnswer: 1650207000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 bigger than -21636\/2077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (23 - 15) + (((-752)\/(-73))\/(-2) - 2). Is a equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -205675992 divided by -21082?\nAnswer: 9756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 866 (b) 0.5 (c) 0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 - -50. What is the first derivative of s + 22*r**2 - 49*r**2 + 15 wrt r?\nAnswer: -54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 312 + d**2 + 14*d - 320 + 0*d**2. Let q be y(-15). Let c(s) = s**3 - 7*s**2 + 4*s - 10. Calculate c(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/3, -0.04, -2, -9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(68) - -1*sqrt(68)) + -4.\nAnswer: -8*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2313*u**3 - 3718*u**3 + 2855*u**3 + 2278*u**3.\nAnswer: 3728*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231211 is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddkkfh. What is prob of picking 1 k and 1 d?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 9 + 10)*(-3*o + o + 0*o)*(1 - 6 - 1)*(4 + 2 - 4).\nAnswer: -504*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 58 * -3283\nAnswer: -190414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n - 9. Let x be u(7). Suppose -4*h = 3*j + x, 0*j + 4*j - 3*h = 8. Calculate the remainder when -2 + 34 - (j - 1) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**2 + 666*x - 3896. What is y(6)?\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k - 4. Let c be u(-4). Let a = -2 + 2. Put -1, a, c in increasing order.\nAnswer: -1, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-210)\/24*(-12)\/3. Let y = p + -35. Round y to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*w + 78*w - 623 = -51*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 925 + 225. Suppose 12*x - q = 482. Let b = x - 33. Calculate the remainder when b is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*6 - 1\/1. Suppose 0 = 3*g - 9, g = 2*i - 2 + 1. Suppose -i*n - 15 = -5*x, z*x - x - 12 = -n. Solve n*h - 3*h - 9 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 220, 176, 134, 94?\n\"Answer: i**2 - 47*i + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 5*t + 2. Let h be f(4). Let j = 30 - h. Solve -2*m - j = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*q + 3*q - 912. Let h be -1 - (1 + -2)*9. What is the derivative of -q + 8 + 2 - h*g wrt g?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -3.754?\nAnswer: 18.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 3*d)*(0*d**3 + 4*d**3 - 2*d**3)*(d - 9*d + 2*d).\nAnswer: 12*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3a79be (base 16) to base 9\nAnswer: 7180770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1211924*s - 605955*s - 605965*s - 2.\nAnswer: 4*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 532, 3, 5 in ascending order.\nAnswer: 3, 5, 532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.000068 - -17. What is z rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.29435km to micrometers.\nAnswer: 24294350000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11*(-4)\/(-132)*12.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 14272.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28075*n**3 + 12083?\nAnswer: -84225*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -7*p**2 + 444*p - 1591. Calculate m(59).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9*3*-1. Let r be 1*-3 + (-1 - 1) + 8. Suppose -2*i = -5*a + r*a - 8, 3*i = -2*a - 13. Sort 1, d, i in descending order.\nAnswer: d, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*y + 312*y - 147 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47.019341384 + -162.419340847. Let x = -115.4 - q. What is x rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -546*i + 16 = -549*i + 5*q, -4*i + 37*q - 173 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.3, 48, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13500542?\nAnswer: 2, 11, 613661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242844 and 10325.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 570*w**5 - 554*w**2 wrt w?\nAnswer: 34200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 317859151545.\nAnswer: -317859151544.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, r: 6, i: 3, m: 3, w: 3}. Give prob of picking 1 q and 2 i.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 3, -2, -4 in decreasing order.\nAnswer: 15, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n - 1. Let a(r) = 4*r + 0*r - 2 - 2*r. Let q(g) = 1. Let j(p) = a(p) + 3*q(p). Give -4*h(b) - 5*j(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Suppose -1 = -l + r. What is the third derivative of -u**3 + l*u**3 - u**2 - u**2 wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 3 + 3)*(-1 - 1 - 2) - f**2 - 2*f**2 + f**2 + 4*f**2 - 2*f**2 - 4*f**2 + f**2 - 5*f**2 + 2*f**2 + (0 + 3 - 2)*(0*f**2 + 3*f**2 - 4*f**2).\nAnswer: -11*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1470332 by 8.\nAnswer: -367583\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - (-1 + sqrt(2)*3)) + (sqrt(88)\/sqrt(4))\/sqrt(11) + (1*sqrt(1210) - sqrt(1210))\/(sqrt(80) + (sqrt(80) - -1*sqrt(80))))**2.\nAnswer: -2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*p + 3 + 0 = 0, -2*u = -p - 2. Let k(f) = -4*f**3 + f**2 - 3. Let v(j) = -3*j**3 - 3. Let b(x) = 4*k(x) - 5*v(x). Is 12 a factor of b(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 8030?\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 4*f - f**2 - 6*f**2 - 3*f**2 - 4*f**2 + (0*f - f - f)*(-f + 1 - 1).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -27*x + 2096 + 9266. Does 26 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 3:06 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 128, -0.5 in descending order.\nAnswer: 128, -0.05, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 1 - 8 = -i, 0 = u - i + 3. Suppose -27 = -u*o - l, -3*o + 3*l - 36 = -6*o. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 280548 and 31104.\nAnswer: 242393472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 4)*(24*a - 3373*a - 433*a)*(2 - 4 + 0) to the form t + r*a and give r.\nAnswer: -15128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 37*n + 3973. Give u(-108).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m - 6*m)*((2 + 0 - 4)*(2 - 1 + 1) + 2 + 3 - 4 + (2 + 1 - 2)*(-2 + 0 + 1))*(-4 + 4 + 2*m).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 808*w**4 - 1030 with respect to w.\nAnswer: 3232*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - d - 2)*(0 + 2 - 1) + 2*d - 2*d - 2*d + d - 3*d + 0*d + (2 - 4 + 1)*(2 + d - 2) - 2*d + 1 - 1 + 3*d + 0*d - 5*d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50)\/(-60) - (-1)\/6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7696 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 14. Let r be (-7 + b)\/(9\/6). Is (-4 - r) + (167 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 6*q**2 + q. Let a(c) = -c - 10. Let d be a(-9). Let n be x(d). Suppose 3*t = 5*f + 25, n - 1 = -2*f. Solve -4*s + 7 + t = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -279, -6418 in decreasing order.\nAnswer: 4, -279, -6418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -197\/6. What is the nearest to z in 1, 0.3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 361751 = 71164. Find the first derivative of -9 - 26419*p**2 - 15 + f*p**2 + 93*p**3 wrt p.\nAnswer: 279*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*2 + sqrt(10)\/(sqrt(2) - sqrt(18)))**2.\nAnswer: 3645\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 1805*v**3 + v**2 + 1806*v**3 - 2*v**2 - v**2. Let n(u) = 5*u**3 - 3*u**2. Give -6*c(x) + 2*n(x).\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g - 120. Is 15 a factor of k(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 174, 336, 496, 654?\nAnswer: 810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + 4*k + 78, -4*n - 11*k = 439 - 249 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/46 in -2\/5, 8, 10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 25 = -2*j - 5*c, -4*j = -2*c - 32. Suppose -3428 + 1006 = -j*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13636?\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1821 + -12750\/7. Which is the nearest to 1? (a) 2\/7 (b) x (c) 15 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0.1762398.\nAnswer: 4.1762398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5942, 5895, 5812, 5687, 5514, 5287, 5000?\n\"Answer: -z**3 - 12*z**2 - 4*z + 5959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, 119, 1022, 2285?\nAnswer: 3908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 + 64. Does 10 divide (50\/(-4))\/5*5380\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2055 (base 10) in base 13?\nAnswer: -c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddxddddddxxxxddddd. Give prob of sequence ddx.\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**2 + y. Suppose -12*z = -22*z - 10. What is t(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3732176 by -14.\nAnswer: 266584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from iivgigiviffggvvhhgv.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/131, -14\/3, -2\/19, -13?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s - 20 = 49*s. Factor 2*c**4 + 12*c**2 + 3*c**5 - 6*c**4 - 5*c**s.\nAnswer: 3*c**2*(c - 2)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 2*z**2 + 4*z - 4. Let r = 0 - -5. Suppose -7 = 4*i - 7*i - 2*f, 5 = -r*f. Let j be y(i). Is j > 6\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 0, 4*i + 5*y = -0*y + 432. Suppose 0 = 4*h - 25 - 7. Let o be (i\/h + -4)*-1. Is -10 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15180*p**2 + 20612.\nAnswer: -30360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58159061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1015 - -893. Which is smaller: -0.1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 610655 and 645.\nAnswer: 78774495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.06 (b) 2\/9 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -1, 2237, 18.169 in ascending order.\nAnswer: -1, 2, 4, 18.169, 2237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -105037869.2 + -1013\nAnswer: -105038882.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -42. Suppose 10*s = k*s + 25. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -37. Let k be -1 + 92 + h - -3. Suppose 3*f - 21 = -3*b + k, 3*b = 3*f - 99. List the prime factors of f.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - t - 4 = 0, 5*w = -2*t - 0*t - 5. Let p be (3 + -2)\/(w\/(-2)). What are the prime factors of (p\/6)\/((-1)\/(-39))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 14*j**2 + 15*j + 24. Calculate z(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154460 != 154462?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 844, 1583, 2322, 3061, 3800?\n\"Answer: 739*b + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -2. Let h be -13*2921\/(-2093) - 18. Put s, h, -5\/2 in ascending order.\nAnswer: -5\/2, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*d + 1113, -5*p + 5*d = -334 - 2511. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 24*w**2 - 89*w + 94. Calculate the lowest common multiple of 10 and j(-27).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 36*a**2 - 122*a - 188. Determine r(32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25915 + 78921 + 3*u - 25919 - 27087.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*-1)**2 + sqrt(12)*-2 - 2*(-2*sqrt(768))**2.\nAnswer: -5844 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.2, 5, 2\/693, 3, 9 in increasing order.\nAnswer: 2\/693, 0.2, 1, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in decades?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-9) - 76\/(-342). Solve -4*j - 20 = o, -6*d - 14 = -5*d + 2*j for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 126 and 3710?\nAnswer: 33390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - h = 38, -h - 4 = -f - 2*h. Let i = -181\/28 - -40\/7. What is the closest to f in i, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-3) + (-4)\/2. Suppose -7 - 5 = -a + 3*r, -g*a = -2*r - 4. Suppose -p = -2*y + 5*y + 13, -3*y = 2*p + 14. Sort p, 5, a in increasing order.\nAnswer: a, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -141.525 + -1.475. Which is the nearest to 0? (a) -0.1 (b) -0.01 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - m**2 - m - 11. Let a be z(0). Let j(k) = 2*k - 4. Let s(i) = 10*i - 20. Determine a*j(q) + 2*s(q).\nAnswer: -2*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1152.6 - -1153. What is the second smallest value in i, -2\/21, -1, -556?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 b when three letters picked without replacement from {l: 3, o: 1, u: 1, b: 2, e: 6}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23109637403 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 0*d**3 + 0 - 7*d - 1\/12*d**4 + 0*d**2 + 11\/30*d**6 + 0*d**5. Find the third derivative of u(j) wrt j.\nAnswer: 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 + 16*b + 17. Let r be q(-7). Calculate the greatest common divisor of 2 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -620800 rounded to the nearest ten thousand?\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1486 in 6, -1\/10, 0.5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 10 = 4*o. Let j = o + 4. Calculate the lowest common multiple of j and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -403, -603, -799, -991, -1179, -1363?\nAnswer: -1543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**3\/3 + 104*n**2\/3 = 0. Calculate n.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -3*k. Let n = -206 - -214. Let p be (n\/(-16))\/((12\/32)\/(-3)). Sort -5, k, 2, p.\nAnswer: -5, k, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -0.3 (b) 0 (c) 3\/5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64314 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 30. Let d be -1 - -1*(-1 - -2). List the prime factors of m(d).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00339061 rounded to five decimal places?\nAnswer: 0.00339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*n + 12, -2*u = -n + 2 + 3. Suppose -n*c - 9 = -3*j, -3*c + 0 = -3. Solve 3*f + 10 = -m, -4*m = j*f - 3*f - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 3. Suppose 0 = i - p*q + 1 + 2, 5*i = 5*q + 15. What is the greatest common factor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.04160677 or -0.14?\nAnswer: 0.04160677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4575 is divided by 305.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3479.0079 times -4\nAnswer: 13916.0316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or 8038?\nAnswer: 8038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, m: 1, d: 6}. What is prob of sequence odmo?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 6:05 PM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4302950?\nAnswer: 2, 5, 41, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 + 0*h**2 + 4*h**2. Let a(c) be the first derivative of c**4\/24 - c**2 + 2. Let y(w) be the second derivative of a(w). What is x(y(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 409, -7 in decreasing order.\nAnswer: 409, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4431 + 0?\nAnswer: 4431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 20\/(-30)*657\/(-2). Let b(j) = -130*j**2 + j + 1. Let l be b(-1). Let z = n + l. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(210)\/(sqrt(5)*3))\/sqrt(6) + sqrt(77)\/(sqrt(44) - sqrt(11)) + -3).\nAnswer: -16*sqrt(7)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - -0.8. Suppose 0 = -4*r - 4*n + 32, -2*n = -3*n + 2. Let l be 1\/6 - (-1)\/r. Which is smaller: l or k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1255*d**2 + 384 - 778 + 394.\nAnswer: -1255*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(54)\/(sqrt(54)\/sqrt(6))) + sqrt(6)\/(2*sqrt(192)).\nAnswer: 17*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.8105 to 1 dp.\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 10 - -9) + -2 + -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/2627 - 102409\/57794. Let l be 2901\/8649 - 2\/6. Let y = -77821\/9610 - l. Find the common denominator of y and v.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21 - 12\/3)\/(-1). Solve -p - t = -6*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121, 1119, 1117, 1115, 1113, 1111?\nAnswer: 1109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 1. Let y = 856 - 668. Is y\/1 - (z + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1274.4 + -1274. What is the second biggest value in -1\/4, -23.9, p?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + 108581655.2.\nAnswer: 108581653.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8972546 rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 4*l**5 - 328*l**4 + 2004*l**3 + 7792*l**2 - 45040*l + 48000 = 0.\nAnswer: -5, 2, 8, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -1 + ((sqrt(77) + (sqrt(77) - 1*sqrt(77)) + sqrt(77))\/sqrt(11) - (sqrt(7)*-2 - sqrt(7))*6) + -3.\nAnswer: -6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**2 - 21*k - 42. Let i be u(-2). Calculate the highest common factor of 190 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 5 - 6251*w**2 + 6240*w**2 + (5 - 3 + 0)*(2*w - 2*w**2 - 2*w).\nAnswer: -15*w**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*r + 16 = -172*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2185, 2210, 2249, 2308, 2393, 2510, 2665?\n\"Answer: p**3 + p**2 + 15*p + 2168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 + (-4640)\/754 - (5 - (-445)\/65).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 10877, 10928, 11007, 11126, 11297, 11532?\n\"Answer: 2*h**3 + 2*h**2 + 31*h + 10842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/7)\/((-10)\/70). Suppose -17*k - a = -35. Suppose 0 = 4*y + j - 20, -y + 4*j + 8 = 5*j. Solve 0 = 3*f + y + k for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u - 34 = 38. Solve -100 = -u*h - 103 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 231\/12 - (-2 + (-9)\/(-4)). What is the greatest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8\/291 + -889\/582. Suppose -4*o + 40 = -24. Suppose 5*w = w + o. What is the closest to -2\/7 in w, t, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*s**3 - 22*s**3 + 11*s**3)*(1 - 4 - 1).\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**2 - 5*m. Let j(w) = 6*w**2 - 3*w. Let l(r) = 5*j(r) - 3*z(r). Factor l(n).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/2 - 56913*x**2 - 2048139*x\/2 - 4607766.\nAnswer: -3*(x + 9)**2*(x + 37924)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(4\/(-6)*(-4)\/8). Is -20*4\/((-48)\/y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*u + 3*t, 4*t - 13 - 5 = u. Let h(a) = 16*a + 8. Let i be h(u). Which is bigger: i or -27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9466905, 37867561, 85201995, 151470213, 236672221, 340808025, 463877631?\nAnswer: 605881045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 3)*(2*r - r - 3*r) + (2 + 2 - 2)*(-282*r + 310*r - 1401*r).\nAnswer: -2744*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.276076912 to three decimal places.\nAnswer: -4.276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42675784, 42675777, 42675770, 42675763, 42675756, 42675749?\n\"Answer: -7*y + 42675791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 69359318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 4*y - 114 = 0, 5*y - 43 = -n + 2*y. Suppose r = 3*r - 8. Calculate the least common multiple of r and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*r + s - 9, 13 = r - 2*s. What is the tens digit of (-4)\/(r\/6*(-3)\/20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326568 a multiple of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, z: 1, r: 1, x: 6}. What is prob of sequence xxr?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.69 times -0.7?\nAnswer: 1.883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + r + 0*r = -v + 159 - 496, 4*r = 340 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5468092529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -383 + 384. Which is the closest to k? (a) -3 (b) -7\/4 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let m(z) = -z**2 + 8*z + y*z**2 - 2*z**2 + 3. Let o be m(7). Solve -2*h = -0*h + o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1874168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-4)\/36)\/((-3)\/102)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1056, 0.1, 0.5, 0.0382 in decreasing order.\nAnswer: 1056, 0.5, 0.1, 0.0382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.2206ml in litres?\nAnswer: 0.1972206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000054224806 to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (33\/(-9) + 4)\/(5\/45). Let y be (2\/(-4))\/((-2)\/4928). Suppose 0 = -3*j - 3, -2*s = 3*s + r*j - y. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1190 - 0.2\nAnswer: -1190.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2373\/315 - (-16)\/60 and -8\/9419.\nAnswer: 47095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1290566?\nAnswer: 5\/1290566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 899969197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 42 = -2*n + 16, 5*l = -2*n + 38. Let a = 51 - l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**4 - 3*b**4 + 0*b**4 + (0*b + 4*b - 2*b)*(2*b**3 + 4 - 4) - b**3 + b**4 + b**3 - 60*b**2 - 9*b**4 + 60*b**2 + 4*b**4 - 2*b**4 - b**4.\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-2))\/((-37 + 543)\/(-23)) + 21\/(-72)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 68*b + 496. Let w be l(-4). What is the highest common factor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 4*a + 5, -3*f + 20 = -a + 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 3:27 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3*g + 18, -4*g = 5*v - 40500024. Round v to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61*s**5 + 363*s**3 + 9734*s**2 - 4*s wrt s.\nAnswer: -3660*s**2 + 2178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3269\/2 + 1605. Let t = 30 + v. Factor 0 + 1\/2*w + t*w**2.\nAnswer: w*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 334595 = 200763. Let o = c + -372321. What is o rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 191*n - 1672. Let u be o(8). Let f(x) = x**2 + 10*x - 62. Calculate f(u).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1872, 1686, -0.1, 4 in descending order.\nAnswer: 1872, 1686, 4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j - 3 - 1201*j**2 + 1201*j**2 - 2*j**3 - 3 + 4 in the form c*j + n*j**2 + w*j**3 + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*a - 8 = -0*n, -4*n + 2 = -a. Suppose 0*t = 2*t - 4. Solve n = -t*j - 3*j - 20 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 5*k**2 + 18*k - 6. Let x(i) = i**2 - 3*i + 1. Let w(c) = 6*r(c) + 34*x(c). Let l(y) = 17*y**3 + 11*y**2 + 18*y - 5. Give 4*l(d) - 11*w(d).\nAnswer: 2*d**3 + 6*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -6 + 7 + 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 102, 1\/4, 0.5.\nAnswer: -0.3, 1\/4, 0.5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2826 + -2674. What is the remainder when u is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22182 is divided by 2604?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 11:13 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 6*i**2 + 9*i - 11*i + i**2 + 254*i**3.\nAnswer: 254*i**3 - 5*i**2 - 2*i - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express d**4 - 29*d**3 + 106*d**2 + 1 - 51*d**2 - d - 58*d**2 as c*d**2 + l + m*d**3 + x*d**4 + t*d and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-85)\/11*2\/(-10604). Let t = -631175477\/145805 + v. Let s = -4333 - t. What is the common denominator of s and 99\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61242 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/2 + 14253*p + 67716003\/2.\nAnswer: 3*(p + 4751)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24980464*i - 399*i**2 + 24980464*i.\nAnswer: -399*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594 and 8910?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rsm when three letters picked without replacement from {y: 2, m: 1, r: 2, o: 1, d: 2, s: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*l**3 + 35074325*l**2 + 19131477*l + 2608839.\nAnswer: -(l - 289871)*(11*l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*((q\/(q*q\/(q*q**(-9))))\/q)\/q)\/q)**(-6\/11) assuming q is positive.\nAnswer: q**(60\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -70.1 times -4?\nAnswer: 280.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k + 28 + 60*k**3 + 4*k**2 - 119*k**3 + 5*k + 57*k**3 in the form w*k**3 + m*k + l*k**2 + g and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0465539 + 0.039?\nAnswer: 0.0855539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 26. Let l(r) = -r - 1. Let w(i) = l(i) + q(i). Is 29 a factor of w(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24709 is divided by 1235.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*o + 3. Let x be 24\/(-15) + 4\/(-10). Let d be (1*x)\/((-4)\/22). Solve 0*j + 2*j = 4*b - 2, 4*b = o*j + d for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1466239207?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11221\/9 + -3779\/3. Are -12 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -96 + 152 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 3*u. Let f(l) = 22*l. Let c(o) = 7*o. Let s = -84 - -79. Let j(v) = s*f(v) + 16*c(v). Give n(j(z)).\nAnswer: 4*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from klmmkma?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517478731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 395*v - 293*v + 1671 - 141 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-six fifths of a litre?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 0. Let g(z) = z**3 + 6*z**2 + 3*z - 7. What is the smallest common multiple of g(-5) and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3781)\/95 + 1\/(-5) + -139 + 131?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + (-1 - (0 + -2)) + -129 + 174 + -35?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 468.000267 + -468. Round v to five decimal places.\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -50 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 11*s + 37. Calculate the smallest common multiple of 14 and z(13).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - 47. Which is the biggest value? (a) -5\/2 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 10:40 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*c*h**2*w + 2*c*i + 1740*c*w - 127*c + 2*h**2*i - 2*h**2*w + 55*h*i*w - h*w + 26*i*w - 4*w - 6 wrt c.\nAnswer: 22*h**2*w + 2*i + 1740*w - 127","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 613182 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 + 357 = 3*x. Let k(g) = -g - 2. Let o be k(-2). Suppose -d + 4*d - x = o. Is d a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, z: 7, t: 2, q: 3, h: 1, f: 1}. Give prob of sequence ztzz.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -4 - 6) + 14 + 69 + -19 + 55.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819183362?\nAnswer: 2, 41, 619, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -821593 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1187*t - 2390. Let a be o(-2). Let n = 0.06 - 0.04. Is n greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/290 and 17\/125.\nAnswer: 7250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -28648 greater than -28648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 89 + 5910?\nAnswer: 5999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 218*t + 69*t - 7462 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 161*d + 9121. What is x(203)?\nAnswer: 595","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-1*(-8)\/(-2992)) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111000100111010 (base 2) to base 14\nAnswer: a7c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64171072?\nAnswer: 2, 7, 143239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 155 = -151. Suppose 55*l - 51*l - 1841 = -5*k, -z*k + 734 = 4*l. List the prime factors of k.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.0714, 1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 + 7*f**3\/3 + 19*f**2\/2 - 3*f. Let z = 15 - 2. Does 10 divide p(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**4 - 1376*y**3 - 2*y**4 + 1362*y**3 + y**2 - 2*y**4 - y**2 + (y - 1 + 1)*(-5*y**3 + y**3 + 5*y**3).\nAnswer: -7*y**4 - 14*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjlklkjllljkljjlkj. What is prob of picking 1 k and 2 j?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -79 - -114. Is (o\/10)\/((-1)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4)*-1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 350 divide 89250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1 + 7 - 6 - 3*s**2. Let r(b) = b. Determine k(r(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8, 112, 394, 944, 1852, 3208, 5102, 7624?\n\"Answer: 15*q**3 - q**2 + 2*q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 757*r**2 - r - 1. Is t(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 8*f**2 - f + 9. Suppose -225 = -8*y + 5*y. Let m be 1\/2 - y\/(-10). Let u be p(m). Which is greater: -3\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - u - 224 = 0. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 0. Let d = x - -4. Let s = 129 - 134. Which is the smallest value? (a) d (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18543708 and 4120824.\nAnswer: 37087416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - l + 0*l)*(-4 + 0 + 2) + 6*l - 8 + 8 - 7*l - 4*l - l + (2*l - 2*l + 2*l)*(-3 + 1 + 4) + 1 - l - 1 + (l - 2*l - l)*(-1 + 1 + 1).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 59 - (29 + (33 - 5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 - 373 = -43*v. What is the closest to -1\/3 in -4\/7, -0.2, v, -4\/21?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-38)\/(-14) - (180\/105 + -2)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4)*i))**(8\/7) assuming i is positive.\nAnswer: i**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 500, 2587, 8252, 19283, 37468, 64595, 102452?\nAnswer: 152827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 5*o**2 + 6*o + 16. Let g be f(-4). Let i be ((-9)\/(-6))\/(g\/2368) - 5. Is i at most -152?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -5*z - 31. Let d be f(-6). Are -2 and d non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12671\/4 - 3169. Sort -0.5, -1\/3, 0.1, w in ascending order.\nAnswer: w, -0.5, -1\/3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2150703 and 49\/7169010?\nAnswer: 21507030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1705.7 - -1637. Let i = w + 66. Let b = -2.6992 - i. What is b rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221022.\nAnswer: 2, 3, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 10*k = 1008. What is the greatest common factor of k and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = 0. Suppose 3 - 1 = z. Solve q - 4 = z*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286116 divided by 422.\nAnswer: 678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*p**2 - 26*p**3 - 32*p**2 + 5*p**4 - 4*p - 13*p**4.\nAnswer: -2*p*(p + 1)*(p + 2)*(4*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10*((-28)\/(-8))\/7. Suppose -4*r = -j - 172, 34 = 3*r - o*j - 78. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 3, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001001000111110 + -110001100?\nAnswer: 100001000010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**3\/12 - 3*g**2\/4 - 5*g\/4 - 40. Suppose f(b) = 0. Calculate b.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 585*b - 581*b = 0. Suppose b = 21*k - 79*k + 2088. Calculate the greatest common divisor of k and 336.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 5*b - 4. Let g be a(-9). Suppose 12*w + 14*w = 0. Suppose w = -4*v + 8, 11 - 17 = j - 5*v. Calculate the highest common factor of g and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10815.82699998 + 10816.427. Let t = 0.6 - n. Round t to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2275 (c) -3\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14565 = -3*a - 2*a - 2*z, 2*a - 2*z = 5826. Suppose -2*l - l = -2*b + 1169, 0 = 5*b + 2*l - a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1257456 and 16951.\nAnswer: 1541","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1333972*d**3 + 22227*d**2 + 6*d - 1?\nAnswer: -8003832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 17\/2. Which is smaller: -2\/3 or b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-404)\/505)\/(4\/(-10)). Let s(q) = -14*q. Give s(m).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*d + 44 = 8*d, 4 = -d. Let v = b + -18. Let p(r) = 5*r**3 - 2*r**2 + 3*r - 3. What is the tens digit of p(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 4*i. Let x(c) = c**2 + c. Calculate -g(a) - 6*x(a).\nAnswer: -5*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2286.4 in -1\/45, -4, 1, 2, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*r - 2*z + 13 = 0, -2*z - 5 = -5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*a + 8. Let k(o) = 190001*o + 5. Let n be k(a). What is n rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-48)*-211534 + 62\/496?\nAnswer: 3, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 14*q**3\/19 + 290*q**2\/19 - 392*q\/19 + 88\/19 = 0.\nAnswer: -22, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2417117028?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(10\/(-10))\/(-3*1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 380623?\nAnswer: 4186853","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n + 12883912. Let d(w) = -3*w**2. Give z(d(h)).\nAnswer: -12*h**2 + 12883912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 1276398.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 93201334164 + 93201334164.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes before 8:28 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -i**2 - 3*i + 0*i - 1 - 3*i. Let d(j) = 2*j + 5. Suppose 4*r = -25 + 9. Give r*c(a) - 5*d(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/4252 and -53\/76536.\nAnswer: 76536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t = -10*t + 3*m + 11835, -2*t + 4*m + 11834 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -37. Let w = n - -67. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 417*d**4 + 83*d - 1286*d**4 + 634*d**4 wrt d.\nAnswer: -2820*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*y + 258 + 56 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9233493mg to kilograms.\nAnswer: 0.0000009233493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214073996 divided by -3604.\nAnswer: 59399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**2)\/f*f**(1\/3)*(f\/(f*((f\/f**0*f)\/f)\/f))**(-1\/16)*(f**(-5)\/(f**(-1\/6)*f))\/((f**(3\/4)\/f)\/f*(f*f**1)\/f) assuming f is positive.\nAnswer: f**(-13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -3 + (11 + -36 - (-90 + -3))?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 17*m - 882. Calculate z(52).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 116746 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**4\/8 + b**3\/3 - b**2\/2 - 3*b. Let a(g) be the first derivative of t(g). Differentiate a(c) wrt c.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -0.1. Let w be (-483)\/18 + (-8)\/4. Let c = w - -94\/3. Which is smaller: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssrsrrrrvrvr. What is prob of sequence vrrs?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 6 + 9 + -34?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgg when three letters picked without replacement from wggetgregtteege.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 2*m**2 + 147*m - 148*m to the form g + a*m**2 + v*m and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90110 and 270.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 5*z + 60, 4*p - 8*p - z = -10*p + 8 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfqmfspdd. What is prob of sequence pq?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 223862013*m**5 - 649867690*m wrt m?\nAnswer: 4477240260*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 28, 126.\nAnswer: -4, 28, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a0b2 (base 14) in base 6?\nAnswer: 41143152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 696 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-270))\/(-1 + 21\/18)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190.75488 months to years.\nAnswer: 15.89624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -20*g**2 + 82*g - 261. Let c(d) = -7*d**2 + 27*d - 87. Let i(o) = -17*c(o) + 6*f(o). What are the prime factors of i(25)?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**0*o)**(-15)\/(o\/o**3*(o**(-2\/9)*o)\/o)*(o**5*o\/o**5)\/(o*o**(-1)*o*o**(-1)) assuming o is positive.\nAnswer: o**(-376\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6564264*r*t**3 - 3228458*t**3 wrt r?\nAnswer: 6564264*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/16)\/((-124124)\/6667232).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 18, u: 1}. Give prob of picking 3 q.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/455 in -3, -0.09, -7?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + (-1 - -8) + -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 + 11*h + 14. Let u = -7 + 18. Let d be g(u). Is d bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421479041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-8)*a\/((a**(-3\/4)*a)\/a))\/(a**(2\/13)\/(a*a**(-3)))*(a\/(a**(2\/7)\/a)*a)**(2\/29)*a**(2\/3)\/(a*a*a**1) assuming a is positive.\nAnswer: a**(-270761\/31668)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*-1*1\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 7:27 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -8*v**2 + 3*v + 2. Let w(x) = -25*x**2 + 10*x + 7. Determine -7*f(q) + 2*w(q).\nAnswer: 6*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 71925 and 6650?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 8. What is the highest common factor of 40 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 1644*g - 665. Is w(27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-57881)\/7844 + (-7)\/(28\/4). Let h = p - -438\/53. Calculate the common denominator of h and 13\/22.\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2)*h\/(h*h**8*h))\/(h**(27\/4))**(3\/2) assuming h is positive.\nAnswer: h**(-161\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313420174?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2. Let k be (64\/(-96))\/((-2)\/24). Let a be (19\/(-76))\/((-1)\/k). Let y(l) = l**2 + 1. Calculate a*y(f) - h(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 3. Let p be y(7). Suppose -p*w - 18 = -4*z - 2*w, -1 = 2*z - 3*w. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4*o + 1078. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 2*p**3 + 3*p - 3*p + p as l*p**2 + z*p + v + w*p**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2) - ((-28)\/8)\/7. Let z = -615 + 3061\/5. Let q = 3 + z. Is q greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72890734?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 10:22 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16471 and 9464.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-3)*(-1056)\/(-64). Calculate the greatest common divisor of i and 682.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a - 2. Let y = 3 - 1. Let f(w) = -2*w - y - 5 + 6. Let x(b) = 13*f(b) - 6*h(b). Give x(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + (sqrt(117) + 1)**2*-4 + -1 + (-2*sqrt(234) - sqrt(26))\/(sqrt(22)\/(sqrt(11) + sqrt(99))).\nAnswer: -471 - 52*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1110649 and 5229755.\nAnswer: 10783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 5*j - 1. Let a be v(-5). Let o(q) = -4 + 2 + 2*q**3 + 0*q**3. Let k(x) = x**3 - x**2 - 1. Let y(r) = a*k(r) + o(r). Determine y(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 2*w**2 - 6. Suppose 0 = c + 5. What is the units digit of k(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-10)\/(k*k**(4\/15)\/k) assuming k is positive.\nAnswer: k**(-154\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7294, -65, -1 in decreasing order.\nAnswer: 7294, 2, -1, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g + 16 = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1798\/9 - 200. Put 5, 0.5, f in descending order.\nAnswer: 5, 0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/((-252)\/(-16)))\/(-2))\/(110\/154).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*i - n, -5*n = -5 - 5. Solve -i*f = -0*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12740*o - 12954*o - 12770*o + 38593*o.\nAnswer: 129*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -364 divided by 91.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/1023 - -1118\/1023. Find the common denominator of 2 + -1 - (-6)\/(-54) and f.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 1. Let s be (0 + 1 - -1)*(-131)\/(-262). Let c(a) = -2*a. Let k(x) = s*c(x) - 2*j(x). Calculate k(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 5:28 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118618650 and 4050?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -49876628.\nAnswer: -1\/12469157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*f + 34*f + 117*f as d + x*f and give x.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -19. Let l(i) = -j*i + 14*i - i. Let c(t) = -t**2. Give c(l(v)).\nAnswer: -121*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = 167*r + 82 - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**4 + 2*z**4 - 2*z**2 - z**4 + 1 as j*z**2 + r + h*z + t*z**3 + l*z**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 37*z**2 + 210*z + 11866. Determine s(-32).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4.6, 5, 0.3, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13115418*s + 13876225 wrt s?\nAnswer: 13115418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 1*sqrt(77))*3)\/(-3*sqrt(112)).\nAnswer: -sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1442 + 5719\/4. What is the common denominator of i and 7\/800?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 772, 3, 308, -2, 2.\nAnswer: -2, -1, 1, 2, 3, 308, 772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n + 12 = 0. Let p be (-4)\/(37\/13 - n). What is the highest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 5*d - 2*w, 5*d + 3*w - 25 = -2*w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*i**3 + 880*i**2 - i + 37763?\nAnswer: -6*i**2 + 1760*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, -9.912, 4\/3, 0, -1\/8 in increasing order.\nAnswer: -9.912, -3, -1\/8, 0, 0.1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/8)\/h**(1\/9))**(1\/13) assuming h is positive.\nAnswer: h**(-17\/936)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.45, -0.2, 1\/6, 5, 85, -4 in ascending order.\nAnswer: -4, -1.45, -0.2, 1\/6, 4, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 40120*y**2 + 201722346*y + 5217695028.\nAnswer: 2*(y + 26)*(y + 10017)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 59569 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 1\/3*n**3 + 0*n + 6 + 1\/6*n**4 + 1\/30*n**5 + n**2. Let s(l) be the second derivative of f(l). Solve s(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1 and -78638315006361.\nAnswer: -78638315006362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((3\/(-4))\/(3\/2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2, -5*x + 9*x + 2*c - 260 = 0. What is the remainder when x is divided by 25?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19092986713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -286 plus 96.1?\nAnswer: -189.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-14) + (-6)\/28. Which is the smallest value? (a) y (b) -3\/7 (c) -3\/4 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/34)\/(28\/581) and -125\/18.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y**4 + 2050*y**3 = 0. Calculate y.\nAnswer: -410, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, v: 4, p: 4}. Give prob of picking 1 p and 1 u.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63306?\nAnswer: 2, 3, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304 + -31. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37279427715 - -21?\nAnswer: 37279427736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/5)\/(8\/(-280)). Suppose -3*q + 20 = 2. Let s = q - c. Round s to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 8512?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 10917900 divided by 3639300?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14704749767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 7:46 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i = -0*i + 13. Is 36 + (1 - i) + 2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/13 (b) -4 (c) 1503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5 (c) -2\/9 (d) -1.91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 - 1 - 14)*(-i**2 + 4 - 4)*(-2 - 2*i**2 + 2).\nAnswer: -62*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 3*z**2 - z. Let o be q(-3). Suppose 3*l + 0 - 15 = 0. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/150468 and 97\/180?\nAnswer: 2257020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(11 + -9) + 3. Suppose d*v = -17*v + 628394. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3250 and 17\/273975.\nAnswer: 2739750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 8?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4*2)\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 36.\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759035817.\nAnswer: 3, 84337313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -1.74053?\nAnswer: 0.522159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 13*u - 1. Let f(q) = -q**2 + 9*q - 8. Let w be f(6). What is the remainder when v(w) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10520 = 4*v, -19*v - 5*n = -15*v - 10514. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-3)\/12). Suppose -30 = -3*f - 5*m - 0, -2*f + 4 = -k*m. Let y be -1 - (0 - -1 - -3). Put 3, f, y in descending order.\nAnswer: f, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 12 - 8, 2*o - 6 = -2*n. Let f(x) = 196*x**2 - 3*x + 9. Let b be f(n). What is the greatest common factor of 17 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1138 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -37*-0.034\nAnswer: 1.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -254 + 26?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/(m*((m\/m**(-6))\/m)\/m)))\/(m\/(m\/(m**2\/m*m))))\/(m**(-4)*m**5\/m))**(-2\/47) assuming m is positive.\nAnswer: m**(-8\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 5*a**2 + a + 1. Let o be d(5). Let f(n) = -4*n + 1 - 7 - 2*n - n**2. Let l be f(-4). Solve c - p = -0*c + 4, o = 5*c + l*p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30085364 at most as big as -30085364?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12946?\nAnswer: 2, 6473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/42)\/((-14)\/(-56))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2173617, -4347228, -6520837, -8694444?\n\"Answer: y**2 - 2173614*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-12)\/(-126) + (-140)\/273?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*-1)\/sqrt(7))**2 - (1 + 2 + sqrt(13)))*-1 + ((sqrt(26)\/sqrt(2))**2 + -2 - ((sqrt(13) + 0)*-2)**2) + -3.\nAnswer: -54 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*f**3 - 477*f**2 - 1713*f + 693 = 0. What is f?\nAnswer: -3, 7\/19, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*j - 9640 = -1025 + 4517 for j.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 63484*g + 0 - 63501*g.\nAnswer: -17*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 10:39 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 59*a**2 + 3*a + 2. Let l be w(-1). Let b = l + -15. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -337975\/3 + 112659. Factor 0*q - 1\/3*q**2 + 0 + j*q**3 - 1\/3*q**4.\nAnswer: -q**2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4668948 divided by 10172\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + o + 28. Suppose 0 = -w + 30 - o. Let h be w\/8 - (-2)\/16. Solve -2*p = h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/(-105) + (-795)\/7*5. Is -564 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 171505, 171494, 171475, 171448, 171413?\nAnswer: 171370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -37\/30*g**6 + 0*g**4 - 2*g + 0*g**5 + 0 + 0*g**3 + 16*g**2. Find the first derivative of p(t) wrt t.\nAnswer: -148*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14373\/1340 < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 145?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -40*r**5 + 13068*r**4 - 888500*r**3 + 15879824*r**2 + 59864640*r - 74868992 = 0.\nAnswer: -4, 1, 44, 2417\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 24*y + 208 = 0. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -11110111101010000110?\nAnswer: 11110111101010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -180139\/2910432 + 75\/2272. Calculate the common denominator of -76\/27 and h.\nAnswer: 11529","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (4 - (-2 - -1)) - (-14 - -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, 9, 324\/7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -39 in ascending order.\nAnswer: -39, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 27373441, 5 in descending order.\nAnswer: 27373441, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108)\/(-42) - 2)\/((-31)\/(6944\/960)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5767\/769 greater than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 105 + 14*m - m - 3*m - 48 - 50 as u + i*m and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*g**4 - 40*g**3 - 25*g**2 + 30*g.\nAnswer: 5*g*(g - 3)*(g + 1)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*s = s - 2, 0 = 5*z - 4*s + 5. Let n(t) = -3*t**2 + 4*t. Let r be n(-5). Let i be (8\/r)\/((-20)\/50). Which is greater: z or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.155652 to 2 dps.\nAnswer: 2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 177048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 326592449?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6007, -6358, -6687, -6982, -7231, -7422, -7543, -7582?\nAnswer: -7527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 168. What are the prime factors of l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -47 - -1a92?\nAnswer: 1a49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 44398 = 2*a, 0 = -4*a - n + 50140 + 38612. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13095888 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - (-107)\/5. Let l be (-5 + 87\/21)*-7. Let j be 14\/(-42) - (-32)\/l. Solve 25 = 3*v + 4*u, z = v + j*u - 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/355796 and -89\/78.\nAnswer: 13876044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-1 - ((1 - 1) + 12)). Let s be 3\/(-4 + (-180)\/(-44)). Solve 5*o - s = -v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1286, -1290, -1292, -1292?\nAnswer: -1290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.6 + -13. Let b be -1*2*(-4)\/(-20). What is the nearest to b in y, -5, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14. Let q = 188 - 366. Let n = 1600\/9 + q. What is the closest to z in -5, n, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52090134 divided by 6.\nAnswer: -8681689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -5*l**2\/2 + 24*l + 351. What is b(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j + 1. Suppose 0 = m + 4*m + 25, -3*m = z + 13. Suppose 5*i = z*i. Suppose -2*k + 0 + 2 = i. What is q(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/8 (b) 0 (c) 2 (d) -0.2 (e) 0.3 (f) -6 (g) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 21*g**2. Let x(k) = -17*k**2. Give v(x(w)).\nAnswer: 6069*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -2. Suppose 2*h + 3*h + 10 = -p, 0 = -2*p - 3*h + n. Let y(a) = a**3 + 8*a**2 - 12*a - 9. What is the remainder when y(-9) is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -221 + 228. Solve -6 - 1 = -c*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of b**2 + 0 - 2\/3*b**3 - 36*b. Calculate u(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 76 + 10*o**2 + 81 + 15*o**2 + 9*o - 156 to the form u*o + w + l*o**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 4*j + 4 = 3*z, z - 3*j - 1 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -14, 3\/5, -5, -25, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 140 + 140 = 0. Is s a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of h**5\/60 + 5*h**4\/24 + h**3\/3 + 2*h**2. Let z be x(-5). What is the third derivative of 4*b**4 - z*b**2 - b**4 - b**4 wrt b?\nAnswer: 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522151833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - z + z + (-4 + 4 + 1)*(0*z + 3*z - 4*z))*(z - 4*z + z).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/46179825 and 37\/16624737.\nAnswer: 415618425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -915 - -1945. Let v = l - 211. Is v a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3. Let z(i) = -4. Let v(g) = 3*c(g) + 2*z(g). Let p(m) = 2*m + 4. Give p(u) - 3*v(u).\nAnswer: 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106205089.\nAnswer: 283, 375283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-136)\/12 + 12 + 4\/3. Solve n*c - 4*q = 2, -4*q = -3*c - 0 - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.019 + -1.619. Round l to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17954138, 35908276, 53862414, 71816552, 89770690, 107724828?\nAnswer: 125678966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 22.753+-9606\nAnswer: -9583.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -226*z**2. Let b(v) = 2867*v. Give o(b(a)).\nAnswer: -1857649714*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 9:02 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = 15*o - 616. What is the second biggest value in 1, -3\/2, 1\/7, o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 436 + -282. Suppose 2*f + p = 2*z, 0 = -3*z + 3*f + f + 236. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -306 divided by -6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 2*m**2 + 1\/12*m**4 + 8\/3*m**3 + 0 - 5\/12*m**5 - 8*m. Differentiate w(q) with respect to q.\nAnswer: -50*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2211.97 + 2228. Let m = 0.03 - s. Let f = -15 - m. Which is greater: f or 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 + -2463\/10. Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*k**2 + 380 - 134*k + 134*k + 58*k**2.\nAnswer: -k**2 + 380","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (10 - 17)) + -15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5083 and 3185247?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008979587 to six dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g + 1. Let d be m(4). Suppose -d*r - 1 = -16. What is the second derivative of -4*b + 3*b**3 - 4*b**r + 5*b**3 wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17063 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 907733369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115 + -106. Let t(g) = 7 + 51*g - 44*g + 3 + y*g**2. Let j(d) be the second derivative of d**4\/2 + 5*d**3\/6 + 7*d**2\/2 + 2*d. What is 7*j(u) - 5*t(u)?\nAnswer: -3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43 - 25. Let b = n - 14. Calculate the remainder when 6 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -46*v**6\/45 - 64*v**5\/15 - 5350*v. Factor w(m).\nAnswer: -4*m**3*(23*m + 64)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -368, -1\/4, -0.1, 4\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3141*i + 2347. Let q(c) = 3141*c - 2344. Let m(r) = -6*h(r) - 5*q(r). Differentiate m(g) with respect to g.\nAnswer: 3141","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 32\/77, -1\/3, -4, -0.5, -2?\nAnswer: 32\/77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(23\/5)*s**(-3\/8)*s)**18 assuming s is positive.\nAnswer: s**(2241\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + v**2 - 4 - 3*v**2 + 4*v**2. Is 5 a factor of l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + w**2 + 1)*(6*w - 15*w - 8*w)*(0 + 0 + w).\nAnswer: -17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 - -14?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c**3\/6 + 20416*c**2\/3 + 59527219*c\/6 - 8508889.\nAnswer: (c + 2917)**2*(7*c - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*b + 51*b - 3825 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412 and 148217?\nAnswer: 592868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 861933200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 4*x - 15. Let j be z(12). Suppose -14*r = -17*r + j. What is the second derivative of 3*t**3 + 3*t**2 - t - 3*t**2 + r*t wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + (1 - 8 - -5)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -n**4\/24 + n**3\/2 + 8*n**2. Let d be a(-4). What is the highest common divisor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.52 + 0.12. Let h = 0.16 + -0.17. What is the nearest to -1 in h, i, 5\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, -26, 1.5 in decreasing order.\nAnswer: 1.5, -0.05, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + -3 - (-12 + 6 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 6*m + 3*m**2 - 4 - m**2 + 2*m**2. Let d be i(-5). Let p be d\/(-1*2\/1). Is p greater than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 11:52 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -49 times -212\nAnswer: 10388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1359 at least -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*c**2 - 2*c**2 - 4*c**2 + 14*c**2.\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13987 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 8:15 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 + 5*y - 4. Let v be x(6). Suppose -13*h + 17*h = 24. List the prime factors of (v + 1)*h\/(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -0.2, -0.73, 0.3?\nAnswer: -0.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -14795, -17\/6?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 2*z**2 - 128631243 + 128631243.\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(49))\/sqrt(7)*6.\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n - 1. Let q(t) = 2*t. Let x(c) = q(c) - w(c). Let h be x(-1). Suppose -5*a = -4*k - 16, -2*a + 3 = -k - 4*k. Solve h = o - a*o - 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*((sqrt(153)*2)**2 - sqrt(153))*3*2.\nAnswer: -108*sqrt(17) + 22028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 260 divide 1285180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 130*q - 2308. Let f be g(18). Suppose 0 = 3*v + 13 + 5. Is 29 a factor of f\/20*(-585)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n - 7. Let t(r) = -11*r + 1. Suppose -3*c = 2*c + 10. What is the remainder when t(c) is divided by f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/91 + 179\/273. Let g(r) = -r**3 - 2*r**2 + 245*r + 6. Let k be g(0). Sort -4, n, k, 0.2 in decreasing order.\nAnswer: k, n, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3078 and 0.3?\nAnswer: 923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-8)\/10)*2\/20\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24897 - 46994 = 2744*s - 265*s for s.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -28071200 rounded to the nearest 1000000?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + v)*(-36988*v + 22388*v - 12971*v + 5090*v - 32723*v - 58269*v).\nAnswer: 113473*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7809 + -7802. Solve 4*q + 0*h - v = -h, 2*q + 5*h = -19 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + 4 - (1 + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + -2)\/(-11 + 9). Let p be (831\/(-9))\/(f\/(-15)). Suppose -4*g + p = g. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 8. Let o be a(8). Solve -2*q + 20 = -5*s, -3*q - 4*s + s - 12 = o for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/42*163\/56072*258.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -62249*k + 560227. Determine u(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -16 - 2 - (-3 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Suppose w = 2*k - 2*o - 24, 1 - 52 = -4*k + o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -30?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w + 240 - 2*w - 8*w - 13*w - 239.\nAnswer: -25*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 152 * 33950\nAnswer: 5160400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 14*m**2 - 10*m + 13. Let z(t) = 15*t**2 - 11*t + 12. Calculate -8*l(f) + 9*z(f).\nAnswer: 23*f**2 - 19*f + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203280821, 406561646, 609842471, 813123296, 1016404121?\nAnswer: 1219684946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578892 is divided by 700?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 30. Which is the biggest value? (a) 5 (b) 1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 129087552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -20 + 3 + 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10)*-3 + 1004\/(-10). Let k = -104 - v. Let h(r) = -11*r**3 + 14*r**2 - 8. Let m(b) = -4*b**3 + 5*b**2 - 3. Give k*h(d) + 8*m(d).\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 + (-840 - -872)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7073 != 1\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 + 1 = 0. Let b = 16 + n. Suppose 4*s - b = 17. What are the prime factors of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 7*k**2 + 6*k. Let i be z(6). Suppose i = 5*p - 20, 5*u - 6*u = -5*p - 121. List the prime factors of u.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/33, -2, 438 in increasing order.\nAnswer: -5, -2, 2\/33, 438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 - (-8)\/10*(-545)\/218. Suppose -8 = -5*k + 12. Find the third derivative of 4*b**2 - 2*b**2 + a*b**2 - 24*b**k - 3*b**4 wrt b.\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiivviivi. Give prob of picking 2 i.\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1111285 is divided by 52?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**2 - 1. Let m be p(-1). Suppose -4*d = -m*d + 4*u + 12, -2*d + 5*u = 11. What are the prime factors of 2*14*(-2)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -11*l + 0*l**2 - 7 + 3*l**2 - 4*l**2. Let p be k(-10). Suppose 0*t - p*t = -6. Solve -2*s = 5*g + 17, -t = s + s for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 64 (b) 32 (c) 2\/9 (d) 1\/2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337627 - 80991 = 3*g - 4*n, 3*g = -2*n + 256666. Is 22 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -9*m - 2. Let n(g) = 5*g + 1. Let k be 2\/(-2) - (-30)\/5. Give k*n(l) + 3*x(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 12) in base 6?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20195*q**2 - 2*q - 13077 wrt q?\nAnswer: 40390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 13*y + 1015. Determine s(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244*q + 14295 = 125*q + 124*q. Calculate the remainder when q is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 17*o - 373 = -21*o, 365 = 5*s + 5*o. Which is the second biggest value? (a) -4 (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**0\/f))\/f)**(-1\/8)\/(f**(2\/7)\/(f**(-1)\/f*f)) assuming f is positive.\nAnswer: f**(-79\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l + 6889 = 409. Is l a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105, 272, 437, 600, 761, 920?\n\"Answer: -o**2 + 170*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 677795842.\nAnswer: 2, 31, 43, 97, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 123174 and 34614?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.4, 3, 0.7 in ascending order.\nAnswer: -1\/2, 0.4, 0.7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 780911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7766710 divided by -613.\nAnswer: -12670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -4. Let g be a\/(-2)*-2*3. Let o be 6\/(-4)*2\/g. Is 1 != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 11?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 852 divide 212356740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31 and 38812248?\nAnswer: 38812248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (67 + -53)\/((-1 - 1) + 1)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y - 5*y - 3*y + (0 + 3 - 4)*(-1 + 1 - 2*y) + (6 - 4 + 3)*(-3*y + 0*y + 2*y).\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3351722 and 292.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 191930171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 10:12 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - -446. Is h a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 282 - 282.000109. Round g to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4)\/((-11)\/836). Let r = 21 - k. Suppose -f = -2*q - 54, -3*f - r*q = -4*q - 154. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754475 divided by -16.\nAnswer: -754475\/16","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2\/9, -37, -1\/10, 0.095, 7 in descending order.\nAnswer: 7, 3, 2\/9, 0.095, -1\/10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*p + 149*p = -5579. Let s = p - 489. Is s a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h - 2113 + 2*h - 71*h**2 - 2*h + 5096*h**2 - 184*h**2 wrt h?\nAnswer: 9682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -149\/5, 63\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 627022*w**4 - 676380*w**2 wrt w.\nAnswer: 15048528*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 43 and ((-175)\/(-15) - 10) + (-4)\/6.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 16*p**2 - 99*p - 123. Let u be l(21). Let q be 10\/(1 - (-1)\/(-2)). Sort q, u, -5 in descending order.\nAnswer: q, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 11352?\nAnswer: 11331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjjj. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 3*v - 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 3 + 8 = 0, -397 = 5*g + 3*f. Let a = g + 90. Solve -3*i = 2*i + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7390612, 14781222, 22171832, 29562442?\nAnswer: 36953052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21205 - 35?\nAnswer: -21244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -340?\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37404629 to the power of 1\/3, to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 6*b**2 - 2*b - 7. Let o be p(-6). Solve 10 = o*t, -2*v - 2*t = -3*v - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, e: 3, w: 3, j: 2, o: 5}. What is prob of picking 1 w and 2 r?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 2)*57 + 3. Suppose 0 = 2*f + 4*v + v - g, -5*v - 275 = -5*f. What is the greatest common divisor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*b = -283627 - 176444. Is b a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 4*g - 3, 2*g - 2 = j + 1. Let r = -11202 + 11207. Which is the fourth biggest value? (a) 38 (b) 0.2 (c) g (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000525120684 rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9591.88 + 0.045\nAnswer: -9591.835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j + 3*j + 0*j. Let k(w) = 118397606 - w + 0*w + 13*w - 118397605. Determine k(o(y)).\nAnswer: 48*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.2607 - -0.266755. Round g to four decimal places.\nAnswer: 0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 3*h**4\/2 - 4*h**3\/3 + 4*h**2 - 12*h + 7. Let x be y(3). Let g = -139 + x. Let r(m) = 5*m**3 + m**2 + m + 1. Determine r(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 divided by 59302\nAnswer: 55\/59302","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974151823 to the power of 1\/3, to the nearest integer?\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57350 and 6985850.\nAnswer: 1550","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 5*z = 10. Let g = z - -2. Solve -6*k + k = g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-112)\/60 + 6\/(-15) and 108\/26 - 4 - (-19)\/((-340119)\/(-5436)).\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34\/(-68))\/((-34)\/(-10))*3\/(195\/104).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(17) + sqrt(17) + -1) + -3*(sqrt(17) + 2) + ((sqrt(68) + (sqrt(68) - 3*sqrt(68)))*5)\/sqrt(4).\nAnswer: -14*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33563 (base 10) to base 12\nAnswer: 1750b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 9) in base 16?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 6*q + 96 = 0. Suppose -q + 2 = -2*t. Let f = 35 - -70. What is the highest common factor of f and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(-288) - (-26)\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3 - 1 = 0. Let n = 6 + p. Solve -14 = 4*f - 2*b, -6*f - 19 = -f - n*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41109, -5, -10 in ascending order.\nAnswer: -10, -5, 41109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + (2 + -3 - -4). Suppose 130 - l = 4*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 830*q**2. Let a(n) be the second derivative of -4*n**3\/3 + 2746*n. Give m(a(h)).\nAnswer: 53120*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -6997*s + 22. What is the remainder when (-2)\/5 + (-644)\/(-10) is divided by n(0)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4883806435 and 26?\nAnswer: 4883806461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = 5*c - 21, -165*c = -164*c - h - 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-9) - 1 - (0 - 10123\/22347).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.317 from -3433.\nAnswer: -3432.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23933115979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42.549 (b) 0.4 (c) -2 (d) 0.5 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 14.5. Let z = -1.4 - -1. Let j = 1.6 - z. What is the third biggest value in j, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/580 and 19\/222024.\nAnswer: 1110120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmmd when four letters picked without replacement from {d: 2, m: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*a + 202 = 2*n, -3*a + 63 = n. Let l be -5*(2 + n\/(-15)). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 - 5d?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -13 + 2 + 10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -3397.\nAnswer: 4\/3397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/4 of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-10) - (-37)\/5. Let i(w) = -2*w - 1. Let s be i(-2). What is the second derivative of 6*l**3 - 3*l + 0*l - d*l**s wrt l?\nAnswer: -6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -15620*x + 4576662. Determine p(293).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*i - i**3 - i**3 + i**2 - 31*i + 9*i**2 to b*i**3 + j*i**2 + k*i + o and give j.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 631\/4, -30\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**7\/70 + 7*r**6\/8 + 96*r**5\/5 + 287*r**4\/2 - 784*r**3 - 31*r**2 - 18. Determine d so that s(d) = 0.\nAnswer: -14, -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tiidtiddtdidttt. What is prob of picking 4 t?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 + -22021002?\nAnswer: -22022002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.67 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -839 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27*t**5 + 2*t**3 + 13*t + 3 wrt t.\nAnswer: -540*t**3 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 1. Let y(i) = 5*i - 7. Let g(c) = -5*p(c) - y(c). Let w(z) = -z + 1. Give -g(q) + 12*w(q).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 8 - (15\/5 - 10). What is the remainder when q\/4*(-38)\/(-57)*-81 is divided by ((-27)\/6)\/(2\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-12) - ((-16335562)\/(-6))\/(-215 - -213) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/3*((-703)\/(-38) + -23)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) 0.5 (b) 2\/5 (c) 3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)*-2 + sqrt(132) + sqrt(132))\/sqrt(6))\/((sqrt(99)*2)\/sqrt(9)) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 497, 0, 2, -4, 64, -2 in ascending order.\nAnswer: -4, -2, 0, 2, 64, 497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*9\/3)\/(-1). Let b be 22\/f*(-132)\/(-21). Let u = b - 35\/3. Is u greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 - 2*r)*(3*r**2 - 2*r + 2*r)*(r - 4*r + 5*r) to l*r + n*r**4 + s*r**2 + h*r**3 + x and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 8. Let b be x(-10). Suppose b + 22 = 6*g. Let v be (-28)\/(-6) - (-1)\/3. Put g, v, 0.3 in decreasing order.\nAnswer: v, g, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 73 = 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**4 - 2*w**4 + w**4)*(-4 + 0 + 2) + 75*w**4 + 3 - 48*w**4 - 62*w**4 to y*w**2 + g*w + x + l*w**4 + z*w**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206 - -146. Let x be 12\/(-15) + -3*196\/c. Is 102\/13 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*g + 3 = 0, 4 = 4*y + 2*g - 0. Suppose -12*h - 50 = -5*b - 13*h, -5*h - 3 = 2*b. What is the highest common divisor of y and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(0 + 2\/6) + -1. Let z be 0*(-3 + h\/8). Solve z = 3*d + 2*d - 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 3825*t - 3820.\nAnswer: -5*(t - 764)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 9*d**2 - 12*d - 8. Let n be w(-10). Let y = n + -12. Let p = 1.9 + -2. Which is the closest to y? (a) 0.5 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 d when three letters picked without replacement from {z: 1, f: 2, u: 3, n: 1, d: 1, c: 5}?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*g - 24*g - 101*g - 24*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.974 rounded to 1 dp?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 711*h**2 + 21*h. Let x(g) = 71*g**2 + 2*g. Give 2*f(w) - 21*x(w).\nAnswer: -69*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - -4) + -2 + 0. Let y be (-3)\/(-15) + 8\/10. Put -3, y, r in decreasing order.\nAnswer: r, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1554717 + 15?\nAnswer: -1554702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*o - 34*o**2 + 3*o - 14*o**2 - 6*o + 7*o**4 + 5*o + o**3 wrt o?\nAnswer: 168*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 1\/9*z**3 - 1\/3*z**2 + 0*z + 0 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 246 - 217. Solve -6*g = -t - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-108)\/(-450)*(-10)\/(-4)*(-3)\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 4:12 PM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 7*c**2 - 9*c + 4. Let l be n(8). Let p = -4 - l. Let g be 0*(-1)\/(-2 - 0). Solve p = 3*s - u - g*u - 7, -10 = -4*s + u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*15\/2*(-24)\/(-18). Let i = 59 - r. Suppose 0 = i*f + 31 + 14. Let k(p) = -p**2 - 6*p - 2. Give k(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 1 - (-9 + 8 + -7 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343396 is divided by 170965?\nAnswer: 1466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c + 62. Let n(a) = 3*a - 31. Let w(g) = -6*m(g) - 15*n(g). Let t be w(0). Let q = 126 + t. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/765 and 82\/45.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 10*n - 12. Suppose n = 2*b - 3. Solve -5*l - 5*v = -10, b*l + 2*v = v + 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2946162*q**2*r**2 + 33*q**2*r + 94*q**2 + 73*q*r - r**3 wrt r?\nAnswer: -5892324*q**2 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.3 - -2. Let z = -1 - -1.2. What is the nearest to z in -2\/19, -1\/7, q?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**3 - 14*m**2 - 6*m + 5. Let v(z) = 9*z**3 + 15*z**2 + 6*z - 6. Let h(c) = -6*q(c) - 5*v(c). Suppose h(j) = 0. Calculate j.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 70664?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*z + 10*u - 7*u, -11 = -z + 3*u for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 0*f + 3\/2*f**4 + 0 - 3\/4*f**5 + 57\/4*f**3 - 15*f**2 = 0?\nAnswer: -4, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 74*j + 212. Let v be k(-6). What is the common denominator of (v\/(-560))\/(6\/10) and -85\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 154\/9 in -0.1, -1\/38, 375, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -407 + 410. Suppose 4*h - 16 = 0, -18*t - d*h + 75 = -15*t. What is the lowest common multiple of 7 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 819.5 - 819. Let f be 64\/84 + (-8)\/84. What is the fourth biggest value in w, -2\/13, -49, f?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 18 = 25*p. Let c(i) = i**3 + 7*i**2 + 3*i - 5. Determine c(p).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 25. Let w = 22 - c. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-3) - (-17)\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 3*i**2 - 16*i - 76. What is q(-6)?\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, 5, 4, -1, 1.7, -862, -1\/4?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1239*c**4*p + 7*c**2 - 56*c*p**2 - 22548635*p**2 wrt c.\nAnswer: 4956*c**3*p + 14*c - 56*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -3*c - 1\/108*c**4 - 1\/9*c**2 + 3 + 1\/18*c**3. Factor w(i).\nAnswer: -(i - 2)*(i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10086.00002335 - 10086. What is s rounded to 7 dps?\nAnswer: 0.0000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b477 (base 15) to base 5\nAnswer: -2210022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 + 0.017. Let w = j + -2.967. What is the nearest to 0.1 in w, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by 16.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 49.24264ml?\nAnswer: 0.04924264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - 3267?\nAnswer: -327b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - 6*i + 1. Let w be q(-6). Let s(r) = r - 7. Let x be s(7). Which is the nearest to x? (a) w (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2 and 7\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {a: 2, w: 3, l: 1, n: 6, v: 2}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffnnn. Give prob of picking 2 f and 1 n.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 6*w. Let b(x) = 0*x + 5*x + 2*x. Let m(h) = -h**2 - 6*h - 2. Let v be m(-5). Let d be -3*((-39)\/(-9) - 3). Give d*f(k) + v*b(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 33407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.381 to 2 decimal places.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 116041 + -79659. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*r + 45*r - 785160 = 11*r. Is r a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -268309*k + 804930. Determine u(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3402 = 42*w - 13*w - 191*w for w.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 6 + (-12 - -1) + -1 + -9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 229, 223, 215, 205?\n\"Answer: -c**2 - 3*c + 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (680\/10710)\/((-2)\/(-7)). What is the closest to -8 in 2\/3, t, 5\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3\/8*s**2 - 9\/4*s + 1\/8*s**3.\nAnswer: s*(s - 6)*(s + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -905 + 914. Calculate the lowest common multiple of p and 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.34 + -13.44. Which is the closest to -1? (a) 5 (b) 11 (c) v (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(11\/(-132)*6).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2*l - 41 = 25, 30 = -3*d - 2*l. Let n be -2*23\/(-24) - d\/(-6). Let c = -11 + 9. Sort n, c, 2\/5, 3\/4 in increasing order.\nAnswer: c, n, 2\/5, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 4, 5, 12 in increasing order.\nAnswer: -2, 3, 4, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 7) to base 15.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 12. Differentiate -s - 2 + 5 + 2*i**3 wrt i.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*i + 289*i + 517*i + 149*i.\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**2 - 7*z - 5. Let o(s) = 4*s**2 - 8*s - 5. Give -6*n(y) + 5*o(y).\nAnswer: 2*y**2 + 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 - 54*j - 65. Calculate s(-26).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -5 (c) 1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + 8\/(-12)*9. Let n be (1\/((-10)\/4))\/(4\/(-10)). Sort i, 0, n, -4.\nAnswer: i, -4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271262376 divided by -791?\nAnswer: -342936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnyn when four letters picked without replacement from nnzyyggnz.\nAnswer: 1\/252","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 wbwwwbwbbbwwbzwwww.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a year in months?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 3 = p. Suppose -2*d = 13 - p. Let v = -6\/13 + 199\/403. Do v and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -226*o**3 - 2*o**2 - 132*o + 136. What is b(1)?\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-1))\/((-140)\/(-210))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**4 - c**3 - c**2 + 2*c - 1. Let t(v) = 709*v**4 - 8*v**3 - 8*v**2 + 267*v - 8. Let p(k) = -8*s(k) + t(k). Find the second derivative of p(j) wrt j.\nAnswer: 8412*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**3 + 35*g**3 + 3*g - 3*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3 + 55892*y**2 + 279498*y + 335412 = 0.\nAnswer: -3, -2, 27951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -99.65.\nAnswer: -29.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 1:16 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbb when three letters picked without replacement from xaxxbxabbzwxbz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**4 - 12*z**4 - 21*z**4)*(128 + 103 + 34).\nAnswer: -11660*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 + 63980*g**3\/3 - 127963*g**2\/3 + 63982*g\/3.\nAnswer: g*(g - 1)**2*(g + 63982)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 174, 383, 674, 1047, 1502, 2039?\nAnswer: 2658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4273*k - 8534*k + 4270*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3256 is divided by 182.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 201, 303, 439, 621, 861, 1171, 1563?\nAnswer: 2049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.038 and 0.55.\nAnswer: 0.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*i + 3*i = 0. What is the smallest value in -5, i, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 18.8. Let l = j - -4. Round l to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45436*t**3 + 25135 wrt t?\nAnswer: 136308*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -6. Let s = -10.83 + 11.13. Which is the smallest value? (a) u (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34966*l + 34702*l - 2112 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 880.4 to the nearest 10.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3*b. Let z(q) = 5713*q - 5. What is j(z(a))?\nAnswer: 17139*a - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-4) - 3254\/6. Let z = y + 550. Factor 0 + z*g**2 - 4\/3*g.\nAnswer: 2*g*(7*g - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 52053 + 4.\nAnswer: 52057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -3916 divided by 4\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 11 = -2*m. Suppose 6*h = 5*h - 11. Is m > h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101548 and 6996.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1386 divided by -28979?\nAnswer: 1386\/28979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -b + 2*b. Suppose -b = -m - m. Suppose m*s - s = 5*d - 47, -d + 2*s = -8. What is the highest common divisor of d and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 1 - 5. Let f(c) = c**2 - 1 + 3 + 300*c**3 - v*c + 1. Let h be f(3). Round h to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8784224 * 3\nAnswer: -2.6352672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 87\/7, 2\/7, -5, 4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75679 - 354*g**3 - 75679 + 1410*g**3.\nAnswer: 1056*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {l: 1, k: 2, m: 1, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 (base 15) in base 8?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 4*h + 4. Let q be 2\/7 - (-12)\/7. Let k = -3 + 8. Suppose -q*d - 12 = -3*c + 1, 0 = 5*c + k*d - 5. Determine b(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*r - 65, -j = -0*r + 2*r - 15. Let g = 20 - r. Solve -5*t + 25 = g for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -912 - -1628. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 141471, 282924, 424377, 565830?\n\"Answer: 141453*w + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/11, -24, 0.5, 0.7, -27.9 in increasing order.\nAnswer: -27.9, -24, -9\/11, 0.5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(0 - 5504\/(-928) - (6 - 0))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 742564260 by 4583730.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 3. Let t be b(4). Solve c - 3*w + 9 = -0*c, 2*w = -t*c + 23 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 313?\nAnswer: 30f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 103, -100, -3, 56?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) 1\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 0*x**2 - 1 + 3*x**2 + 2 + 7*x**2. Let b(n) = -21*n**2 - 2. Suppose 0 = g + 2*c + 28 - 11, -2*g + 2*c = 22. What is g*a(q) - 6*b(q)?\nAnswer: -4*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291217, 582485, 873779, 1165099, 1456445, 1747817, 2039215?\nAnswer: 2330639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -74, 1, 1.2, 5, -3\/7 in increasing order.\nAnswer: -74, -3\/7, -2\/5, 1, 1.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*k - 276*k = 24 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9.80000365 + 9.8. Round f to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-3 + -2)\/(-1). Let h = 14 + y. What is the remainder when 77 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -68 + 71. What is the smallest value in 1, v, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(7\/8)*a)**17 assuming a is positive.\nAnswer: a**(255\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -0.06818831563564.\nAnswer: -1.06818831563564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.3623171 to 2 decimal places.\nAnswer: -6.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7540953.\nAnswer: 3, 7, 43, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -165 - 114 + 394 + 145*i**3 - 2*i**2 wrt i.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10059509 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7353\/4 - 6863\/4. Factor -35*z - 5\/2*z**2 - d.\nAnswer: -5*(z + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695686 is divided by 115931?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -2*o**5\/5 - o**4\/2 + 91*o**3 - 299*o**2\/2 + o - 7024. Find the second derivative of b(r) wrt r.\nAnswer: -24*r**2 - 12*r + 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 + -57. Suppose 3*h - 10 = 4*j, 4*h - 5*j = 10 + 4. Solve y - 4 = 2*v + h, -n*y = -v - 19 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4008 = 5*h - 3983 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*sqrt(85)*-2)\/(sqrt(405) - (sqrt(405) - (sqrt(405) + (sqrt(405) - 1*sqrt(405)) + sqrt(405)))*-4).\nAnswer: -8*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 4*n - 20, -15 = -4*n + 5*j - 6*j for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 + 0 - (7 - 8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1275 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -258*z - 6710. Determine k(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21811 = -21*s + 21958 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -14*l**2 + l + 1. Let n(b) = -37*b**2 - 110*b + 3. Calculate 2*d(y) - n(y).\nAnswer: 9*y**2 + 112*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = d - 20 - 147, 5*d = 2*f + 809. Suppose 4*o = 2*k - 50, 0*k - o + 114 = 5*k. Calculate the greatest common factor of k and d.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of -o**2 - 68\/3*o**3 + 0*o + 1\/15*o**5 + 5\/2*o**4 + 0. Let q(m) = 0. What is m?\nAnswer: -17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*k - 33 - 83, -k = -2*i - 82. Is 9 a factor of 2\/7 + (-1290)\/i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2 - 1. Let w(t) = -4*t**2 - 3*t - 1. Let x be w(1). Is 11 a factor of a(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6.663255 millennia?\nAnswer: 666.3255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (0\/1)\/4. Suppose 0 = 9*r - x*r - 105. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 42\/(-12) - (-6)\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 590 times -1\nAnswer: -590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwlww. Give prob of picking 1 l and 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324 is divided by 166?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 13, 4 in decreasing order.\nAnswer: 13, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2303 divided by -8\nAnswer: 2303\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -162 divided by -7908\nAnswer: 27\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*s - 0*s - 74, -3*s + 3*q = -114. What is the greatest common factor of s and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 7:58 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/3)\/q)\/q**(2\/11))**12)**(-19) assuming q is positive.\nAnswer: q**(1292\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 4*o - 20, 0 = -2*q - o + 6 - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -665 - -1002. Let v = q + 7990. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10083200*n**3 + 13006132*n**2 wrt n?\nAnswer: -60499200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (192*a**2 + 18*a - 2*a**3 - 192*a**2)*(-1 - 2 + 1)*(-2 - 2 + 2).\nAnswer: -8*a**3 + 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*i = -12, 1 = 2*f + 3*i - 43. Suppose -7 = -3*p + 2*a, 4*p = -0*a - 2*a + f. Solve -p*j + j = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(5*k**3 - 5*k**3 + k**3)*(-659 + 659 - 1815*k + 3099*k + 3216*k).\nAnswer: 4500*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -526829*r - 21513179 wrt r.\nAnswer: -526829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 37\/5 of a microsecond?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-2))\/(2\/(2\/(-3)))*(-31)\/155?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -545*a**4*d - 40*a*d**3 + 2*d**3 + 302*d**2 - 10*d wrt a.\nAnswer: -2180*a**3*d - 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4308c5 + 1?\nAnswer: 4308c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 1. Let k be b(-3). Let f be (394*27)\/(-2) - k. Let h = f - -8821. What is h rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v = 1002 - 72 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284529 is divided by 94.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26715, -26755, -26857, -27051, -27367, -27835, -28485?\nAnswer: -29347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a - 5 = 0, 9 = -2*x - 3*a. Solve m + x*m - 8 = -2*o, 5*m - 2*o = 19 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**11\/(h*(h\/(h\/(h*h*h**(-2\/13))))\/h))\/(h\/(h**(2\/5)\/h))**32 assuming h is positive.\nAnswer: h**(-2733\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 202, -2\/7, 1\/6, -3\/4?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -99*u + 101*u. Suppose u*b = 286 - 256. Solve -b*d = 2*d + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h**2*k + 240*h**2*v + 1699343*h*k*v - 20*h*v - h wrt k.\nAnswer: 2*h**2 + 1699343*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12034 - 22?\nAnswer: 12012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3897952.\nAnswer: 2, 41, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 17 = 2*o, 4*o - 7*o - 3*d + 12 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609737972 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: Let n(b) be the first derivative of -2*b**3 + 48. Let r(f) = -10*f**2. Give n(r(k)).\nAnswer: -600*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(252) + -1)**2 - (-4 + sqrt(252) + 2).\nAnswer: -1010 + 42*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 21*p - 1. Calculate r(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -61 - -66. Let u = -6 + 8. Put b, 6, u in increasing order.\nAnswer: u, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -v**4\/28 - v**3\/21 + 688. Factor z(p).\nAnswer: -p**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442 + 151*u**2 - 149*u**2 + 516.\nAnswer: 2*u**2 + 74","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 1:06 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 18. Let g be (-2)\/(-8) + (-2)\/8. Let n = g + 6. Solve 2*k - n = -o for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-23)\/(-2)*(-8)\/(-4). Suppose -g = -3*m + 4. What is the highest common factor of 72 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2*k**(-4))**(31\/3))**(-42) assuming k is positive.\nAnswer: k**868","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50675 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 910 divided by -564?\nAnswer: -455\/282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 9*i**2 + 18*i - 24. What is the tens digit of x(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2598*q + 2601*q - 9. Factor 0 - 4\/3*c**q - 88\/3*c**2 - 484\/3*c.\nAnswer: -4*c*(c + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -4. Let g = u + -8. What are the prime factors of 12\/(-10)*25\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 1. Let y = 6 - 17. Let i = w + y. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -7. Let g be 6\/d*(-3)\/(-1). What is the units digit of g\/7 - 30\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10627 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 5 = -2*k + 11, m = 2*k for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by 898.\nAnswer: -65\/449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 0 - 4\/3*s**2 - 8\/9*s**3 + 1\/9*s**5 + 16\/9*s + 1\/3*s**4 = 0.\nAnswer: -4, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -24*o**2 + 9*o + 5. Suppose 142*i - 45 = 137*i. Let u(q) = 6*q**2 - 2*q - 1. Give i*u(m) + 2*z(m).\nAnswer: 6*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence egk when three letters picked without replacement from qkpegeik?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6 (b) 380 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 - 3*b**4 + 0*b**4)*(-2 + 3 - 2) + b**4 - b**4 - 2*b**4 - 3*b**3 - b**4 - 2*b**3 + 3*b**3.\nAnswer: -2*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 + 1 = -32*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, j: 9}. Give prob of sequence uuj.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a - 21*a + a)*(-a + a - 3*a) as y + q*a**2 + h*a and give q.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 18*h**2 - 19*h - 28. Determine m(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -2*b - 3*c + 270, -3*b = -c - 278. Let a = 154 - b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*h - 20 = 55*h. List the prime factors of (4\/h)\/(18\/(-3285)).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.1 and -3482?\nAnswer: 3830.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 39\/2908963?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 s, and 1 e when three letters picked without replacement from sssennl.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2816*x - 33078. Calculate k(-12).\nAnswer: 714","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 26890, 53773, 80656, 107539, 134422?\n\"Answer: 26883*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -489*n**2\/7 + 2420547*n\/7 + 14850\/7 = 0.\nAnswer: -1\/163, 4950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3951.85784 - 13.89794.\nAnswer: 3937.9599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117814078?\nAnswer: 2, 103, 443, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 151 divided by -22\nAnswer: -151\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2384255 - -4?\nAnswer: 2384259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 161*n - 158*n, -2*f + f = -n - 10 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, r: 8, a: 2, x: 1}. Give prob of picking 2 a and 1 y.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 83 = 84 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 449636534 = -42*t - 397965466. Round t to the nearest one million.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.344 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-111)\/666)\/((-5)\/4393110) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91901 by 1126.\nAnswer: -91901\/1126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59708?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.09 or -1576653?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/11048 and -25\/3.\nAnswer: 33144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvzrzrzwzzrp. What is prob of sequence vz?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 567585 (base 9) in base 12?\nAnswer: 144a58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1451*i**2 + 127*i**3 - 2907*i**2 + 1456*i**2.\nAnswer: 127*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 - 4. Let z be -2 - -4 - (2 + -11). Find the second derivative of -5*s**4 + 11*s**3 - z*s**k + 0*s**4 - 17*s wrt s.\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from khhpthhtkkkphtthih. What is prob of picking 2 p and 2 h?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119382756 to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2882, 1585, 9176, 20011, 34210, 51893, 73180?\n\"Answer: 20*j**3 + 1442*j**2 + j - 4345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-3*(-2*sqrt(5040) + sqrt(5040)))\/(-1*(1*sqrt(80) - 4*sqrt(80))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-112)*-8*98\/(-28))\/(520\/12)?\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3515*h + 273910. Calculate t(-78).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014417 to the power of 1\/3, to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15932, 15930, 15928?\nAnswer: 15926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -540, -1930, -4214, -7416, -11560?\nAnswer: -16670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + sqrt(360) + -2*sqrt(360)*-1 + sqrt(360))\/sqrt(12))\/(((-2*sqrt(210))\/sqrt(7) + sqrt(30))\/sqrt(3)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 180830631 to the nearest integer?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 + d**4 - 309*d + 307*d - 5 to the form h*d**2 + r*d + o*d**3 + g*d**4 + x and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*(-15 - (-897)\/60).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 4, -3, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 72932, 146073, 219214?\n\"Answer: 73141*j - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -19. Suppose 13*n + 5 = z*n. Which is bigger: n or -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13d5 + 10c8?\nAnswer: 24bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 32, -7, -2, -1, 1\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67173 is divided by 33585?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 1294*f**2 - 1 - 1289*f**2 - 2*f + 3. Let c(j) = 3*j**2 - 3*j + 3. Let r(w) = 2*c(w) - 3*s(w). Let o(q) = q**2. What is o(r(x))?\nAnswer: 81*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80377?\nAnswer: 11, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8925*c. Let l(j) = 32*j**2 - 2*j + 10. Calculate f(l(b)).\nAnswer: 285600*b**2 - 17850*b + 89250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - w + 1, 0*v + 4*w + 10 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 99773*g. Let m(s) = -22*s**2. Calculate y(m(w)).\nAnswer: -2195006*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1613.949 to zero decimal places.\nAnswer: -1614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3222\/13 - 248. Is -2 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*q + 8 = 0, -q = -0*q + 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*z, 3*s - 3*z + 53 = 2*z. Let r(a) = -5*a - 6. Let j = -5 + 5. Let k(h) = j*h - 2 + 4 + 2*h. Calculate s*k(y) - 4*r(y).\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 363.3 - -47.7. Let b = -354.8 + f. Let t = b - 51. What is t rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*n + 6 - 6 - 82*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 4. Determine y(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 22*p - 101. Let c be j(4). Solve -c*v + 16 = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 180, 603, 1294, 2253, 3480?\nAnswer: 4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 4*y - 16, 4*c + 3*y = 3*c. Let b be 5\/(3*c\/(-9)). Sort 1, b, 3 in increasing order.\nAnswer: b, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 + 0.1. Let t = 1.5 - 1.4. Let i = 7 + -36\/5. Which is the nearest to 0? (a) t (b) i (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 3*u + 21. Let z(c) = -2*c - 14. Let o = 133 + -128. Determine o*q(s) + 8*z(s).\nAnswer: -s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) - sqrt(80)*-1*-4))\/(sqrt(45)\/(sqrt(27)\/sqrt(3))))\/((sqrt(96) - (sqrt(96)*-1 - sqrt(96))*-5)\/(2*sqrt(1200) + sqrt(12))).\nAnswer: -28*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.53752 rounded to 1 dp?\nAnswer: -103.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 12 = 0. Let m be (2\/5)\/(12\/15). Factor m*b - b**w + 0 + b**2 - 1\/2*b**5 + 0*b**3.\nAnswer: -b*(b - 1)*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 45 = c + 4*c, -5*a + 36 = -2*c. Let x(w) = -5*w**2 - 6*w. Let p(l) = -6*l**2 - 6*l + 1. Let s(z) = -6*p(z) + 7*x(z). What is s(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45000 and 6?\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - 7*d**2 - 8*d. Let n be g(8). Suppose 3*o - 200 - 64 = n. Let j = 90 - o. Sort 1\/10, -6\/19, j.\nAnswer: -6\/19, 1\/10, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/10)\/((-2716)\/(-70)). Let m be -2 + (6 - -4)\/2. Let h(f) = 2*f - 5. Let n be h(m). Is j at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j - 5. Let q(t) = -9*t + 1. Let b be q(0). Let k(w) = -1. Let h(p) = b*v(p) - 4*k(p). Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 227*v + 12. Let y(t) = -27. Let w(p) = 5. Let r(c) = 11*w(c) + 2*y(c). Let u(d) = -6*r(d) + x(d). Is u(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14))\/(44\/154).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4 - 2 - 15*z to the form a*z + j and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 4) in base 3?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 149*r - 777. What is the remainder when l(7) is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0 - 3 + 8 - 8*n**2 + n**3 - n. Let a be t(8). List the prime factors of (-169)\/a*(-21)\/(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*t = -9, 2*k - 5*k = t - 23. Suppose u + k = 13. Suppose 0 = -u*j + 3*j + 20. Solve -6 = i - j*g, 2*g + 0 = 5*i - 16 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djgjkhggkg. What is prob of sequence dk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -790, -1501, -2198, -2875, -3526?\n\"Answer: f**3 + f**2 - 721*f - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37159132 - 4*d**2 + 37159204 - 74318336.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2948 + 2943. Let m(h) = 2*h**3 + 11*h**2 + 5*h + 1. What is m(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 + 64*l**2 - 66*l + 3. Let s be b(-33). Solve 4*m = y + 6, -3*y - 2*m - s = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.49824211 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k - 648. Let v(f) = f - 243. Let t(x) = 3*i(x) - 8*v(x). Let o(q) = -16*q - 39*q + 14*q. What is o(t(s))?\nAnswer: 82*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(-1)\/((-6)\/(-15)). Suppose -30 = -5*q + k*o, 3 = q + 2*o - 0. Suppose 0 = s - q*s + 5*l - 4, 0 = -3*s + l - 3. Is 1\/4 less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from iirrilqirriiqi?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*o + 10 = -295*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 5*n + 59, -b - 5*n - 91 = -2*n. Let y = b - -88. Let o(m) = y*m + 0*m - 9*m - 4*m. Let f(r) = 11*r**2. Give f(o(c)).\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 370.3747 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (2 + sqrt(76)*-4)**2 + sqrt(76) + (4 + -2 + 1*sqrt(1216))**2).\nAnswer: 12*sqrt(19) + 14670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 12 = -4*p - 8, 0 = 3*d + 3*p + 15. Let h = 175 + -298. Let i = h + 489\/4. Which is bigger: d or i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 176632.8 decades?\nAnswer: 1766328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 423 = -8*s - 42*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191431, -382825, -574219, -765613, -957007?\nAnswer: -1148401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 454*z**2 + 12*z - 11.\nAnswer: 908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8846894141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 307*y**8\/28 - 51*y**4\/2 + 245*y + 2. What is the third derivative of u(v) wrt v?\nAnswer: 73680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/99 and 61\/126.\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + (8 + 25 - 7) + -33.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 4*f + 17 + 31, 0 = -5*p - 3*f + 46. Suppose 0 = 4*k + p - 68. Solve 3*i + k = -0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 29 = -4*s, 26*s = -3*g + 27*s + 4. Find t such that -1\/4*t**2 + 0 - 1\/4*t**g + 0*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yclwllxlwltxclcllxw. What is prob of picking 1 t and 1 w?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + o + 0 + 0*o)*(11*o**2 + 10*o - o**2 - 8*o**2).\nAnswer: 2*o**3 - 2*o**2 - 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -o**7\/168 + o**5\/10 + 3*o**3 + 13. Let u(p) be the third derivative of r(p). Find the second derivative of u(m) wrt m.\nAnswer: -30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.256, 0.13, 0.03, 2\/99, -1 in increasing order.\nAnswer: -1, -0.256, 2\/99, 0.03, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 65 + -63. Calculate the greatest common factor of x and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -4*q - 30. Calculate the remainder when 40 is divided by (-4)\/(-6) - 160\/q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 1\/6*x**3 + 0*x**2 - 2\/3*x + 1\/24*x**4 + 10. Factor a(j).\nAnswer: (j - 1)*(j + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) -18.1 (c) 0.4 (d) 844\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 5*g - 9. Let u be f(9). Suppose 0 = -5*b + b + u. What is the greatest common divisor of b and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129009.\nAnswer: 3, 43003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q - 3. Calculate s(-11).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23863.3 rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 960 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5423 + -119387\/22. Let p = -21 - -15. What is the common denominator of i and (39\/p)\/(-2 - -10)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*b = 71*b - 25, -v + 3*b = -343. What is the greatest common factor of v and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - z**3 - 2*z)*(0*z**2 - z**2 - 2*z - 5*z**2).\nAnswer: 6*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*(34\/(-32) + 1). Let q = -1 - -0.7. What is the closest to q in 1\/4, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/6)\/((-685)\/2466). What is the second smallest value in -4, 75, i, 21?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*c + 30*c**2 + 7*c)*(4 + 3 - 1) + 6*c**2 - c**2 - 4*c**2 as i*c**2 + l + d*c and give i.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/5 + 52\/15. Sort -0.4, f, -4\/5, 3 in decreasing order.\nAnswer: 3, f, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = a, -4*a + 0*a + 14 = 5*x. Suppose -4*u + z + 0*z = -43, x*z + 31 = 3*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15004067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/a**(2\/21))**(-46)\/((a\/a**(-5\/4))\/a)**18 assuming a is positive.\nAnswer: a**(-6557\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -5*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -13 + 1 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24995 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06238 to 2 decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 4*b**3 + 188*b - 1034 + 1033 - 190*b - 17*b**2 to p*b**2 + w + n*b + x*b**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6 + 16*n + 2 - 3*n**2 + 0 - 394*n**2 - 165*n**2 wrt n.\nAnswer: -1124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**5 - 7*h**4 + 6*h**3 + 22*h**2 - 7*h - 15 = 0.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 16*r**2 - 16*r + 3. Calculate a(-15).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*8.3\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117 = 33*h + 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l + 2*k + 4, 15 = -5*l - 5*k. Suppose 3*i - 2*g + g - 93 = 0, l = -5*i - 3*g + 169. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 8.84. Let k = c + 63.8. Let r = 54.99999795 - k. Round r to seven dps.\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -275.08082 and 2.\nAnswer: -273.08082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 e when three letters picked without replacement from beebbbbbbbeebbebbbe?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*d**2 + 1\/7 + 2\/7*d**3 - 1\/7*d - 1\/7*d**5 + 1\/7*d**4 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 198*b**5 + 243*b**5 - 13*b**2 - 349*b**2 wrt b.\nAnswer: 26460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from efeceeacafefceaca?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334253 (base 6) in base 9?\nAnswer: 123586","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4 - -2)*120. Suppose -246 = -2*o - x. Solve o*d + 9 = 0, -t = -3*d + 2*d - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3567135491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 434, 561, -1, 5, 4 in descending order.\nAnswer: 561, 434, 5, 4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/55 - (-25)\/110)*50.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 519723, 1037660, 1555597, 2073534?\nAnswer: 2591471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/4180500 and 61\/371600.\nAnswer: 16722000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 10110000001?\nAnswer: -10110000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93 + -90. Let q = -2 + 6. What is the third derivative of 7*g**q + r*g**4 + 16*g**2 - 3*g**2 wrt g?\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 8511?\nAnswer: 8509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41289*b - 46*b**3 + 20638*b + 20651*b.\nAnswer: -46*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 22, 28?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 2222?\nAnswer: 2300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g + g + 2*g + (-g + g - g)*(-2 - 3 + 4).\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -72878843699.79 from 0.14.\nAnswer: 72878843699.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(85) + sqrt(85) + (sqrt(85)*3 - sqrt(85))*-5)\/((4*sqrt(15))\/sqrt(3) - sqrt(5)))**2.\nAnswer: 1043\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 - 44*c - 245. Give y(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(2*-1*sqrt(5808)*4)**2 + -4)*3.\nAnswer: -1115163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 347*z - 4 = 345*z. Solve z*s - 1 = 1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/8 + (-13)\/(-2). Solve -2*d + h = -4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of 5*x**2\/2 - 3. Let z(s) = -s. Suppose 2*a + 75 = 5*a. Suppose 0*f - 4*b = 2*f + 26, -5*f - 2*b = a. Calculate f*z(o) - m(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 52, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8180 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 o(g) = -159*g**3 - 3*g**2 - 3*g - 3. What is o(-1)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 3 - 3)*(36*v + 7*v**2 - 36*v).\nAnswer: -14*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25\/9 + 3. Let z(b) be the first derivative of 4 - 2\/27*b**3 + 1\/9*b**2 - 1\/18*b**4 + i*b. Factor z(s).\nAnswer: -2*(s - 1)*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -21*d**2. Let n(j) = -75*j - 6. Calculate n(z(l)).\nAnswer: 1575*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 96 = -4*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132942 times -172.8?\nAnswer: -22972377.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - 2*w - 2. Suppose d - 20 = -3*d. Calculate the least common multiple of u(-2) and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-5)\/((-20)\/(-16)) - -16 and 5\/3*(-9 - -12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65342?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 2.4, -2, -1, -3, -26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 82 + 138 = 0. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uouauoouuoa. What is prob of picking 2 u and 1 o?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 337540, 338103, 339042, 340357, 342048?\n\"Answer: 188*y**2 - y + 337353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 559*z + 161767 = 146115 for z.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*n - 17 = 0. Calculate the remainder when (96\/(-20))\/((-3)\/20) is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 10*j - 12. What is v(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from wmnmwmmmwwwmmwmmwmw?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 65*n**2 + 124*n + 1. Determine q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/378 and 25\/12624.\nAnswer: 795312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 + 3 - (-5 + 21))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6225*k - 6048 = 5973*k for k.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3944 + 762*c + 3942 - 7885)*(c + c + 3*c).\nAnswer: 3810*c**2 + 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from iupiyyduduuyyuiuupu.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 + -129.5. Let j = 9.8 + w. What is the smallest value in j, 0.15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:31 AM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 + 33. Let o be 56 + l - 5*1. Calculate the highest common divisor of o and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:40 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 272726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, -5, -52, 3 in increasing order.\nAnswer: -52, -10, -5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4201913, -4201897, -4201881, -4201865, -4201849, -4201833?\nAnswer: -4201817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*i**3 + 54*i**3 - 165*i**3.\nAnswer: -148*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 - 3*b - 9. Let s = -31 + 35. Let m be y(s). Suppose 0 = -2*k + k + 4*o + 25, 0 = 3*k + 4*o - m. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q + 3. Let c be d(0). Let r be c\/(-2)*(-24)\/9. Solve -2*m = -r*x + 6*x - 8, 4*m = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-68) + -115 + (-755209)\/(-6562).\nAnswer: 12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 49*b - 4*y - 2408 = 0, -3*y = -3*b + 2406. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 15 = -129. Let m be 7107\/(-92) - 2\/(-8). Let y = x - m. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 - 92*z**2 - 591*z + 349. Calculate q(-85).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 3 + 8 + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 3. Let u(l) = -2*l + 4. Let n(f) = 3*t(f) + 2*u(f). Give n(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*w + 719*w - 1 = -1. Which is the closest to 1? (a) -2 (b) -11\/16 (c) -3 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.8 + 0.8. Let s be 1\/3 - (-2)\/3. Which is the nearest to s? (a) 1 (b) 0.4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207107258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvvooovvovvvvvvvvv.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i + 2*t - 32, 46348*i - 46347*i + 21 = t for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -106, 602, 1598, 2900, 4526, 6494?\nAnswer: 8822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172745 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2 - 4*g**3)*(-2*g + g - 3*g).\nAnswer: 16*g**4 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**7\/630 - 47*u**2 + 51*u. Let p(w) be the first derivative of l(w). Factor p(k).\nAnswer: -k**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -63. Let y(b) = 25*b**2 - 51*b + 9. Let k(n) = 12*n**2 - 25*n + 4. Let o(i) = j*k(i) - 4*y(i). Find the second derivative of o(x) wrt x.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:36 PM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -2 + -5 + (-32 - 13) + 15?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**3 - 4*c**3 + 2*c**3)*(-37 + 24 + 18 - 1 + 3 - 4 + 2 - 5 + 5 + (-1 + 1 - 1)*(1 - 2 + 2) + 1 + 0 + 2).\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10338457 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - ((33 - 32) + (-1 - 8) - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let o(q) be the second derivative of -8*q**4 + 53*q. Determine r(o(x)).\nAnswer: 18432*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2 = -4*u, -4 = 4*u - 3*k + k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53335 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: What is the closest to -19461 in -1, -7, 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -875 - -2623\/3. What is the nearest to -0.04 in -1\/8, -3\/5, y, -3\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 60, 0.5, -1\/5 in ascending order.\nAnswer: -3, -1\/5, 0.5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136053 + 45893.\nAnswer: 181946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3332)\/(-1904))\/(114 - 2)?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 58*c - 93651 = 12*c. Is 27 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 61*d**2 + 1361*d + 88233. Determine u(-62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t + 19. Let j be g(4). Sort 0, j, -4 in descending order.\nAnswer: j, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 500072364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -251*z**6 - 563*z**2 + 62*z**5 - 69*z**5 - 1951*z**2 - 460*z**2 wrt z.\nAnswer: -30120*z**3 - 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 7*s + 16. Let m be 15\/(-10) + (-38)\/s. Let c = 103 - 95. Calculate the greatest common divisor of m and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1497*m - 10551 wrt m.\nAnswer: -1497","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3*(-76)\/1998)\/((-24)\/(-25587)). Let t = -365\/3 - i. Which is smaller: 2\/3 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 2\/17, 0.154.\nAnswer: -1, 2\/17, 0.154, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/24*(-24)\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -19005 divided by -19005?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 8*j + 115272. Let y = j + -9246. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -183752 (base 11) in base 4?\nAnswer: -1011013010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, -0.5, -16, -43 in increasing order.\nAnswer: -43, -16, -0.5, -0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 939361.7us in seconds?\nAnswer: 0.9393617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/4 + b - 1. Suppose 0 = 3*y - 3*g - 3, g = -3*y - 9 - 0. Let v be 3\/(-12) - y\/8. Determine k(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (15 - (-26 + 67))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-124)*(-132)\/(-33).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -19*w**3\/6 - 15*w**2\/2 - 30*w. Does 15 divide y(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387, 774, 1161, 1548?\nAnswer: 1935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 1. Let g(u) = -5. Let m(d) = -8*d + 28. Let q(o) = -5*g(o) - m(o). Give q(w) + t(w).\nAnswer: 8*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -22*f**2 - f - 11. Let n be p(4). Let v = n - -678. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 2 + 2)*((1 - 3 + 3)*(5 - 1 - 3) + 2 + 0 + 1)*(-2*l + l + 0*l) to s*l + f and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3801*b = -365671 + 909214 for b.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 643*j**2 + 102068*j + 3933456.\nAnswer: -(j - 2724)*(j + 76)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 11*w**2 - 12*w - 19. Let a be r(-10). What is the closest to a in -7, 0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 77.686234623 and 2?\nAnswer: 75.686234623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 31684*q - 17570400 = 0 for q.\nAnswer: 600, 7321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = -5*t + 17*m - 37*m, 29 = -5*t + 3*m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.1290649 rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 8*g + 5. Suppose 4*r - 8 = 12. Suppose -r*n = 4*t + 6 + 29, t + 2 = n. Does 10 divide i(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2. Let l(n) be the first derivative of 2*n**3\/3 + 6. What is l(q(x))?\nAnswer: 18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.1. Let m = 4 - 6.6. Let y = -2.2 - m. What is the closest to 0.1 in -2, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 133?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41339\/30 + 8275\/6. What is the biggest value in 2\/165, -3\/16, t, 2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 0*w - 18 = -4*a, -4*a + 12 = 0. List the prime factors of w\/(-3) + 3*7.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -298259 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 28) + 7 - (-13 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*u - 9 - 27, -2*u + 14 = 3*q. Suppose q*d - 252 = 4*d. What is the highest common factor of 9 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-2976)\/(-60))\/(3\/450) + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 712351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.057 in -19, -0.3, 2, 16, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 9 - 2*v - 28 - 19.\nAnswer: -2*v - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36319\/5 or -7265?\nAnswer: -7265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Suppose 77 - 23 = -27*l. Determine n(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 6:48 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -5.7. Let a(l) = -l**2 - 16*l - 59. Suppose 38 = -4*y - 9*f + 7*f, y - f + 14 = 0. Let n be a(y). What is the nearest to 2 in 1, n, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*s = -1010 + 69 + 121 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(43\/5)*((r\/(r**(1\/9)\/r))\/r)\/r**(10\/9) assuming r is positive.\nAnswer: r**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 8 = 2*r. Suppose -9 = 3*w - r*w + 3*s, -5*w + 3*s + 93 = 0. Suppose 0 = 3*j, -3*y + 4*j + w - 3 = 0. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 3*w + 14 = 0, 0*g - 16 = 2*g - 3*w for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1ac5b8 (base 13) to base 6.\nAnswer: -22355515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/42 and 41\/3543128.\nAnswer: 74405688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 1 - 874*s**4 + 24*s**3 + 1728*s**4 + s**2 + 2*s - 864*s**4 as b*s**3 + p*s + x*s**2 + c*s**4 + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.27370238 + -0.2497034. Let d = -7 + 7.024. Let h = b - d. What is h rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/188936 and -89\/15389696.\nAnswer: 169286656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*t + 0*t - t)*(-2 + 2 + 3) + 0*t - 4*t + 5*t + (-2*t + 2*t - t)*(1 - 1 + 1))*(-26 + 43 - 28) to z*t + n and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*k - 5 - 67, 5*k - 216 = -3*d. Suppose -4*j + d = 2*c, -5*j - c + 72 = -18. Suppose -6*p = -24 - 6. Solve 2 = -p*z - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -231, 0, 3, 1, 2 in increasing order.\nAnswer: -231, 0, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9151282 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*s + 110*s = 0. Solve s = 4*l - l - 4*h - 33, 4*h + 39 = 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**6\/120 + r**5\/30 - 5*r**4\/8 - 3*r**3\/2 - 184*r**2 - r. Let f be s(-5). What is the closest to 2\/5 in f, -0.04, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 62*j**3 + 4 - 10*j**3.\nAnswer: -72*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 19*g - 860. Give f(42).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395 + 4005*b**2 + 395 - 21796*b**2.\nAnswer: -17791*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4112886070.\nAnswer: 2, 5, 411288607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*h + 60*h + 13*h.\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 85 + -84.7. Sort 4, -0.2, 0, w.\nAnswer: -0.2, 0, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 6 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -21449 + 10723 + 10727. Let x(k) = -k - 10. What is 18*j(u) + 2*x(u)?\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*u = 45, 4*u = -3*w - 4 + 2. Calculate the common denominator of (-6)\/(-20)*185\/w and 0 + -2 + 154\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -4. Let q = 0.11 + 0.29. Let o = 0.7 + -1. Sort o, z, q.\nAnswer: z, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5579 divide 454784696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*u + 4*f, -5*u - 4*f + 33 = -4 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*d*h**3*y**2 + 55202848*d*h**3 + 2*d*y + 264795*h**3*y wrt y?\nAnswer: 6*d*h**3*y + 2*d + 264795*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.33703 centuries to decades.\nAnswer: 783.3703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h**2 - 792*h + 1578. Give l(262).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 106, 965, 3388, 8185, 16166, 28141?\n\"Answer: 135*a**3 - 28*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(153)\/sqrt(36) + sqrt(68)*-3 + sqrt(17)).\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8841\/4 + -2227. Calculate the common denominator of ((-2)\/32)\/((70\/(-21))\/10) and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f**2 - 33*f - 3. Let k be n(-11). Put 1, 0, -4, k in decreasing order.\nAnswer: 1, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -r + 4*h, -104*h = -4*r - 107*h - 19 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 26. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = o - 3. Suppose -s = -2 + 6. Sort o, s, -1 in descending order.\nAnswer: -1, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (1 - -1) - (-18)\/36?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44 - -44. Let z(n) = n**3 - n**2 - 3*n + 2. Let p be z(2). Suppose p = 5*r - r. Is x < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/420 + (-28800)\/1512\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-135)\/36) + 4\/(-16)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**2 + d + 2. Let c(s) = -16*s**2 + 533*s - 269. Let q(b) = -c(b) - 2*k(b). Factor q(f).\nAnswer: 5*(f - 53)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*i - 0*i + 84, 4*s - 180 = -2*i. Let h be 1\/(-5) + (-16)\/(-5). Suppose 25 = h*k - 4*d, -5*d + 11 - s = -4*k. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**3 + 4*p**2 + p + 1. Let m be z(2). Suppose b - 10 = -4*n, 2*n - m*b - 9 = 3. Solve -9 = -3*l + n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 25351 = -5*o, 3*n - 2*o - 22732 = 2631. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93\/10 > -6401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, -4, 207, -8, -2, -3 in decreasing order.\nAnswer: 207, 50, -2, -3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 26 - 21 + 27. Let d be f(3). What is the tens digit of ((44\/d)\/(-1))\/(5\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25590 divided by 8530?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 441 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/131 at least -842275?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/(-385) + 6\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (1 - 2) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.056477682394 less than -0.33?\nAnswer: -0.273522317606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 12\/(-8) + 18\/4. What is the third biggest value in h, 2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -64, -85, -118, -163, -220?\n\"Answer: -6*x**2 - 3*x - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iciiiyiyiicyyciy. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:24 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 167?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 less than 678825?\nAnswer: 678818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**8\/168 + a**7\/35 - 2*a**5\/15 + 11*a**2. Determine g so that h(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14089878.\nAnswer: 2, 3, 11, 71161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Let p be g(3). Let l(a) = -7*a - 19. Let m be l(-2). Let x be (m\/2 + 4)*8\/p. Solve -x*k - 9 = -1 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74273034*w**4 + 2268*w + 6086.\nAnswer: -891276408*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -165*v**3 + 2*v**2 + 5*v + 6. Let l be c(-3). Suppose 5*r - l = -1234. List the prime factors of r.\nAnswer: 2, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 246613 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 660*w**2 + 538*w**6 - 177*w**6 + 207*w**6 + 467*w**6 wrt w.\nAnswer: 124200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (((0 + sqrt(153))*-3 - sqrt(153))*-6 + (0 + sqrt(153))*2 + 1 + sqrt(153) + -3 + sqrt(153))**2)*-5.\nAnswer: -599805 + 1680*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (0 + 0))\/((-60)\/120). What is the third derivative of -70*d**3 - 17*d**3 - 30*d**3 - 101*d**s wrt d?\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -109.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -3\/823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3654.64l to millilitres.\nAnswer: 3654640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * 432\nAnswer: -950.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -7. Let l(q) be the third derivative of -q**5\/60 - q**4\/6 - q**3 + 2*q**2. Give l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32420242 at least as big as 32420232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4*(-3)\/66 - 21948\/(-44) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-4)*(-12)\/(-215))\/(23\/92*-12).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000944 to five decimal places.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/126729 and 41\/253458.\nAnswer: 253458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k + 7. Let p be j(-6). Let w = 41 - p. Calculate the remainder when 57 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 983633 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*n - 10, -n = 6 - 2. Let c(a) = 3*a**2 - 4*a**2 - 5 - p*a - a + 16*a. Calculate the least common multiple of 5 and c(12).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25.6 - 26.194. Round l to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 148448082016 and 218.\nAnswer: 148448082234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 10:29 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63\/7*(-89)\/(534\/(-46)).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315260 or 945776\/3?\nAnswer: 945776\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 3*s + 13*s)*(-s**4 + 2*s**4 + 0*s**3 + s**3).\nAnswer: 5*s**5 + 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 61662 and 171656.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4128 and -52\/21.\nAnswer: 28896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(52\/(416\/24)). Factor 2\/3*k + 2\/9*k**p + 2\/9 + 2\/3*k**2.\nAnswer: 2*(k + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4*t - 7*t + (-t - t + t)*(4 - 2 - 1) - 3*t + 4*t + 0*t - 4 - 2 + 5 + 12*t)*(-5*t**4 - 41 + 41).\nAnswer: -50*t**5 + 5*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34\/13? (a) 2\/3 (b) 2\/7 (c) 1\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 11*a**2 - 38*a + 19. Let s be ((56\/(-12))\/2)\/(1\/6). Is j(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 88583, 1.65, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(8\/3)*a*a)\/((a*a\/(a\/a**(-4)))\/a)*a**(-2\/7)*((a**9*a)\/a)\/a assuming a is positive.\nAnswer: a**(365\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - (-1 - -65))) + (-37 - -18) + 28.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 2*t = s, 5*t = 5*s - 40 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23296)\/176)\/16 + 8?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 2333. Is t(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-1664)*-26*-2*6\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3*m**2\/7 + 1290*m - 54072\/7 = 0.\nAnswer: 6, 3004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/76268 or -1?\nAnswer: 1\/76268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 9*f**2 + 8*f - 10. Let o(v) = -8*v**3 - 26*v**2 + 23*v - 29. Let r(a) = 4*o(a) - 11*s(a). What is r(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 8. Let v be j(-8). Suppose v = 3*s - 6*s + 36. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + 1 + sqrt(17).\nAnswer: -3 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -6 + -8 - (-1 + -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36514139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1748 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -y. Suppose 2*g - y = -0*g. Calculate the remainder when g*5*(1 - 0) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10\/21 - 1\/42. Let w = -1.9 + -4.6. Let t = w - -6. Which is the closest to m? (a) -1\/3 (b) -0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2931607416?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1415949 or -1415875?\nAnswer: -1415875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 18 - 2*x**2 - 2*x + 10 + 16 as j*x + d*x**2 + l and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 215646 divided by 283\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrnr when four letters picked without replacement from {r: 10, n: 2, i: 6, l: 2}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 164693027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1936 = 706*a + 3953 - 23903 for a.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (132\/(-77))\/(9\/(-210)). Calculate the highest common factor of 360 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 4*z**2 - 3*z. Let o be i(-3). Which is the second smallest value? (a) 3 (b) 3\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3344.79 + -3369. Let g = y + 23. Let h = g - 10.19. Round h to zero decimal places.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - ((-20)\/(-5))\/(-1). Let q = 3 + -1. Is (q - 2 - h) + 26 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + v - v**2 + 3*v**2 - 4*v**2 - v**2 + (4*v**2 + 0*v**2 + v**2)*(0 + 2 + 0) in the form s + r*v**2 + u*v and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 5*u + 8, 2*g - 92402 + 92390 = 6*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1929 + -2220.8. Let q = 292 + r. Let n(h) = h**3 - 2*h - 1. Let s be n(2). Which is the closest to 0? (a) q (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m - 84*m**4 - 5*m - 35 + 260*m**5 - 83*m**4 + 167*m**4 wrt m?\nAnswer: 5200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 7) in base 3?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from vvtuv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + i + i)*(-4 + 4 - 2)*(6*i + 2*i**2 - 6*i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/(-8) - (-20)\/(-80). Let v(z) = -z**2 + 7*z + 7. Let w be v(a). Calculate the least common multiple of (2 - 12)*1\/w and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43742?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 69 + -74. Sort -2, n, 1, -3.\nAnswer: n, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*y + 7 = 0, 4*y - 4 = -3*a - a. Let p = 0 + a. Let x be (p\/6)\/(1\/3). Is x at most as big as 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83495 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/81 and -52\/11.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1004 bigger than -822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-55)*2\/(4\/(-5)). Put 2, 5\/4, v, -7 in decreasing order.\nAnswer: 2, 5\/4, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1207, 2055, 4029, 7693, 13611, 22347?\n\"Answer: 94*m**3 - m**2 + 193*m + 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8115\/8 + -1014. What is the second smallest value in m, 36, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:01 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.3 rounded to 0 dps?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 26316630?\nAnswer: -26316631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255194 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a gram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 58\/8 - 4\/16. What is the second derivative of -f - 12 + c*f**5 + 6 + 6 wrt f?\nAnswer: 140*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2989 - 3007. Put -1\/3, o, -13 in descending order.\nAnswer: -1\/3, -13, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 6:52 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275636 = 2*f + 3029122. Let r = f + 26496243\/16. Let z = r - 3638. What is the common denominator of 47\/18 and z?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1706.2 - 1704.2. Put 1, x, 5, 0.2, -2.4 in descending order.\nAnswer: 5, x, 1, 0.2, -2.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276\/506 + 10988\/22 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**4 - 4*i**2 + i - i**2 + i**3 + 6*i**2 to w*i + a*i**3 + s*i**4 + q + d*i**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 254, 567, 880, 1193, 1506, 1819?\n\"Answer: 313*k - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**8\/210 + x**5\/20 - 2*x**3\/3 + 9*x. Let l(a) be the second derivative of v(a). Find the second derivative of l(f) wrt f.\nAnswer: 96*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16b + 7689?\nAnswer: 751b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -42c - 10?\nAnswer: -43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-12) + 21\/(-4))\/((-50)\/20). Solve -i + 3 = -f*r, -r - 3*r = 4*i + 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 368 and 324?\nAnswer: 29808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4\/389, 1, -0.5 in increasing order.\nAnswer: -7, -0.5, 4\/389, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 5. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2. Let p(b) = 114*b + 1. Calculate p(s(f)).\nAnswer: 228*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55852842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/19)*b)**(-5\/9)*b*(b\/(b\/(((b*b\/b**(17\/5))\/b)\/b)))\/b*b**(-21)\/b assuming b is positive.\nAnswer: b**(-22642\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -606002, -605967, -605950, -605957, -605994?\n\"Answer: -j**3 - 3*j**2 + 51*j - 606049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1388030 and 121\/1506?\nAnswer: 4164090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3504619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52033*i - 154454*i + 48558*i - 30865*i.\nAnswer: -188794*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**2 + 7*v. Let r(h) = 2 + 401*h - 2 - 777*h + 388*h. What is s(r(g))?\nAnswer: -432*g**2 + 84*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/7 - -6*(-5)\/(-105). Let h(b) = s*b - 70*b**2 - 1 + 141*b**2 + b - 70*b**2. Determine h(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19326\/11 + 1796911\/1023. Calculate the common denominator of -29\/15 and m.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615059791?\nAnswer: 113, 691, 7877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 5. Suppose 0 = 3*f - m*f + 1368. What are the prime factors of f?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 31\/2 of a tonne?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, -120, -219, -318, -417?\n\"Answer: -99*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46492 and 2596.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89694047, 89694037, 89694021, 89693999?\n\"Answer: -3*g**2 - g + 89694051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 56462 - -1?\nAnswer: 56463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 518819953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 2. Let z be w(1). Suppose z = -2*d - 0*d + 46. Solve -3*h - 8 = -3*o - d, -2*o - 3*h = -15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 30, 67, 114, 177, 262?\n\"Answer: l**3 - l**2 + 33*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 85 = 5*o - c, 3*o - c - 53 = 0. Calculate the greatest common factor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -153, -145, -123, -81, -13, 87, 225, 407?\n\"Answer: z**3 + z**2 - 2*z - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -216 + 206.3. Let r = 7.7 + w. What is the third biggest value in -0.4, r, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4*t + 20 = 0, 4*z + 7 = -3*t + 27. Suppose 21*p - 24*p + z*k = -2139, 0 = k. List the prime factors of p.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 22*c**2 - 17*c - 36. Let y be f(23). Let n = y + 10. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-5)*(-480)\/(-288)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -29*x + 8*x + 2 + 6*x + 4*x. Let j be r(-6). Calculate the highest common divisor of j and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*o**3 + 4*o**2 + 0*o**2 + 2*o + 81*o**3 + (-8 + 10 - 7)*(-4*o**3 + 2*o**3 + 3*o**3) as j*o**3 + v*o + f + p*o**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 63 in 10, 2\/17, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 + 39 = 0. What is the remainder when g is divided by ((-2 - -2) + -4)*-2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39096 = -12*g - 42*g. List the prime factors of g.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*j = 40 + 50 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -13. Suppose -g - 47 = -5*p. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 258*y**2 - 2. Let n(b) be the first derivative of b**2 + 2. Give n(l(r)).\nAnswer: 516*r**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/1 - 1 - (6 + -95). Let b be f\/14 - (-2)\/4. Let c(x) = x**3 - 7*x**2 + x - 2. Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2412, 4768, 7124, 9480, 11836, 14192?\n\"Answer: 2356*p + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94598 by 6757.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-2 - 0) + 13 + -9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 3. Let t = -7 - u. Let s = -1 - t. Solve s*m - 2 = 3*n, -2*n - 5*m = 3*n - 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10032 (base 4) to base 8.\nAnswer: -416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 836 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42020113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/8, -17\/2, -8?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 7 - (35 - (0 + (-20 + -2 - -10)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4727, -837, 3053, 6943, 10833?\n\"Answer: 3890*a - 8617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 3*i - 16. Let s(j) = -25 + 4 - 8 - 4*j - j. Let p be s(-7). Solve i*d + 2 = -p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 7. Let z(s) = 66*s - 3*s**2 + 2*s**2 + 43 - 49*s. Let q be z(19). Give r(q).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 770 is divided by 269?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2766\/(-73760))\/((-6)\/10).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.6802 and 80252.\nAnswer: 80250.3198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -8\/5, -2, 2\/19, 22 in descending order.\nAnswer: 22, 2\/19, -3\/5, -8\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 264573 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45692557?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9.382 * -0.07\nAnswer: -0.65674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 112901197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 4. Let d be (30\/4)\/(2\/c). Let p = d + -10. Solve 10 = -p*z - 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -659292*-0.1\nAnswer: 65929.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -194*q**3 + 1002 wrt q?\nAnswer: -582*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1498 + 1472. Let t = -9 + -12. Which is smaller: t or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = 4*u + 210. Put 2, 0, -1, u in increasing order.\nAnswer: -1, 0, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 34. Let l = -20 - c. Solve -2*o + 4*o + l = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2 + 19*p + 21. Let g be i(9). Let z be -3*(-9)\/(-15)*g\/(-9). Suppose z*o - 9*o = -342. Does 38 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*u - 5*o, -2*o - 3*o + 40 = 5*u. Suppose -v = -u*v + 135. Does 27 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -6*d. Suppose -15*k + 517 + 68 = d. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4953, 5066, 5173, 5274, 5369?\n\"Answer: -3*k**2 + 122*k + 4834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 0*a - 4*a + 16 = 0, a - 4 = -3*y. Suppose -5*o + 3*o - 8 = y, -5*o = s - 17. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -179\/50580 and 21\/10.\nAnswer: 50580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*h + 26595 = 203*h. What are the prime factors of h?\nAnswer: 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 32 = 6*l, -130*l + 3*r = -126*l - 43 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125430 is divided by 3791.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 501, 1096, 1651, 2166?\n\"Answer: -20*v**2 + 655*v - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + -2. Let g = 1822 - 36413\/20. What is the common denominator of g and (-3 - (-290)\/36) + x?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - ((sqrt(175) + 0)**2 + 1) - -1*(sqrt(175) - (sqrt(175) + -3))**2) + (1*sqrt(175) + 2 + (sqrt(175) - (0 + sqrt(175) + 3))**2)*-1.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 998864142 to the power of 1\/3, to the nearest integer?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 533 and 8657363.\nAnswer: 354951883","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 + 6*l**3 - 2*l**3)*(2*l**2 + 2*l**2 - 2*l**2 + (0 + 1 - 3)*(-l**2 + 2*l**2 - 3*l**2) - l + l - 2*l**2 - 3*l**2 + 1 - 1).\nAnswer: 8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = -t + 2*t, 3*t - 5*d = -6 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 900869*x**3 + 4*x**2 + x + 9212 wrt x?\nAnswer: 5405214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 2, n: 1, d: 2}. What is prob of picking 1 n and 1 d?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 147016031 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 120, 158, 176, 168, 128, 50, -72?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 smaller than 76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -37. Let y(t) = -2*t**3 - 4*t + 2. Let l(b) = -4*b**3 + b**2 - 9*b + 5. Give x*y(n) - 2*l(n).\nAnswer: -2*n**3 - 2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiiu when four letters picked without replacement from upipaiii.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -0.02, -1.864, 1\/3 in decreasing order.\nAnswer: 1\/3, -0.02, -1.864, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*b + 3*b + b + (-1 + 2 + 0)*(-b + 4*b - b) - 5072*b + 14158*b - 3876*b as p*b + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -366, -5, -4, -12 in ascending order.\nAnswer: -366, -12, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16\/(-96) + (-662)\/(-12). Is 55 equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 11*u - 16. Suppose 0 = -5*v + u*x - 4, v - 2 = -v - 2*x. Let d(o) = -2*o + 2. Let y be d(-8). Solve v = 3*i + 3*z - 12, 2*i - y = -i - 5*z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4\/7, -3\/4, -72?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**3\/7 + 20*v**2\/7 + 12*v\/7 - 36\/7 = 0. Calculate v.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 26449519633 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -8 (b) 0.1 (c) -31.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 261782 - 261782 - 499*c + 2*c - 2*c - c + (-1 + 1 + 1)*(5 - 5 - c) - 3*c - 4 + 4 + 5*c - 3*c - c.\nAnswer: -503*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.07 (b) -67 (c) -2\/61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3724 + 0.71478. Round f to two dps.\nAnswer: -0.66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 2*n**2 + 3*n + 2. Let m be u(-2). Suppose 9*p = m*p. Suppose p = 2*b - 62 - 2. What is the highest common factor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30.9 in 4, 1, -0.03, -227?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 715280 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 881217048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 931177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 1)*(-7*f - 2 + 2) - 5*f - 6 + 6 to i*f + x and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -t + 79199997, 48002587 + 11397407 = 3*p + 2*t. Suppose -3*d + 14*d = p. What is d rounded to the nearest 100000?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*o + 36 = -28*o. Let m(g) be the second derivative of 1\/12*g**3 - 2*g - 1\/48*g**4 + 0 + 0*g**o. Let m(c) = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -18*i + 12*i + 5*i. Let a(b) = -22*b. Give a(j(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -11*c - 25. Let l(j) = -31*j - 74. Give -6*l(i) + 17*p(i).\nAnswer: -i + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9, s: 7}. Give prob of sequence qqss.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1507 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -334 + 419. List the prime factors of o.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 332282377414 and 2?\nAnswer: 332282377412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 410, 445, 480, 515?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -11*c + 8. Sort -3, c, -13 in decreasing order.\nAnswer: c, -3, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2 - 6668*v - 6670 = 0.\nAnswer: -1, 3335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -88 + 128115?\nAnswer: 128016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.992 - 0.008. Let s = -4.8 - u. Which is the biggest value? (a) 3\/5 (b) -1.5 (c) s (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**5 + b**2 - b**4 + b**4 + b**5 + 3*b**5 - 3*b**5 - 4*b**5 + (-b**4 + 0*b**4 + 3*b**4)*(-4*b + 2*b + 3*b) + 2*b**5 + 6*b**5 - 6*b**5.\nAnswer: 2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -2*c**7\/945 - 61*c**6\/1080 - 77*c**5\/180 - 107*c**4\/108 - 20*c**3\/27 + c**2 - 107*c. Find v such that d(v) = 0.\nAnswer: -10, -4, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/18 (b) -2 (c) -5.53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 282 and 470.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31 - -29. Does 20 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/24)\/((-2)\/(-168)*7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 136605 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 5*f**2 + 3*f + 5. Suppose -10*t = -9*t - 4. Give c(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/810 and 139\/66?\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-18)\/(-16))*6\/120*-1\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46978003 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 661 or 660?\nAnswer: 660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = 4*n + 44, 9382*b - 3*n - 40 = 9372*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -5*y + 5*s, -5*y + s = 2*s - 26. Suppose 0 = -f - 1 + y. Solve 2*v + 4*z - 5*z + f = 0, 4*z + 45 = -5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7849*k**2 + 28350854 - 28350854 to the form g*k + p*k**2 + b and give p.\nAnswer: -7849","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from slwdixw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -27*d + 2651. Let q be h(97). What is the greatest common factor of 2128 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*t + 8 = 4*i, 0 = -2*i + 2*t + 12. Let g(x) = x + 2. List the prime factors of g(i).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/282 and -37\/3.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-10)*-2*(-2)\/(-10).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0089*-0.2\nAnswer: -0.00178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277618506 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(25\/6) - (-155880)\/(-600))\/1. Which is the closest to t? (a) -0.2 (b) 0.3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -71.\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 11, -3 in increasing order.\nAnswer: -5, -3, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -23. Suppose 0 = -3*w - 5*c + 17, 3*w + 0 = -4*c + 19. Is i at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a + 4*a = -4*l + 4, 2*l - 2 = a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/(sqrt(15)\/sqrt(45)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 453005 (base 7) to base 4.\nAnswer: 103212023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2516*n - 92. What is the thousands digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 + 20. Let w be 14\/49 - (-12)\/y. Suppose -52 = -4*q + 4*c, 0 = -2*q - c - 3*c + 8. Solve 0 = -0*u + w*u + q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 960426 and 27960?\nAnswer: 19208520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 259 = -26*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**5 - 6*t**4 - 84*t**3 - 200*t**2 - 144*t = 0 for t.\nAnswer: -2, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*u = 24, -2*m = m - u - 15. Suppose o + o - m = 0. Solve 2*l - o = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -9438*l + 1528958. Calculate r(162).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15773*p = 15778*p - 2*u + 25, -2*p - 4*u = -14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + c + 1. Let k be n(3). What is the highest common factor of 55 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*c = 106*c + 264 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4.3 times -4884\nAnswer: 21001.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 3*k - 4, -3*d - 14 = -4*k - k. Let o(f) = f + 7. Calculate the least common multiple of o(k) and 26.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-182) + (-4209)\/(-10166)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = t - 5 + 2, -t - 3*v = 5 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h*n**2 - 3968309*h*n*x**3 + 59*n**2*x - 328968*n*x**3 wrt h?\nAnswer: 7*n**2 - 3968309*n*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 7*w + 4. Let d be k(6). Let g be (1034\/33)\/(d\/3). Let h = g + 69. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/8*(16\/40)\/1)\/((-33)\/1430).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1158 - 1155. Suppose 4*d + 3*v = -231 - 111, -4*d - 328 = -4*v. Let q be (4\/(-8))\/((-3)\/d). Sort z, q, -3 in increasing order.\nAnswer: q, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 + 2*i**2 - 6*i - 1. Is v(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2543690, 5087412, 7631134, 10174856?\nAnswer: 12718578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (168\/(-1050))\/((-252)\/(-90))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99 + 105. Let v be (-71)\/(-5) + 8\/10. Suppose f = -4*f + p + v, 2*f + 5*p = 33. Calculate the highest common divisor of f and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -665 divided by 218\nAnswer: -665\/218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 208700?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzqzqqzzqzzqzz. Give prob of sequence zq.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(-1)\/2*(-48)\/(-30)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 2. Let c be (-14)\/(-42) + 1\/(-9). What is the nearest to -0.1 in p, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 15*y**2 + 19*y - 57. Let d be f(6). Let v = -23 - d. List the prime factors of v.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1\/4602051 - -12370824434\/32214357. Let w = -384 + t. Suppose 0 = -23*d + 9 + 14. Is d greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6099060851.\nAnswer: 13, 173, 2711899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*i - 145, 5*i + 16 = 2*r - 13. What is the remainder when r is divided by 7\/(-3)*(0 + -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -1095*y - 46. Let r(g) = 73365*g + 3105. Give -270*i(l) - 4*r(l).\nAnswer: 2190*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, -6, 7, 5 in decreasing order.\nAnswer: 10, 7, 5, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46300 - 67252 = -47*f. What are the prime factors of f?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*r = 201*r + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 39*p + 79. Let y be t(41). Put y, 5, 0.3, 8 in decreasing order.\nAnswer: 8, 5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*t + 4*m - 2, 2*m = 4*t - 6. Suppose -3*a - 4 = -3*j + 5, 2*a + 2*j = -6. Let k = t - a. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 653 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 783.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 173250420?\nAnswer: 346500840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwgmejetgjegewtt. What is prob of sequence mj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 - 4.8. Let b = 214.7 - 105. Let k = b - 110. Put k, r, -2 in decreasing order.\nAnswer: k, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 1 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*h + 3 - 3 + 4*h)*(-1 + 1 + 2).\nAnswer: -344*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 377532*k + 19.\nAnswer: 377532*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of z**4\/4 - 11*z**3\/3 + 1051*z**2 + z. Determine r(-11).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4344223 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 137*s - 310. What is the closest to 4\/5 in 0.2, s, -64?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2917481756?\nAnswer: 2, 7, 14885111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24779507 is divided by 7301.\nAnswer: 7214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + 2. Let u(b) = -7*b + 4. Suppose 5*f - g = 12, -5*f - 11*g = -7*g - 27. Let x(s) = f*d(s) - 2*u(s). Give x(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 76 and 20.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15450806 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/1543 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 minus -2180?\nAnswer: 2164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 494\/52)\/(((-1539)\/6)\/27)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 4*k + z, 2*k + 13*z - 17*z - 32 + 10 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6337 and -25?\nAnswer: 6362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 PM and 11:14 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108667?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15603 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4 - 4. Let p be w\/(-9) + (-2)\/(-9). Let u be (-2 - 3\/(-3))*p\/7. Solve -2*r = -5*r - z, u = -r + 2*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 184 (b) 0 (c) -3 (d) 3\/2551 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20460, -42569, -64666, -86745, -108800, -130825?\nAnswer: -152814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124797216 divided by 31199304?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0253038 rounded to 5 decimal places?\nAnswer: 0.0253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5224117\/72 + -72556. Calculate the common denominator of -55\/24 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1453*f. Let z(w) = 283453*w. What is z(b(c))?\nAnswer: 411857209*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 41351520 and 44464?\nAnswer: 41351520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*s + 1828 = 0, -2*d - 54 = -2*s - 1276. Let a = 601 - d. Put a, -46, 1 in ascending order.\nAnswer: -46, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11434420 + -41?\nAnswer: 11434335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 293 - 3937\nAnswer: -3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 5, 6, 0.5, 4, -3682?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1702599.\nAnswer: 3, 567533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 f when three letters picked without replacement from {m: 1, f: 6, p: 1, q: 2, c: 8}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -13*o**3\/3 - 31. Let l(k) = 2*k. Determine z(l(p)).\nAnswer: -52*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -798, -793, -788, -783?\nAnswer: -778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 157756 = 157712?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(275)*-3 + 1.\nAnswer: -15*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/1701850 and -87\/200.\nAnswer: 6807400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -93 - -93. Let n be ((-15)\/10)\/((-6)\/16) + o. Find l, given that 0*l**3 + 3\/2*l**2 + 0 - 3\/2*l**n + 0*l = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 20 = -2*b. Factor 0*v**b + 4*v**4 - 7*v**4 - 2*v**3 - v**3.\nAnswer: -3*v**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 28.5. Let g = -0.04 + 4.04. Let r = 2 - g. Which is the second smallest value? (a) r (b) p (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2. Let b be (-3*(-55)\/(-132))\/(2\/(-4)). Let x(r) be the second derivative of 0 + b*r**4 + 0*r**2 + 0*r**3 + 6*r. Give x(m(d)).\nAnswer: 30*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of -15\/2*x**2 - x + 2. Suppose -1 = -0*d + d. What is w(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 3*i - 5*v - 172, -5*i + 3*v = -477. Suppose 16*q + i = 22*q. Solve 0 = -y - y, 4*m - 4*y - q = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of 12167*l**6\/45 + 2645*l**5\/2 + 1633*l**4\/3 + 836*l**3\/9 + 8*l**2 + l + 119. Factor g(r).\nAnswer: 2*(r + 3)*(23*r + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - (42 + 29 + -63).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 199756.86 rounded to the nearest 10000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*s**2*y**2 - 19*b*s**2 + b*s + 1922*s**2*y**2 - 2*s - 133*y wrt y.\nAnswer: 14*b*s**2 + 3844*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 8:01 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3 - 8*o + 2*o + 8*o - 1. What is m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 28 = -52. Let x(m) = 310*m**2 + 388*m. Let a(f) = -465*f**2 - 583*f. Let r(i) = s*x(i) - 5*a(i). Find the second derivative of r(o) wrt o.\nAnswer: -310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287186.085735 - 4.185735. Let c = -287069.90395 + d. Let t = 112 - c. Round t to four decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + f - 740. Is f a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 222, 441, 670, 915, 1182?\n\"Answer: g**3 - g**2 + 215*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1018824?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m + 460*m**2 + 41*m - 12*m.\nAnswer: 460*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 236 = -2*k. Suppose -3*j + 88 = -k. What is the highest common factor of 7 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1438, -5852, -13178, -23386, -36446, -52328, -71002, -92438?\nAnswer: -116606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14150813 is divided by 16512?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of l**5\/30 - l**4\/12 + l**3\/3 + 112*l**2. Is q(-3) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0*q - q + (3 - 2 - 2)*(0*q + q - 2*q) + 4*q - 3*q - 2*q + q - q + 2*q + 2*q - 2*q - 3*q + q + 2*q - q + (-q + 3*q + 0*q)*(0 - 1 - 1))*(1 + 0 - 2).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2057168 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p - p + 23*p**2 - 22*p**2 + 72*p**3 wrt p.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.94 - 0.06. Let q(w) = -2*w + 6. Let p be q(5). Let x be -1 - (-1 + p\/(-6)). Which is the third smallest value? (a) -1\/2 (b) k (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21867 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*u = -7, -u - 11 + 4 = -3*r. Sort 98, -3, r in ascending order.\nAnswer: -3, r, 98","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11127*d + 10 = 11129*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107121124.\nAnswer: 2, 11, 61, 107, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24372, -0.4, -2720 in decreasing order.\nAnswer: -0.4, -2720, -24372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 q when two letters picked without replacement from zshxxcxqchc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2 + 0 - -1. Sort r, 1, 5 in descending order.\nAnswer: 5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/(2 + 55\/(-30)). Suppose -15*g = -17*g + u. Let f = 27 - g. Which is the third biggest value? (a) f (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25181*a**4 + 5*a**2 - 7731*a + 2?\nAnswer: 604344*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -0.1, -632?\nAnswer: -632","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279653743.\nAnswer: 41, 6820823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -15*h**2 - 4*h + 3. What is t(-3)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23 and 110.63.\nAnswer: -2544.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0*-9.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104431 is divided by 187.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 6 = i, -5*f + 19 = 2*i for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1525*w + 1520*w - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/5*(-60)\/126. Let j = d + 6\/7. Let k = 143.87 - 144. What is the fourth biggest value in j, -5, k, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 266*y - 130*y = 105*y + 465 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -339851, -339516, -339179, -338840, -338499?\n\"Answer: f**2 + 332*f - 340184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 14*o**2 - 101*o - 90. Let l(a) = 55*a - 202. Let g(y) = 4*l(y) - 7*m(y). Find the first derivative of g(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -20*(-3 - (-39)\/15). Solve 0 = -u*t + 3*t - 25 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130\/3 - -43. Is -5 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/9 - (-2 + (-16)\/(-6)). Is 1 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l**3 + 11*l**2 + 11*l - 81. Does 6 divide h(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 27202\nAnswer: 1\/27202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -34 + 36. Solve -3*v + 3*o - 2*o = 0, w*v + 4 = 2*o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/(-28))\/((-11)\/(-132))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033823 to 4 dps.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 4*w. Suppose w*p + 11 - 26 = 0. Suppose 94 = p*l - 136. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*sqrt(500) + (sqrt(500) - sqrt(500)*2)*1 + -2)**2*-4.\nAnswer: -98016 + 1120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -8. Let r(h) be the third derivative of -h**5\/60 - h**4\/4 + h**2. Give r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 8, -1\/3, -5\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 18*x - 65. What is a(6)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15*((-2)\/1)\/(-2). Let l be d\/(-10)*(-4)\/(-6). Let f(q) = -q**3 + 2*q**2. What is the units digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.499 + 2.2\nAnswer: 2.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 c when four letters picked without replacement from zczxxzzcfczxzxfxz?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1 = 5*q, -4*z - 11 = 3*q - 0*z. Suppose 2*j - 3*h - 23 = 0, -3*h = 4*j + j - 89. Let i be (-8)\/j*(3 - 1). Is q < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1360 and -0.4?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 28264876 <= 28264877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*w + 847*w - 2*w**2 + 854*w + 836*w - 3384*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 2*g. Let i(q) be the second derivative of 0*q**4 - 1\/15*q**6 + q**2 - q + 0*q**5 + 0 + g*q**3. What is the first derivative of i(d) wrt d?\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33186 to the power of 1\/2, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 7 - 26*x**4 + 1 wrt x?\nAnswer: -104*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5007029\/14731794 - 5\/95661. Calculate the common denominator of p and 7\/20.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59.4 and 402.\nAnswer: 23878.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + -50. Let f = -22.9824 - g. What is f rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/3)\/((-2)\/(-6)). Let i be (-1)\/2 + (-604)\/z. List the prime factors of i\/9 - 2\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5626043*s**4 + 1660422 wrt s.\nAnswer: 22504172*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 0 = 20. Suppose -w - f*h = -3*h - 25, -28 = -w - 2*h. Suppose -3*a = -3*d + 48, d - w = -a - a. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1983 - -2982. Is 37 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:39 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-8)*4\/78*13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -46. Which is bigger: s or 15?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1492 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 246792?\nAnswer: -11\/246792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -18.1. Let l = -49\/95 + 6\/19. Which is the third biggest value? (a) o (b) 1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 8, 551, 1, -4, -1 in descending order.\nAnswer: 551, 8, 4, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 178, 400, 710, 1108, 1594, 2168?\nAnswer: 2830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1497, -2967, -4441, -5919?\nAnswer: -7401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 w when three letters picked without replacement from {e: 2, r: 3, o: 4, y: 1, h: 1, w: 4}.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -136412336 divided by 3\nAnswer: -136412336\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*k - 2*h = -4, k + 2*h - 4 = 0. Let a(o) = 58 - 98 - o**2 + 306 + 2*o + 205. Is a(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**4\/24 - j**3\/3 + 26*j**2. Calculate v(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*g = -2, v - 6*v + 3*g = -23. Suppose 4*h + 5*j = -32, 0 = -4*h + j + 3*j + v. Which is the closest to 0? (a) -0.03 (b) h (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + p. Let z be o(1). Suppose -2*s - 2*s - 8 = -z*c, s = -4*c + 8. Suppose 0 = c*q + 2*r - 372, -912 = -5*q - r + 5*r. Is 38 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.111*0.035.\nAnswer: 0.003885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -45.9824. Round t to three dps.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 3184?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8)\/(s\/(s*(s\/(s*s\/(s\/s**(-11)))*s)\/s*s*s*s)*s))**(-42) assuming s is positive.\nAnswer: s**(-2205\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -43749 divided by 2064?\nAnswer: -14583\/688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/q*q*q**(3\/2)*q)**(-2\/19)*(q*q\/(q**4\/q)*q*q\/(q**(1\/4)\/q))\/(q**(-2\/9)\/q*(q\/(q\/q**(-2\/17)))\/q) assuming q is positive.\nAnswer: q**(51841\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -12, 5, 0.2, 2.881, 2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (14\/(-4))\/((-1)\/2). What is the remainder when t + (-2 - -1) - -1 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -11*r - 183. Let n be d(-16). Let h = -2 + 11\/5. What is the second biggest value in -1\/2, n, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a - 9*a - 231 = 0 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 2:42 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12.144 (b) 0.5 (c) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -82*b - 347. What is v(-3)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 105 + 21. Let d(u) = 7*u - 124. Calculate d(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 16) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50654213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((1 - 1) + 0 - -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2)\/(w\/((w*(w\/(w*w*w**(-13)))\/w*w)\/w))*w**(6\/11)*((w*w\/(w\/(w\/w**4)))\/w)\/w)**(3\/13) assuming w is positive.\nAnswer: w**(183\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11960 + -5?\nAnswer: 1195a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 + -4)*(-1)\/(-14) - (-161417)\/(-8897).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 19443*d. Let n(a) = 2*a**2. Calculate n(j(v)).\nAnswer: 756060498*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/90*45\/6\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.647 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 614926\/2184357 + 12\/12341. Let x = 3\/59 + q. Solve -x*l**5 + 2\/3*l**3 - 2\/3*l**4 + 2\/3 + 7\/3*l + 8\/3*l**2 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5497.6 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.160464 to 3 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.33 - -0.36. Let a = o + -17.03. Let d = -19 - a. Which is smaller: d or 2\/47?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1101111011001001111 (base 2) to base 6\nAnswer: 13440211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 12 + 13 = 2*n, 3*t = -3*n + 42. Let x(b) = -26*b**3 - 16*b - 16. Let h(i) = 0*i**3 - 5*i**3 - 3*i - 1 - 2. Give t*x(l) - 16*h(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 8:19 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*m - 191 + 551 = 0. List the prime factors of (0\/(-4) + -176)\/(m\/(-18)).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-284 + 250 - (-2 - 21)) + 13 - (2 + 58).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -725739, -1451466, -2177193, -2902920, -3628647?\n\"Answer: -725727*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -314138\/7 + 44877. Let a = -0.1 - 0. Let i = -0.3 - a. Sort -2, i, p in ascending order.\nAnswer: -2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**4\/24 + 7*h**3\/6 - h**2. Let l be o(-19). Round l to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 56.5 - 95.5. Which is the second biggest value? (a) -3\/2 (b) d (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10790 (base 13) to base 10.\nAnswer: 29861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1538913?\nAnswer: 3, 73, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 18, f: 1, h: 1}. What is prob of picking 1 k and 1 f?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 585411 divided by -585411?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1499081 is divided by 259.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -951947, -951951, -951967, -952001, -952059, -952147?\nAnswer: -952271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*d + h, 2*d - 3*h = -2*h + 9. Is 4898\/d + 30\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 868\/585 - 17\/65. Let j(z) = z**2 + 3*z + 1. Let q be j(-3). What is the common denominator of (q - 1) + 130\/(-6) and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.48 - -16. Let a = 0.08 + l. Let q = -4.6 + a. Sort 0.03, 5, q in descending order.\nAnswer: 5, 0.03, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 + 8*u**2 + 7*u - 6. Let w(x) be the third derivative of 0 + 19*x**2 - 1\/24*x**4 + 0*x - 5\/2*x**3. Let p be w(-8). Calculate f(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 61*k**2 - 14*k**2 + 5*k - 18*k**2 - 1 - 17*k**2 - 16*k**2. Suppose -15 = -3*i - 0*i. Let u(z) = -9*z**2 + 11*z - 3. Determine i*a(w) - 2*u(w).\nAnswer: -2*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -24401?\nAnswer: -24402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (29 - (74 + -14) - 14) + -17?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*f, -f = -0*u + 5*u - 12. What is the third derivative of -19*b**u - 111*b**4 - 1 + 112*b**4 - b**2 - 8*b**2 wrt b?\nAnswer: 24*b - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32 + 6?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f = -24*f + 17730. What is the remainder when f is divided by 148?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 + (16 - 34) - (18 - 0)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 883 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 7, j: 2}. Give prob of sequence dj.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 577 is divided by 95?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5566803 to the power of 1\/2, to the nearest integer?\nAnswer: 2359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 296\/(-80)*15\/(-24) and (-197)\/(-60) - 4\/20.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1162687 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 56 + -46. Let x be (9\/(-15))\/(((-6)\/i)\/(-3)). Let k(j) = 6*j - 2*j - 3*j. Calculate k(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from bkzkkkkkzbkbkkbkkzjb?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*s + 2*s - 29, -5*s - 2*a - 52 = 0. Let j be (-13 + 18)*(-48)\/s. What is the highest common divisor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*k + 4*k**4 - 9*k**4 + 3*k**4)*(5 - 2 - 1)*(-1 - 2 + 2) in the form a*k**4 + i*k**2 + d*k + r*k**3 + v and give d.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*q**2 + 53*q**2 - 25*q**2 - q to z*q + p*q**2 + u and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.25, 0.6, -5, 3\/49?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*8\/(-20)*1. Suppose 6 = -h*t + 28. List the prime factors of t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3492 and 2772?\nAnswer: 268884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.05, 3, -4, -322?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9304 or -8295?\nAnswer: -9304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16378.\nAnswer: 2, 19, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z - 1 + 2*z - z. Let l(t) = 2*t + 11. Let w be l(-5). Let b(a) = -10*a + 8. Let j(s) = w*b(s) + 8*i(s). Let v(n) = 2*n. Calculate v(j(p)).\nAnswer: -4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 196*5406419\nAnswer: 1059658124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14132, 14131, 14130?\nAnswer: 14129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351 = -61*g + 473 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -5*g - 51. Let p(j) = j + 6. Give 5*p(a) + 6*v(a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -52*h**2 - 10*h**2 - 13*h**2 + 25*h**2. Let c(s) = 8*s. Calculate n(c(z)).\nAnswer: -3200*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -57 - -57.16. Which is the fourth biggest value? (a) 1\/5 (b) -2 (c) n (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 1 - 131. Suppose x = -3*a + 5*a. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 8*g**2 + 6*g - 4. Let s be t(-7). Let c be s\/9*(11 + 1). Solve -c*y = d + 5, -3*d = 2*y - 0*d + 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000153172069 to seven dps.\nAnswer: 0.0001532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1303122 - 1121113?\nAnswer: -3030301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 - 2904*n\/13 - 261290\/13.\nAnswer: 2*(n - 1537)*(n + 85)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 6. Suppose -23*o = -32*o + 45. Suppose 34*v - 33*v = 1. Let q(g) = g - 1. Calculate o*q(m) + v*d(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-7)*21\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7651176 + 4?\nAnswer: -7651172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1)*d)\/d*d*d**14)\/(d\/(d\/(d*(d**(-2\/45)\/d)\/d))*d\/(d\/(d*d*(d\/(d\/d**(-6\/13)*d)*d)\/d*d*d))))**(8\/5))**(-8) assuming d is positive.\nAnswer: d**(-468224\/2925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*5\/5*26\/(-312)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2 + 890*y = 0. Calculate y.\nAnswer: 0, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 10*n + 2. Let r be y(7). Calculate the highest common divisor of 69 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52715 and 12545?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3602 (base 7) in base 8?\nAnswer: -2455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1015.23*-0.1\nAnswer: 101.523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((-4 - -4 - 4) + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -109. Let h be ((-6)\/(-10))\/(n\/65). Solve 0 = h*a - 0*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1125 * 4.2\nAnswer: -0.4725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 4 + -1 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 10 + 9 - 2*p**3 + (-2 - 3 + 4)*(-3*p**3 + 0*p**3 + 2*p**3) + 11*p**3 - 3*p**3 + 5*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((0 - -15) + 0)*8\/6. Suppose 8*z - 1528 = 232. What is the highest common factor of z and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.9078509ns to hours.\nAnswer: 0.00000000000219662525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*i = 60*i + 2600. What are the prime factors of i?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154 + 157. Suppose -n*y = -5*b - 1481, -2*b - b = 12. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316927661 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13473625 divided by 25?\nAnswer: 538945","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -1 (c) -1\/6 (d) 3 (e) -462\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12310 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -37*u + 9. Let j be y(-7). Let q be j\/52 + 2\/(-13). Suppose 2*r + 8 = 0, q*n = 2*r + 4 + 4. Which is bigger: -1\/6 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x**2 - 55*x**2 + 27*x**2 + 23*x**2.\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45, -78, -111, -144?\n\"Answer: -33*w - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104*k**3 + 10*k + 36*k**3 - 10*k + 7 wrt k?\nAnswer: -204*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**5 + 1171*v**4\/3 + 22891*v**3\/3 + 455*v**2 - 1014*v = 0.\nAnswer: -39, -2\/5, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 + t - 3. Let c be s(1). Let b(i) = -i**2 + 5*i - 7. Let q be b(5). Put c, -1, q in increasing order.\nAnswer: q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 x when four letters picked without replacement from wxxwxx?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 - -2.95. Let h = -34.4 + 34. Let d = 0.05 - 0.15. Sort k, h, d in ascending order.\nAnswer: h, d, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29680076 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 13*n**3 - 7*n**2 + 21*n + 11. Let g(l) = 7*l**3 - 4*l**2 + 11*l + 6. Let y(w) = -w**2 + 55*w + 1142. Let d be y(71). What is d*k(z) - 11*g(z)?\nAnswer: z**3 + 2*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 4*u - 2. Let c(o) = o**2 - 4*o + 1. Let l(w) = 7*c(w) + 6*k(w). Let h be l(4). Let n(q) = -q - 1. Determine n(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.5102939 rounded to one decimal place?\nAnswer: -116.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -3, 0.1, 0.4, -0.17?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9920 and 327360.\nAnswer: 327360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8001 and 49352835.\nAnswer: 2667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**2 + 3*x - 3. Let z(n) = -2*n**2 - n + 2. What is -3*c(m) - 5*z(m)?\nAnswer: m**2 - 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 162 = -4*a. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 0 = -10*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-204102)\/(-8004)*14\/102.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*d - p = 18, 5*d - 5*p - 30 = 0. Suppose 0 = -w + d*w. Solve r + 3 + 0 = w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (328\/(-12))\/(4\/18). Let t = -53 - k. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15104887*0.26\nAnswer: 3927270.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10558*b + b**2 - 10558*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from mmrrmmrp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 14432?\nAnswer: -14432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of 11\/4*y**4 - 99 + 96*y**2 + 0*y**3 - 1\/5*y**5 + 0*y. What is the second derivative of t(g) wrt g?\nAnswer: -12*g**2 + 66*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.2. Suppose 6*d - 17 = 28*d - 193. Is d at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7.6 + 0.6. Let p = 579299\/5 - 115860. What is the second biggest value in 3, p, j, -0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 6*l + 154 - 210. Solve -l*o = 97 - 153 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 31 = -274. Let a = -272 - y. Calculate the least common multiple of a and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 335 = 3*c, -215 = -s + 2*c - 48. Suppose -2*l - l - 129 = 3*f, s = -4*l - f. Let i = l + 44. Solve 0 = u - 0 - i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 2 i when four letters picked without replacement from liliilailala?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60*-4*(-15)\/(-300)*-1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/(-3))\/(2\/(-10)). Suppose -7090 = y*i - 17090. What is i rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -404 (base 13) to base 16.\nAnswer: -2a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18112752 by 92412.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465785.\nAnswer: 5, 19, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 160572 and 160572 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.04 (b) -0.2 (c) -0.5 (d) -1 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 12:48 AM?\nAnswer: 12:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one quarters of a tonne?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*u - 31*u = 2*u - 2805 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103005 by 105.\nAnswer: 981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate n*v**2 - 13*n*v + 1875513*n - 198*v**2 - 2*v wrt v.\nAnswer: 2*n*v - 13*n - 396*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*i + 136, 2*j + 3*i = 39 - 130. Let o be (-422)\/(-22) + 8\/j. What is the second derivative of 6*w**3 + 10*w - o*w + 6*w wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9}. Give prob of picking 2 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 367*v = 355*v. Solve 3*i - 9 = 5*q, -3*i + 2*q = -v*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7539898363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 80 = l. Suppose 5*f + l = 5*v, -5*f = -4*v + v + 28. Let s(k) = -72*k + 15. Is s(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 < 47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nx when two letters picked without replacement from {x: 4, r: 2, n: 1, c: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29425*f**2*h**2 + 4*f**2 - f*h + 2*h**2 + 1339*h wrt h.\nAnswer: 58850*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d3 + -2c?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -14*u**2 + 14*u**2 - 9*u**2 - 20*u**2 + 38*u**2. Let m(k) = -23*k. What is m(v(t))?\nAnswer: -207*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -487, -475, -463?\n\"Answer: 12*c - 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 0*y - y + 5*y**2 + 2. Is n(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + (-5*41)\/(-5). Which is greater: 38 or i?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a meter in millimeters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -829*q**2 + 29887*q**2 + 6867*q**2.\nAnswer: 35925*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/10485532 and 13\/10242.\nAnswer: 94369788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 - l**3 - 32*l**2 + 519*l**2.\nAnswer: -5*l**3 + 487*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6.2. Let g = -25 + 24. What is the nearest to -1 in t, g, 0.04?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3646*g**2 + 1. Let z(y) = -227*y**2. What is t(z(x))?\nAnswer: 187874734*x**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -28. What is the units digit of (-163)\/b + (-4)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/2)*(g*(g*((g\/((g\/(g\/(g\/(g**13\/g))))\/g))\/g*g*g)\/g)\/g*g)\/g)\/(g**5*(g\/(g**(-2\/3)*g))\/g) assuming g is positive.\nAnswer: g**(59\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -20, -29, -38, -47?\n\"Answer: -9*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1800) - -1*sqrt(1800)))\/(sqrt(18)\/(4*sqrt(12)\/sqrt(4))).\nAnswer: -400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k - 2*k - 4*k. Let l(h) = 3*h. Let n(w) = -16*w. Let f(c) = 22*l(c) + 4*n(c). Calculate f(y(q)).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) + -2*sqrt(209)*-4 + 6*sqrt(209)*-1)\/(-2*sqrt(539)*-2 - sqrt(539))*-5.\nAnswer: -5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r + 5*b = -30, -5*r + 5*b + 73 - 53 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 337\/(1668150\/675)*(-76)\/3.\nAnswer: -38\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2738*o**2 + 7104*o - 4608.\nAnswer: -2*(37*o - 48)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6497887 and 0.4.\nAnswer: -6497886.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8228 = 44*f + 8228. Which is the closest to f? (a) -33 (b) -4 (c) -50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - (1*12)\/3. Let x be (j*(1 + -2))\/1. Suppose -h = m - 16, 0 = -6*h + h + x*m + 94. 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: Find the second derivative of 456545*o**3 + 35*o**2*z + 37930*o*z - 181*o wrt o.\nAnswer: 2739270*o + 70*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-87))\/((-2)\/(-60)). Let j = 39495\/93496 - -839\/403. Let u = j + r. What is the common denominator of 125\/18 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 16*u - 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16343 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 0.2, 0.02, -0.03, 3, 2 in descending order.\nAnswer: 3, 2, 0.2, 0.02, -0.03, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3612 - -40408. Suppose 2*c = -0*c + z. Suppose -2*i + i + 5*v = c, -21994 = i + 3*v. What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 38959191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/272 and -3\/13?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/4 + 9*k**3\/2 + 61*k**2\/4 - 45*k + 25.\nAnswer: (k - 1)**2*(k + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4*r - 30*r - 9*r)*(-12 - 9 + 7).\nAnswer: 490*r + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*m**2 + 146*m**2 - 60*m**3 - 2 + 175*m**2 + 190*m**2.\nAnswer: -60*m**3 + 14*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - a212815?\nAnswer: -a212820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and -513310.\nAnswer: -3593170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 21.99988. What is i rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53162629.41000069 - 53162629. Let v = 0.41 - m. Round v to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 4)*(-2)\/(-4). Suppose 0 = -z + p - 6, 5*z + 15 = 5*j. What is the common denominator of 33\/20 and j\/1 - (-63)\/22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -35. Let n(z) = 44 + 8*z - r - z. Let w(j) = 3*j - 5*j + 3*j. Determine n(w(p)).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 6 = m - 3*m, 4*m + 1 = 5*i. Calculate the greatest common factor of 7 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-437186)\/(-2767)*(-3)\/6*1?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1566 is divided by 400?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1183\/(-13))\/(-13)*25*5\/35\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f**2. Let n(u) be the third derivative of -8*u**5\/15 + 2*u**2. Calculate n(r(y)).\nAnswer: -288*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -495*d + 897. Let q(b) = 370*b - 673. Let x(g) = 7*k(g) + 9*q(g). What is the first derivative of x(a) wrt a?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51514079, 51514080, 51514081, 51514082, 51514083?\n\"Answer: w + 51514078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 25*j + 26*j = 0. Solve j = 11*t - 108 + 119 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/151? (a) 0 (b) -5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - q = 18. Let m be (-1)\/((-1)\/q + 0). Solve -2*b = m*b + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/(-4) + (-267)\/(-178). Let u be (-10)\/(-15)*(-3)\/2. Sort 24, k, u in decreasing order.\nAnswer: 24, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031818253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**7\/1680 + f**6\/720 + f**3\/6 + 3*f. Let p(w) be the second derivative of k(w). Find g, given that p(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-505)\/10*2. Let q = p - 97. Let m(g) = 2*g**3 + 5*g**2 + 2*g - 21. Is m(q) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6) - 2)*11424\/(-1224).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - a + 2 - 14, -a - 48 = 5*u. Let k(s) = -7*s - 20. Let w(g) = -3*g - 10. Let q(c) = u*w(c) + 4*k(c). Let x be -28*(-12)\/4*1\/12. What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 663 + -464. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 54 = -6*i + 347*j - 345*j, 0 = 4*i - 9*j + 21 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 6*b - 5. Let y be c(4). What is the highest common factor of y and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 9, -0.27, 4 in ascending order.\nAnswer: -0.27, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/2079)\/(8\/(-216)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**5\/3 + 1132*u**4\/3 - 200293*u**3\/3 - 73800230*u**2\/3 + 222785792*u\/3 - 148786400\/3 = 0. Calculate u.\nAnswer: -175, 1, 2, 652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43593597?\nAnswer: 3, 139, 34847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4858613*a**3*n + 1074947*n with respect to a.\nAnswer: -14575839*a**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 13. Let b be n(7). Suppose -2*r + b - 14 = 0. Solve -5*v = 3*q - 2*v + 21, 4*q = r*v - 14 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 4)*3\/(-3). Let k be 4\/((-8)\/(-86)) - g. Let j be 1\/5 - k\/(-15). Solve -4*h - 35 = -5*m, 2*h + 16 = 3*m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-255))\/((-323)\/(-289))\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1868*t - 660*t - 98592 for t.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53869550?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19411 is divided by 246?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -667, 1\/13, -37 in decreasing order.\nAnswer: 1\/13, -37, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/((h*h**4*h*h)\/h)))**45)**(-1\/23) assuming h is positive.\nAnswer: h**(-270\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 626 = -5*q - 3*l, -4*q + 5*l - 490 = 2*l. Let o = -117 - q. Let u(g) = -g - 4. Calculate u(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 t when four letters picked without replacement from {s: 1, d: 7, y: 6, t: 4}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/12 - 5*f**3\/6 - 9*f**2\/2 + 19*f. Let m be o(7). Solve m*s - y = -13, s - 7 + 21 = 4*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*h = -855*h - 16795 - 54510 for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 4. Let j = r - 1. Let h be (3 - 29)*(j + 0). What is the highest common factor of 65 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 4, -18, -42, -68?\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + (sqrt(84) - (sqrt(84) + (sqrt(84) - -1*sqrt(84)*-3))))\/(1*sqrt(12)*2) - ((1*sqrt(441))\/sqrt(9))\/(sqrt(35)\/(sqrt(30)\/sqrt(6))).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 862 is divided by 80?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -617686, -2470579, -5558734, -9882151, -15440830, -22234771?\nAnswer: -30263974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1006 is divided by 299.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 3) + (3 - 1*-4). Solve y + j = 2*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -2*i**2\/3 + 117695368*i\/3 - 1731524956081928\/3 = 0.\nAnswer: 29423842","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0.06, 0, 1.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1124 divided by -562.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 4:30 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287567671.\nAnswer: 13, 31, 103, 31019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 5\/6*t**3 - 4*t - 1\/24*t**4 + 0 + 3\/2*t**2. Let u(b) be the first derivative of s(b). Give u(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -659*u + 657*u - v = 19, -3*v = -10*u - 2*v - 17 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 20, 44 = 3*o - u + 2*u. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 4\/3*o - 2\/3*o**2 + 4\/3*o**3 + 2\/3*o**4 = 0. Calculate o.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*t**2 + 116*t - 116*t)*(-2*t**2 - t**2 + 5*t**2)*(-2*t + 6*t + 0*t + (1 - 1 - 1)*(-t + t + t)).\nAnswer: -48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81 - (10 + 73)) + -3 + 0 + 0 + 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -51a2b + -90?\nAnswer: -51abb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 277287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 18*b**3 - 493042*b**2\/13 + 2958232*b\/13 - 50424\/13 = 0.\nAnswer: 2\/117, 6, 2101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v - 4. Let t be z(5). Let g = 10 + -16. List the prime factors of (9\/g)\/(-1)*t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*z - 57 = -z - 0. Let j(a) = -a**3 - a**2 - 5*a + 4. Let o(d) = -d**3 + d - 1. Determine z*j(b) - 4*o(b).\nAnswer: 5*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -59, -133, -219, -305?\n\"Answer: 2*y**3 - 24*y**2 + 8*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1230, -5488, -17058, -39594, -76750, -132180, -209538, -312478?\nAnswer: -444654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 88 = -4*d, -5*r + 24*d = 22*d + 124. List the prime factors of r\/7*(-434)\/93.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (13\/(-13))\/(3\/(-21))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 96*k**2 + 89*k + 690. Determine o(97).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((f**(2\/43)*f)\/f)\/f)\/f)\/f)\/f*f**13)\/(f**(-4))**(-2\/15) assuming f is positive.\nAnswer: f**(5491\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49\/5 - -333\/35. Which is smaller: 61 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17014 - 6274 + 59909 = -2279*o for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 59219. Let h(o) = 2*o. What is h(w(u))?\nAnswer: 4*u**2 - 118438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.32 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3260970286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 11*h + 15. Let a be s(-11). Suppose a = 2*o - 7. Suppose q - 2*q + o = 0. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4891183581 to the nearest integer?\nAnswer: 69937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 24*t - 6. Suppose -37*g + 5 = -38*g. Let q be p(g). Which is the third biggest value? (a) -0.5 (b) q (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19, 729, 2759, 6713, 13233, 22961?\n\"Answer: 107*q**3 - q**2 + 2*q - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269347.\nAnswer: 23, 229, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6233.0222 + -6234. Let j = -0.0222 + f. Is -2.59 at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.39995 millimeters to nanometers.\nAnswer: 33399950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274 + -278. Sort w, 1.1, -3.\nAnswer: w, -3, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/286 in -5\/4, -0.2, 17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 3*y - 5*y)*(-23*y**4 - 107*y**4 + 39*y**4).\nAnswer: 91*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, n: 1, g: 1, f: 8, q: 6}. Give prob of sequence qnq.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((812\/1392)\/(2\/(-56)))\/((-2)\/(-12)*-2).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400*q = -415*q - 45 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -5, 7, 23?\n\"Answer: 2*n**2 + 2*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*n**4 - 9*n**2 + 36*n**4 + n + 2 + 28*n**4 to the form x*n + y + u*n**3 + k*n**2 + r*n**4 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*o + 254 = -b, -2025*b - 10 = -2029*b + o for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2225559398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2389 - -2389.000004244. Round d to seven decimal places.\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (592\/32 + -15)*32\/(-64)\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**3\/3 - 2*s**2 - s. Let h = 5548 - 5550. What is the remainder when 27 is divided by j(h)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/3 + 8633*r**3\/3 - 8280006*r**2 + 23813291500*r\/3 + 23838140152\/3.\nAnswer: -(r - 2878)**3*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**2 - 21*a + 4. What is h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16029841*g**4 + 5400802*g**2 wrt g?\nAnswer: 384716184*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6 = 2*h. Let n be -1 + 0 + h - 2. What is the remainder when -40*(-1 + n\/(-2)) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3260 by 4300.\nAnswer: -163\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7239 + 0\/(-2)*((-48)\/(-8) + -5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d**(-11\/4)*d*d))\/d)\/d**(-5))**(2\/55) assuming d is positive.\nAnswer: d**(23\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) + 1*sqrt(171)))\/sqrt(9).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72695773 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 911351099 a multiple of 5294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 39899 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 469, 460, 447, 430, 409, 384?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96570310 divided by -10?\nAnswer: -9657031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -261003 + 2?\nAnswer: -261001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(2 + 0)*(-36)\/(-36). Do z and -3\/5041 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03 at most -5\/9552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 - 454 + 3*l**3 + 336.\nAnswer: 2*l**3 - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 130, 241, 354, 469, 586, 705?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - 2*(-2)\/(-4). Let o(l) = -l**2 - l - 2. Let t be o(5). Let v = t + 31. Which is bigger: h or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8031565 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15408848 and 133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, 15, 52, 123, 240, 415, 660, 987?\n\"Answer: 2*q**3 - q**2 + 4*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4602644 to two dps.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1023, 1021, 1017, 1011, 1003, 993?\nAnswer: 981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 65.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqwpppqplpquqp. Give prob of picking 2 p and 2 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2599359960?\nAnswer: 2, 3, 5, 2153, 10061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 108\/81 + (3\/6)\/((-6)\/12)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - j + 3*i + 3 = 0, 4*i = 5*j + 7. Let k(y) = -5*y - 2. Let t be k(j). Let x be 50\/t - (-2)\/13. Solve 3*o + 4 - 9 = -x*f, -3*o = f + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 204*s**2 + 280*s**2 + s + 12*s**2 + 780*s**2 + 2*s**3 in the form v + m*s**3 + n*s**2 + c*s and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1614?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(-1881))\/((-5)\/(20\/(-50)*-15))?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/17884000 and -23\/9468000?\nAnswer: 160956000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/33*-1*3\/(-2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 plus 8045696550447?\nAnswer: 8045696550457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of u**4\/4 + u**3\/6 + 5*u**2\/2 - 2*u. Is q(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/24 - 2*y**3\/3 + 19*y**2\/12 + 13*y + 432. What is i in j(i) = 0?\nAnswer: -13, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 7:36 AM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00055057287 to 7 decimal places.\nAnswer: -0.0005506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 15*z - 69388 = -3*j, 3*j - 69395 = -5*z. What are the prime factors of j?\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1205*j + 52530 - 8232 = -721*j for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0*u = 0. Suppose 31*b - 18*b - 13 = 0. Does 22 divide 1*44*b - u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 + 5*n**2 - 5*n + 12. Calculate the common denominator of y(-5) and -65\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -422*b - 48*b + 539 + 869 = -16452 for b.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**3 + 3*w**3 - 3*w**3)*(-4*w + 18*w + 6*w) - 7*w**4 + 7*w**4 - 7*w**4.\nAnswer: 33*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**4 - 18*u**4 - 22*u**4)*(-18 - 20 + 0) to n*u**3 + a + l*u**4 + r*u**2 + z*u and give l.\nAnswer: 1596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6632 is divided by 609?\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of 23*n**7\/70 + 11*n**6\/60 + n**5\/60 - 7*n**4\/24 + 164*n**3\/3 - 60*n**2 + 2*n + 26. Find the third derivative of r(s) wrt s.\nAnswer: 1656*s + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -0.81, 163692?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -399, -823, -1259, -1713, -2191, -2699, -3243, -3829?\nAnswer: -4463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of g**5\/60 - 3*g**4\/8 - 2*g**3\/3 + 2*g**2. What is the remainder when f(11) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61, -23, 37, 119, 223, 349, 497?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/3 of a day?\nAnswer: 6720","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: -9761440 divided by -208\nAnswer: 46930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1087 in 5\/4, 4, -1.1, 0.5, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 PM and 7:42 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g**2 - 34*g. Let p(c) = 5*c**2 + 36*c + 1. Give -2*p(l) - 3*y(l).\nAnswer: -l**2 + 30*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 11*o**7\/210 + o**4\/24 - 2*o**3 - 47*o**2. Let h(x) be the first derivative of w(x). Differentiate h(r) with respect to r.\nAnswer: 132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-8))\/(24\/80). Suppose -7 + 2 = -r*l. Let t be (1\/5)\/((-18)\/15). Does t = l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2668*z + 48936 = 144984 for z.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (845128\/298)\/(0 - 4\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 64\/((24\/328)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18735501.\nAnswer: 3, 19, 23, 31, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/36*96\/16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -229240\/13 + 17634. What is the smallest value in -2\/11, 0, -3\/7, d?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139*b**5 + 21*b**3 - 21*b**3 + (3*b - 3*b - 6*b**3)*(-b**2 + 5 - 5).\nAnswer: 145*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5325983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, q: 4, b: 6, x: 3}. Give prob of picking 2 b and 1 q.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 29 = -3*j, 27 = 3*j + j - 3*l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -678736, -2715609, -6110396, -10863097?\nAnswer: -16973712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -127\/417 + -4\/139. Let u = 13745 + -13811.73. Let q = u - -67. Is k greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t - 24. Determine f(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17719, -71008, -159823, -284164, -444031, -639424?\nAnswer: -870343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 254?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(-2\/17))\/p**(-1\/2))\/(p**6\/(p\/(p**10\/p))) assuming p is positive.\nAnswer: p**(-421\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 + -12)*174\/(-58).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000174788 to seven decimal places.\nAnswer: -0.0000175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21.36411 * -1.2.\nAnswer: -25.636932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2*1)\/(3\/(-18)*1). Suppose a - 18 = 2*k - 5*k, a + k = v. Let l = 3164\/3 + -1046. Which is greater: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143\/3 - 51. Let r = 35 - 33. Let x = r + -6. Which is smaller: x or n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -719.5 + 793. Let w = -73.7 + t. Put -16, w, -1\/6 in decreasing order.\nAnswer: -1\/6, w, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 514073.\nAnswer: 7, 23, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*o + 21, -5*y + 6*o - 25 = 4*o. Sort 4, y, -2 in increasing order.\nAnswer: y, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -37?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12730*y**5 - 17773*y**2 + 1 wrt y?\nAnswer: -763800*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -4*q + 5*q + 3*q - 8 - 10, q - 19 = 14*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*v - 31*v = -223308. What is v rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 3*n + 78 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 10*r**2 + 2*r - 9. Let o = 31 - 47. Let d = o - -26. Is q(d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -26696*v + 213561. Calculate x(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npswppwppnpp. What is prob of picking 1 p, 1 n, and 1 s?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 592740*h**4 + 341*h**2 - 1008*h wrt h.\nAnswer: 14225760*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 4:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g - 3 + 3 + (2*g - 3*g + 3*g)*(0 - 2 + 3) + 7886 - 7886 + 17414*g to r + t*g and give t.\nAnswer: 17418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -793 divided by -13\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*x - 40 + 25*x - 46*x.\nAnswer: -x - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z**2 - 6*z - 7. Let f be x(-1). What is the greatest common divisor of f and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f - 81. Give b(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2 + 7872*t + 15736 = 0. Calculate t.\nAnswer: -3934, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7 bigger than 1117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 3. Let u(o) = 14*o - 9. Let v(k) = -17*j(k) + 6*u(k). Let y(z) = -1. Suppose 7*a + 2*a - 54 = 0. Calculate a*y(f) - 2*v(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 596156671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -11, 2, -5, -21, 11 in descending order.\nAnswer: 11, 2, -3, -5, -11, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -0.31. Let t = p - 0.29. What is the nearest to -1 in -0.4, t, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*g - 102 = -94*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 7*u**2 + 8*u - 10. Let w(d) = -d**3 + 7*d**2 + 7*d - 11. Let i(o) = 6*m(o) - 5*w(o). Let l be i(9). What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3257 or 3248?\nAnswer: 3248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180*t + 28565 = 423*t + 742*t for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/54*3*(-24)\/14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4415626 (base 7) to base 12\nAnswer: -22197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -14. Suppose -y*t = 2*t. Suppose -2*a + 3*a - 320 = t. What is a rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 190 + -202. Let f = s + 13. What is the closest to f in -0.1, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -42. Suppose 0 = -p - 4*o + n + 66, -3*p = -4*o - 196. Let i be (-1)\/4 - (-74)\/8. Calculate the highest common factor of p and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 13. Let f(g) be the third derivative of g**5\/20 - 7*g**3\/3 + 3*g**2. Let a(x) = -5*f(x) + 6*z(x). Differentiate a(t) wrt t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -782, -787, -796, -809, -826?\n\"Answer: -2*v**2 + v - 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.22 + -452.78. Let b = -703.5 - q. Round b to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -934*b + 283. Does 57 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113850767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610474889 to the nearest integer?\nAnswer: 24708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.8 or -176?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-six fifths of a century?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - i - 18993951 = -4593956, -6*i = -3*y + 10799970. Round y to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 8*t. Let z = 0 - -7. Let w be d(z). What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.9 - 4.9. Let o(z) = z. Let i be o(-5). Put -0.4, f, i in decreasing order.\nAnswer: f, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 2 - 38 - 20 + 50*v - 22)*(-9*v**2 + 11*v - 11*v).\nAnswer: -450*v**3 + 522*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 161*m**2 + 1 - 217*m**5 - 1 - 148*m**5 - 487*m**2 wrt m.\nAnswer: -21900*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 1. Suppose l*v - 6*v = -48. Let z = v + -7. Solve 4*a + 3*g = 2*a + 6, z*g - 20 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4785, -4786, -4787, -4788, -4789, -4790?\nAnswer: -4791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 64\/27 and -139\/31578?\nAnswer: 284202","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 454808 and 2.\nAnswer: 454810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.2506 millimeters?\nAnswer: 0.0000032506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 3*c = 9, 3*d = d - 4*c - 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*3\/(-33) - 215775\/(-7535)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 5:24 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 17 - 47 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*1\/40)\/1*-6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-6)*68\/(-425)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 2*r - 33 - 36, -2*r = -5*n - 41. Let c = 68 - 48. Let z = c + r. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124280011939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -141780151, -141780156, -141780161?\n\"Answer: -5*r - 141780146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -73, 2, -1, 5 in decreasing order.\nAnswer: 5, 2, 0, -1, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000155049405 rounded to 7 decimal places?\nAnswer: 0.0000155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 357 and 189.\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -33, -4, 5 in descending order.\nAnswer: 5, 3, -4, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 254*j**5 + 2*j**4 - 2*j + 70 wrt j.\nAnswer: 5080*j**3 + 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) + (-7 - -22) + (-67)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.4*71.\nAnswer: -1235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-21) - (-22)\/(-154)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*((t*(t**9\/t)\/t)\/t)\/t)**(-21))**(22\/5) assuming t is positive.\nAnswer: t**(-3234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 1. Suppose c = -582*f + 584*f, c = -5*f - 42. Calculate q(c).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -965*z + 321*z + 319*z + 326*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 9*v. Let y be (5 - 189\/35)*(-1 - 4). Let n(u) = -8*u**2 + 6*u**2 + 5*u**y + 12*u**2. Determine n(c(l)).\nAnswer: 1215*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 509251, 1018522, 1527793, 2037064?\nAnswer: 2546335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/z**16*z\/(z\/(((z**(4\/3)\/z)\/z)\/z)*z*z)*z**(-12))**24 assuming z is positive.\nAnswer: z**(-928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let a be -2 + (2\/(-5))\/((-6)\/60). Let l(c) = -7*c**2 + a + 8*c**2 - 2. Give r(l(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 2253*g**5\/20 - 3*g**3\/2 + 41*g**2\/2 + 9*g - 17. What is the second derivative of s(h) wrt h?\nAnswer: 13518*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*z - 67 + 679. Suppose -n - 12 = -66. Calculate the highest common factor of z and n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/88 and 67\/88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 26*m + 54. Let o be c(-2). Solve 0 = 3*v + 4*x + 21, -o*v + 0 + 3 = -3*x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 257561*k**2 - 594*k**3 - 257335*k**2 + 5204*k**3 wrt k?\nAnswer: 27660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32573.\nAnswer: 32573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k + 6. Let t(u) = 9*u + 11. Let a(s) = -6*t(s) + 11*w(s). Let q(b) = 2*b - 5. Determine a(d) - q(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -31 - -23. Let v = 58.0562416 + -50.05624. Let t = b + v. Round t to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (20\/22 - 1)*(-8)\/(-24). Let x = 7\/11 - o. Which is the nearest to x? (a) 1 (b) 0.3 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 5:07 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4 + 11*j**2 - 20*j**2 + 13*j**2.\nAnswer: 4*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 352?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 670054901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from jjjvvjjvjbjjjjjjj?\nAnswer: 39\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 22926 divided by 1127\nAnswer: 22926\/1127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 - 14. Suppose 231*f = 155*f + 2280. What is the remainder when s is divided by f?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 40. List the prime factors of i\/(-4) - 3321\/(-36).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:39 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 10*g - 35. Let v be i(3). Let o be 5 - (-112)\/40 - 1\/v. What is the highest common divisor of 376 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 197. Let l = -56 - z. What is the remainder when l is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16313 and 20218?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 8, 0 = 36*l - 37*l - o - 4 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8116698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = -2*t, 5*t + 3 - 6 = -w. Suppose -2*l + 4*o = 10, -l - o - 38 = w*l. Let z = l - -20. Calculate the remainder when 30 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 9:26 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4542*x**4 + 1793*x**2 + 4*x. Let r(z) = 1513*z**4 - 598*z**2 - z. Let n(h) = 2*i(h) + 7*r(h). What is the third derivative of n(a) wrt a?\nAnswer: 36168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -778*s - 172715. Give n(-222).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -u + 4, -p = u + 2*u - 12. Suppose 13 = i + 3*d, -7 = -5*i + u*d + 20. Let w = 9 + i. What is the greatest common divisor of w and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 8:13 AM?\nAnswer: 6:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**4 + 1 - 3*z**3 + 3*z**4 + 0*z**2 - 6*z**2 - 6*z**4 to the form l*z**2 + p*z**3 + o*z + f + s*z**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-8 - (-3 - (34 - 17))).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/(-6))\/((-8)\/12) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*w - 6*w - 65*w - 54 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m + 5. Let c be y(-2). Let d be c*1\/(2\/(-12)). Suppose -d - 10 = -2*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(40\/(-36)) + (-12)\/8\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 4:27 AM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**4 - z**4 + z**4 + (0*z + z - 2*z)*(-5 + 5 + 22*z**3).\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984083324 to the power of 1\/2, to the nearest integer?\nAnswer: 44543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 11:38 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/366)\/(12\/36 - 1). Which is the second smallest value? (a) u (b) 3\/2 (c) 4 (d) -5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/10 + (-7 - 198\/(-30)). Find the third derivative of 27*g**2 - 5*g**2 + 18*g**4 - 3*g**i + 9*g**4 wrt g.\nAnswer: 648*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4742 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 524 = -1924. Suppose 0 = 6*c - 2*c - z. Calculate the least common multiple of 20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((3 - -1) + -6). Suppose -i + 6*i - 25 = j. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-3 - (675 - 3)). What is the common denominator of -25\/7 and a\/54*(-6)\/(-4)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -1, 2, 5.\nAnswer: -19, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17972153 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 650*f. Let g(o) = -3*o**2 + 5*o - 10. Let l(h) = 4*h**2 - 6*h + 12. Let t(z) = -6*g(z) - 5*l(z). Determine t(u(v)).\nAnswer: -845000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2115 is divided by 731.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -7*k**5\/90 - 5*k**4\/54 + 2*k**3\/27 - 10*k. Factor f(y).\nAnswer: -2*y*(y + 1)*(7*y - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17208.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 54*n + 1. Let h be j(-27). Let g be h + 1 - 60\/40. Let p = 1\/106 + -133\/53. What is the biggest value in 1\/4, p, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-72)\/30*(-1 + (-1338)\/(-378))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, m: 5, i: 3, x: 2}. What is prob of picking 2 i and 1 m?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-55)\/22*21\/(-105)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - -185. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6*s - 4*w + 8, -4 = 4*w. Suppose -13 = 5*y - s. Let a be (6\/4)\/((-3)\/y). Let f(v) = 3*v. Give f(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10828)\/(-1008)*4 - ((-1560)\/756)\/65?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 825, 909, 993, 1077?\n\"Answer: 84*u + 741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -66 - (91 + 68 + -147).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 84224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:29 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 461.9897 years in decades?\nAnswer: 46.19897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52272\/205 not equal to 254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 98. Is (2 + -1)\/(n\/(-17367)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10445368697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5)*z)**(6\/29)*z\/z**(-3\/4)*z\/((z*z**(-2\/19)*z)\/z))**(-18\/7) assuming z is positive.\nAnswer: z**(-212733\/38570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 205\/327, 4, -1, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 15. Suppose 4*b - 1794490 - 485506 = -c*f, 0 = -4*f - 3*b + 2279997. What is f rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2004 (base 5) to base 9\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5563 + 5787. Calculate the remainder when 1103 is divided by i.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194483 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-2\/23))\/z*z\/(z\/((z*z**(-1\/4)*z)\/z)))\/(z**(-17)*z**6) assuming z is positive.\nAnswer: z**(1165\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 107, 394, 777, 1178, 1519, 1722, 1709, 1402?\n\"Answer: -13*h**3 + 126*h**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in 0.5, 53, -0.1, 4.6, 0.7, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 22599*w**2 - 3100. Let r(n) = -904*n**2 + 125. Calculate -5*g(v) - 124*r(v).\nAnswer: -899*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, -3\/8, 1\/2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/4 + 612\/144 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11692605 to the power of 1\/2, to the nearest integer?\nAnswer: 3419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6057 and 63.\nAnswer: 42399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**7\/315 - v**6\/720 + v**4\/6 - v. Let t(z) be the third derivative of w(z). Suppose 2*x + 1 = 3*x. Determine t(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h - 43*h**2 + 14*h**2 + 21*h**2.\nAnswer: -8*h**2 - 22*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-63)*-7)\/(((-35)\/525)\/((-3)\/(-33))).\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -500 divided by -100.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, z: 1, f: 1, h: 1, c: 1}. Give prob of sequence hhg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, n: 2, u: 3}. What is prob of sequence nu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.3 and -0.03?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3787 = 1039. Let c = 2276 + z. Let j = -4558\/5 + c. Calculate the common denominator of 6\/7 and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94517.43 kilograms in tonnes?\nAnswer: 94.51743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05343 - 0.00043. Let r = 0.075 + -0.028. Let k = r + q. Which is the smallest value? (a) 4 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -2*w - 4*v, 4*w - 208 = 2*v - 36. List the prime factors of w.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/6)\/(2\/6). Let h = 6 - 2. Calculate the least common multiple of h and (2 + -5 + i)*-2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+-0.039\nAnswer: 3.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 78 = -14*c, 6090*c + 2*b = 6091*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 10*d - 10. Let w be m(-8). Suppose -w*x + x = -15. Let c be ((-2)\/3)\/(2\/x). Is c less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*y + 9, 2608*o - 2611*o = 3*y + 15. Sort -5, o, 615, -1 in descending order.\nAnswer: 615, o, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 10. Let t(h) = -h + 6 - s. Let z be t(-5). Let u(a) = a + 2. Determine u(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 6. Let k = -2.2 - h. Which is the biggest value? (a) k (b) 0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of 5*y**4\/4 - 10*y**3\/3 - 50*y**2 - 120*y - 1645. Factor h(d).\nAnswer: 5*(d - 6)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 13 - ((6 - -5) + -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20811 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18750845 is divided by 58.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from {q: 2, c: 2, y: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2 + 7*q**2 + 6*q**2 + 2*q**3. Let u(a) = -6*a**3 - 17*a**2. Determine 17*h(y) + 6*u(y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*x**4 + 0*x**4 + 49*x**2 + 8*x**4 - 3*x**4 wrt x?\nAnswer: -72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12067, -13653, -15239?\n\"Answer: -1586*y - 10481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from ppylpxplpyp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23447, 93835, 211145, 375377?\n\"Answer: 23461*z**2 + 5*z - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 45 = -4*j. Suppose -3*f + 6 = -2*f. Find the common denominator of -93\/2 and (-3)\/f - 62\/j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*s - 14 = 0, -s - 2*s - 9 = 0. Suppose 0 = g*q - 0*q + 5. Let o = -53 + 53.2. What is the nearest to q in -2, o, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**9\/126 + 11*q**6\/20 + 709*q**5\/30 - 3*q**2 + 261*q. Find the third derivative of g(v) wrt v.\nAnswer: -480*v**3 + 396","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/3)*(v*v**(-5))\/v assuming v is positive.\nAnswer: v**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10 - 6*t**2 - t**3 - 3*t - 2*t + 4 + 3*t. Does 2 divide j(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1377\/(-765)*(-5)\/(-3)*-7?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 at most -179?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17557797 = 17557811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Suppose 8 = -4*b, -2*x - a = 2*b + 9. Put 5, x, -2 in ascending order.\nAnswer: x, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 19 + 17. Suppose -x + 6 = -3*f. Which is smaller: f or 1\/8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gigiii. What is prob of sequence ii?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 74\/333*(10608\/1180 + -9). Suppose -4*r = 2 + 2. Is r > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -522, -1025, -1512, -1977, -2414, -2817?\nAnswer: -3180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460231693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(52\/1)*(-1092)\/756*(-6)\/3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 358 and -16?\nAnswer: -5728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 - 3. Let q = 5 + -6. Suppose -15*l + 11*l = -12. Let j be q - (1 + 6\/l). Determine t(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*c - 3*w, 4*c - w = -2 + 10. What is the greatest common factor of 8 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 660, 2644, 5950, 10578, 16528, 23800, 32394?\nAnswer: 42310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 628 a factor of 35057550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/90 + 5*w**4\/18 + 46*w**2. Solve t(o) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*u. Suppose u = 4*j - 7*j. Let t = -723 + 729. Solve j = -3*z - 3 + t for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 187 - 185. Let k(f) = f + 7. Let r be k(2). Sort r, 3, 1, l in descending order.\nAnswer: r, 3, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqfnfsnnfsffn. Give prob of sequence fq.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, 108758, -5?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8 + (-7)\/2. Is -1 + (77 - (1 + g)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/7968 and 131\/238044.\nAnswer: 1904352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**3 + 13*h**2 - 5*h + 17. Let i be o(-7). Suppose 2*u - 3*d - 9 = -6*d, -i*d = -9. Solve 3 = 4*k - 2*c - 7, k + 4*c - 16 = u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**3\/3 + 21202*b**2\/3 + 444821*b\/3 + 423620\/3 = 0.\nAnswer: -21181, -20, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2048322161 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from {v: 3, n: 2, q: 1, i: 4, c: 2, u: 2}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, -3\/5, 0, 1, 274?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1032*j - 1083*j = -146523. What is the greatest common factor of j and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.142 and -20633.7?\nAnswer: 20633.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 8052 divide 607200204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/1116113 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7991467 rounded to two decimal places?\nAnswer: -21.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-40)\/625)\/((-7)\/(-700)*5) and -2\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-30) - (-33)\/5. Suppose -3*f + 56 - 5 = 0. Let r = f + -11. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k**2 - 64*k + 6. What is the units digit of i(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1557 = -8*o + 331. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01206 rounded to 4 dps?\nAnswer: 0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(16\/(-4))*((-55)\/(-11))\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-170)\/(-210) - (-4)\/(-6). Sort -4, m, 1 in descending order.\nAnswer: 1, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2*z**2 + 12*z**3 - 12.\nAnswer: 12*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence re when two letters picked without replacement from crppepc.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 22, -66 in ascending order.\nAnswer: -66, -5, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2081*q + 2098*q - 340 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 11) in base 5?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*3*((-1755)\/(-1170))\/((-27)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 105*s + 106*s + 10 = 0, 2*s = 53*y - 149 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 5*f + 8, f - 59 = 11*t + 3*f - 24 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 490\/(-1470)*1\/(4\/3)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 greater than or equal to 194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.23*2370667\nAnswer: -545253.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(2 - (-6)\/(-4)). Let r be 2 - (-52)\/(-14) - x. Let v = -1585025\/11 + 144093. Which is the biggest value? (a) v (b) r (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-28) - (-28)\/(-98).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367 + (-6 - -6 - -4) + 0 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02025304 to 3 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 533347*w**2*y - 1205*y - 22 with respect to w.\nAnswer: 1066694*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 - 47. Let o = -24 - m. Let t be 2\/(-14)*-1*-1. Which is the second biggest value? (a) t (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*l**2*t**4 + l**2*t + t**4 + 2879*t**2 wrt t.\nAnswer: -288*l**2*t + 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-6 - -3)) + (-1944700)\/(-6)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-27)\/(-162))\/(-3*(-20)\/(-810))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 339 = -319. Suppose 2*t - 33 = -5. What is the smallest common multiple of 4\/t + (-80)\/(-14) and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 2*g**3 - 2*g**3 + (4*g**2 - 4*g**2 + 2*g**2)*(2 - 2 - 2*g) + 4*g**3 - 3*g**3 + 0*g**3 + (-1 - 1 + 1)*(-99*g**3 - 90*g**3 + 1345*g**3).\nAnswer: -1160*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 7 - 13. Let q(o) be the third derivative of -3*o**n - 1\/150*o**5 - 1\/20*o**4 - 2\/15*o**3 + 0*o + 0. Factor q(g).\nAnswer: -2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -60*w**5 - 409*w - 430*w - 557*w wrt w?\nAnswer: -1200*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 138*y**2 - 10954*y + 41589. What is c(4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -10*i**3 + 49*i**2 - 40*i - 28. Is 71 a factor of k(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20330 (base 8) to base 6.\nAnswer: -102532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 92 - 459\/5. Suppose 0 = -8*d - 16. What is the nearest to f in 2\/5, 2\/3, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 535426 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003814409329 rounded to 6 dps?\nAnswer: -0.000381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(156)\/sqrt(4))\/(sqrt(24)\/(2*sqrt(8)))*-5.\nAnswer: 60*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1019 - -86b8?\nAnswer: 769f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0, 3, 5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*p - 3*p + 3*p)*(2*p**2 - p**2 + p**2)*(-p**2 + 0 + 0).\nAnswer: 16*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2. Let q(m) = 15*m - 1043. Give q(j(w)).\nAnswer: 60*w**2 - 1043","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -194983, -389925, -584865, -779803?\nAnswer: -974739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -7\/5 (c) 3 (d) 0.1 (e) -2 (f) 0.7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94800.958542 + -94912.958. Let b = k + 112. Round b to five decimal places.\nAnswer: 0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3\/1818662 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 69377 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -15*t**3 - 29125*t**2 + 9710*t = 0?\nAnswer: -1942, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -376, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8401 - -18302. Is m a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, x: 5, d: 2, i: 4, z: 2}. Give prob of sequence idmz.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 87524412\/((-15920)\/9 - 2). Let d = n - -49424. Let x = d - -517969\/63752. Find the common denominator of -75\/82 and x.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68111431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 11:21 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 2:39 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**19\/o))\/(((o*o**(1\/13))\/o)\/o) assuming o is positive.\nAnswer: o**(-209\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1 - -689) + -36 + 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(-105))\/((-4)\/18)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 - 3*c**2 + 2*c + 2. Let m be l(-3). Let k = -174 + 385. Let h = -96 + k. What is the highest common divisor of h and m?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k + 4. Let r(o) = -5*o - 6. Let a(l) = -5*r(l) - 8*u(l). Let m(b) = 2*b - 2. Let v = 70 + -68. Suppose -n + 15 = v*n. Give n*a(t) - 4*m(t).\nAnswer: -3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 42\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -17*s. Let d(t) = 116*t**2. What is d(y(z))?\nAnswer: 33524*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l + 7. Suppose 8*b - 2*x - 8 = 9*b, -3*x = 5*b + 5. Let o(v) = 26*v - 36. Determine b*o(s) + 11*c(s).\nAnswer: -3*s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -17 in decreasing order.\nAnswer: 3, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -256, 2, 5 in increasing order.\nAnswer: -256, -4, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yatfbmay. What is prob of sequence ayf?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (13 - -10) - -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-75))\/1*9\/(-3)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 592 divide 3552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 7*u**5\/60 + 7*u**3\/6 - 8*u**2. What is the derivative of i(o) wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-637)\/(-260) - ((-4)\/(-3))\/2 and -103\/72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in 0.2, -3.9, 2\/3, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -142, 5, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -e725 (base 16) to base 3\nAnswer: -10000011121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) 0.3 (c) 1.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 3)\/(1 - 0). Let k(c) = c - 2*c + o*c + 1. Suppose -3 = -2*a - 7. Calculate k(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22425 - 44844 + 22428 - 161*s)*(13*s**2 + 2*s + 4*s - 4*s) to t*s**3 + j*s + u*s**2 + h and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t. Let w(h) = -2*h**2 - 248009*h. Determine a(w(j)).\nAnswer: 4*j**2 + 496018*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -51*c + 345. Suppose 127*q - 182 = 141*q. Is j(q) a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oop when three letters picked without replacement from {o: 2, p: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**2*w**3 - 169516*a**2*w - a*w**3 - 2*a*w + 29*a - 2*w**3 - 6*w + 3 wrt a?\nAnswer: -26*w**3 - 339032*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 4, h: 1, i: 3, j: 9}. Give prob of sequence ihf.\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46\/14 + (-2)\/7. Let w be (2 - 2)\/(-1 - -2). Suppose -10 = 2*z - w*z. Put n, 4, z in descending order.\nAnswer: 4, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - j - 1)*(-81*j - 24*j**2 + 81*j + 1) in the form f*j**3 + z*j + y + a*j**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l - 1. Let q(j) = -40*j**2 + 5*j + 5. Calculate -5*n(o) - q(o).\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojjojo. Give prob of sequence ojo.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*h**4*j**2 + h**4*j*n**3 - 4*h**2*n**3 + h*j**2*n**3 - 8*h*n**3 wrt h?\nAnswer: 1344*h*j**2 + 24*h*j*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9 (b) 0.2 (c) 16 (d) -2\/15 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + m - 1038 = 0, 3*r + 510 = 4*r + 5*m. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 17*m**2 - 16*m + 3. Calculate u(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 8\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35 - 32. Suppose -15*z = -12*z - l. Solve z = -4*t - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -18, -45, -120, -267, -510, -873, -1380?\n\"Answer: -4*j**3 + j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 94195 - -655810. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5664*d = -5651*d + 2*b - 5, 0*b = 3*d + b - 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1078, 1084, 1094, 1108?\n\"Answer: 2*k**2 + 1076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4059145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + 10*g**2 + 103*g + 622. What is a(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - d - 3*d)*((3 + 1 - 2)*(-d - 2*d + d) - 1 - d + 1 - 2*d + 3*d - 2*d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2*(-3 + -4 + sqrt(1053) + sqrt(1053) - sqrt(1053))*4*-6.\nAnswer: -335 + 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/2)\/13*(-15 - (-2)\/(-2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + -45)\/(-1) - 2. Suppose 0 = -3*v - v + 72. Suppose -p + v = 2*p. Calculate the highest common divisor of p and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - q + 1. Let l(s) = 233*s - 233. Let n(d) = -l(d) - 233*y(d). Let w(u) = -u. Give n(w(t)).\nAnswer: 233*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15354 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -868, -1779, -2690, -3601?\nAnswer: -4512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -0.2, 1481, 0.4?\nAnswer: 1481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 z when four letters picked without replacement from {l: 3, n: 1, s: 1, o: 3, i: 1, z: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3026270 is divided by 32894.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q**2 + 3*q**2 - 5*q**2)*(3 - 3 - 1) - 142*q + 47*q + 61*q + 2*q**2 + (0 - 4 + 6)*(-2 + 2 + q**2).\nAnswer: 2*q**2 - 34*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from {o: 2, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10144807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -431 greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101, 781, 2627, 6221, 12145?\nAnswer: 20981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of 0*h + 0 - 2\/7*h**3 - 86*h**2 - 8\/21*h**4 - 1\/21*h**5. Find s such that l(s) = 0.\nAnswer: -3, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-15)*(-6)\/(-21). Let y = 0.6 - 0.4. Which is the nearest to t? (a) -1 (b) 1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2313255, -4626509, -6939761, -9253011, -11566259, -13879505, -16192749?\n\"Answer: q**2 - 2313257*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -40 > -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = -0*m. Let l(z) = 2*z**2 + 3*z - 3. Calculate l(m).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3863, 3 in ascending order.\nAnswer: -2, 0, 3, 3863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5*i - 421 = 0, 2*l + 5*i = 97 + 116. Is l a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j - 374 + 1686 = 0. Suppose -j*h = -94*h + 24. Factor 3\/8*s - 3\/8*s**h + 0.\nAnswer: -3*s*(s - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 70.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 185481623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14747956834 - -0.08.\nAnswer: -14747956833.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 115575917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1328 = -14*w + 1370. Solve -k + 3*x - 10 = -0*x, -3*x + 30 = w*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r. Suppose 0 = 3*c - 7*c + 12. Let m be ((-8)\/c)\/((-4)\/6). Suppose -m = -0*y - 4*y. Determine d(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29470*a**3*c + 2*a**2*c - 536*a*c + a + 18*c wrt a?\nAnswer: 176820*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652455.3 millennia in decades?\nAnswer: 65245530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 8*a + 24 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c. Let n(v) = -22*v. Determine h(n(o)).\nAnswer: -110*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-40)\/(-13)) - (-3 - 435\/(-150))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxuuxuxxuuxuuxxxuu. Give prob of picking 3 u.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 15) to base 16.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3\/7 + 54648*q**2\/7 + 9223360*q + 18415488 = 0. What is q?\nAnswer: -1092, -2, 14756","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4490 - 20305 = -4*c, 0 = c + 4*v - 6196. What are the prime factors of c?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6250 is divided by 693.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 892.7236ml?\nAnswer: 0.8927236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -688 + 686. Put -79, 3, 5, a in increasing order.\nAnswer: -79, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Suppose 5*w - 4*w + 1 = y. Put -5, -4, w in increasing order.\nAnswer: -5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85153*n**2*y**2 + 77*n**2 + 2*n*y**2 - 46*n*y - n + 28*y**2 - 531 wrt n.\nAnswer: 170306*y**2 + 154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6685907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y - 2. Suppose b + 8 = 5*b. Suppose b*j + 1 - 17 = 0. Calculate the remainder when q(10) is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)*-6 + (sqrt(21) - 2*sqrt(1701)))\/((sqrt(28) + (sqrt(28) - (sqrt(28) + 3*1*sqrt(28))))\/sqrt(4))*4 + 0.\nAnswer: 70*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 7*b - 9. Let r = 0 - -8. Let j be z(r). Let p be -4*3\/(-6) - j. Solve p*m - 5*x + 17 = 6*m, m - x - 3 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -12 + 2 + (-17 - -34 - 12) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 126, 194, 266?\nAnswer: 342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41382 or -319?\nAnswer: -319","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244328 + -109659. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 <= -0.18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - r)*(6 - 3 - 2)*(3 - 3 - 10*r + 10).\nAnswer: 30*r**2 - 30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 30. Suppose -j*l + 143 = 123. Solve -l*t - 4*s + 28 = 0, -t + s + 4*s - 17 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 - 0.37. Let b be 2 - -1*28\/21*3. What is the nearest to b in y, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/8)\/(-6))\/(4*13\/(-312))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56 + (-59 - -30) - 7) + 22.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230 - 1?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-6)*4*(-270)\/600. Let g(j) be the first derivative of -13\/4*j**4 + 0*j**2 - 14\/3*j**t + 0*j + 23. Find the third derivative of g(v) wrt v.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -683*v**3 - 1134*v**2 + 1132*v**2 + 433*v - 433*v in the form t + h*v**2 + m*v + l*v**3 and give l.\nAnswer: -683","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 168 = -34*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**2 + 1375398*b + 28884681 = 0.\nAnswer: -21, 458487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27890725 and 7?\nAnswer: 195235075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -616, -1234, -1852, -2470, -3088, -3706?\n\"Answer: -618*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*i + 11*i - 0*i + 648 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-2*sqrt(121)*4 + -3*sqrt(121)*-1)\/(sqrt(88)\/(sqrt(8) + (sqrt(8) - sqrt(16)\/sqrt(2))) - (sqrt(11) + (sqrt(66)*3)\/sqrt(6))).\nAnswer: 5 + 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * 3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + (14 - 4) - -10 - (5 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 7 (b) -15 (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -176512672 by 274088.\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2835, 2647, 2459, 2271, 2083?\n\"Answer: -188*t + 3023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4665893, -18663584, -41993071, -74654354, -116647433, -167972308, -228628979?\n\"Answer: -4665898*v**2 + 3*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85 + 140. Suppose -3*p - p = 72. Let a = p + j. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*b + 891 = -113*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*6\/273)\/(44\/28)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6*n**2 - 7)*(-n**2 + 0*n**2 + 4*n**2).\nAnswer: -18*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 291.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 2*w - 2 = 0, 14 = p + 4*w - 3. Let b = -2 - p. Differentiate 0 - 3 + q**2 + 0*q**2 + b wrt q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) + (-49)\/(-20). Let l = f + -13\/4. Let n = -196527.84 - -196528. What is the third biggest value in n, 2\/13, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 752 divide 794525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*u = -u + 269, -3*n = u - 807. Suppose r + r = 3*y - 293, -2*r - n = 5*y. Let v = -15 - r. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3340, 16283, 37854, 68053, 106880?\n\"Answer: 4314*j**2 + j - 975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 1\/15*h**6 - 8\/9*h**3 + 0*h**2 + 113*h + 1\/189*h**7 + 1\/5*h**5 + 0 - 2\/27*h**4. Find x, given that v(x) = 0.\nAnswer: -6, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -8*h + 19. What is u(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a**2 + 9*a - 16. Let k(s) = -100*s**2 + 80*s - 145. Let l(w) = 6*k(w) - 55*x(w). Suppose l(d) = 0. Calculate d.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (53\/3)\/((-6)\/144). Let f be (-2)\/(-6) - r\/24. Let l(a) = 4*a + 23. Is 19 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + -64. Let l = a + 152.9806. What is l rounded to 3 dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/6? (a) -2\/9 (b) -3 (c) -2 (d) -31145 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 2. Let i be q(2). Suppose 191 = i*k + k + 2*f, -5*f - 10 = 0. Calculate the greatest common factor of k and 273.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and 61655?\nAnswer: 493240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 10*y - 6. Let k be g(9). Suppose 31 = -k*o + 70. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.052624262 to 5 dps.\nAnswer: -0.05262","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -49100 = -4*i - 4*y, 4*i - 8853 = 2*y + 40259. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 + -2331013534?\nAnswer: -2331013513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -95759949\/20 - -4776238. Let d = 11756 + x. Find the common denominator of 1\/3 - 22\/(-24) and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 12 + 17 - 46 - 24*x.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 6*j - 1504. Let y be g(-36). Sort y, 3\/7, 9 in decreasing order.\nAnswer: 9, y, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10540 and 8.\nAnswer: 21080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/60 - 371*c**5\/240 - 2185*c**4\/48 - 529*c**3\/8 + 4270*c**2. Factor u(z).\nAnswer: -(z + 23)**2*(8*z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 23*v - 4 - 3 - 4 - 31*v + 5 + (4*v - 5*v - v)*(5 - 4 + 1) to the form b + a*v and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5536d4 (base 15) to base 13.\nAnswer: ac2976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4704910 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-34 - 3*t**2 + 34)*(5 - 4 + 2)*(2*t + 2*t - 2*t) + 1 - 1 - 2*t**3 to the form m*t**3 + h + d*t + z*t**2 and give m.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-14)\/(-5) + -4)*-60. What is the highest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161953983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -15, -4\/5, 4, 5 in increasing order.\nAnswer: -155, -15, -4\/5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 378605105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 201\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*p - 7*s, p - 10*s = -5*s - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 11, d: 3}. Give prob of picking 2 g.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 881 - 821. Calculate the highest common factor of b and 210.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + k**2 - 1. Let p(z) = 18*z**3 - 11*z**2 + 11. What is 2*p(l) + 22*t(l)?\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6a03 (base 15) to base 14\nAnswer: 82b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44870000 rounded to the nearest one million?\nAnswer: 45000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007471518252 to 6 decimal places.\nAnswer: 0.007472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -714 - -3092. Suppose 3*i + 191 = -3*l - 2167, -l = -3*i - a. Let n = 4667\/6 + i. Calculate the common denominator of 51\/5 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 739 (b) 4\/7 (c) 2 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -51. Let l(n) = -19*n**2 - n. Calculate l(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 + 35.2. Let z = -35.775 + n. Round z to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109 + 148 - 337 - 805 - 698)*(3*l - l - l).\nAnswer: -1801*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*z = 48*z + 86*z - 3726 for z.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12.47 + 14.47. What is the biggest value in -0.06, -9, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**4 - 325*l**3 + 984*l**2 = 0.\nAnswer: -328, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/9 + (-3 - -2). Let n = 3 - -4. Which is smaller: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1277, -11423, -38971, -92621, -181073?\nAnswer: -313027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 29, 93, 215, 407, 681, 1049?\n\"Answer: 2*m**3 + 17*m**2 - m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 + 127*p**2 + 2610*p - 2. Determine q(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 20. What is y(20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3330121203 (base 4) to base 9.\nAnswer: -1845126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90799?\nAnswer: 29, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 232879?\nAnswer: 179, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 8 (b) 3 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*y = 23 + 108, -2*a = -y + 80. Let f = 5585 + -5538. Let g = a + f. Solve 3*j - 9 - g = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28323 - 114993 = 231*c + 1141*c - 302*c for c.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8148*x = 8140*x - 16440*x - 3648 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18.4 + 22.4. Let r = 9.4 - 9. Which is the third biggest value? (a) r (b) i (c) 3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + 2*j + 2*j)*(-3 - 1 + 3) + 20*j + 12*j - 33*j + 3 as b*j + m and give b.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**16))\/m)**(4\/19)\/(m**(-12))**(4\/5) assuming m is positive.\nAnswer: m**(1212\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -305.6 + -235.4. Which is smaller: c or -1\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from {x: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 38*p - 46*p + 118, -p = 2*f - 3*f - 31 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 - 45*g + 6. Let o be m(-9). Suppose o*b - 369 = -189. What is the greatest common divisor of b and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 575\/230*8\/10. Solve 32 = 4*p - 3*d - d, p - a = -d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938619 is divided by 1756?\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m. Let l(b) = 2*b**2. Give q(l(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1181, 2361, 3541?\n\"Answer: 1180*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29837, 238296, 804009, 1905602, 3721701, 6430932?\nAnswer: 10211921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g - 36 = -23*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 32*i - 61. What is the units digit of k(-20)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15447766*b**2*l + l + 1535013 wrt b.\nAnswer: 30895532*b*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/39445 and -7\/30.\nAnswer: 236670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6563258 = 6563257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -4*k**2 + k + 1. Let c(a) = a**2 + 5*a + 5. Let s(l) = c(l) - 6*z(l). What is the second derivative of s(h) wrt h?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txbb when four letters picked without replacement from bbbttxqxtbbtxxx.\nAnswer: 10\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -109, -131, -153, -175, -197?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v. Let d(r) be the first derivative of -r**4\/4 + 4*r**3\/3 + 2*r + 2. Let b be d(4). Let y(n) = 6*n**b + n - 5*n**2 - n. Calculate l(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136433 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - (-24)\/(-6))\/(-4). Solve -3*y - 4*p = -3, -y = -5*p - g + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.59 - 125.41. Let j = l - -128. Which is smaller: j or -28\/5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*f - 34629 + 94*f + 94*f + 34629.\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24404231 (base 6) to base 3\nAnswer: -1110112222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4448 and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*u - 187 = -103 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 44 = 23*b + 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkrkkkkrkkkkkkkkk. Give prob of picking 3 k.\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44 - (75 - (-109 + 136))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194593 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - a = -19, 5*w - 4*a - 19 = 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -116479 or -815348\/7?\nAnswer: -815348\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2624 = -10*h + 2*h. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-1) + 2 + 22. Let w = p - 16. Let f be (-6)\/3 + 8 - 4. Solve g + f = w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259230479?\nAnswer: 259230479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -66 (b) 3 (c) 0 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6 = 4*i, -4 = -y - 4*i. Let o = 16 - y. Let h = o - -15. What are the prime factors of h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*w + 12*w + 540. Solve -8*f + 2 = -w*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, -2, -28, -64, -110, -166?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 7*c**2 + 68*c**2.\nAnswer: 59*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 times 0.0216?\nAnswer: 1.3176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -92*d - 3. Let j be x(0). Let a(f) = -5*f - 9. Determine a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10012 (base 4) to base 12\nAnswer: -19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5643092311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 71745.73741 and -0.3.\nAnswer: 71745.43741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18726226*k**5 + 2673800*k**2 wrt k.\nAnswer: 1123573560*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 42\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a tonne in kilograms?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose -2*o - 5*d + 15 = 0, -f*d + 17 = o + 5. Sort -3, 1\/4, o.\nAnswer: -3, o, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojoymmymm. Give prob of sequence yjo.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 0.5. Let y = -0.5 + z. What is the nearest to y in -5\/3, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4*5\/(-50). Is -15 >= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:02 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602969.\nAnswer: 431, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 10. Determine m(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -3*w - 0*w - 2*h, 0 = -4*w + 5*h - 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 a factor of 59293029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 0 - (-23 + 20).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/38 and -55\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8707)\/2*104\/13. Let x = n - 29608. Let k = x - -97436. What is k rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*h**3 - 20799*g*h**2 + 3*g*h + 103*g + 4014 wrt h.\nAnswer: 6*g*h**2 - 41598*g*h + 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28081 - -28078. Which is the fifth biggest value? (a) 0.5 (b) -4\/5 (c) -0.138 (d) x (e) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, l: 2, k: 2}. What is prob of sequence klk?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/5)\/((-1)\/(-5)). Suppose -2*d = -d - u. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 31\/6, -12\/83, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 1 = -11*h. Calculate the greatest common divisor of h and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2451*i + 31. Let b be u(-1). What is the greatest common factor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 5:44 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1661331 and 1423998?\nAnswer: 9967986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f - 5. Let p(q) = -8*q - 1. Let v be p(1). Let g be t(v). Solve 0*u + 4*r = -2*u - 4, -g*u + 3*r - 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/2 + 6984*r**4 - 181325*r**3\/2 - 627975*r**2 = 0. What is r?\nAnswer: -5, 0, 18, 13955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 225663251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700227 is divided by 1929.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -22\/5? (a) -5 (b) -0.09 (c) -2\/9 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110 - -113. Let p be f - 1\/2*6. Solve p = -7*x + 6*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 - -2)*38*(-3)\/4 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 765253902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -27*x - 7. What is the tens digit of f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -4164455?\nAnswer: -4164455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15404148 or 15404158?\nAnswer: 15404148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347077 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (187\/22)\/17*(-6)\/(-3)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11211000121201 (base 3) to base 16.\nAnswer: 270d09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 2)*(-1 + -8). Let r(c) = c**2 + 8*c - 5. Let n be r(v). Are 2 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 823084 and 4858?\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2204\/2204)\/((((-96)\/18)\/8)\/(4\/6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -560 - -2801\/5. What is the third biggest value in 11, q, -3, 2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10\/7, -3326\/3, -3\/4 in descending order.\nAnswer: 10\/7, -3\/4, -3326\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-8\/7)*s)\/((s**14\/s*s*s*s)\/s) assuming s is positive.\nAnswer: s**(-106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 2*j**2 + 4*j. Suppose 5*c - 2*c + 9 = 0. Suppose 39*w + 201 = 747. What is the remainder when p(c) is divided by w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**3\/6 - b**2\/2 + 2*b. Let j be o(-5). Suppose -x = 1 - j. Calculate the greatest common factor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -16. Suppose -2*b = -10 + 4. Suppose -b*t + 104 = 5*q, 6*t - t + 2*q = 186. Calculate the remainder when t is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/7)*(z\/z**(-2\/13))\/z*(z**(6\/7)*z)\/z*(z**7*z)\/z)**(-5\/17) assuming z is positive.\nAnswer: z**(-3840\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 83640 divided by -4182\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(228) - sqrt(228)*-1) + sqrt(228))*3 + sqrt(228) - (sqrt(228) + -1*sqrt(228)*-1 + sqrt(228) - sqrt(228)))\/(1*-1*sqrt(1200)))**2 + 1.\nAnswer: 329\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 6740790 to the nearest one hundred thousand.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjzjjzjzzzzjzjjj. Give prob of sequence zjz.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/14 and 83\/21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 12:16 AM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 20*u - 30 + u - 4*u + u + 1 - 1 + u + 4 - 4 + u + (-5*u + 3*u + 4*u)*(0 + 1 + 0) + 2*u + 3*u - 4*u)*(-3*u**4 - 3*u**4 + 5*u**4).\nAnswer: 17*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(200) - -2*sqrt(200)*-3) + -1*sqrt(200) + 5 - (sqrt(200)*1*6 + -1)))**2.\nAnswer: -1440*sqrt(2) + 28836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate x**2 - 103*x**4 - 4696 + 4976 - x**2 with respect to x.\nAnswer: -412*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 3. Let a be h\/2*3\/9. Let n = 10 - 6. Sort a, 2\/11, n.\nAnswer: a, 2\/11, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, -3, 235, -4, 4 in increasing order.\nAnswer: -54, -4, -3, 4, 235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:42 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4 + 9\/(-15). Let m be -1 + 3\/(-57)*-20. Let k = 21\/38 - m. Sort -4, f, k in increasing order.\nAnswer: -4, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/719592 and -107\/28.\nAnswer: 5037144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**16\/((u**(-1\/26)*u)\/u) assuming u is positive.\nAnswer: u**(417\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(72) + (sqrt(72) + 1 - sqrt(72))) + 4)**2 - ((0 + sqrt(72))*-2 - (sqrt(72) - (4*sqrt(72)*1)**2)).\nAnswer: 64 + 402*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3 = -3*s. Suppose 4*w + 20 = -5*c + c, s*c + 4*w + 20 = 0. Let y be 15\/6*(-8)\/(-5). Solve 5*d = -t + y*t + 14, c = -4*t + 5*d - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of -4*r**7\/35 - r**6\/60 + r**5\/30 - 9*r**4\/4 + r**3\/3 + 3875*r**2. What is the third derivative of u(i) wrt i?\nAnswer: -576*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 14*r**3 + 5*r**2 + 5*r - 5. Let a(p) = p**3 + p**2 + p - 1. Give 10*a(x) - 2*b(x).\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-4) - (-6)\/(-15)*1. Let d = 5 + -4.7. What is the closest to 0.1 in d, k, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.9 in 0.036, -0.4, -2\/15?\nAnswer: 0.036","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -191*q - 749. Give a(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -1. Suppose p*f - 1 = 5*o, 4*f - 3*o - 2 = 7. Suppose 2 = -2*t + f*t. Put -3, t, -5 in increasing order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-45))\/(20\/(-24))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 248907016?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 3.6. Let z = k - -2.3. Put -2\/7, z, -7 in descending order.\nAnswer: z, -2\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2079*r**3 + 105*r**2 - 98*r - 49. Let n(d) = 259*d**3 + 13*d**2 - 12*d - 6. Calculate -6*i(v) + 49*n(v).\nAnswer: 217*v**3 + 7*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 340*o\/3 - 338\/3.\nAnswer: -2*(o + 1)*(o + 169)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6, -5, -81 in ascending order.\nAnswer: -81, -6, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 7*p = 0. Suppose p = -4*c - 8, 2*v - 3*c + 5*c = 0. Solve 0*x = x + v for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 2a1?\nAnswer: -2a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 6) in base 9?\nAnswer: -313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*l + 2188098 = 2186434 for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 82.9. Let x = 4.1000017 + b. Round x to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 + 36*w**2 - 72*w.\nAnswer: -4*w*(w - 6)*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/9)\/(105\/45)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179532*l**3 + 11031892*l**2 - 17554320*l - 63504 = 0. What is l?\nAnswer: -63, -18\/4987, 14\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -77*c - 401. Determine o(-4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -114961\/103 or -1117?\nAnswer: -1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1039645, 2079224, 3118803, 4158382, 5197961, 6237540?\nAnswer: 7277119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24986 - 13770. Round u to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w*w**(1\/3)*w**(-3)*w**(1\/4))\/(w\/(w**2\/w)*w\/w**7*w**7*w\/(w*(w*w\/(w\/(w\/w**(-4)*w*w)))\/w)) assuming w is positive.\nAnswer: w**(91\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-24)\/15 - (-4 - -2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001101001111001011 (base 2) in base 6?\nAnswer: -35345311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122 (base 3) to base 12.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1449285, 2898570, 4347855?\nAnswer: 5797140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 158, 342, 598, 926?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1888.9 and -1?\nAnswer: -1888.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w - 62 + 426 = 112 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -0.5 (c) -9\/79\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2236*b = 2525*b + 5202 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -2\/5, -1\/6, 299114?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 65218*h = 65221*h + 56, -60*q + 42 = h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/29)\/x*x**(-1\/3)*x**(-1)*x**4)**48 assuming x is positive.\nAnswer: x**(2416\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 35. Suppose 0 = 3*l + d - 189, 4*l - 252 = t*d - 8*d. Calculate the remainder when l is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 465 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - o - 2*o)*(4*o**3 - o**4 - o**3 - o**3).\nAnswer: 4*o**5 - 8*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/44*(-45)\/(-18)*8\/2?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 7. Suppose 0 = k - 4*s - 8, -3*s - 52 = 2*k + 3*k. Let h be v(k). Which is smaller: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2650 = 11*x - 2705 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 151017781829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*(-15778)\/1288 - -6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 293*g**2 - 1463*g + 6623. What is k(288)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6\/409 - -9323\/5726. Let q = -831080119405\/2676 - -310568046. Let v = 1\/223 - q. What is the common denominator of v and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 1, e: 2}. Give prob of sequence eke.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -0.09.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 77 + -76. Let i = -2.7 + -0.3. Which is the closest to d? (a) -4 (b) i (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8894192?\nAnswer: 2, 23, 24169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264292334?\nAnswer: 2, 127, 1040521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 - 20*z**2 + 69*z + 54.\nAnswer: -(z - 3)*(z + 9)*(3*z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 11*r + 22. Let b = -114 + 104. Let n be j(b). Solve -n - 8 = -5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + 2*w**2 - 6*w**2)*(7*w - 11*w - 15*w)*(8 - 32 + 19)*(0*w + 2*w - 3*w).\nAnswer: 190*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 79207 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05844 minus 17?\nAnswer: -17.05844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2394135.\nAnswer: 3, 5, 83, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x - 3*x + 17*x - 4*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1397 + 3\nAnswer: -1394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.28 + 9.\nAnswer: 8.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*u**2)*(373*u**2 - 745*u**2 - 374*u + 374*u**2).\nAnswer: -6*u**4 + 1122*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6450239495 to four decimal places.\nAnswer: 0.645","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0*q + 2. Suppose q*l + 3*l = 0. Solve -g - 3 - 2 = l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 + -7?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3524646436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - 4*u**4 + 10*u**4 - 29 + (-20 + 20 + 18*u**2)*(-5*u**2 + 2*u**2 + u**2).\nAnswer: -32*u**4 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-24)\/10)\/(-2*9\/70140). Let k = n + -5451. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -11440331?\nAnswer: 11440323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 - 27*c**2\/2 + 10*c + 16. Let i be r(-22). Calculate the greatest common divisor of i and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30.2 + 30. Sort 3\/2, -4\/5, b in descending order.\nAnswer: 3\/2, b, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19844509*j**2*m**3 - 18651*j + 42*m**3 - m + 1 wrt j?\nAnswer: 39689018*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00172300168 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 2. Determine o(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*w**2 - 28*w**2 - 22*w**2 - 36*w**2 - 53*w**2 - 2*w**3.\nAnswer: -2*w**3 + 48*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 128. Suppose 3*q + k = 8*q + 3*t, 74 = 5*q - 2*t. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 57 = -4*p. Let j(n) = n**3 + 5*n**2 - 4*n - 4. What is the remainder when p is divided by j(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 10150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 + 12)*(-2)\/(-2). Suppose w*b = -2*b + 395. Calculate the remainder when b is divided by (-777)\/(-1036) - (-162)\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -4. Let h(x) = -20*x - 17. Let i(n) be the second derivative of 7\/6*n**3 + 3*n**2 + 0 - 11*n. Calculate d*h(j) - 17*i(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**(-2\/21))**(-1) assuming s is positive.\nAnswer: s**(4\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*r + 1418, 5*r - 2784 = c - 5*c. Let i = c + -412. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76, 130, 202, 268, 304, 286, 190, -8?\n\"Answer: -4*t**3 + 33*t**2 - 17*t + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 428108 + -270901. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0 + 0)*(2*l**3 - 2*l**3 - 2*l**3) - 12*l**2 - 4*l**2 - 2*l**4 + l**4.\nAnswer: -3*l**4 - 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10 + -9)*2134\/408. Let u = 1\/51 + d. Factor 3\/2 - 29\/4*z + u*z**2 - z**3.\nAnswer: -(z - 3)*(z - 2)*(4*z - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*z - t + 11 = -37*z, -5*t = -4*z + 62. Solve 0 = -0*p - 3*p + 2*u - 4, -4*p - 5*u = z for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110 (base 2) in base 5?\nAnswer: -204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -196*o - 8. Let b(n) = 1. Let m(d) = -6*b(d) - z(d). List the prime factors of m(1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*6\/468*((-540)\/510)\/(72\/(-306)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 4*o - 1 = 0. Let i = -332 + 992\/3. Which is bigger: i or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 178938443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293*v + 142*v + 2523 = -122*v. Sort v, -2, -5, 1 in descending order.\nAnswer: v, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 - 0) + 5 + -1. Let k be (-54*3\/(-2))\/y. Suppose 3*p - k = -6. What is the remainder when p is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 21*l + 36. Let f(z) = -40*z - 72. Let d(r) = 6*f(r) + 11*h(r). What is the remainder when d(-6) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22*-597.\nAnswer: 131.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**3 + k**2 - 2*k - 1. Let q(f) = -f**3 + f + 1. Let s(w) = 4*d(w) + 7*q(w). Let m be (-6)\/(-9*(-4)\/24). Determine s(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in hours?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/(-105) + 25175\/15 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396 >= 37\/99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 19*k - 33. Let q be r(2). Suppose 2*u - 1 = -a + 4*u, 0 = -2*a + 5*u + 1. Suppose 4*j + 77 = a*s, 3*s + j - 42 = -2*j. Solve s + 6 = q*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. What is the closest to 1 in v, 1\/5, -4\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 43*i - 47*i. Let p(u) be the second derivative of i*u**3 + 0 + 1\/48*u**4 + 2*u + 0*u**2. Factor p(w).\nAnswer: w**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 10*l**2 + 13*l + 2. Let u be g(-9). Let r = -61 - u. Calculate the remainder when (-453)\/(-27) + (-6)\/r is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4 - (18 + -6 + -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (231\/5 - -1)*(-12)\/576 and 133\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 15030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 2)*(-129*q + 8*q**3 + 129*q).\nAnswer: 24*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-3 + 3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {z: 8, t: 3, k: 1, b: 3, y: 4}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1728) - (-3 + sqrt(1728) - sqrt(1728)))*-3.\nAnswer: -72*sqrt(3) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b - 13*b = 103542 - 276162. Is 137 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*6\/(-162)*12\/16?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-13)\/26)\/(1\/(-12)). Let x = 8 - f. Put x, 1, 5 in descending order.\nAnswer: 5, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 13. Suppose -35*x + c*x - 246 = 0. Is 12 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 21*v - 16. Let f be b(15). Suppose 232 = 2*r + f. What is the remainder when r is divided by 37?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2765?\nAnswer: 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 2*p**2 + 3*p**2)*((3 - 3 - 8*p)*(216*p - 154*p + 216*p)*(5*p + 0*p - 4*p + (4 - 4 - 2*p)*(-1 + 3 - 3)) - p**2 + p**2 - p**3).\nAnswer: -13346*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6759.387 micrometers to kilometers.\nAnswer: 0.000006759387","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -4*r + 8, r - 2*n - 4 = -3*n. Suppose -17 = -3*j - 4*g, j + 1 = -0*g - r*g. Suppose -10 = -3*u + j. Is u a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m = 17. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -13 - 554*(6 - 7) is divided by 86.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 - 7*b - 1. Calculate j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.3. Let i = -3.1 + 3. Which is the closest to 1? (a) i (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52628772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628250?\nAnswer: 2, 5, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 875247.4t to micrograms.\nAnswer: 875247400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5344596, 5344694, 5344794, 5344896?\n\"Answer: i**2 + 95*i + 5344500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*-2*sqrt(32))**2 + -2.\nAnswer: 18430","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2123361.6 milliseconds to minutes.\nAnswer: 35.38936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqyqxqqvvqvqxv. Give prob of sequence qy.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6532)\/(-12))\/((-7)\/147). Does 13 divide h\/(-28) - 4\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - -9) + (-5 - (-14 - (10 + -15))) + -54.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -64081 - -4?\nAnswer: -64079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = 2. Suppose 0 = -v*r - 55 - 3. Let m = -16 - r. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (26\/(-13))\/((42\/36484)\/((-9)\/4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m**5 - 280*m**4 + 1145*m**3 + 775*m**2 - 585*m + 81 = 0. Calculate m.\nAnswer: -1, 1\/4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (41\/(-12))\/(0 + 6\/(-12)) and 101\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**21\/(((x*x*x**(-16\/3))\/x)\/x))\/(x**10\/((x*x**(-2\/59)*x)\/x)) assuming x is positive.\nAnswer: x**(3062\/177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 12*w**3 - 1 - 5.\nAnswer: -13*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/3))**22)**(-3\/25)\/(s**(-3)*s**(-4)\/s*s*s\/(s\/((s*(s\/(s**(-1)*s)*s)\/s)\/s))*(s*s*s**3)\/s) assuming s is positive.\nAnswer: s**(72\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1*-79*-1. Let a = p + 74. Let k = a - -17. Which is smaller: 32\/3 or k?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 338.8383ml?\nAnswer: 0.3388383","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 - 7*u - 7. Let g be w(-5). Suppose -g*o + 5 = -13. Let l be (-42)\/(-3) - o\/(-2). What is the highest common factor of l and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/43, -0.1, 1\/6, -1\/8, 2\/9 in ascending order.\nAnswer: -1\/8, -0.1, 2\/43, 1\/6, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c*u**3 - 5*c*u - 6*c + 2*u**4 - 9*u**3 - 2*u**2 - u - 12 wrt u.\nAnswer: 24*c*u + 24*u**2 - 54*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -463 - -474. Let u(z) = 260*z**2 - 176*z + 11. Let d(r) = -129*r**2 + 88*r - 6. Let b(k) = c*d(k) + 6*u(k). Find the second derivative of b(p) wrt p.\nAnswer: 282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -54911*o + 1537551. Calculate j(28).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 10*r + 30 = 14*r, 0 = -4*f - 2*r + 18. Which is the nearest to -1? (a) -1\/5 (b) 11 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 346*w + 79002. Calculate s(157).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 66 + 27283?\nAnswer: 27360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -480*c + 4324. Give n(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 8) to base 14.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q - 22*q**3 + 5*q.\nAnswer: -22*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 20*r**2 + 15*r - 74. Calculate p(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d5a (base 14) to base 7.\nAnswer: -65443","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of -167*i**7\/210 + i**5\/60 - 88*i**3 + 2*i**2 - 46. Differentiate u(p) with respect to p.\nAnswer: -668*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhshsrhshhwhqssrsss. Give prob of picking 3 h and 1 r.\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 110443777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2. Let g(z) = -4*z - 20. Let v be g(-5). Let q(n) be the third derivative of 0*n**4 + v*n**3 + 0 + 1\/60*n**5 + 4*n**2 + 0*n. What is b(q(f))?\nAnswer: -f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 1 = -5*d + 3*o, 4*o + 21 = -5*d. What is the remainder when 170 is divided by (-1 + 3)*d*145\/(-5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42792865 times -2.5\nAnswer: 106982162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b - 6*b + 43 - 43 + 2*b.\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*k - 31*k - 110 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5154108184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1445, -4, -70, -8, 10 in descending order.\nAnswer: 10, -4, -8, -70, -1445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -40*l - 153. Let x be k(28). Is x > -1274?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -270.2 + 270. Sort o, -2, 53, -1\/3 in ascending order.\nAnswer: -2, -1\/3, o, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 3*k**5\/20 + k**4\/6 - k**3\/2 + 3*k. Calculate the remainder when z(2) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6996*g**4 + 44794*g**2?\nAnswer: 167904*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2036.9995526 + 2037. Round b to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 19 + 2006\/17*2. What is the highest common divisor of l and 90?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 1687 + 1687. Let n be j(-3). Suppose 1680 = 14*z - n*z. What is the highest common divisor of z and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 14, -5, 16602?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + (-14)\/(-6). Let m(b) = -b**3 - b**2 - b. Let h(o) = 7*o**3 + o**2 + 9*o + 1. Let s(q) = -h(q) - 6*m(q). Does 4 divide s(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243*a = -245*a + 60. What is the smallest common multiple of a and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363329.\nAnswer: 73, 46073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 42702*o - 30. Give n(0).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 722299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 19 - (12 - (-17 + 13) - (-23 - -11)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 4*w = -2*k - 12, k - 2*w = 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-5 + (-13 - -19 - (-1 - 3)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqu when three letters picked without replacement from {q: 3, u: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 93 - 35. Let d = j - 15. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 10:13 AM?\nAnswer: 10:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -8 = 84471?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -7*f + 6*f. Let k be (2\/f)\/(8\/(-72)). Solve k*x - 12 = -0*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -8. Let x = 0 + 0. Solve -w**n + 0*w**2 + x*w**2 + w**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 947304 and 708917?\nAnswer: 3011479416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - (-2)\/2*1. Suppose 1 = 2*k - 9. Solve -k = 5*w - b for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**4\/6 + 44*l**3\/3 - 384*l**2 + 4096*l\/3 - 1032. Factor b(j).\nAnswer: -2*(j - 32)**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00143429734 to five decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + 20, l + l = a + 280. List the prime factors of l.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of -x**5\/60 + 17*x**4\/24 - 5*x**3\/2 + 6*x**2 + x - 100. Give h(13).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 781?\nAnswer: 6248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 42*s + 3 + 2 to t*s + v and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 61*w - 61*w + 52*w**5 - 2*w + 2*w + (-w**4 + 3*w**4 - w**4)*(2 + w - 2).\nAnswer: 52*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1\/33 (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 702878621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146 + 73 - 68*k + 73 + 1229*k.\nAnswer: 1161*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-3 + sqrt(500))*-6 - (sqrt(500) - (sqrt(500) + sqrt(500)*-1))*-1))**2.\nAnswer: -45000*sqrt(5) + 320600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of 31*v**8\/1680 + 7*v**6\/72 - v**3 + 26*v. Let g(y) be the second derivative of u(y). Find the third derivative of g(x) wrt x.\nAnswer: 744*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -509*q**4 - 25*q**2 - 5*q + 8. Let j(a) = -1527*a**4 - 73*a**2 - 16*a + 28. Let t(s) = 2*j(s) - 7*o(s). What is the third derivative of t(n) wrt n?\nAnswer: 12216*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1062, -0.286 in increasing order.\nAnswer: -4, -0.286, 1062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -8*n + 1. Let t(x) = 7*x. Let m = 6 - 2. Let g(s) = m*h(s) + 5*t(s). What are the prime factors of g(3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5367 is divided by 137.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = -4*n. Let a(j) = 2*j - 8*j - j**2 - 7 - 2*j. Give a(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(3\/7))**(-12)*((s\/(s*s**(8\/3)\/s)*s)\/s)\/(s*s\/s**(-2\/5)) assuming s is positive.\nAnswer: s**(-1147\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o - 5*q - 5, -3*o - 3*q = -6. Suppose -4*s + 3 = -o*s. Which is the nearest to s? (a) -8 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 y when four letters picked without replacement from yiyyiiyiiyii?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 10:59 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-143)\/60 + (8 - (-708)\/(-90))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 2:46 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -415*j + 92. Let l(q) = -210*q + 45. Let v(r) = 5*l(r) - 3*s(r). Differentiate v(z) with respect to z.\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1a99751?\nAnswer: -1a9974e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -26*a**2. Let w(u) = 52*u**2 + 3*u + 42. Let s(c) = 935*c**2 + 55*c + 770. Let r(x) = 3*s(x) - 55*w(x). Give r(y(j)).\nAnswer: -37180*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 22*x**2 + 43*x - 12. Let h be k(-18). Suppose 0 = -2*g + h + 258. Calculate the highest common factor of 24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14588 - -3)*(8\/3 + 16\/(-24)).\nAnswer: 2, 14591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -7*q**4\/24 - 56*q**3\/3 + q**2 + 26. Let i be u(-16). Solve 5*w = -4*m - 7, 4*m + i = -3*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -1\/7 (b) -193 (c) 3\/2 (d) -0.02 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 9*s**2 - 15*s - 7 - 2 + 4*s + 2 + s**3. What is the lowest common multiple of k(-10) and -2 - (2\/(-1) - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2098779 a multiple of 508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 11:12 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(-7)*n**(2\/17)*n assuming n is positive.\nAnswer: n**(155\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -3\/20*g**5 + 1\/4*g**3 - 41 + 0*g + 0*g**4 + 0*g**2. Factor q(w).\nAnswer: -3*w**2*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 70.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13301 + 5?\nAnswer: -13252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/7 and 139\/2544?\nAnswer: 17808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -39. Suppose -f = -25*p + 32*p. Let l(n) = -n**3 - 3*n**2 - n - 2. Let b be l(-3). Put 4, p, b in decreasing order.\nAnswer: 4, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/13, -24, -4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40199743 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -685, -1355, -2023, -2689, -3353, -4015, -4675?\n\"Answer: w**2 - 673*w - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008678 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/22438 and 149\/7734?\nAnswer: 86767746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*b = -41*b. Suppose -l + 0*l + 2 = b, -5*l - 232 = -2*x. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 971 and 2958223354?\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40.34 - -40. Let w = d - -0.489. Let o = 0.096 - w. What is o rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*a**2 + 68*a - 134*a + 66*a + 1 to the form t*a + c*a**2 + q and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.3 less than -3062?\nAnswer: -3014.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 13. Let x = -11\/2 - i. Find the common denominator of x and (1 - 0) + (-125)\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3 = 0, 2*l + 95 - 1682 = -h. Suppose 0*q + l = 5*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.076 and -12.\nAnswer: -11.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 1735*a - 22900. Calculate u(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6776 and 3476.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.31, 0.05, -2\/17, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 1.18911.\nAnswer: -0.475644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - -1110011010001011?\nAnswer: 1110011001110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 17 + 7 = 0. Let v be (6\/(-15))\/(w\/10). Which is smaller: -25 or v?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29473 + 29897. Which is bigger: 421 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (10 + -19 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 6 = -4. Let w = 76.41 - 76.44. Put v, -2, 0.1, w in increasing order.\nAnswer: -2, w, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420653 to the power of 1\/2, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 5:57 PM?\nAnswer: 2:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5953762*y**4 - 5718*y**2 - 643*y.\nAnswer: 142890288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.52 + 28.98. Let x = -44 + b. Let o = x - -14. Sort o, 4, -5 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/10*(-391)\/204*-30*27\/(-378)?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.61972ml to litres.\nAnswer: 0.04661972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298873.\nAnswer: 47, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*-2*3)**2 + -5 + (sqrt(612)*-1 + 2)*-3.\nAnswer: 18*sqrt(17) + 22021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 279, -2, 1 in decreasing order.\nAnswer: 279, 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 16.048. Let h = 1807.95435 - 1808. Let m = k + h. What is m rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -54*t**2 - 158*t + 23047?\nAnswer: -108*t - 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/4 - (-23)\/92)*232. Let z = 116 + w. Solve v - m + 6 = -z*v, -4*v - m - 9 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*y + 91*y - 292*y + 120*y.\nAnswer: 44*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 457 and 8249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:07 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*z - 795, -2*o = -36*z + 38*z - 1602. List the prime factors of o.\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -910 + 912. Which is the nearest to 1? (a) i (b) 5\/6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s - 3 = 0. Let w = 4 + -6. Let d be 1\/(1*w + -2). Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 746 - 570. Calculate the greatest common divisor of 154 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 + -34. Calculate the highest common factor of 5 and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 414 + -411. Suppose -2*t - 28 = -7*t - 3*g, u*t - 16 = -g. Solve -t*i + 9 = -6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**2 - 7*a**2 + 15*a**2. Let b(f) = -3*f - 4*f - f. Give b(v(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add 145127.3619458 and -0.2.\nAnswer: 145127.1619458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.248482738 rounded to 4 dps?\nAnswer: 0.2485","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*d + 1073105 = 0, d = 5*y - 929402 - 859099. What is y rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) -2830 (c) 1\/6 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1513940165*a - 167789739 with respect to a.\nAnswer: 1513940165","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 13*x - 18. Let z be q(-11). Which is the third biggest value? (a) -0.02 (b) z (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 9*p = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18099504?\nAnswer: 2, 3, 41897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(651\/(-186)*2*(-2)\/2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 12. Let t(n) = -28*n + 2. Is 29 a factor of t(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1211565.9 to the nearest one thousand.\nAnswer: -1212000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y - 14*y - 6 + 6 to the form n*y + q and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -24117462?\nAnswer: 24117462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + 4*s - 10. Let y be r(2). Put 3, -46, y in descending order.\nAnswer: 3, y, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1744458 + 732*s**2 - 872232 - 872219 + 2*s + (5 + 2 - 5)*(-2*s**2 + 2*s - 2*s) to the form t + r*s**2 + h*s and give r.\nAnswer: 728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 150878 (base 10) in base 4?\nAnswer: 210311132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(1008) + -1 + -4 - (1*(sqrt(1008) - ((sqrt(1008) - 2*sqrt(1008)) + sqrt(1008)) - sqrt(1008)) + 4*(1 + sqrt(1008)))) + -1)**2.\nAnswer: 1080*sqrt(7) + 9297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, k: 1, v: 3, n: 3, r: 1, b: 1}. What is prob of sequence vkm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 16 = 56. What is the smallest common multiple of s and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*x - 153*x - 5*p = -72, 3*p - 167 = 128*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 4*s + 1 = h, -s + 1 = 2*h. Suppose -4*v - 88 + 296 = h. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 18533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214 = -36*l - 263 + 117 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/33? (a) 1.041 (b) -0.1 (c) 0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 41.17 and 1330743942.\nAnswer: 1330743983.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n**2 + n - 1. Let o be 12\/(-10)*(-30)\/12. Suppose -i - 17 = -r - 3*r, -5*i + 30 = o*r. Let v(t) = -3*t**2 - t. Determine i*v(w) + 2*m(w).\nAnswer: -w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 785.73 + 0.27. Let a = w - 786.0167. What is a rounded to 3 dps?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -1b7bb?\nAnswer: -1b7bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g + 11677 = -46259. What is the highest common factor of 48 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1341 minus -2.39?\nAnswer: -1338.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 4*l**3 - 8*l**3)*(-3*l - l + 2*l)*(1 - 3*l - 1).\nAnswer: -42*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4179, -4015, -3853, -3693, -3535, -3379?\nAnswer: -3225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 318443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o = 4*h - 773, 5*o - h = 1250. What are the prime factors of o?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2) - 408\/16*5. Let i = s + 72. What is the remainder when 49 is divided by ((-4)\/(-12))\/(i\/(-54) - 1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1602 + 1?\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5410, -21712, -48884, -86926, -135838?\n\"Answer: -5435*m**2 + 3*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/1172073 and -155\/912?\nAnswer: 356310192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0765 + 19.9235. What is the third biggest value in -2\/3, x, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - 344\/(-12)) + -12?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -0.031002727782?\nAnswer: -1.031002727782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*y = 94*y - 130. Let i(q) = -q**2 + 30*q - 99. What is the least common multiple of i(y) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3 - 1 + 5*h + 6*h. Let g be u(3). Suppose -2*i - g = -155. Calculate the highest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1332*h + 1336*h + 3*m - 101 = 0, -3*h = 2*m - 76. Calculate the remainder when 123 is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 14 - 7 = 0. Let g(u) = m*u - 251 + 251. Let n(v) = -3 + v + 3. What is g(n(w))?\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24895751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*u = 24, -4*p - 5*u + 31 = -0*p. Suppose 2*h - 16 = -5*f + f, 5*f = 4*h + 7. Put h, -2, p in decreasing order.\nAnswer: p, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -456343514, -456343515, -456343516, -456343517, -456343518?\nAnswer: -456343519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = 10. Let w be (36\/3)\/(-3)*r. What is the greatest common factor of 16 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650773808.\nAnswer: 2, 40673363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0, -113, -2\/7, -1, 29?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 - -45. Let c be (6\/4)\/((-2)\/b). Solve -5*s = c*g - 5, -s - 4*g = 15 + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -2\/5, -4, -3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 5. Suppose h*a - 5 - 4 = -x, -5*a + 2*x + 4 = 0. What is the least common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -15*l - 1. Let s(z) = z**3 + 9*z**2 - 33*z + 29. Let p be s(-12). Let n(a) = a + 6. Let i be n(p). Calculate q(i).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10507355?\nAnswer: 5, 2101471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r = -3*r - 42. Let q(t) = 0*t**3 - 2 - t**3 - t**3 - 8*t**2 + 0*t**3 + 5*t. Let o be q(-6). What is the highest common divisor of r and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4742, -4747, -4752?\nAnswer: -4757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-23))\/x)**(-11\/2) assuming x is positive.\nAnswer: x**(-253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.5 - -6. Let l = v + -1.1. Let d = -0.3 - l. What is the third smallest value in -1, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 40, 44, 50, 58, 68?\n\"Answer: o**2 + o + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 4 = -5*j - 21, 0 = -4*i - 15*j - 64 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*h - 13. Find the first derivative of -59*x**2 - 7 - 11 + 61*x**h + 9*x - 3 wrt x.\nAnswer: 4*x + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 4 = 4*b - 28, 3*b = 2*a + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 486*d - 218 = 985*d + 79 + 202 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 + 23*q + 11. Let o(j) = j**3 - 5*j**2 + 3*j - 10. What is the smallest common multiple of o(5) and f(11)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*d = 10, 15*t + 2*d - 2 = 14*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 6*y + 16. What is the common denominator of -81\/10 and ((-5)\/(-15*y))\/((-38)\/642)?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/40*(-13)\/(364\/(-24)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-5)*24\/(-24)*140\/14.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 447\/4 - 111. Put v, -5, -2\/5 in ascending order.\nAnswer: -5, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x = -51*x + 735 - 1351 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 12*a = -680. 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 s = -0.05087 - 0.34913. Which is the second smallest value? (a) -3.6 (b) s (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 262 + 247 = 0. Sort 2, -4, b in decreasing order.\nAnswer: b, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**4\/4 - o**3 - o**2 + 9. Let d be v(-2). Suppose d = -4*w - 0*i - 4*i + 384, 2 = -i. Round w to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5523862 is divided by 1221?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 315563089 to the nearest 1000000.\nAnswer: 316000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 12160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 677115?\nAnswer: 5416920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 890725269 to the power of 1\/3, to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 13278*r**2 + 13289*r**2 + 4*r + 1)*(-2*r + 4*r - 3*r) to t*r**3 + n*r**2 + g + w*r and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 - -0.53. Let q = -0.01 - k. Let t = -0.04 - q. Which is the nearest to t? (a) 5 (b) 1\/4 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 241 times 0.07\nAnswer: 16.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1851470980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2301.1 + 2301.9. What is the fourth smallest value in m, 4, 16, -0.09?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 802548.8 decades to months.\nAnswer: 96305856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 9) in base 5?\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.19+1460.6\nAnswer: 1460.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**3 + 2 + m**3 - 1 + (-12*m - 128 + 128 + (-2*m - 2*m + 2*m)*(-2 - 5 + 4))*(-4*m**2 - 2*m**2 - 7*m**2).\nAnswer: 79*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2201*t - 2224*t = 207 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.1 or -14250?\nAnswer: -14250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 49 = -o, 3*o - 111 = 7*o + 5*d. Let t = o - -56. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -20, -4*k + 9*k = 5*f. What is the remainder when (7 + 3)\/(k\/18) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10 - 28*d**2 - 4 + 18*d**2 + 10*d + d**3 + 5. Suppose -10 = -5*m, -b - 4*m + 24 = 7. Let l be w(b). Solve 3*r - r = l for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/8635 or -0.0145?\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2, -602, 5.\nAnswer: -602, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2248 divided by 11468\nAnswer: -562\/2867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**3 + 9*v**2 + 7*v + 11. Let s(r) = r**3 - r**2 - 1. Let z(c) = 3*s(c) + x(c). Let n be z(-4). What is the greatest common factor of n and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1647299691 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: Expand 27*x - 8*x - 11*x + (-4*x + 3*x - 2*x)*(-2 + 3 + 2).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2139818, 3 in increasing order.\nAnswer: -2139818, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1)\/(3\/(-10340)))\/((-58)\/(-87)).\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/2)\/((-19)\/((-4560)\/45))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1.9. Suppose 2*k + 141 + 154 = r, 755 = -5*k - r. Let f = k + 116. Do b and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45919?\nAnswer: 47, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -4 (b) 3 (c) 0.2 (d) -3 (e) 123\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 + -2 - -2 - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.047 - 5.953. Let n = -0.5 - 28.5. Let w = n + 29. What is the smallest value in 5, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/229 at least as big as 0.1181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151074?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 12:49 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 5*r**2 + 0*r**2)*((2 - 5 + 5)*(-26 + 26 + 11*r) + (2 - r - 2)*(1 - 5 + 2) + r - 3 + 3 - 2*r + 0*r + 4*r).\nAnswer: 81*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -55*t**2 - 11*t. Let v(m) = -104*m**2 - 20*m. Let j(f) = -11*o(f) + 6*v(f). Let b(u) = 135*u. Give j(b(w)).\nAnswer: -346275*w**2 + 135*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4276 - -4267. Which is the fourth smallest value? (a) p (b) 2\/7 (c) 0.091 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -205, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*s**2 + 99*s*v*y - 11*s*y - s + 3*v*y - 2087*v + 19*y wrt s.\nAnswer: -16*s + 99*v*y - 11*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*(0*p - 4*p + 3*p) + 15*p + 17*p - 23*p to n*p + h and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 19*t**2 + 6*t**2 + 10*t + 9*t**2 + 14*t.\nAnswer: -4*t*(t - 2)*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2. Let c(h) be the first derivative of -3*h**3 - h**2 - 197. Determine c(b) + 4*o(b).\nAnswer: -5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -56*a**2 - 24*a + 3. Let k be j(-5). Let q = -578 - k. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 47.8278 milliseconds?\nAnswer: 0.00079713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*p**2 + 10*p**3 + 15*p**2 + 6*p**3 + 5*p**3 - 2*p**3 - p**3 + (4*p - p - 5*p)*(-1 + 1 - p**2) in the form o + y*p + t*p**3 + f*p**2 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from kkmkvvkvkv?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 267864.7 and -0.564907.\nAnswer: 267864.135093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 830681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11*k**3 + 20*k**2 - 29*k + 2. Let t be p(-11). What is t rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11050\/3 + -3684. Let x = -5 + 4.5. Which is the nearest to -0.2? (a) t (b) x (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-2) - (-5306)\/(-758)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5408)\/(-156) + -38)*846\/(-60)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*n**2 + 25 + 16*n**2 + 11*n**2 + 16*n**2.\nAnswer: 3*n**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31120 (base 4) to base 10.\nAnswer: -856","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**3 + c**2 + c. Let x be t(-1). Let m be (20\/8 + -2)*4. Let p(a) = a - m*a**2 - x*a + a. Let s(f) = -3*f. What is p(s(i))?\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/4 + 32*a + 63 = 0.\nAnswer: -126, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 5:26 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/2*210\/(-165) and 38\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 24601 and -0.92.\nAnswer: 24600.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**5\/2 + 83*n**4\/2 + 427*n**3 + 1911*n**2 + 5831*n\/2 - 2401\/2.\nAnswer: (n + 7)**4*(3*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*-10 - (-264)\/(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 158, -4, 1\/5?\nAnswer: 158","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 665894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40355142673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of s**2\/2 + 10*s + 4. Let q be a(0). Suppose 0 = 5*v - q - 10. Put -3, v, -4 in ascending order.\nAnswer: -4, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 2*n**5 + 13*n**4 + 2 + 58\/3*n**3 - 17*n + 12*n**2. Factor o(b).\nAnswer: 4*(b + 3)*(2*b + 1)*(5*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 16431884?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0406199175 - 0.1023876841. Let l = t - -7.0617672266. Let k = -7 + l. Round k to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*h*t**3 + 2*h*t**2 - h*t + 6*t**2 wrt t.\nAnswer: -84*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 5)*(7 - 2*m + 4*m - 40).\nAnswer: 4*m - 66","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86 - 92) + 21\/(-63)*(-200 - 1).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 67 - 30 - 19389*u in the form w + l*u and give l.\nAnswer: -19389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -312 - -21332301321?\nAnswer: 21332301003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 41. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 17 = -5*h, 5 = -3*d + h + 10. Solve -d = -b + a, 4*a - 19 = -2*b - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267*x**2 - 40*x**2 - 108*x**2 - 118*x**2.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1435340 - 15?\nAnswer: -1435355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 - 50 - 3 + 2*w - 9*w - 15 + 15 + (-2 + 5 - 2)*(3*w + 0*w - 5*w).\nAnswer: -9*w - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - w**2 + w + 8. Let l(s) = s**2 - 9*s + 5. Suppose -9 = -0*y - y. What is the remainder when r(0) is divided by l(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3 - 8*c**2 + 7*c**2 + 0*c + 7*c + 2*c. Calculate r(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -234673*c**2*k**2 + 781808*c**2 with respect to k.\nAnswer: -469346*c**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a millennium in centuries?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25130 + 48633. What are the prime factors of j?\nAnswer: 19, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20 and 770515.\nAnswer: 770535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*j - 16*j + 45*j - 15*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f - 3*d + 1, 6 + 0 = 3*f - 3*d. Let k be 1\/((1\/13)\/f). Suppose -2*h = -h - k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-5 + 0 - -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = c, 2*c = 3*d + 4 - 1. Let j be 9*(-4 - (-4 + -1)). Let f = c + j. Solve 4 = g - f*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 2)*(7\/(6 + 1))\/(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1138, 4522, 10156, 18034, 28150?\n\"Answer: -y**3 + 1131*y**2 - 2*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:08 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 532628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) 1 (c) 4632 (d) -3\/2 (e) 3\/2 (f) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 j, and 2 a when four letters picked without replacement from {r: 1, j: 2, e: 1, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (324\/360*5\/(-6))\/(((-55)\/60)\/11)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a minute in seconds?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -61. What are the prime factors of (r\/(-23))\/((-4)\/82)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 198*v**4 - 120.\nAnswer: 792*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 238562.5um in meters?\nAnswer: 0.2385625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 30*p - 74. Give v(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 1:54 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 + 8*j + 1. Let z be c(8). Find the common denominator of (260\/32)\/(2\/z) and -57\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 3:22 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -7*y**2 + 37*y + 4. Let o(i) = -3*i**2 + 18*i + 2. Give 5*o(g) - 2*x(g).\nAnswer: -g**2 + 16*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 6 (c) 6\/11 (d) 2 (e) -70\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3681245)\/(-225) - (-1 + 16\/12). Let t = w + -16359. What is the common denominator of 6\/35 and t?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 + 30315*j - 7963250.\nAnswer: -(j - 30050)*(j - 265)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.472 + -1.036. Let f = -0.036 + m. Let z = f - 5.3. Which is the closest to -1\/2? (a) 3\/4 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from guoyeggugyuonuggoeu.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96551680.\nAnswer: 2, 5, 75431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1719\/4 smaller than -431?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*u**2 - 48585*u**3 + 95*u**2 - 198*u**2.\nAnswer: -48585*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 2. Let i be (-3)\/8 - -202*(-154)\/(-352). Suppose h*d + i = 4*t, -15 = -t - d + 11. What is the lowest common multiple of t and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 238\/8 + 2\/8. Suppose 2*o - t - 20 = 0. Suppose 4*n - 407*x = -402*x + 29, -77 = -7*n + 5*x. What is the remainder when o is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185975?\nAnswer: 3, 5, 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -12, 4, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 + 6*z - 6*z - 2*z + z**4 - 2*z**4 + 3 as n*z**2 + l + o*z + a*z**3 + v*z**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/11)\/((-46)\/46).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -35 + 19 + 21 + -36?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -k - 8. Is (2 + 53 - -3) + k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enm when three letters picked without replacement from eqmnemmqeq?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2212 + -2213. Let q = 1 + 3. What is the closest to h in 1\/4, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125369?\nAnswer: 283, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 154272113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/1*(-4 + 37\/9). Let d = -2 + 2.1. Let z = d + -0.3. Sort q, -3, z in descending order.\nAnswer: q, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129178789 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -69137, 0.008, 7?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67096*l**2 + 133764*l**2 - 66656*l**2.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -9, 2*u + 0*u = y + 8. What is the smallest common multiple of 14 and -3 - 2\/(4\/y)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 11:46 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 493215 or 493214?\nAnswer: 493215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -45*l**2 + 1543*l + 239. What is g(34)?\nAnswer: 681","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.76 * -7884900.\nAnswer: -13877424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1473, -1, 8, 19, -107.\nAnswer: -107, -1, 8, 19, 1473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 2, 70.9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/24 and -79\/38996.\nAnswer: 233976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Suppose -d + 2 = -4*u, k*u - 2*d - 4 = -4*d. Factor u*a - 2\/3 + 2\/3*a**2.\nAnswer: 2*(a - 1)*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 0 + 3*b**3 + 0*b**3 + 0*b**3.\nAnswer: 3*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.0244 - 55061?\nAnswer: -55064.0244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-10) + (-22)\/55. Suppose -12*h + 11*h + 471 = w. What are the prime factors of h*(-1 - (-20)\/15)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(2\/3)\/i)**(-47))**(-1\/7))**(1\/11) assuming i is positive.\nAnswer: i**(-47\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1543*y**5 - y**2 - 200 wrt y?\nAnswer: -92580*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -188*x + 38152. What is c(203)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -64, -184, -352, -562, -808?\n\"Answer: s**3 - 33*s**2 + 26*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (22\/10 + -1)\/((-27)\/(-90)). Suppose -a - 127 = -y*l, 0 = -3*a + 3 - 0. What is the greatest common factor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 274 + -157. Is 28 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 22\/(2 - (-1 - -1)). Suppose f*r = 6*r + 30. Let a(d) = -d - 2. Let m be a(-5). Solve m*b - r + 0 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65.4 + -65. Which is the second smallest value? (a) v (b) -1\/4 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11261621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 45535 and 65050?\nAnswer: 455350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 10. Solve -4*t + 7 = -c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -j**4\/4 + 206*j**2 - 863*j + 77. Find the first derivative of p(r) wrt r.\nAnswer: -3*r**2 + 412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1826 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-130)\/(-20)*(2 - 0) is divided by (2\/(-6))\/(3\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z + 2*z**2 + 2*z)*(14 - 1 - 6)*(-37*z - 8*z + 15*z).\nAnswer: -420*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000706 to seven decimal places.\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 8. Let v(a) = a**3 - 3*a**2 - 9*a - 2. Let w be v(7). Suppose w = -3*x + 320. Calculate the remainder when x is divided by j(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1\/8*0)\/1)\/(2\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229209 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -1 + 13. Calculate the remainder when l is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of q**5\/20 + 5*q**4\/12 - q**3\/3 - 5*q**2\/2 + 5*q - 2. Let k(d) be the first derivative of n(d). Give k(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k + 3*k + 3*k. Let p(o) be the first derivative of -11*o**3\/3 - 3718. What is p(q(a))?\nAnswer: -891*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 26\/7*c**2 + 2\/7*c**4 - 24\/7*c - 12\/7*c**3 + 8\/7 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/96)\/(3 - (-1610)\/(-536)). Suppose b = -7*c + 1131. Is c a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 14. List the prime factors of b(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 - 3*x + 2. Let v(h) be the third derivative of h**5\/60 - h**4\/24 + 4*h**2 + 3. Calculate -d(r) + 3*v(r).\nAnswer: r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 4*i - 14, 3*d + 31*i - 17 = 35*i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, 59, 0.218, -0.1?\nAnswer: 0.218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2144256 a multiple of 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-25))\/(-6*(-2)\/(-40))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58643601 - 58643601 + 473*i**2.\nAnswer: 473*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + -652?\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10213128061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-s + 2*s - 3*s)*(2*s + 2*s - 3*s) - 2*s**2 - 5 + 5 + 7*s**2 - 5*s**2 - 5*s**2)*(-5*s**3 + 4*s**3 - s**3).\nAnswer: 14*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1445*m**5 + m**4 - 3*m**2 + 109*m - 1?\nAnswer: -86700*m**2 + 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g - 993*g**2 + 12*g + 29*g - 48*g + (-3*g + 0*g + 4*g)*(g + 4*g - 3*g).\nAnswer: -991*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 3:00 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.3 - -0.7. Let a = -2 - c. What is the closest to 1\/3 in 0, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.211*-307.\nAnswer: 64.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*a - 35, 3*a = 2*l - a - 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1474.\nAnswer: 5\/1474","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -636*r**2 - r + 3438 wrt r?\nAnswer: -1272*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 - 7*t + 496. List the prime factors of w(18).\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 438 - 38. Suppose -2*k - m = -b - b, -5*b + 2*k = -598. Suppose 6*v = a + 3*v - 7, -2*v = 5*a - b. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 19 = 27. Is 8 a factor of -12*a\/4*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 - 1035 + 85 = 153*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (6 + 16 + 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 348\/295 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -24. Let c(x) be the second derivative of 0*x**4 - 8*x + 0*x**3 - 1\/5*x**6 + x**2 + 0 + t*x**5. What is the first derivative of c(v) wrt v?\nAnswer: -24*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 5*z - 12*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 159890371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 309706745 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 9*h**2 - 13*h - 5. What are the prime factors of z(-5)?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374969, 374962, 374955, 374948, 374941?\nAnswer: 374934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 55406396\/3 and 18468798 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 - -20?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 30\/25*5\/2 - -13. Suppose -3 = -4*u - 3*p + 4, u - 4*p = f. Factor -4*b - 13*b**2 + 3*b**2 + 9*b**2 - u.\nAnswer: -(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a - 1. Let o be z(-5). Suppose 3*t + o - 20 = 0. Is 4 a factor of (-68)\/t - (-18)\/81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -122?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363) + sqrt(363)*1*-4)*-6 + -3 + (sqrt(363) - (sqrt(363) - ((sqrt(363) + 0)*3)**2)).\nAnswer: 198*sqrt(3) + 3264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -9*r**2 - r - 7. Let f be d(2). Let p be (122\/(-4))\/(f + 43). Is 16 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -600041651 + 4?\nAnswer: -600041644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*-123.4.\nAnswer: -1727.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 - ((-12 - 16) + 17).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y. What is a(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6590 and 14693723.\nAnswer: 146937230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - -13. Let a = v + -17. What is the third derivative of -6*u**5 + 15*u**a - 18*u**2 - u**5 wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 425 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -543*c - 172*c + 66*c to the form i + z*c and give z.\nAnswer: -649","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z. Let u be (37 + -36)\/(39\/12 + -3). Let b(y) = -3*y. Suppose 1 - 15 = -2*q. What is q*t(i) + u*b(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 1. Let i be x(-1). Find the third derivative of -m**2 - m**3 - 6*m**3 + 6*m**i wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -50642, -99323, -148004, -196685, -245366, -294047?\n\"Answer: -48681*i - 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.6. Let q = 881\/504 + 1\/504. Let v = q + -37\/28. What is the fourth biggest value in i, v, 0.4, -2\/17?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-7)\/(567\/12).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3220412 (base 5) in base 8?\nAnswer: -152322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.2 (b) 26 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 18\/5 of a microsecond?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 64 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 354.58635 + -0.4.\nAnswer: 354.18635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**13*o))\/(o\/o**19)*(o**14*o)\/(o\/o**(-1\/5)*o) assuming o is positive.\nAnswer: o**(89\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of 59*f**3\/3 + 19*f**2 + 197*f. Find the first derivative of p(d) wrt d.\nAnswer: 118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/9 + 4\/18. Let h = -21.7 - -22. What is the third smallest value in 1\/2, h, c?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73c1 (base 13) in base 8?\nAnswer: -37253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4050\/275)\/27)\/(2\/44) - 19061\/1589.\nAnswer: 1\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1. Let w(v) = v + 20. Let r(q) = 4*u(q) + w(q). Let b(y) = -7*y + 0*y + 7*y + 2*y. What is r(b(h))?\nAnswer: 2*h + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -717, -1668, -2885, -4368, -6117?\n\"Answer: -133*y**2 - 552*y - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, g: 1, e: 1, r: 2, m: 1}. What is prob of sequence egs?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177828?\nAnswer: 2, 3, 7, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -7447*x. Let n(g) be the first derivative of -g**2\/2 + 4199. Calculate b(n(m)).\nAnswer: 7447*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 14*r + 132. Suppose w = -5*u + 441, 5*u = -5*w + 2006 + 159. What is the remainder when w is divided by i(-6)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -193119000 to the nearest 1000000.\nAnswer: -193000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68803 is divided by 217.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18.5, -1\/4, -1\/8, -36?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 2*o)*(-1 + 0 + 3) + o - 2*o + 4*o + 5 - 2*o - 5 + 6*o - 6*o + 11*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16068 a factor of 5323041807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 - -98. Let h = -22 + 27. What is the second biggest value in 0.5, -1\/5, a, h?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 6, n: 6, a: 3, l: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -10. Suppose 4*o - 2 = a. What is the closest to 1 in 4, o, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*t - 881 + 516 = 482 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*h + 407, 20 + 228 = 3*h - 5*d. Calculate the highest common factor of h and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 44*m**2 + 19*m + 2651. Let d(v) = -7*v**2 - 3*v - 442. What is 25*d(n) + 4*h(n)?\nAnswer: n**2 + n - 446","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 9*v**2\/2 + 27*v\/2 - 15.\nAnswer: -3*(v - 1)*(v + 2)*(2*v - 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 86, 148, 214, 284, 358, 436?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0160114211 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 8:42 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/5 of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 636 + -3c9?\nAnswer: 24b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2 + 1172*l - 5810 = 0. Calculate l.\nAnswer: 5, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110880433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 15, n: 3}. Give prob of sequence nqn.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, z: 3, m: 2, s: 7, a: 4}. Give prob of picking 2 a.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/(-30))\/((-4)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 166. What is the highest common factor of k and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -70859175029 and -28?\nAnswer: 70859175001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 545 and 7957?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.64964 times 0.2\nAnswer: -0.129928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - t**2 - 24 - 2*t**3 + 5*t**4 + 3*t**2 + 2*t to the form k*t**4 + b + n*t**3 + q*t + r*t**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 68205 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 4:34 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/9)\/((-2)\/(-6)). Suppose 2*b = -x*b. Is 8\/11 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - 7\/((-7)\/2). Put 1, j, -9 in ascending order.\nAnswer: -9, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2822.7478 rounded to the nearest 100?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -2*l - 104. Calculate the highest common divisor of 78 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 563981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1578428 by 647.\nAnswer: 1578428\/647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of -q**4\/12 - q**3\/6 - 13*q**2. Let u be g(2). Sort -16, 1, u.\nAnswer: -16, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -6823.\nAnswer: -6819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -10\/17 (b) 1 (c) -0.4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -1. Let o = -142 + 157. Let g = o - 11. Which is the closest to g? (a) 0.1 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n**2 + 4*n + 98. Let s(r) = 50*r**2 + 11*r + 293. Let i(x) = 4*s(x) - 11*w(x). What is the first derivative of i(z) wrt z?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 32*r**2 + 141*r + 34. What is i(36)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 15*q - 20. Let r be 154\/(-11) + 0\/2. Let y be v(r). Let u(f) = -3*f + 25. Let h(i) = -4*i + 37. Let s(t) = -5*h(t) + 7*u(t). Determine s(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 28 = -5*h + 4*r, 5*h + r - 24 = 0. Sort 1, 0, h in decreasing order.\nAnswer: h, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 5*y - 22 = 0, -723*y + 4 = 2*k - 721*y for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 18813393?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -5*k, 22 - 6 + 14 = 5*k - a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -10, 0.5, 0.11, -20?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 - 16*o + 102. Let m(l) = l**2 + l - 1. Let d(g) = -5*m(g) + s(g). Is d(17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4667 > 4669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 - 7*a + 1. What are the prime factors of y(5)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (6 + -1 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 1, a: 1, u: 1, v: 3}. What is prob of sequence auvd?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2 - 2 - 2*w**2 - 3*w - 6 - 4*w**2. Let g(y) = 2*y**2 + y + 2. What is 17*g(d) + 6*u(d)?\nAnswer: -2*d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (62*h - 23*h - 15*h)*(2*h + h - 4*h) in the form v*h + w + u*h**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 50.68\nAnswer: -253.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**6\/300 + 3*t**5\/50 - 9*t**4\/20 + 9*t**3\/5 + 35*t**2. Suppose u(y) = 0. What is y?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(84)*-2)\/(5*sqrt(100)))\/(-5*sqrt(216)\/sqrt(8)*2).\nAnswer: 4*sqrt(7)\/375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.2 or -0.4304?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4130 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4411122 (base 5) to base 7.\nAnswer: 433645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 3527*a**3 - 2*a - 3527*a**3 + 2*a**4 to the form h*a**3 + u*a**2 + w*a**4 + r*a + n and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 400, 810, 1226, 1648, 2076?\nAnswer: 2510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (-1 + 12 - (36 + -24 + 1)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532972*x**3 + 16904*x + 2?\nAnswer: 3197832*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.648752037 rounded to 2 dps?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -107*u + 9 + 106*u + 7. Let h be q(10). Let b be 9\/h*(-20)\/(-6). Solve 0 = -b*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(136)*-3 + sqrt(136))*-2 - sqrt(136) - sqrt(136))\/(sqrt(64)\/(sqrt(8)*3 + sqrt(8))))**2.\nAnswer: 27200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*(-2 + sqrt(19) + 0 + sqrt(19))*-3*-5)**2.\nAnswer: -17100*sqrt(19) + 162925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 645288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-378)\/78 + 0 + 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 67.3 + -83.3. What is the second biggest value in -2\/15, 4, o, 2.2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = 6, 4*y = 5*u + 26. Let t be (-3)\/(-1) - y - 3. Let v be 4*-2*(-3)\/(-30). What is the closest to 2 in t, v, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*z**3 - 288*z**2 - 62*z + 2086823 with respect to z.\nAnswer: 18*z**2 - 576*z - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6933 - -6931. Let t = 3 + -6. Which is the third smallest value? (a) o (b) -9\/2 (c) -0.1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 456 and 1872.\nAnswer: 35568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4932 not equal to -4934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 9 + 1 = 0. Suppose -4 = -n*w + 8. Solve -w*m + 9 - 3 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.5, -0.6, -0.09 in decreasing order.\nAnswer: 5, 0.5, -0.09, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13591 = -x + 13597. Factor 0 - 15\/2*y**3 - 12*y**2 - 3\/2*y**4 - x*y.\nAnswer: -3*y*(y + 1)*(y + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -2 + -5 + 4*(0 + 2*sqrt(637) + -1 + sqrt(637) + sqrt(637) + 1)**2.\nAnswer: 40766","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181 + -147. Let a = v + -36. Let l(p) = -p**3 - 9*p**2 - 8*p + 1. Let f be l(-8). Which is greater: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -1, 1, -85, -22 in descending order.\nAnswer: 87, 1, -1, -22, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f + 3. Let g be x(-5). Let u be 125\/10 - g\/(-4). Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((10\/750*-5)\/((-108)\/135)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 111 + -1. Let k = r + -34. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 77*w**5\/60 + 41*w**4\/24 + 9025*w**3\/6 + 17*w**2 - 10. Differentiate v(b) with respect to b.\nAnswer: 154*b + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 2:15 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2153894, -2153862, -2153832, -2153804, -2153778, -2153754, -2153732?\nAnswer: -2153712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2\/5, 2\/3, 5, 7.37 in descending order.\nAnswer: 7.37, 5, 2\/3, 2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1 - 13 = 0. Let u(z) = -z**3 - 52*z**2 - 21*z - 1131. Let o be u(-52). Sort o, n, -4 in ascending order.\nAnswer: o, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/2*-1 + (29 - 23). Solve r - 2*l + 6 = 0, 11*r + v*l = 10*r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/10 of a gram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 23. Let m = -121 + 116. Let j = 35.3 + -34.8. What is the third biggest value in j, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1313 + -0.1314522. What is c rounded to six dps?\nAnswer: -0.000152","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from xqzqrnqxxnzqqqmqq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 225\/(-600) - (-35)\/8. Let k(t) = -6*t - 5. Give k(l).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 5*k**5\/4 - k**3\/3 + k**2\/2 + 8*k. Let l be b(1). What is the greatest common factor of 12 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-5 - -2) + 4 + -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + 2*b + 1. Let y be r(-2). Suppose 2*h - 4*f - 79 = 7, 2*h + y*f - 41 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 + 2*h. Suppose 0 = -6*k + 3*k. Let f be k + 12 - (-2)\/(-1). Suppose 3*j + f = m, 8*m - 3*m - 12 = -4*j. Determine n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(5\/6)*x)**(-10)*(x*x*x\/(x**(2\/13)\/x*x))**(-44) assuming x is positive.\nAnswer: x**(-5599\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 20*h. Determine x(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-75)*-5 - (-60)\/25. Suppose 3*f = -2*t + t + 9, t - 17 = -5*f. Find the first derivative of 92*y - 92*y + f - 16*y**3 - x wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -702 divided by 9?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5264, -20477, -45618, -80675, -125636, -180489, -245222?\n\"Answer: 2*y**3 - 4976*y**2 - 299*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 39 = 5*t - 49, 4*j = -2*t - 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(21)*3)\/(sqrt(7) - sqrt(875)\/sqrt(5)).\nAnswer: 9*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((56\/(-21))\/(-1))\/(-1*(-2)\/6)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 + (-21)\/2)*84\/(-48)*2.\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2. Let w(l) = 482*l - 14. Calculate w(u(k)).\nAnswer: 482*k**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52899.\nAnswer: 3, 7, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010011 (base 2) in base 6?\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ir when two letters picked without replacement from {i: 3, a: 4, r: 1, x: 10}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*c - 29, -2*c + 2*h = -2*h - 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 66048305 to the power of 1\/3, to the nearest integer?\nAnswer: 404","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (97 - 84 - (0 + -1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 4*w - 4*m, 57*w + 515 = 2*w - 5*m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1443 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*i - 18*i - 105 - 111. Let t(g) = 42*g**2. Let k(u) = 21*u**2. Give i*t(j) + 7*k(j).\nAnswer: 21*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and 14.\nAnswer: -588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h**0*h)\/h)**(1\/51)*h**15\/(h\/(h*h\/(h**(-4\/9)\/h)*h*h)*h))**(-16) assuming h is positive.\nAnswer: h**(-45200\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-80)\/3 + 2\/((-12)\/2). Let k = b + 32. Suppose f - 25 = -4*r, -4*f + k*r + 0*r = -58. Solve i + j - 4*j = f, -5*i = -5*j - 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1909 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(125) - 1*(sqrt(125) - 2*sqrt(125)))*4)**2 - ((1 + sqrt(125) + sqrt(125) + 0)**2 - (1 + sqrt(125) + 2))) + 4)*2.\nAnswer: -30*sqrt(5) + 15012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4*w**4 + w**3 + 2*w**2 + 17*w - 14. Let c(t) = 3*t**4 + 2*t**2 + 16*t - 13. Let a(l) = -5*c(l) + 4*g(l). Find k, given that a(k) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f\/(f**(-5\/4)*f))\/(f**(-12))**(-2\/7) assuming f is positive.\nAnswer: f**(-5\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69 - 5)\/(2 - (2 + -2)). Let b = 43 + n. Let h(t) = t**2 - t - 15. Let k be h(b). Round k to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30590223\/164*(-4)\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2))**(-38) assuming u is positive.\nAnswer: u**76","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**5\/30 - d**4\/12 + d**3\/6 - 2*d**2. Give f(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 3*i**2 - 5*i - 8. Calculate n(-5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -463112533 - -3?\nAnswer: -463112530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((0 - 20) + 79 + -66)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 80 times -1.3\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 555?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20*(-5)\/(-20)*-1. Let a = 81 + -82. What is the nearest to a in f, 0, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/11)*v)\/(v*v**(1\/2)))\/(v**1*v**(-11\/3)) assuming v is positive.\nAnswer: v**(221\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1328.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7 and -36286584?\nAnswer: 36286577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 2*f, -9 = -x + 5*f. Suppose -2*t - x = -t. Let d = t + 16. Do -18 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a - 52. Let n(d) = -5*d - 2. Let t(f) = 6*f + 2. Let r(p) = -4*n(p) - 3*t(p). Let x(i) = 2*g(i) - 6*r(i). Differentiate x(z) wrt z.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -191760, -383635, -575602, -767661, -959812, -1152055?\n\"Answer: -46*r**2 - 191737*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*d**3 + 193 - 193 - d**3 - 2 + 2 + (0*d**3 + 0*d**3 + d**3)*(3 - 5 + 1) - d**2 - d**3 + d**2.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6300 equal to 6300?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 1870.\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a milligram in micrograms?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -16.\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 25*s - 16. Give w(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abbba. Give prob of picking 2 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 10*b = -8. Let g = b + -2. Let s(u) = -u**3 - 2*u**2 + 4*u + 3. Let r be s(g). What is the greatest common factor of 76 and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 51 = 29. Is 4 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((-3)\/(-18))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 30*b**4 - 23*b**3 - 174*b**2 = 0. What is b?\nAnswer: -2, 0, 3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 + -4)*(-1 + -2 + 2). Let h be (v - (-6)\/2)*(-6)\/(-8). Solve 6*a = h*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14993266*t**3 + 15262543.\nAnswer: 44979798*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*l = -10*x + 91, 0 = 2*x - 5*l - 25. Let a(n) = 2*n**2 - 8*n + 7. Let r be a(5). Let i = x - r. Solve -d - i = -7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2317, -7782, -16901, -29674?\n\"Answer: -1827*j**2 + 16*j - 506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -15*y**4 + 965*y**3 + 2645*y**2 + 2335*y + 670 = 0.\nAnswer: -1, -2\/3, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.272 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*y = 0. Differentiate -2 + 1 + 2*m + y + 0*m wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 + 122 = f. Let w(i) = 5*i**2 - 2. Let a(d) = 135*d**2 - 55. Let u(h) = f*w(h) + 2*a(h). Let g(b) = 3*b**2. What is u(g(k))?\nAnswer: -45*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17281, 17300, 17319, 17338?\n\"Answer: 19*o + 17262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2446520674.\nAnswer: 2, 13, 19, 173, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*h = 276*h + 3648. Let g be 1080\/h - 35\/28. Sort g, 3\/8, -0.3.\nAnswer: -0.3, 3\/8, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -135 - (57 - (32 + -40 + 43))?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let b(q) = -2*q + 2. Let h be b(o). Let r(n) = n**3 - 53*n**2 + 239*n + 53. Let v be r(48). Sort 2, h, v in increasing order.\nAnswer: h, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hdhc when four letters picked without replacement from cbqhqqqhhhdclqcq.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-23)))**(1\/18) assuming z is positive.\nAnswer: z**(23\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-174)\/(-9)*1*6*22\/(-88).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -1011010000?\nAnswer: 1011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28883 to the power of 1\/2, to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 145b1 (base 15) to base 13\nAnswer: 23a10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -123, -191, -259, -327, -395?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7123.94l in millilitres?\nAnswer: 7123940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 + 119*r + 163*r + 371*r + 0 in the form x*r + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2695)\/(-770)*-87*12\/63\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:10 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/4736 and -25\/2072.\nAnswer: 33152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -853 by -17.\nAnswer: 853\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (3 - 8) - (-3 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/10 + 7 + -12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1310584 and 1210?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-2277054)\/(-377) + -2*5\/(-145) and 11.\nAnswer: 66440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 115834728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01606 rounded to three decimal places?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1 + 2*y + 3 + 0. Let f(d) = 46*d**3 - 1 - 45*d**3 + 0*d**3 - 3*d. Calculate 2*f(k) + 3*r(k).\nAnswer: 2*k**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3742, -7193, -10644, -14095, -17546?\nAnswer: -20997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2409198 and 0.6?\nAnswer: 1445518.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {y: 2, t: 4, p: 3, x: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 12*j**2 + 21*j + 24. Calculate s(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -25*h**3\/6 + 9*h**2\/2 - 2*h. Let k(g) = 3 - 1 + 12*g - 6. Let y(v) = -4*a(v) - 9*k(v). Let j(l) = 2*l. Determine y(j(b)).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -19201 less than -1770?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 - d + 494. Let g(c) = 4*c**2 - c + 490. Determine -6*g(v) + 5*k(v).\nAnswer: v**2 + v - 470","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 15937627.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*z**2 + 18*z**2 - 7*z - 30*z**2 wrt z?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419970 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/21*(1\/3 - 160\/(-6)). Let i = 43 + -46. Which is the biggest value? (a) l (b) 3\/2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(4 - -3)\/(-70)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35 + -33 - -12) + (-1 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 22*f**2\/7 - 68*f\/7 - 48\/7.\nAnswer: -2*(f + 1)*(f + 4)*(f + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e5 - 1409e8?\nAnswer: -140903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -24*i**3 - 2*i**2 - 2*i - 1. Suppose 2*d = 3 - 5. Is o(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, -2, 2\/175?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -41\/2 (b) 3.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*h - 74*h = -297 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49063 + 49267.09. Let n = -203 + g. Let p = n + -0.09. What is the smallest value in -5, -4, p?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210304131 (base 5) to base 12.\nAnswer: -35b08b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/(-6*1\/(-3)). Suppose u*p = 2*p - 664. What are the prime factors of (-3)\/(-12) + p\/(-8)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 16*i**2 + i - 13. Let o be r(16). Differentiate 136 - 5*p**3 + 8*p**o - 149 wrt p.\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4112 - -151322?\nAnswer: 155434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*w - 71*w = 1845. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004973285 rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 5*a - 725. Suppose k + 0*k + 1 = 0, 5*k = m - a. Calculate the remainder when m is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 2*n - 35 = -141, 5*n - 5 = 0. Let r be (32\/(-18))\/(((-18)\/d)\/1). Factor 4\/9*c**2 + r*c + 4.\nAnswer: 4*(c + 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29379?\nAnswer: 3, 7, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2660777 (base 11) in base 15?\nAnswer: -60c670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(-2 + (sqrt(192) + 1*sqrt(192))**2 + -3 + (sqrt(192) - (4*(sqrt(192) + 0)**2 - sqrt(192))) + 4).\nAnswer: -4 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -272156, -272153, -272150, -272147, -272144?\n\"Answer: 3*u - 272159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 2*u)*(-8 + 8 + u**3) + (-u**4 + 3*u**4 + 6*u**4)*(-152 + 80 + 96).\nAnswer: 190*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*z**2 + 74*z**2 - 1 - 3*z**3 - 7*z**4 + 6*z**4 in the form g*z + a*z**4 + d + l*z**2 + x*z**3 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -4194\nAnswer: 1\/1398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15939.41081 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -16. Let v = -8 - q. Let o(y) = -6*y - 1. Let j(x) = 5*x + 2. Let r(w) = -7*j(w) - 6*o(w). Let f(u) = 2*u - 17. Calculate v*r(m) - 6*f(m).\nAnswer: m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millisecond in microseconds?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 + 848 = 6*d. Is d a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-6)*14\/14.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10657042, 10657041, 10657038, 10657033?\nAnswer: 10657026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50190763*x**3 - 4*x**2 + 12*x + 74318.\nAnswer: 301144578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/4 - 3077*p\/4 - 1539\/2.\nAnswer: (p - 3078)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 7*h + 47. Calculate x(12).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 10*f**2 - 7*f - 12. Let k be s(9). Suppose -k = -2*p - 2. Let m be ((-2)\/(-5))\/(2\/10). Solve 2 = -2*x - m*c, x = 4*x + p*c + 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 7:29 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48.09, 2\/11, 696 in increasing order.\nAnswer: -48.09, 2\/11, 696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 - 194*d**2 + 101*d + 150. Let v be l(-49). Solve -120 = f + 4*i - 103, 0 = -4*f - v*i - 29 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121447\/18 + 6753. What is the common denominator of p and (-1)\/(-4) + (-36)\/10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-14) - ((-117299)\/(-49))\/(-13) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) -0.3 (b) -3\/2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, g: 3, p: 4, n: 6}. What is prob of picking 2 n?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 11*z**2. Let j(g) = -48*g**2. Calculate o(j(t)).\nAnswer: 25344*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65 - -39. Let d be (-82)\/j - (-2)\/(-13). What is the common denominator of ((-18)\/(-8))\/d*1414\/252 and 67\/15?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c - 18 = 16. Solve -3\/5*d**c + 6\/5 - 3\/5*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5984842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*p + 7*p + 15. What is the greatest common divisor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 85*m - 24 + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 79409\/4 - 19852. What is the nearest to a in 1\/12, 4\/3, -2\/13, -2\/7?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p - 177. Let n(w) = 11*w + 41. Let o(f) = -7*f - 27. Let s(t) = 5*n(t) + 8*o(t). Let q(z) = 2*m(z) - 33*s(z). What is q(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 5*y - 3. Let v(l) = -2*l**2 + 10*l + 5. Let z(i) = 5*f(i) + 3*v(i). Calculate z(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159134 is divided by 3125?\nAnswer: 2884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -85906973, -171813930, -257720869, -343627784, -429534669, -515441518?\n\"Answer: t**3 + 3*t**2 - 85906973*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*c + 4 = 0, 5*q = q + 3*c - 6. Solve -6*o + q = 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1109338?\nAnswer: 2, 554669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 4. Let m be k(0). Let t(g) = -g**3 + 4*g**2 - 3*g - 5. What is t(m)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -542*n**2 - 13550*n - 1. Give i(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 470\/(-15)*12\/(-4). Let p = 179 + c. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1512463308 or 1512463307?\nAnswer: 1512463307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/11 + 30*q**2\/11 + 104*q\/11 + 72\/11.\nAnswer: -2*(q - 18)*(q + 1)*(q + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-42) - (-2)\/(-14)) + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.52554 kilograms in nanograms?\nAnswer: 6525540000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23254 or 7185925\/309?\nAnswer: 23254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 9*s**2 - 10*s + 8. Let f be z(10). Let b(h) = 0*h + 3*h - h - h**2 - f - 11*h. What is b(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121 (base 3) to base 2\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 938060224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 18\/45 + (-22)\/5. Let t be 9\/(j - -1) + 0. Let x(m) = m**3 + 4*m**2 - 3. Give x(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9814032 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -454831.\nAnswer: -2274155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 71*m**2 - 68*m - 793. What is the units digit of f(-19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33, -71, -109?\n\"Answer: -38*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -12 + (-90 - -62)\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:30 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33 + -2 - (2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p. Let r be l(-4). Let n = 17 + r. Find the second derivative of -2*u**4 + 2*u**4 + u + 10*u + 11*u**n wrt u.\nAnswer: 220*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*r**5 + 32*r**2 - 32*r**2)*(3 + 4 - 6).\nAnswer: 11*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (9\/6)\/((-3)\/(-24)*-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 9*u**2 - 35*u - 22. What is s(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 826*x - 54279. Calculate t(-754).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 765 + -6405. What are the prime factors of (1\/(-3))\/(c\/(-1881) - 3)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 + 22*f + 14. Give w(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 845 or 844?\nAnswer: 844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -7*a**2 + 6*a + 3. Let j(m) be the third derivative of -2*m**5\/15 + m**4\/4 + 2*m**3\/3 + 3983*m**2. Calculate -3*j(h) + 4*w(h).\nAnswer: -4*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114945447*p - 1620 = 114945528*p for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1208 - 1148. Solve 0 = -15*n - 0 + d for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a minute in seconds?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/210)\/9*(14 + (-1092)\/63).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, -2, -1\/2 in decreasing order.\nAnswer: 2\/23, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -575285 + 543.\nAnswer: -574742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 9*x**2 - 2. Let b be t(9). Does 14 divide (3 + b)\/(5\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**5\/3 - 134*d**4 + 3899954*d**3\/3 - 1855400278*d**2\/3 - 1299984*d + 1855400680\/3 = 0. What is d?\nAnswer: -1685, -1, 1, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = -0. Let f be 3\/(-6) - (-55)\/b. What is the units digit of (2 + -3)\/(2\/f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 633094 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**4 - 133248*j**3\/5 + 985116*j**2\/5 - 1171328*j\/5 + 63888 = 0. What is j?\nAnswer: 2\/5, 1, 6, 6655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -5, 5 in ascending order.\nAnswer: -38, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*q = -37654 + 37181 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 150, 232, 320, 414, 514?\nAnswer: 620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7137 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 5*v**6\/6 + 18*v**5 + 75*v**4 + 280*v**3\/3 + 416. Let f(x) = 0. What is x?\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2234 is divided by 1097.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3399398 to the power of 1\/2, to the nearest integer?\nAnswer: 1844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/139 or -10731\/5?\nAnswer: -10731\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 176 + -15. Let c = -160.8 + l. Let w be 5*(-12)\/10*-1. What is the third smallest value in 2, c, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -14*b - 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 10:30 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -16. Suppose c*r - 48 = -2*r. Suppose -v + 2*v - r = 0. Solve -2*w + 3*b - v = 0, 5*w = -0*b + b - 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = -x + 5*x. What is the least common multiple of (-19 + (-656)\/(-32))\/((-6)\/(-8)) and x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, c: 2, n: 2, k: 4, j: 1, u: 1}. Give prob of sequence yc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 52141.396 to the nearest ten.\nAnswer: 52140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/5*(-15)\/(-6). Solve 6 = -0*i + j*i, 2*s + 2*i = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.427259 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*g - 319*g - 261*g = 595*g + 50106 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + -0.1. Let w(z) = z + 8. Let p be w(-9). Let r be -2 - ((-28)\/(-10))\/p. What is the nearest to -1 in 4, g, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j**2 - j)*(6*j - 3*j - j)*(5*j - 6*j + 2*j).\nAnswer: -2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4194417.\nAnswer: 3, 1398139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, g: 1, a: 5}. Give prob of sequence hhag.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 77*m**4\/4 + m**3\/3 + 2*m**2 - 2*m + 165. Let c be w(1). What is the highest common factor of 60 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 12:12 AM?\nAnswer: 10:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y - 3. Let u be v(8). Suppose u*k + 16 = 25*k. Suppose 3*m - 3 = -3*c, m + 14 = k*c - 0*m. Solve -j = q, 2*j - 16 = 3*q - c*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 807819 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 3\/7, -4, -1.05?\nAnswer: -1.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7c + 17?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*i - 126 = -69*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 566 and 480817?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**6 - 426*l**4 + 173*l**2 wrt l.\nAnswer: -120*l**3 - 10224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015496 to 4 dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 48*i + 16)*(2 + 2 - 3)*(4*i + 9*i + 3*i) in the form m + n*i**2 + x*i and give n.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 67, -5, 6?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1136423?\nAnswer: 29, 149, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 (base 8) in base 4?\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = k - 14. Suppose -5*b - 2*z = 3*z - k, 4*b - 36 = z. Suppose u - b = 4. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/25 and -69\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = j. Let v = 5 - j. Let w = 13 - v. Solve -w*a - 4*x = 0, 6*a - a + 3*x = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-612)\/(-8)*(4\/3)\/2. What is the common denominator of o\/(-68)*-85*2\/(-201) and -69\/8?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 15*t + 4. Let k(g) = 7*g + 2. Let x(s) = 13*k(s) - 6*z(s). Let v be x(-7). Sort -1, v, 0 in decreasing order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 1 = -3*b + 2, 5*b + 2*i - 2 = 0. Let r be (-136)\/1292 - (3 - 546\/133). Sort b, r, -4 in decreasing order.\nAnswer: r, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -10 (c) 0.09 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s + 13 = -12. Let n(b) = -8*b**2 + 5*b - 3. Let x(k) = -k**2 + k. Give s*n(y) + 5*x(y).\nAnswer: 3*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 681308.\nAnswer: -3\/170327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61563000 rounded to the nearest 1000000?\nAnswer: 62000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1\/8)*z)**(-4\/17) assuming z is positive.\nAnswer: z**(-23\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-442)\/39)\/((-58)\/174)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -490 + 527. Is 6 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 21*d**3 + 28*d + 28. Let v(l) be the third derivative of l**6\/120 + l**4\/24 + l**3\/6 + 2*l**2 + 67. Give -n(t) + 28*v(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1448828999?\nAnswer: 11261, 128659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 5*x = 3, -5*t + 2*x = 4*x - 273 + 288 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 122 + -120. Which is the fourth smallest value? (a) -0.5 (b) -3\/5 (c) -4\/9 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71340.821 rounded to the nearest one hundred?\nAnswer: -71300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*j = 12. Suppose w - 3*w + n + 12 = 0, n = -w. Suppose 4*i + 2*b = 26, -w*i + 42 = -i - 3*b. Calculate the highest common factor of j and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -0.3, -3\/2, 231, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25.332 and 0.4.\nAnswer: 10.1328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5118 + -5120. Put 21, 3, 2, z, 5 in decreasing order.\nAnswer: 21, 5, 3, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 3)\/((-4)\/2). Let c(a) = -a + 16. Let z be c(y). Calculate the greatest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 22945*f + 321246. What is g(-14)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a - 8. Let i be f(6). Let n be -3*i*4\/(-6). Let x = -11 + n. Sort 3, 4, x in decreasing order.\nAnswer: 4, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -77? (a) -1 (b) 9\/20 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 5*q + 10 = 10*h, -4*q - 8 = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -106 - -117. What is the smallest common multiple of (-6)\/4*-4*2 and q?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 11) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39283\/2 - 57549701\/2930. Find the common denominator of -21\/293 and f.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amj when three letters picked without replacement from {j: 1, m: 1, a: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -144 + 220. Suppose -68*b = -t*b + 8464. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z - 2. What is g(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 - 239. Let q = u + 97.035. What is q rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u + 38. Let l(t) = 3*t - 13. Let a(x) = -7*l(x) - 2*o(x). Let h be a(11). Is (3\/2)\/(h + 39\/(-10)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 2, z: 1, b: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(147) + 1*sqrt(147)*-5 + -2 + sqrt(147)*-1)*6)**2.\nAnswer: 7140*sqrt(3) + 132589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 186094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**4 + 2 - 2)*(45 - 78080*w - 51850*w - 24 + 9414*w - 21).\nAnswer: 120516*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + f = 5, -5*q - 28*f + 31*f = 7. What is the closest to -1\/3 in q, 2\/95, -2\/7, 5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388074\/1415 >= 1687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 - 0.4. Let v = 0.5 - p. Let s = v + -3. Which is the nearest to s? (a) 3 (b) 2\/11 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 281 = -4*t + 5*q, -2*q = -5*t + 2*q - 358. Let l = -70 - t. Let c be -4 - 1\/(l\/96). Are -2 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-72)\/2 + 2)\/(6\/(-9)). Let 94*r**2 + t*r**2 + 236*r**4 - 16*r**5 + 31*r**2 - 24*r - 386*r**3 - 26*r**5 = 0. Calculate r.\nAnswer: 0, 2\/7, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*s + 539*s - 5082 = -106*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3 = -0*q. Suppose 5 = -5*m - q*x, 28 = -2*m - 5*x + 7. Let g = 0 + m. Solve -g*l - 3*f + 20 = 0, -4*l + f - 8 = -20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 104*g**2 + 256*g - 6144.\nAnswer: 4*(g - 6)*(g + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8517501 is divided by 121675.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 j when four letters picked without replacement from {s: 3, j: 12}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 0.3, 5, 8565, 1\/7, 3\/8 in descending order.\nAnswer: 8565, 5, 3\/8, 0.3, 1\/7, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10b8 - 2029?\nAnswer: -3114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 395085*z + 140070 wrt z?\nAnswer: 395085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 56 - 19. Is y a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*1 + sqrt(133))\/(1*sqrt(175)).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from xkkkkkksxssksk.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of -u**6\/120 - 17*u**5\/80 - 35*u**4\/16 - 275*u**3\/24 - 125*u**2\/4 + 111*u. Solve v(g) = 0 for g.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 8*b**2 + 6*b - 26. Determine s(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/15 + (-236)\/(-6). Suppose -2*v = -0*v - p. Let r = v - 14. What is the smallest common multiple of r and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 - 4*s + 4. Let o(q) = -2*q + 48. Let y be o(22). Let v be g(y). Suppose 10*m = -v*m + 1764. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2074, 2158, 2242, 2326, 2410, 2494?\n\"Answer: 84*v + 1990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 9*t - 1695. Let g be (-190)\/57*(-3)\/2. Suppose 5*d = -g*v + t, 545 = 5*d - 3*v + 4*v. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 7. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x - 3. Let u be z(-3). Suppose -2*o - d + 54 = u, d + d + 4 = 0. Let g = o + -27. Is g <= -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7332203.\nAnswer: 7332203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 442 is divided by 434.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -7\/4397 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*a - 2*a + 3*a)*(-1069*a - 2658*a - 2590*a + 29*a + 1452*a) in the form t*a + y + i*a**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1776)\/(-185) - -15)*(-20)\/6?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**4 - 2*v**4 + v**4 + (-52 + 160 - 56)*(-v**4 - v**3 + v**3 + 2*v**3).\nAnswer: -54*v**4 + 104*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1638180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 4*b**2 + 2*b + 1. Let k be r(2). Suppose 4*x + 3 + k = 0. Calculate the common denominator of -119\/6 and ((-9)\/(-12))\/(x\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o - o + o + 3*o as x + w*o and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -29, -0.4 in increasing order.\nAnswer: -29, -0.4, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 132945279 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1438\/69 + 556\/23. Factor 8\/3 - 16\/3*t - 2\/3*t**3 + g*t**2.\nAnswer: -2*(t - 2)**2*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -3456.119.\nAnswer: 1382.4476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291943203.\nAnswer: 3, 29, 3355669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8016 is divided by 7662?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161.33 + 0.33. Let x = 167 + r. Let q = -0.9 - -4.9. Sort x, -0.1, q.\nAnswer: -0.1, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**3 + v**3 - 839 + 839.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 838, 1905, 2940, 3943, 4914, 5853?\nAnswer: 6760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 998057 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 1\/2)*4. Let r(k) = k**3 + 2*k**2 - 2*k - 3. Let j be r(t). Is 4 + -4 + j*257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66791 is divided by 3121.\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 30163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l - l + 3*l)*(74814*l**2 - 74814*l**2 - 1971*l**3) - l**3 + l**3 - 2*l**4 in the form c*l**4 + m*l**3 + t*l**2 + q*l + d and give c.\nAnswer: 3940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 4*k**2 + 3*k + 3. Let l = 4 + -7. Let a be 4 + 1 + 0 + 1. Let f = a + l. Calculate y(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1.4, 12\/131, -15?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/436, 2\/11, -3, -22, 0.1, -2.\nAnswer: -22, -3, -2, 9\/436, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 (base 14) in base 7?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 668?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*y + 6 - 0, -3*y = -5*q - 9. Suppose -5*l = -5*s + 120, 3*s + 4*l = -0*s + 86. Suppose -4*g + s + 42 = q. Is g a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/14 + (-1224)\/(-119). Solve 5*h = 2*w + 3*w + y, 3*w + 6 = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a day in minutes?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*n**3 + 3236*n**2 + 3232*n = 0. Calculate n.\nAnswer: -808, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 divided by -246650?\nAnswer: -109\/246650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 421931257 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 8298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -31*n + 4. Let z = 16 + -21. Is b(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2 - (-17 - (-280)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 630*u**3 - 61554*u**2 wrt u?\nAnswer: 3780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -722614 by -31418.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3024 and 1974?\nAnswer: 142128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n + x, n - 9 = -0*n + 2*x. Let y = -34 + 19. Let k be (18\/y)\/(4\/10). Put n, -1, k in ascending order.\nAnswer: k, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5)*-4) + sqrt(30)\/sqrt(384).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -679 = -4*i - 5*n, 0 = -4*i + 5*n + 300 + 389. Suppose 0*r - i = -3*r + 5*x, 0 = -5*r + 4*x + 285. Suppose 0 = 3*d - 60 - r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -23.999928. What is q rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(175)*1.\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/45)*1. Suppose 0 = -4*j, -5 = 5*n + 3*j - b. Is 12\/2*n*1 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + (-1830)\/(-135))\/(-2 - (-88)\/24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*3\/(-21) + (6 - 4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*o - 3163 = 0, 5*c - 5*o = 3816 - 656. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 10*a**2 + 12*a - 11. Let c be p(11). Suppose 4 = 2*u - c*u. Suppose u*o = -b - 13, -o = 3*b + 2 + 17. Sort o, 1, -2.\nAnswer: o, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2672668847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of -4*w**6\/15 + w**4\/2 - 2*w. What is the third derivative of h(a) wrt a?\nAnswer: -192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458167933 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -19*r**2 + 71*r. What is the remainder when 206 is divided by j(1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 16 + 89. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1647174?\nAnswer: 2, 3, 274529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270989332.\nAnswer: 2, 37, 1831009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422246229?\nAnswer: 3, 7507, 18749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0147 - -53.5147. Let v = f - 53.9. Which is the third smallest value? (a) -95 (b) -4 (c) -1 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287993549747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -8*d - 40. Let m = 106 - 96. Solve l + d = -m*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i + 3*w = 32*i + 5, 0 = 3*i + 40*w + 34 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130*b*i**3*w**2 - 21*b*i**3 + 74*b*i**2*w**2 - 5*b*i**2 + 113*b*i - 58*i**3*w - 2*i**2*w wrt i.\nAnswer: -780*b*w**2 - 126*b - 348*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/3 (b) 0.5 (c) 18 (d) -1\/8 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u = 1951*u + 15752 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*k**2 - 89*k**2 + 186*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -22\/45, 0, -0.3, 3\/7 in increasing order.\nAnswer: -22\/45, -0.3, 0, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*a - 7*a. Suppose -a*t = 4 - 16. Suppose -4*b - 26 = -v + 3, 129 = t*v - 3*b. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of -13 - 8*d + d**2 + 1\/4*d**4 - 7\/3*d**3. Let c(l) = 2*l - 5. Let r be c(6). What is s(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20254467)\/207)\/((-2)\/5*(-15)\/(-18)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 134\/8 + (11 - 6) + 6\/24. Solve 68*y + q = 79*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.3 - 0. Let d = k + -14.7. Let n = d + 14. Which is the biggest value? (a) -0.4 (b) n (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 27*k**2 - 686*k - 9. Give s(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2919 - 1472. Do l and -1\/4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735 a factor of 2341989258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 246846?\nAnswer: 2468.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 243*n - 689. What are the prime factors of o(14)?\nAnswer: 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020800 and 725.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 4:48 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w + 4. Let t be o(6). Let c = t - 10. What is the remainder when 35 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 + 294*v**4 - 8614*v**3 - 132990*v**2 = 0.\nAnswer: -11, 0, 65, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/48*45\/10. Which is the nearest to -15? (a) -2 (b) q (c) 12 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -11, 18, -3, 1, -33.\nAnswer: -33, -11, -3, 1, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10999, -11009, -11033, -11077, -11147, -11249, -11389, -11573?\n\"Answer: -i**3 - i**2 - 10997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -27165519 divided by -9055173?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.016 + 1.984. Which is the second smallest value? (a) 4 (b) 5 (c) -2\/7 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*h + 15*h + 3*h**2 - 6*h - 1 to the form k*h + b + y*h**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 9*n = 285. Let h = 108 - n. Suppose -10*w = -h - 19. Let b(y) = -y**2 + 5*y + 9. Determine b(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -13424\/81, -7?\nAnswer: -13424\/81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 8*o**2 + 23*o - 212. Calculate w(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, k: 1, o: 4, f: 1, x: 1}. What is prob of sequence foo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**3\/3 - 5*i**2\/2 + 3*i - 5. Give p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 22 - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 350, -5223, -14514, -27523, -44250?\nAnswer: -64695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41661, 1\/15, 32 in decreasing order.\nAnswer: 32, 1\/15, -41661","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -372 + 374. Solve j + a - p*a = -2, -5*j = -4*a + 5 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*v + 24, 3*v = -v - 2*u - 22. Let k(o) = o**2 - o - 4. Give k(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 38*b - 9. Let q be n(0). Let v(h) = 5*h + 26. Calculate v(q).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j = -26*j - 20. Suppose 4 = -2*f + 4*o - 10, 4*f = 2*o - j. Solve -20 = 3*b - 5*h, 2*h - f = b + 7 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 238, -3, -588, -1691, -3486, -6147, -9848?\n\"Answer: -29*j**3 + 2*j**2 - 44*j + 309","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3201081, 3201080, 3201079, 3201078?\n\"Answer: -k + 3201082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -327 + 327 + c**2 - c**2 + 172046*c**3.\nAnswer: 172046*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, 5, 0, 0.2?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d + 2. Let z be r(1). Let y(j) = -j**3 - 6*j**2 - 5*j + 3. Let g be y(-5). Solve 8 = -3*q - 2*l - 17, g*q - z = 5*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Suppose u + 2 = 2*y, 4*u - 2*u = -5*y - 13. Let j be -4 - -1 - y - -2. Is j < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1075, 2344, 3759, 5320?\n\"Answer: 73*f**2 + 1050*f - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**5\/240 - n**4\/96 + 2*n**2 - 4. Let t(w) be the second derivative of a(w). Let t(o) = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9786 = -2*p, 0 = 2*u + 3*p - 3886 - 17. What are the prime factors of 4 - (-1)\/(4\/u)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 11) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -x**4 + 1501*x**3 - 37*x wrt x?\nAnswer: -12*x**2 + 9006*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 289697170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110 - -24. Let k = p - -88. Suppose -k*h - 86 + 260 = 0. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 27*k**2 - 28*k - 7. Determine j(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -9*o**4\/8 + o**3 + 1. Find x such that q(x) = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g + 16*g - 68*g + 15*g + 5*g + 44*g + 10*g.\nAnswer: 29*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + -1 + sqrt(468) - ((sqrt(468)*2 - sqrt(468)) + sqrt(468) + -5))*-2)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-528)\/(-16))\/(6\/7694) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 7*o = 23, -5*b = 77*o - 72*o + 15 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 14817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/528*37584\/(-81).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 185638*u\/5 + 3344724.\nAnswer: -2*(u - 92909)*(u + 90)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j + 27. Let p = -5 - j. Suppose 15 = p*y - y. 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: Let o(j) = -7*j - 59. Give o(-12).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erccecc. Give prob of sequence cee.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 7*n + 51 + 58 - 143.\nAnswer: 7*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let w be (b - 7\/2)*-2. Let j = 10 + -12. Sort w, -5, j in decreasing order.\nAnswer: w, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 6:28 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 4*l - 39 + 16, -v + 1 = -l. Suppose 2*u - 4 = -v*s + 2, 12 = 4*u - 2*s. Suppose -u*i - 617 = -j, 4*i + i = 3*j - 1843. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = -0. Let d(l) = 12*l + 48. Let w(n) = 21*n + 78. Let o(i) = 5*d(i) - 3*w(i). Let m(j) = -4*j + 7. Calculate k*m(v) + 5*o(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135927141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7940*p**2 - 2968*p**2 - 3260*p**2.\nAnswer: 1712*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2322638*m**3 + 3099*m**2 + 377*m + 1 wrt m.\nAnswer: 13935828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832 rounded to the nearest 100?\nAnswer: -1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112670 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + -7 + 4 + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10535126 (base 7) to base 9.\nAnswer: -1646255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 18604201.5us?\nAnswer: 0.00021532640625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (46 - 41) + 1 + -11 - -11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2))\/((3\/30)\/(332\/2490))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*z - 448*z - 159*z as x*z + l and give x.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 2*h**2 + 8*h + 2. Calculate the lowest common multiple of 11 and d(0).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5638, -24358, -55550, -99214, -155350?\nAnswer: -223958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((-404)\/22220)\/((-1)\/5)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88 + -73 + -7 + 1 - 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l, -y + l - 11 = 0. Let h be (-2)\/y + 854\/22. Suppose 2*o + 2*o = 4*a - 12, 0 = -5*a - 3*o + h. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2800) + 1 + sqrt(2800) + sqrt(2800).\nAnswer: 1 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397295586.\nAnswer: 2, 3, 19, 1161683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3 + 607262261*c + 266826947?\nAnswer: -3*c**2 + 607262261","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/7, 1\/28, 0.07 in ascending order.\nAnswer: -10\/7, 1\/28, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from ddldddddddddd.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4 + 17\/2. Let v(j) = 16*j**3 - 23*j**2 - 22*j - 1. Let d(c) = 7*c**3 - 11*c**2 - 8*c. Let x(t) = 7*d(t) - 3*v(t). What is the units digit of x(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6819 - -13295. List the prime factors of (-210)\/(-84)*q\/(-10)*-1.\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -43251*g + 8390698. Calculate o(194).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 5:27 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*b = 0. Suppose m - 5*m + 3*p + 52 = b, -2*m + 5*p + 40 = 0. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27*1.94\nAnswer: -52.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -59841171915?\nAnswer: -59841171920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 1 - 2) + -2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/2 + (-2705)\/(-10). Suppose -3*k - 3*h + 162 = 0, n = 5*k - 6*h + 2*h. Calculate the greatest common divisor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + ((-7)\/10)\/(8484\/(-10100)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g + 12. Let d be t(-4). Differentiate 17 + 1474*v**4 + 103 - 1579*v**d with respect to v.\nAnswer: -420*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -5*p - 2*p**2 - 1 - 1 + 3. Let n be 5 - (18\/(-6) - -12). Determine c(n).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 2 + -29 + -7 + -84 + -2 - -13.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8864892?\nAnswer: 2, 3, 246247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4db (base 15) to base 4.\nAnswer: -101102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -277279*d*o**3 - 12*d*o**2 - d*o + d + 20*o**2 wrt o.\nAnswer: -1663674*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 11 = -h. What is the third derivative of h*s**2 - 17*s**2 + 0*s**3 + 9*s**3 wrt s?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36230574 to the nearest integer?\nAnswer: 6019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -41300 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 283*f - 1 - 251*f + 1 to the form o*f + k and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22 - 0) + (123 - 164 - -28) + 18.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*3)\/(sqrt(27)\/(sqrt(54)\/sqrt(6))).\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*j + 4*j - 4*j)*(-3 + 4 - 3) - 2*j - 2 + 2 + (j - 9*j + j - j + 0*j + 2*j + (j - 2*j - j)*(2 - 1 - 2))*(4 - 2 - 1) as r + b*j and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 618 and 66950?\nAnswer: 200850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5626 divided by -2.\nAnswer: -2813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*x. Let n(s) = s**2 + 7*s + 6. Let q be n(-6). Which is the closest to q? (a) 2\/9 (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5*l = 2*w, 0 = w - 3*l. Suppose 0 = m + 4*o + 14, -m - 2*o + 4*o + 16 = w. Let k be (6\/m)\/(-2 + 1). Let j(h) = -15*h**3 + 2*h + 1. What is j(k)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14026201?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*q - 709, -4*v + 1779 = -5*q - 11. Let d = q - -376. Solve -4*t = -2*k - d, 6*t - 13 = k + t for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3581, -3582, -3583, -3584, -3585?\nAnswer: -3586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4370 - -48?\nAnswer: 4428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62061 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.08, 0.3, -3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) 4 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*o + 32*o + 38*o + 19*o**2.\nAnswer: 19*o**2 + 58*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 134818125 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*u**3 - 10*h**3*u**2 + 17*h**3*u - 2*h**3 + h**2*u**2 + 7*h*u**3 - 38531*u**3 + 2 wrt u.\nAnswer: 18*h**3 + 42*h - 231186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -264 + 275. What is the second biggest value in -4, -0.3, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b + 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*r + 484 - 115, -w + 3*r + 136 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73024\/57 greater than or equal to -1281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 275\/(-66) - (-1)\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/42?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 1669 + 6*x + 1679 - 3330. Calculate b(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 120*s**2 - 6*s + 8. Give g(1).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 696, 2433, 5320, 9351, 14520, 20821, 28248?\nAnswer: 36795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8344199 and 551.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(192) + -5)*-1.\nAnswer: 5 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*o**5 + 15*o**4 - o + 395 wrt o?\nAnswer: 1840*o**3 + 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, k: 3, p: 2}. Give prob of sequence kp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*4\/32 - 414\/8. Let b = 54 + i. Let s(y) = 8*y**2 + 6. List the prime factors of s(b).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**3\/3 - 28*r**2 + 24*r + 160\/3.\nAnswer: 4*(r - 20)*(r - 2)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 2:16 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65406680 is divided by 106.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 854.45*2621\nAnswer: 2239513.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together 282749 and 199065746.\nAnswer: 199348495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59 - f7?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*l = 182167, -72*l = -s - 76*l + 36429. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16\/9 + -107\/45. Is z < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1027799 equal to -1027808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 22*g + 19. Let p be r(-21). Let n be p\/(-7) + (-105)\/882. Put -2\/3, 3\/4, -5, n in increasing order.\nAnswer: -5, -2\/3, n, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)\/sqrt(72))\/(sqrt(6)\/sqrt(3)*5))**2.\nAnswer: 19\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*-1*((-3 - -2) + 2). Let a be 1\/(-3) + (-20)\/30. Let f be 3 + (-2)\/1*a. Solve -f*b + 10 = -n*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - l + 4*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.84*0.2.\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 55.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i - 6. Let c be p(4). Suppose -2*r = -c*x - 8, -5*r = 7*x - 10*x - 22. Suppose 24 = 5*g - 4*j - 123, 134 = 4*g + r*j. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 58. Does 65 divide d(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 273\/395 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 2. Suppose -9 = -3*y, 0*u - 5*u = d*y - 55. Suppose u*h - 3*h = 395. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -42326, -84562, -126738, -168860, -210934, -252966, -294962, -336928?\n\"Answer: -a**3 + 36*a**2 - 42337*a - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -156.3 - -157. Which is smaller: 2\/11 or x?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((sqrt(3) - -2*(sqrt(3)*-1 - sqrt(3))) + sqrt(9)\/sqrt(3) + 0)**2 + (0 + sqrt(243) - (0 + 1 + sqrt(3) + sqrt(3)))).\nAnswer: 22 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogiddglggiadggo. What is prob of sequence old?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 115 and 383548.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 21*m - 60. What is x(0)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -73\/11 - -1555\/231. Let z be 21\/(-49) - (-1)\/35. Which is the biggest value? (a) 1 (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6154, 26529, 60498, 108067, 169242, 244029, 332434?\nAnswer: 434463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 933 = 957 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3261437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -8, -34, -80, -152?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/5 + 5258*j**2 + 85614736*j\/5 - 5143195672\/5.\nAnswer: 2*(j - 59)*(j + 6602)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 22 + 10 - (3 - 9).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3) - 99\/(-27). Let c be j*6*(-8)\/(-16). Let w = c + 27. What is the highest common factor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 686 = o - 12*l + 17*l, -l - 1372 = -2*o. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -4, -1, 3053.\nAnswer: -17, -4, -1, 3053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4203 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: What is the units digit of 12144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 123208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyhyxuvuxvxa. Give prob of sequence xx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4191822 to the power of 1\/2, to the nearest integer?\nAnswer: 2047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427*b + 1292 = -1471 + 628 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19078 + 38159\/2. Let c = 18\/11 - 79\/55. Sort i, 4, c.\nAnswer: c, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2555 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -w + 41 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5 = -1. Let d be (f\/(-6))\/((-28)\/126). Is 21 a factor of 0 - (-26*4 + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 6*m = -4. Solve 5*v + 2*r = -13, -m*v + 5*r + 22 - 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 176 + 36 = 0. Let j = 0 - g. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g - 12. Let a be 4\/g*(5 - 8). What is the third derivative of -c**6 + 8*c**a - 4*c**2 - 3*c**2 wrt c?\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0*q*q)**(-1\/10)\/(q*q\/(q\/((q*q**(-7)*q)\/q))*q**5)*(q*(((q*q**1*q)\/q)\/q)\/q*q*q)**14\/(q*q**(-2\/7))**(-2\/93) assuming q is positive.\nAnswer: q**(136109\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 121676682 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z + 13. Let p be b(-8). Solve 5*k + 2*v = 4*v - 15, 0 = -4*k - p*v + 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*k*o**3*x**3 + 109955*k*o**3 - 9*o**3*x**3 + 5901*o**3 wrt k?\nAnswer: 2*o**3*x**3 + 109955*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Calculate the least common multiple of a and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(317 - 110*g - 317) + 0*g - g + 0*g.\nAnswer: -221*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/12 (b) 35 (c) 3\/8 (d) -431 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 99 - 97 = 0. Let n = m - 43. Is (-12)\/4*-10*211\/n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2069068 by -93.\nAnswer: 2069068\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -24. What is the remainder when g is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - q)*(q + 4*q + 2*q) + 45*q**2 - 16*q**2 - 21*q**2 - 2*q**2 + 9*q**2 + 2*q**2.\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 313, 600, 881, 1150, 1401, 1628?\n\"Answer: -l**3 + 3*l**2 + 285*l + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*4980.\nAnswer: -194220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (((-18280)\/(-60))\/(-2))\/(1\/(-27))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 2*g = -28, 609*y - 11*g = -46*g + 30*g - 674 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Let h(l) = l**2 + 2*l - 1. Let k be h(i). Factor 0*q + 1\/3*q**k - 1\/3.\nAnswer: (q - 1)*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 11:44 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -19. Suppose 2*u = m + p, -m - 3 = -5. What is the third derivative of -y**2 + 3*y**u - y**2 - 2*y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 383, 36, -4\/3, -1\/5, 1\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2\/13 (c) -11 (d) -4\/7 (e) 5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 76, 89, 106, 127?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/3)\/(2\/(-6)). Let a(h) = 2*h + 3. Let f(x) = 3*x + 5. Let z(w) = d*f(w) - 8*a(w). Let i be z(-5). What is the highest common factor of 3 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6554 and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 3 = -7. Suppose -3*g = -4*n - 14, -g - m*n - 26 = -4. List the prime factors of 2\/g + (13 - 7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217705167.038433 + -217705280. Let t = -0.185433 + f. Let v = t + 113. What is v rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45393*z - 27 = 2*p - 45392*z, -3*z + 27 = -3*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5359910332 to the nearest integer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*r + 33*r - 2*r**2 - 73*r.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 7:00 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 354 = 1871 - 989 for g.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 463, 7, -51, -3, 6 in ascending order.\nAnswer: -51, -3, 6, 7, 463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 8, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one sixth of a hour?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x**3 - 56 - 243*x**3 + 9*x**2 - 8*x**2.\nAnswer: -201*x**3 + x**2 - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*k + 3*o, 3*k - 9*o + 10*o - 11 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1288*k**2 - 74 - 640*k**2 - 649*k**2 + 130 + 96.\nAnswer: -k**2 + 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bcxfhhjbhhbhbjfbh?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (34 + (4 - 1) + -7)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - (5 - 10)) - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5884*q + 5883*q - 2*l - 6 = 0, l - 7 = -8*q + 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 - -93. Let k = -312 + 311. What is the second biggest value in k, -10, w, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6716 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 3*j + 3*g = -1, 0 = 2*j - 4*g + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 50*w + 44. What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*z - 2. Let b be (-1)\/4 - (-9)\/4. What is the units digit of 21\/9 - b\/z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 2. Let r be -4*((-39)\/12 - -2). Which is the closest to -2\/7? (a) x (b) r (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 + 1558*k**2 + 44*k - 15*k - 14*k - 14*k - 4 in the form s*k**2 + w + m*k and give s.\nAnswer: 1558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 17. Is j not equal to 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.092 + -219.0916\nAnswer: -218.9996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1241 = 226*d - 1467 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*z - 5*z + 18 - 17*z.\nAnswer: -29*z + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + -1. Let m(s) = s + 7. Let g be m(l). Suppose 7*y - 9 = g*y, -2*f = -2*y + 12. Which is the smallest value? (a) f (b) -5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 1, z: 1}. What is prob of sequence vh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -3, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*b = 452, -2*a - 2*b = -7*b - 161. Suppose 0 = -0*j - 4*j - 5*f + 518, 4*j - 526 = -f. Calculate the greatest common divisor of j and a.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 14 = 10*u, 54535 = 3*y - u. What is the ten thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f**2 - 5*f - 2. Let u(z) = 4*z**2 - 6*z - 4. What is 2*u(y) - 3*w(y)?\nAnswer: -7*y**2 + 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1056 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 10110000111101001100 (base 2) to base 6\nAnswer: 23311340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + 8\/20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0 (b) -1 (c) 2\/3 (d) -224661 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -0*k. Suppose 34 + 30 = k*l. Let g = 569 + -393. What is the highest common divisor of l and g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5004731 + -3?\nAnswer: 5004726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-18))\/(-2)*78\/104.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 70.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**5\/60 - 7*q**4\/24 + q**3\/2 - 2*q**2. Let a be s(9). Solve -22 = 4*d - 2*n, 0 = 5*d + n + 3*n + a for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16.4 + -17.4. Let u = -2 + 4. What is the biggest value in u, 4, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18148048*-0.4.\nAnswer: 7259219.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Let o = 2 - h. Suppose k = 3*m + 20, -o*k + 3*m + 3 = -28. Solve -4 - k = -2*g - 3*p, 5*g = -p + 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w - 2. Let c be h(-1). Let j = 3 + c. Calculate the smallest common multiple of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1685\/201 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 201*s. Let d(b) = -13*b**2 - 5*b - 10. Let o(m) = -32*m**2 - 12*m - 24. Let a(c) = 12*d(c) - 5*o(c). Determine a(u(z)).\nAnswer: 161604*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3.13 (b) -2\/3 (c) 1 (d) -0.06 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -86750, -347168, -781240, -1388966?\n\"Answer: -86827*j**2 + 63*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/6029 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 678a5a + 3?\nAnswer: 678a62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 359*x - 1062. Calculate z(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 631 divide 1373687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -9*v**3 - 19*v**2 + 7*v - 3. Let a(l) = 5*l**3 + 9*l**2 - 4*l + 2. Determine 7*a(h) + 4*i(h).\nAnswer: -h**3 - 13*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99077 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 h, and 2 n when four letters picked without replacement from {t: 2, h: 1, k: 4, v: 1, n: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 39248519 to the power of 1\/4, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 2:17 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (52\/2)\/(-2)*12\/(384\/(-32))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3781630*q + 8. Calculate k(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2624794 is divided by 114117.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 15*b - 17. Is y(12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211011113 (base 4) to base 7.\nAnswer: -1201562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 62 and 2790.\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -176, -137, -62, 61, 244, 499?\nAnswer: 838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-363)\/242*102\/(-10863)\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 + 110*a**3 + 19*a**2 + 2 wrt a.\nAnswer: -24*a + 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 3 + 3. Let a(n) = -6*n - 11. Let y(g) = -g - 2. Let l(s) = 4*a(s) - 22*y(s). Calculate v(l(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*m + 3 + 0 = 0, -4*m - 3 = -5*h. Suppose h*a + 0 = -12. Let p be (-9)\/(-2)*a\/6. Is p smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38535 = 3483*a + 11986 - 4962 - 198367 for a.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 61793*x - 1174064. What is h(19)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.7248 litres in millilitres?\nAnswer: 864724.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(99) + sqrt(99) - sqrt(99))\/(sqrt(90)\/sqrt(10)*-5).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 - 6*k**2 + 7*k - 5. Let i be d(5). Suppose 4*m + 11 = -i. Let j be ((-1)\/m)\/((-3)\/6). Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 26 = -m, 3*h - 79 + 298 = 4*m. Calculate the highest common factor of 17 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193467415 less than -193467416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamama. What is prob of picking 2 a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q**2 + 12*q + 10. Let g(y) = -2*y**2 - 3*y - 2. Let x(t) = -18*g(t) - 4*r(t). Let v(c) = c - 1. Calculate -4*v(s) + x(s).\nAnswer: 4*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-6)\/135*12\/(-4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77770 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 133*u**2 - 153*u**3 - 62*u**2 + 261*u**3 - 114*u**3 - 71*u**2.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134192295.\nAnswer: 3, 5, 331339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 + -10. Let i be x - -7*(0 - -7). What is the tens digit of (i\/(-6))\/(4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by (84\/(-36))\/((-1)\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -y**6\/30 + 1326*y**5\/5 + 885*y**3\/2 + 324*y + 8. What is the second derivative of l(d) wrt d?\nAnswer: -12*d**2 + 31824*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m - 2*m)*((1 - 1 + 7)*(m + m + 0*m) + 0*m + 3*m - 5*m + m + m - m + (-4 + 3 - 1)*(0 + 0 + 2*m)).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -770, -836, -946, -1100?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -407362 + 975711. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h - 7. Let b be m(-3). Let q(j) be the second derivative of -2\/21*j**3 + 0 - b*j + 1\/42*j**4 + 1\/7*j**2. Factor q(d).\nAnswer: 2*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 + 22) - (-90 - -85).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/66 and -82\/33.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29822 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2269237 = 5*x - b, -2*x + b + 1015734 = 108038. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64163882 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y\/y**28))*y**(-26)*y*y)\/(y**(-24)\/(y\/(y\/y**(-31)))))**(-2\/19) assuming y is positive.\nAnswer: y**(116\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -18566225?\nAnswer: -18566223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*p + b + 1639559, -5*p - 4*b = 2049446. What is p rounded to the nearest 1000?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-13)\/(-52) + (-30)\/56. What is the nearest to 0 in 2, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 62.1433.\nAnswer: 18.64299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 1. What is the smallest common multiple of i and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 0*t - 8 - 2*t + 6*t + 5*t**2.\nAnswer: 4*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqbqbqwqbwbbqb. What is prob of picking 2 b and 1 q?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1012?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 4:14 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 - 42*m. Let y(g) = 5*g. Determine h(y(l)).\nAnswer: -25*l**2 - 210*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 2:09 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7014 = -20*o + 7726. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -5\/2, -64, 53, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q - 40. Let u be d(6). Calculate the highest common factor of 21 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25662 (base 9) to base 11.\nAnswer: 12006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 81, 137, 215, 315, 437, 581?\nAnswer: 747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/25 of a micrometer?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 5*y + 2*i, -3216*y = -3221*y + 2*i + 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1330 + 364. Let t = 2617 + i. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 119 and 63665.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.2 or -26\/59?\nAnswer: -26\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-12) - (-2)\/(-56)*18?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 0.4, 2, 27, -40\/7, -3.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 24*n**2. Suppose 105 + 103 = 8*m. Let a(j) = 46*j - 19*j - m*j. Give q(a(u)).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*h + 17*h - 18*h + (-54 - 10*h + 54)*(3 - 2 - 2) - 4*h + 2*h + 0*h.\nAnswer: 38*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j + 7. Suppose -42 = 3*m + 3*m. Let x(u) = u**2 + 8*u + 2. Let f be x(m). Give a(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 + 0.09. Let r = 0.05 + d. Let x = 2\/29 + 13\/232. Which is the closest to -0.1? (a) x (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018225136 rounded to 7 dps?\nAnswer: -0.0001823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 4:43 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 38*z**2. Let n(y) = -3 + 3 + 164*y**2 - 163*y**2. Give m(n(o)).\nAnswer: 38*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-2 + 30\/9)*(37638\/756 + -50))?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -6*y**2 + 4. Let n(i) = 516*i**2 - 38*i. Determine n(c(h)).\nAnswer: 18576*h**4 - 24540*h**2 + 8104","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -173905 and -0.01.\nAnswer: 1739.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4727 + -3?\nAnswer: -4730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2997.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14297042 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-483)\/(-9) + (-12)\/(-9). What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3517b36 - -6?\nAnswer: 3517b40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 + 102 = 5*x. Suppose 3*u = -5*i + 101, -2*u + x = -3*i - 43. Let y(a) = 170*a + 33494. Calculate the remainder when u is divided by y(-197).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -9*s**2 + 4*s + 6. Let w(h) = -h - 736*h**2 - 1 - 723*h**2 + 1460*h**2. Give -i(m) - 5*w(m).\nAnswer: 4*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s = 23*s. Suppose s = -5*a + b + 2009, -5*a = -5*b + 3*b - 2008. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t - 10. Let g = 16 - 5. Let o be f(g). Let z = 65 + o. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1974*l - 1950*l = -336 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(196)\/sqrt(4))\/sqrt(7) + sqrt(7)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 53, 113, 197, 305, 437?\n\"Answer: 12*n**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3408 and 410096?\nAnswer: 1230288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 385\/(-350) + (-2)\/(-4). Sort -2, r, -0.2 in descending order.\nAnswer: -0.2, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, y: 11, n: 5}. What is prob of sequence nz?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -187883182*r**3 + 480564980 wrt r.\nAnswer: -563649546*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110)*2*-4 - sqrt(110))\/sqrt(10) - sqrt(55)\/(sqrt(1980)\/sqrt(11)))**2*3*1.\nAnswer: 33275\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -2\/21, 26\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r**2 - 48*r - 355. What is the ten thousands digit of l(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35.4 - -33. Let o = 2.3984 + z. What is o rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 = x + 3*b, -4*x = -3*x - 2*b + 638. Let g be (-1)\/3 - (-1)\/3 - 4. List the prime factors of -7 - x\/21 - g\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1223396*g**6 + 883258*g**2 wrt g.\nAnswer: 146807520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 9:55 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 6. Let m be b(-6). Suppose r - 2 + 5 = m. Are r and 2\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -21. Let j = -7 + l. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + 0. Suppose 17 = 5*v + q - 0, q = -4*v + 13. What is the derivative of 4*z**x - 2*z**4 - 1 + 0*z**v - 2 wrt z?\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v + 430 - 239 + 2*v**2 - 226 wrt v?\nAnswer: 4*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 + -34. Let y = 7 - u. Let v = 11 + y. Which is the third biggest value? (a) -3 (b) 1\/10 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 352 + 0?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63342 - 63341.46061. Round m to 3 dps.\nAnswer: 0.539","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04967 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21494903.5 + 86.\nAnswer: 21494989.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5243 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 4\/325025389?\nAnswer: 4\/325025389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*u = 158*u - 2*a + 14, 3*u - 4*a + 8 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 55605473, 222421887, 500449243, 889687541, 1390136781, 2001796963, 2724668087?\n\"Answer: 55605471*s**2 + s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1*(-3 + 1 + -1) and 0 - 2 - 39\/(-3)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rfffrrfffffsrfsfsrsr. What is prob of picking 1 f, 1 r, and 1 s?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 165480193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -3, 4, -7 in decreasing order.\nAnswer: 5, 4, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + i**2 + 2*i + 4. Let u be s(-2). Let x = -3 + u. Let l be (4 - 15\/x) + (-6)\/3. What is the nearest to l in 2\/11, -1, 9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1285, 1242, 1189, 1120, 1029, 910?\n\"Answer: -o**3 + o**2 - 39*o + 1324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + d + 1. Let i(n) = 8*n**3 - 11*n**2 - 2*n - 2. Suppose -5*r = -4*r - 1. Let a(q) = r*i(q) + 2*u(q). Find the third derivative of a(v) wrt v.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 + 64*i + 198. Let h be p(0). Let a = 7 + 11. What is the greatest common factor of h and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70844 + 48766. Is j smaller than -22079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p - 8. Let u be s(2). Let r(h) = -h**2 + h + 1208 - 1205 + u*h. Let z = 80 - 71. Determine r(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 - 49 = -3*g. Suppose -55 = -4*b - 5*u, -2*u - g = -5*b + 3*u. Solve 0 = 3*o + 5 + b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 74 - 26 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 644781, -1\/3?\nAnswer: 644781","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/84 - 4\/14. Solve l*g = -5*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 + 36 - 7) + 32 - (101 - -1)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = 0, -u + 8 = -6*q + 2*q. Let x be (u\/(-12))\/(1\/3). Let a = 5 - x. What is the remainder when a is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from tapdatappca?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 718 divide 1382150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 2*b - 678 = 16*n, 0 = -3*n - b + 687. Let f = 480 - n. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.61 - 5.706. What is w rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*m = 561*m - 117*m + 23302 for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -v**5\/4 + 115*v**4\/4 - 170*v**3\/3 + 102*v - 1. Determine k so that q(k) = 0.\nAnswer: 0, 1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + b)*(-3*b + 2*b + 2*b) + (-5*b**2 + 0 + 0)*(-672 - 495 + 459) to s*b + n*b**2 + h and give n.\nAnswer: 3541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 + 710*g**2 + 2*g + 15563 wrt g.\nAnswer: 6*g**2 + 1420*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -54450 divided by 18?\nAnswer: -3025","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -100001000010?\nAnswer: 100001000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/39*(-1365)\/210?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 198 = t. Let f(d) = -d. Let k(c) = 4*c + 1. Let n(x) = 6*f(x) + k(x). Let z be n(-5). What is the highest common factor of t and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.2, -4, 7, -5\/61 in increasing order.\nAnswer: -4, -2, -5\/61, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 17409+116\nAnswer: 17525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 2 (c) 30 (d) -1 (e) -4\/7 (f) -19\/4 (g) 0.039\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t - 19*t + 1 = 2*w, t + 4*w - 1 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -880, -358, 1554, 4850, 9524, 15570?\n\"Answer: -h**3 + 701*h**2 - 1574*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/13, 5, 75377?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 + 143. Suppose 8*r - 54 = f*r. Let n(y) = y + 4. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -9*f + 4*f. Suppose -2*i - 10 = -7*i. Suppose w - j - 42 = 151, i*j = 5*w - 980. Calculate the greatest common factor of f and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 + 1 + 3 + 0. Let a = m + 0. What is the remainder when a is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -826*h + 415*h = -413*h - 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -15. Find the common denominator of -69\/8 and 282\/(-90)*(-3)\/f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 4) in base 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/((-2058)\/(-342) + -6). What is the first derivative of -w + 9*n**2 + 8*n**2 - 8*n**2 - 2*n**4 wrt n?\nAnswer: -8*n**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l - 19. Let a be w(-11). Let y = -25 - a. Suppose -y*r + 43 = s, -4*s + s - 2*r + 155 = 0. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g + 0*g)*(-60 - 50 + 3) - 21*g - 6*g + 52*g.\nAnswer: -296*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04 at most as big as 171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - 1.825. Let g = f - -0.065. Which is the third smallest value? (a) 3 (b) 5 (c) g (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from {u: 3, r: 5, o: 1}.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -2 in ascending order.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24015665 less than 1513?\nAnswer: -24014152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.61 times 0.6\nAnswer: 0.966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 347, 3\/122, 2\/11 in descending order.\nAnswer: 347, 0.4, 2\/11, 3\/122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*w**4 + 9*w**3 + w**2 + 6*w - 14365776.\nAnswer: 296*w**3 + 27*w**2 + 2*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -9 - -6 - 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 346 + -330. Is -26882*(72\/r - 5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 604044*x - 64 + 20 - 604046*x - 40.\nAnswer: -2*x - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46801389757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 24*v**2 - 139*v + 168. Give y(-29).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2120 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2*(125\/10)\/(-5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -3\/79?\nAnswer: -3\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 56 + 59 = 0, 0 = -3*m - 4*j + 681885. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3816545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 + 39 + -17 - (-18 + 1)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4, 10, 16, 22?\n\"Answer: 6*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 4:51 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44127735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/9 - 908*c**2\/9 + 10234*c\/3 + 7228.\nAnswer: 2*(c - 417)*(c - 39)*(c + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 252.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.2 + -23. Let l = -10.2 + u. What is the second biggest value in 0.3, 3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(5) - 2*sqrt(5)) + 2.\nAnswer: -sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*q + 12, -5*q + 3*q = -5*l + 14. Which is the nearest to -2? (a) 4 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 209008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*n - 11. What is the second smallest value in -5, 0.1, -1\/4, n?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-492)\/(-10))\/(-12*5\/1500). Which is smaller: b or -1231?\nAnswer: -1231","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 813970, -31, -5 in ascending order.\nAnswer: -31, -5, 813970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-346)\/(-6) + 10\/30. Calculate the greatest common divisor of 2 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-18)\/8)\/(6\/16). Let a(r) = 8*r**2 - 7*r - 7. Let v(z) = -7*z**2 + 6*z + 6. Let p(h) = s*a(h) - 7*v(h). Let u(k) = -k. Give p(u(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/28*12\/10\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 162, 163?\n\"Answer: g + 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*m + 48981 = -58816, -w + 21553 = m. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 248 + -269. Which is greater: z or -149\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*d**2 - c**3*d - 19403*c**3 + c**2*d**2 + 265193*d**2 wrt c.\nAnswer: -12*d**2 - 6*d - 116418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 35*l**3 - 5*l**2.\nAnswer: -35*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -21203230 (base 5) to base 7\nAnswer: -1342412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-6\/5)*j)\/j*j**4)**12 assuming j is positive.\nAnswer: j**(228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5568 - -86?\nAnswer: 5665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllx when four letters picked without replacement from llllxxlllxll?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 9 = -2*x, -3*x = 3*y - 0*x - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2614\/5 - 55079\/105. Let d = -15085\/6 - -2495. Find the common denominator of j and d.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 4*m - 3*b = 1182, 0 = 4*b - 12. Let a = 498 - m. What are the prime factors of a?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -364 (base 8) in base 10?\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2.93.\nAnswer: -8.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2415 and 6601?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 - 9*n**2 - 7*n + 7. Let j be o(-8). Let k be (-3)\/(-3*j\/(-7)). Let v = k - 5. Solve -2*p - 4*w = 18, -w = -v*p + 2*w + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657087332 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Is 309059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/10 - 18*u**4\/5 + 35811*u**3\/5 + 395138*u**2\/5 + 2804379*u\/10 + 323712 = 0. Calculate u.\nAnswer: -281, -5, -3, 256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*j + 3*p, -5*j + 56 = -5*p + 11. Let m = -5 - -6. What is the smallest common multiple of m and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 836921083 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.077 + -0.023. Sort c, -5, -0.02.\nAnswer: -5, c, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 3*o - 3. Let g(t) = -10*t**2. Give g(u(s)).\nAnswer: -90*s**2 + 180*s - 90","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1060 - 671. Let x = 389 - r. Solve 3*v - 5 = 2*q - x, -5*v - 4*q + 23 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.724 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 24*o - 14. Let g(h) = -8*h + 5. Let b(d) = -17*g(d) - 6*z(d). Let a be b(-1). Calculate the highest common divisor of a and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2 + 51457*t + 154362 = 0.\nAnswer: -51454, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*c + 72*c + 6 - 6.\nAnswer: 269*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079 take away -805768?\nAnswer: 805768.079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -61608 = -61605?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00024624613 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 317*k*t**4 - 4*k - 1116*t**3 - t**2 - 62027 wrt t?\nAnswer: 1268*k*t**3 - 3348*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 24 = 21. Suppose 3*w - 184 - 955 = -2*l, t*l = -w + 2841. What is l rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prdp. What is prob of picking 1 r and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2891 = -3*x + 2878, -4*w + 104 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9))\/((-15)\/((-123840)\/(-512))).\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u - 2. Let c be x(-15). Solve -5*h - 7 - c = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6135583\/81 + -75747. What is the common denominator of 11\/45 and z?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*d - 119002 = 0, -147741 = 5*m + 3*d - 28738. What is m rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (1 - (-1 + -5)) - (3 + 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 j when four letters picked without replacement from jjjgjjgjjjj.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -88. Let i be (-2 - (-62)\/o)*-2. Let g be 3\/10*10\/(-4). Which is the nearest to -0.2? (a) g (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1400\/220*(-2)\/4 - (-24)\/132.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1be (base 16) to base 5.\nAnswer: 3241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*r + 120 - 142 + 62 with respect to r.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 4*p. Let z(s) be the second derivative of 4*s**4\/3 - 35*s**3\/3 - 5*s - 19. Let r(o) = 36*n(o) - 2*z(o). Find y, given that r(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6039 or 3115?\nAnswer: 3115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70345 = -10*f - 70525 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-2)*-62*130\/324415?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-2\/5)*t*t)**(-2\/7)*(t**(-2))**(1\/6))**(-1\/9) assuming t is positive.\nAnswer: t**(113\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -26 - (8 - (1 + 6) - 6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i + 7 + 103 = 0. Is (1362\/(-9) + i)\/(1\/(-39)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -37*x**2 + 110*x + 1. Let o be m(3). Sort 2, -169\/3, -3, o in increasing order.\nAnswer: -169\/3, -3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i**5\/7 + 310*i**4\/7 - 2616*i**3\/7 - 57240*i**2\/7 - 139968*i\/7 = 0?\nAnswer: -162, -8, -3, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2.829 (b) 0.05 (c) 0.5 (d) -31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 17 = 4*m, 3 + 0 = 5*s - 2*m. Let z = -1.221 + 5.221. Which is the biggest value? (a) -1\/4 (b) z (c) s (d) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/4 (b) -5 (c) -1\/9 (d) 117 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n**3 - 2*n**2 - 2*n - 11. Let b = -2 - -2. Suppose 2*x - 5*s - 19 + 2 = 0, b = -4*x - 5*s + 19. Is c(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 45. Let f(a) = -9. Let y(v) = 2*b(v) + 11*f(v). Calculate the remainder when 115 is divided by y(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -40842*p**2. Let s(n) = 18*n. Give s(b(a)).\nAnswer: -735156*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3383830\/107 or -31626?\nAnswer: -3383830\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5.183892 milliseconds?\nAnswer: 0.00000143997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1535 + -1537. Which is the biggest value? (a) u (b) 22 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 770736 and 770733 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2398 >= 2399?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*s - 16 = -13*s. Let p = 3 - 8. What are the prime factors of s\/3 - (p - 152\/12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*t + 328, -t + 0*t + 505 = 3*x. Let c = x + -167. Solve c*p - 7*p = -25 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 247418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 1\/26, -6, 0.4, 7?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-36)\/(-10)*(15\/6 - 5). Let o(d) = -6*d + 0*d - 11 + 22*d + 3*d**2. Is o(z) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7431081 meters to micrometers.\nAnswer: 743108.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2 - 2)*(-2*z**3 + 4*z**2 - 4*z**2) - 1704*z + 1704*z - 67*z**5.\nAnswer: -71*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/18*24\/(-28)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -22*i - 17. Let c be p(-1). Suppose 2*j = -x + c*x - 4, 0 = 2*j + 4*x + 12. Let m = 6 + -31\/5. What is the nearest to m in 2\/7, 1, j?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d9be - 1?\nAnswer: 2d9bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030 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: What is the units digit of 47322810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 4. Let r be y(2). Suppose -22 = -5*g - 7. Suppose 0 = -i + g*i - 8. Solve r*s - 10 = 5*s + i*d, -14 = 2*s + 5*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -290, -883, -1780, -2987, -4510, -6355, -8528?\nAnswer: -11035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 112 - -9?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/34 and 6\/85.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, t: 7, m: 4}. Give prob of picking 1 i and 1 m.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-70))\/(116\/(-2030))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1525 is divided by 545.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 - 0 - (7 + 11 - 23)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 18. Let s = 7 - 6. Put s, b, 0 in ascending order.\nAnswer: 0, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 379441131+-11\nAnswer: 379441120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - f - 8. Let r = 865 + -869. What is y(r)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i**(-26)*i)*i)*i)\/i**19*(i\/(i**6\/i))**(-1\/3) assuming i is positive.\nAnswer: i**(-125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51951789?\nAnswer: 3, 29, 199049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 300\/(-55) + 6 - 6\/11. Suppose -51*o + 21*o + 2100 = b. Calculate the remainder when 247 is divided by o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -4*y + 372. Is y a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -3333?\nAnswer: -3344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 344237325 to the power of 1\/2, to the nearest integer?\nAnswer: 18554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4 - 15*u - 16*u - 13*u - 3 + 46*u. What is k(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 11 - 6*i - 13.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**4\/16 + w**3\/8 + 3*w**2\/4 + 58*w. Factor d(m).\nAnswer: -3*(m - 2)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from yvyvyiyyiviyiyygyi?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 956513382?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -209. Let t = v - -191. What is the smallest common multiple of t and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057755110 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 - 95. Let b(y) = 2*y**2 + 10*y + 17. Is b(j) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 14 + (-2 - (-9 - -21)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 372589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) 12 (c) 0.1 (d) 4\/7 (e) 129\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776259785?\nAnswer: 5, 7, 197, 112583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - k**2 - k**2)*(-10633*k - 2615*k + 28514*k) - 3*k + k**3 + 3*k.\nAnswer: -15265*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064319 to the power of 1\/2, to the nearest integer?\nAnswer: 2658","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75660*p + 75660*p - 146 + 517 + 2*p**2 to the form t*p**2 + c*p + q and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.01612 - -0.01612. Let r = 86\/117 + -8\/9. Which is the smallest value? (a) z (b) r (c) 121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -16*w + 81. Solve w = 2*i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-18))**(23\/3) assuming t is positive.\nAnswer: t**(-391\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 500, 656, 946, 1436, 2192, 3280, 4766, 6716?\n\"Answer: 11*o**3 + o**2 + 76*o + 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-746)\/4*(-11 - -13). Let f be w\/2 + (-4)\/(-8). Let n = 339 + f. Calculate the greatest common factor of n and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.903022 to two decimal places.\nAnswer: 19.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*(5 + (-162)\/30). Let x(s) = -4*s + 4*s + s**2 + 4 + 5*s. Let y be x(-4). Put f, 3, y, 5 in descending order.\nAnswer: 5, 3, f, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o + 11 = 0. What is the remainder when 140 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.6657 - -0.3657. What is the nearest to 1\/5 in -0.5, v, 10?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.28 less than -25.878066?\nAnswer: -64.158066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjqjjqjjjqjjp. What is prob of picking 1 q and 1 j?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(1 + -4)\/(-18). Let t be -4 + (1 - (1 + -3)). What is the closest to 0.2 in t, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 9*b - 372 = -2*b. Solve 0 = -b*r + 21 - 52 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 7515 = -2*n - 5*a, -4*a - 12 = 0. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101\/5 less than or equal to 1445?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 260847.0016 to the nearest 10.\nAnswer: 260850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2820*q + 2017*q + 1170*q + 757*q.\nAnswer: 6764*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + m = -251987, -672*m - 3 = -675*m. Is 109 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05919 to 3 dps.\nAnswer: 0.059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11055 and 150?\nAnswer: 110550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -168, -338, -508?\n\"Answer: -170*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 158*d**2 - d - d - 211*d**2 + d - 445*d**2.\nAnswer: -498*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 161*o**4 + o - 313?\nAnswer: 1932*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*b)*(-191*b + 97*b - 1244*b - 278*b + 4 - 275*b).\nAnswer: -3782*b**2 + 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of g**5\/30 + 7*g**3\/6 + 5*g. Let p(b) be the second derivative of x(b). Let a(h) = 3*h**2. Give p(a(d)).\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -172 + 187. Suppose 0 = 5*j + 232 - 847. Suppose 0 = -k - 5*u + 18, -4*k + j = -0*u + 3*u. What is the lowest common multiple of s and k?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138*m + 15*m**2 + 138*m - 6*m - 19*m**2 + 6*m + (2 - 2 - 1)*(-4*m + 4*m + 2*m**2) - 4*m**2 - 3*m**2 + 3*m**2)*(2*m - m - 3*m).\nAnswer: 20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 + 10 = 0. Let v be (-10)\/(w - 13324\/(-4440)). What is v rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c*p + 26*c*y**3 - 4*c - 10*p*t*y**3 + 9*p*t*y + 3*p*y**2 wrt y.\nAnswer: 156*c - 60*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3571, -10625, -17679?\nAnswer: -24733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -3*n + 7. Let r be l(-8). Let p = -179 + 182. Suppose -p = -q + r. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2778892 to the nearest integer?\nAnswer: 1667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 943?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -2 - y + 5\/2*y**2. Calculate the least common multiple of o(3) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -67. Suppose d - 5 = x, 2*d = d + 4*x + z. Solve 5*b + 3*q = -5, 0 = -3*b - 5*q + d - 25 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 - 3)*(-17 + 17 + 5*s**5).\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c**3 - 2*c**2 + c - 1. Let n be b(2). Suppose 2*w - 9 = -l, 1 = 5*l - 3*w - 5. Solve -4*g = -5*x + n, -g - 2*x - 6 = -l*x for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1710 divided by -855?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - (-159 - -103 - -178).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1880054 millennia to months.\nAnswer: 2256.0648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 591, 1227, 1861, 2493, 3123, 3751, 4377?\n\"Answer: -w**2 + 639*w - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2863?\nAnswer: 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3869838021?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 442.2894 millennia?\nAnswer: 442289.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - o - 3*o - 22, 0 = -o - 3. Let l be (-3)\/(-9) - (-5)\/3. Solve -2*v - 10 = -l*i - 6*v, k*v = 2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - r = -1, 4*r - 3 = u + 7*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017 + -22.761.\nAnswer: -22.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/43)\/(-3*1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28\/23 + 8\/23*o**3 + 130\/23*o + 74\/23*o**2.\nAnswer: 2*(o + 2)*(o + 7)*(4*o + 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffu when three letters picked without replacement from {f: 4, u: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -19. Let b = u - -16. Factor -2*z + z**b - z + 6 - 6*z**2 + 2*z**3.\nAnswer: 3*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*x = 6, 4 = f + 2*f + 5*x. Let c(l) = -67*l - 1. Is c(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o = 2*o + 2556. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -7*a + 1717 - 863 - 854. Determine r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 1 - 1)*(0*k + 0*k - k + (2 - 1 + 0)*(-2*k + 0 + 0)) to the form p + w*k and give w.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**5 + 29903*d**4 - 145397*d**3 + 154528*d**2 + 41988*d - 18000 = 0. Calculate d.\nAnswer: -1500, -2\/5, 1\/4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84045 is divided by 5832.\nAnswer: 2397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6. Suppose 10*d - 128 = 6*d. Suppose 2*q - 5 = -2*x + x, 4*x - 5*q + d = 0. Let k = x + 3. What is z(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1953556*z**3 + 0*z**2 + 0*z**2 + 651176*z**3 + 651192*z**3 + 651187*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264*t + 16855 + 7161 = 0 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 120 = 4*f. Let z(o) = -6*o**2 + 6*o + 22. Let b(l) = -5*l**2 + 7*l + 21. Let p(j) = 5*b(j) - 4*z(j). Let t be p(f). Solve 0 = t*h + 8 - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 2*r. Suppose u + u - 20 = r. Let i = u - 5. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - 7. Solve j = 3*d + 3*b - 1 - 2, 4*d - 1 = -5*b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 7*z - 24 = 3*f, 2*z + 7 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5052 - -444?\nAnswer: -4204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 7, 2, -31, -110?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -21561, -119, -4\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18971 - 20538. Which is smaller: 3\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**4\/48 + z**3\/24 - 2*z - 2. Let h(n) be the first derivative of r(n). Solve h(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -4 (c) -25\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3040*z**2 + 2814*z.\nAnswer: 6080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 9:55 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 12\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.3 (b) 2\/7 (c) 4 (d) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u - u)*(-14*u**2 - 65*u + 65*u) + (2*u - 4*u + u)*(2*u**2 + 5*u - 5*u) - 2*u**3 - 1 + 1.\nAnswer: 10*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2210212012112 (base 3) to base 6.\nAnswer: -52000405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u**5 + 2*u**2 - 11*u**3 + 11*u**3 + 3*u - u**5 - 3*u + (0 - 2 + 0)*(0*u**5 - 2*u**5 + 3*u**5) - 68*u**5 - 101*u**5 + 104*u**5 + 1093*u**5.\nAnswer: 1027*u**5 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.1 times 12.2553?\nAnswer: -1079.69193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s**3 - 26*s**2 - 64*s - 61. Determine t(-8).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-2 + ((-5)\/1)\/(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + (8 - (-8 - -10)) - 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396308?\nAnswer: 2, 11, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = 3 + 8. Let z be (-14)\/35*((-15)\/(-10) + j). Is -8\/101 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -3)*(-1)\/(-2). Let g = 5 + f. Let a(o) = 4*o + 1. Let j be a(-1). Sort -2, j, g in decreasing order.\nAnswer: g, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-23)*s\/s**(-1\/7))\/((s\/(s\/((s\/(s\/(s\/s**(-1\/3)*s)))\/s)))\/s**(-15)) assuming s is positive.\nAnswer: s**(-802\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/94?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 - 3891*p**2 + 979965*p - 69594957 = 0.\nAnswer: 153, 991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -31.47, 0, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = j - 2*g - 10, 23 = 5*j - g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, -0.42, -0.2, 2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*p + 7. Let i = p - -12. Suppose 15 = -5*y + 5*c, 3*c = -5*y + 7 + i. Solve 3*n = -2 - y, 0 = 2*k - n - 5 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a + 34*a = 0. Let c be 33\/9 - (-3)\/9. Solve -3*w + 9 = a, 2*t + 19 = c*w + w for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*p - 15300 = -811*p for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136402 or -1500421\/11?\nAnswer: -136402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/36083 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-40))\/((-2)\/(-20)). Suppose -76 + 10 = -11*q. Let i(d) = -3*d**3 - 3*d - 3. Let l(z) = 3*z**3 + 4*z + 4. What is j*l(t) + q*i(t)?\nAnswer: -3*t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9089878079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 102101 (base 4) in base 2?\nAnswer: 10010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from jflmmajlbamm.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 534\/(-672) + 4*(-12)\/(-56). Let p = -4.104 - -0.104. Which is the nearest to w? (a) -5 (b) -3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 49 in 2\/3, -0.1, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - -5.6. Let r = s + -7.000002. What is r rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -33?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(405) + 0.\nAnswer: 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 40741768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -756\/5 = -151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/8543 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -323*x**4\/4 - x**3 + 9*x**2 + 1024. Find the third derivative of d(c) wrt c.\nAnswer: -1938","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 times 1.6?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011457 to 5 dps.\nAnswer: -0.00115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(((-4370)\/(-414) + 60\/(-6))\/(25\/(-30)))?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3662 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/22 + ((-3662)\/374 - (43 + -53))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849*w - 2*k - 20 = 854*w, w - 5*k = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9452\/5 + 1891. Which is the fifth smallest value? (a) 0.08 (b) 2 (c) r (d) 5 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22652982483468\/2003957186735 + 23\/472352902. Let g = -7\/1697 - x. Calculate the common denominator of g and 472\/(-99) + 2\/9.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 20. Let s = 13 - q. Suppose s*y - 178 = y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63238*n + 20*n**3 - 63238*n + 4*n**2 in the form i*n**2 + t + z*n + p*n**3 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 9*p + 41. Give w(11).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-7 + 11 - (8 - 0))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -2.8?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464, 766, 1068, 1370, 1672?\nAnswer: 1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(2\/7)*(((s*s**(8\/3))\/s*s*s)\/s)\/s*(s*s*(s**(-13)*s)\/s)\/(s\/(s*s*s*s**(1\/4))*s))**(-24\/7) assuming s is positive.\nAnswer: s**(974\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13188097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 7*u**2 + 6. Let j be s(7). Let o = j - 4. Suppose 2*z - 178 = o*v + v, 0 = -5*z - 4*v + 468. Is 52 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/(-12)*5076\/(-6204)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/7, 0.4, -3, 16, 0.5, -3.27?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -9*r**4\/2 - 2*r**3\/3 - 21. Let l be z(-1). What is the highest common divisor of 1 and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 - 15 = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.398 + -4.602. Which is the closest to 2\/7? (a) o (b) 5 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -116, -351, -586?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6556 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/24 and 29\/1300176.\nAnswer: 1300176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/5))**(-15))**(-46) assuming u is positive.\nAnswer: u**(-414)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*l - 41*l - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from {h: 1, m: 3, l: 1, e: 1, a: 7}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -17*f**6\/120 + 5*f**3\/6 - 13*f**2. Differentiate p(u) wrt u.\nAnswer: -51*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.49? (a) -796 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -40. Let w(b) = -2*b**2 - 19*b + 32. Let x be ((-2)\/4)\/(9\/(1 + 197)). Let v be w(x). Put -3, a, v in increasing order.\nAnswer: -3, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 60\/8*((-8)\/(-12) - 0). Find the second derivative of -108*a**2 - 1 + o*a**2 - 23*a - 22*a - 36*a - 105*a**2 + 2*a**3 wrt a.\nAnswer: 12*a - 416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000037 to seven dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + w + 8. Let i be -1*(0 + 1)*-2. Solve 0 = -w*j + 2*m + 6, -i*m - 3*m = -5*j + 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -594702927 by -352521.\nAnswer: 1687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -51069, -51091, -51117, -51153, -51205, -51279, -51381?\n\"Answer: -a**3 + 4*a**2 - 27*a - 51045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2.33, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 16859364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 + -142.1. Let f = 5.1 + i. Which is the nearest to f? (a) -1\/4 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10898 * 4\nAnswer: 43592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 0*p + 0*p**3 + 0*p**2 + 2 - 1\/20*p**5 + 0*p**4. Let q(u) = 0. Calculate u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -108*x - 184. Let r(n) = 54*n + 82. Let a(m) = -4*j(m) - 9*r(m). Determine a(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r + r + 0*r + (0 + 3 - 5)*(2*r + 0 + 0) - r - 2*r + 4*r + 4*r - 4*r + r + (-2 + 2*r + 2)*(-1 - 2 + 4) + 2*r + 2*r + 0*r.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -41 - 1934 - 1657 - 2163*j**2 wrt j?\nAnswer: -4326*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6311 - 8876. Is o > -2565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 1\/35, -164?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x - 3*x - 2*x + (1 - 1 + 2*x)*(-4 - 3 + 5) + 6338*x - 1397*x + 13 - 13.\nAnswer: 4936*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1067, 0 in decreasing order.\nAnswer: 1067, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 4*z + 2. Let b(o) = -o**3 - 7*o**2 + 16*o - 22. Let q be b(-9). Let g(c) = 7*c + 22. Let w be g(q). Determine y(w).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1\/2))**(3\/7)\/((l**(1\/3)*l)\/l**1) assuming l is positive.\nAnswer: l**(13\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 42134309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2091*q + 1317. What are the prime factors of y(4)?\nAnswer: 3, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) - (0 + sqrt(1573))) + sqrt(1573))*1*4)**2 + (1 + -4 + 2*sqrt(208))**2.\nAnswer: -48*sqrt(13) + 26009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*f**2 + 297*f**2 - 266*f**2 + 923*f**2.\nAnswer: 1126*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*-11.5238\nAnswer: -34.5714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -63, 2.5, 12, 2\/11, -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-one quarters of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -87292521.119 plus 1?\nAnswer: -87292520.119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3\/(-6)*-18. Let x(q) = q**3 + 6*q**2 + q + 6. Let w be x(h). Sort w, -2\/9, -0.1 in ascending order.\nAnswer: -2\/9, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 800002*h + 4. Suppose -a + l + 19 = -4*a, 2 = -2*l. Let q be 4\/(-3)*(-9)\/a. Let d be y(q). Round d to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z**5 - 4*z**5 + 3*z**2 - 5*z**2. Let l(o) = 9*o**5 + 3*o**2. Let c(h) = l(h) + 6*y(h). Find the third derivative of c(k) wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**4\/7 - 18440*w**3\/7 + 34172*w**2 - 735664*w\/7 + 661968\/7 = 0. What is w?\nAnswer: 2, 9, 4597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(-1 - -2). Is u less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-3))\/h**(-2\/25))\/(h**(-2)\/h)**6*(h*h\/(h**0*h))**(1\/5)\/((h*h\/(h**(-4\/7)*h))\/(h**3\/h)) assuming h is positive.\nAnswer: h**(3974\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2079568, 4159139, 6238710?\nAnswer: 8318281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f - 4*f + 3*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 2a90?\nAnswer: -2a8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 + 2 - 2 + (2 + 3 - 4 + (2 + 2 + 0)*(-2 + 2 - 1))*(-v + 2*v + v)*(-6*v + 9 - 9).\nAnswer: 34*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -32\/435?\nAnswer: -32\/435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 678 (base 15) to base 13.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from bcbbbbcbbbbwbbk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventeen halves of a decade?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1269972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/32)*w**(-14))\/(w**(-3\/5)\/w)**26)**(-2\/13) assuming w is positive.\nAnswer: w**(-4411\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.88 - 0.98. Let b = 1 + -1.1. Let k = b + -1.9. What is the closest to i in -5, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**17*n\/(n*n**(7\/5)) assuming n is positive.\nAnswer: n**(78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ugqd when four letters picked without replacement from qfugqqdufu?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2. Let a(v) = -v + 27*v - 13*v - 5*v. Give a(u(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 6. What are the prime factors of h - (1 - -2)*-7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**8\/1848 + f**6\/660 - 6*f**2. Factor z(y).\nAnswer: -2*y**3*(y - 1)*(y + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**5\/5 - 84*r**4\/5 - 56*r**3 - 192*r**2\/5 = 0. What is r?\nAnswer: -2, -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 8. Let f be u(-6). Suppose 4*z + 12 = -3*l, z + f*z - l - 4 = 0. Are z and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 141, -6, -155, -306?\n\"Answer: -k**2 - 144*k + 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*d, -5*d + 0*d = 3*b + 24. Let f be 300\/24 + b\/2. Solve -4*n - 5*p + 6 + 19 = 0, f = 2*n + p for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 9*i**2 + 8. What is the remainder when 172 is divided by m(-3)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*s**2 - s**3 + 30*s**2 + 2*s + 29*s**4 - 59*s**2 as g + w*s**3 + z*s**2 + d*s**4 + p*s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17664 and 207.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -2 (c) 4 (d) -28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 974503, 974484, 974455, 974416?\n\"Answer: -5*n**2 - 4*n + 974512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -14*g + 56. What is j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + -168. Let n = q + 95. Let l = 28 - n. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.12 and 0.60347177795.\nAnswer: 0.48347177795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/225?\nAnswer: -4\/225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 1. Suppose 5*m - 3*d - 18 = 0, m - 5 = -0*m + 2*d. Calculate the smallest common multiple of z and (-3)\/m - 2 - -13.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 684290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(11\/((-330)\/(-665))).\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + ((-19 - -13) + 10 - -67) + 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*k = 5*s - 40, k + 16 = 4*s. Suppose 3*u + 5*m = -2, -s*m - 1 = 5*u - 11. Solve 3*q + u = 2*l + l, -3*q = 3*l - 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (8 + (-8 - -2)) - -7.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46162 - 46162 + 3068*t to the form i + f*t and give f.\nAnswer: 3068","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21505*q + 240 = 21489*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -q**4*s**3 + 31767*q**3*s**3 - 2*q*s**2 - 154*q + 22*s**3 wrt q?\nAnswer: -12*q**2*s**3 + 190602*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smmmmsmmms. What is prob of sequence sms?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 70 * -18.\nAnswer: -1260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + -8. Let a be (-126)\/9*(-80)\/(-56). Let n = m - a. Solve b = n*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.159 + -79.16204. Let t = 13 + -65. Let w = t - a. What is w rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -3 - -4)*2\/(-2)*(1 + 12).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -17\/124 (c) -2 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -c + 2*b, -9 = c + 3*b + 4. Let q = -2\/8971 - 906063\/35884. What is the common denominator of q and (-57)\/14*c\/(-6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**4 - 210*n**3 + 5604*n**2 - 4160*n - 32448 = 0?\nAnswer: -2, 3, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -40. Let w be (x\/28)\/((-2)\/14). What is the lowest common multiple of 4 and w - 0 - 2 - -8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p + 1. Let c be i(-2). What are the prime factors of (7 + c)\/2 - -74?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whh when three letters picked without replacement from {w: 1, a: 1, h: 2, c: 2, p: 4}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 472 = 412. Suppose 8 = -4*p, 5*m + 4*p = 2*m + 70. Calculate the remainder when i is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 80 - 77 - 45 - 42.\nAnswer: -n**2 - 244","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38, 98.76.\nAnswer: 0, 38, 98.76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 368*n + 858*n + 70*n - 72*n + 42840 = 0 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-188 - -193) + 7\/(-9).\nAnswer: 38\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 192\/90 + (-8)\/6. Let p = 23 - 16. Let v = p - 5. Sort v, y, 1, 3 in ascending order.\nAnswer: y, 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 + 3*s**2 + s**2 + ((1 - 1 - 1)*(0*s + 4*s - 3*s) - 2*s - 3 + 3 + s - s + s)*(-17943 + 17943 - 651*s).\nAnswer: 1303*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 7 = -4*c + 35, -3*q + 3*c = 9. Solve -q = -3*a + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.22564 to three decimal places.\nAnswer: 0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -20)\/(2\/55603) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c + 12. Let j be q(-5). What is the derivative of -9*s**2 + 1 - 3 + 4*s**j wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -6d4a2?\nAnswer: -6d4a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -562 + 562.3. What is the smallest value in -2\/11, o, 16, -0.1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4204453 (base 6) to base 9\nAnswer: 338676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32980*m**3 - 32986*m**3 + 65968*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -208, -209, -210, -211?\n\"Answer: -k - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -7. Let n(g) = g**3 - 4*g**2 + 4*g - 1. Let f = -7 - -10. Let a be n(f). Is a bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6)\/p**(1\/12) assuming p is positive.\nAnswer: p**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 3:03 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 12*p**2 + 6*p - 7. Is c(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -r**6\/5 + 7*r**4\/12 + 4*r. What is the third derivative of a(g) wrt g?\nAnswer: -144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/6 (b) 2.66 (c) 4 (d) 1 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 1\/34, 1\/8, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 5*o + 40 + 96, 0 = 5*q + 4*o - 373. Calculate the remainder when q is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*d = 180, 0*d + d = -2*a + 92. What is the smallest common multiple of 4 and 2 + (a\/(-2))\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 26, 0.7, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zewezwszeizeeseseee. Give prob of sequence iezw.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x**2. Let v(u) = -2*u - 5. Let b(t) = -t - 4. Let c(m) = -5*b(m) + 4*v(m). What is c(h(z))?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8\/3? (a) -21 (b) 3 (c) 4 (d) -9 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*i = -388, -i - 2 = 2. Suppose 3*o - o - 46 = 0. Calculate the greatest common divisor of w and o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/1065 and -36\/35?\nAnswer: 7455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3*w - 16 = -0*w, -t + 3*w = -4. Solve 5 = a - 0*a - 2*x, 4*a = -t*x - 40 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.73 + -2.73. What is the second smallest value in 2\/11, 2\/101, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142 and 1?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27498 + 27722.43. What is a rounded to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3 - 5 - 4*y**2 as s + m*y**2 + i*y and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2903233905?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3*f + 3*f)*(f + f - 3*f) + (-10*f**2 - 7*f**2 - 12*f**2)*(-2*f - 10*f - 4*f).\nAnswer: 466*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.181 - -0.1?\nAnswer: -4.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 109874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*o = 3*r - 2019, -2019 = -3*r + o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, -128, 1, -1, 13 in decreasing order.\nAnswer: 13, 1, -1, -23, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1226846*g + 2 - 1229205*g as b + h*g and give h.\nAnswer: -2359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(448))**2*-4 + (1*sqrt(504))\/sqrt(8).\nAnswer: -1792 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/5 of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43347504359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28868 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -246123518 + -179.31\nAnswer: -246123697.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 11*t**2 - 5*t - 8. Let u be l(-12). Let r = u + 97. Which is the second smallest value? (a) -11 (b) r (c) -3 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -357 divided by 156?\nAnswer: -119\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/((-11)\/9))\/(-1)*1\/6.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-405)\/(-25) + 3\/(-15). Let s = t + -6. Let o = s - 5. Solve k = o*z - 2*k + 13, -3*k + 3 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.6 - 6. Let w = 6\/7 - 68\/63. Let k = 213 + -213.2. Which is the second biggest value? (a) w (b) k (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 32*u**4 + 65259*u**3 - 47302*u**2 + 11*u - 1.\nAnswer: 768*u + 391554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-24))\/((-2)\/2502). Let i = m - -156. Let w be 36\/(-63)*(-14)\/44. Which is the third smallest value? (a) w (b) 3\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r**2 + 10010*r - 832800 = 0 for r.\nAnswer: -2082, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1836 + -1840. What is the closest to -0.42 in 0.4, 4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**3\/t**(-6)*(((t\/((t*t**5\/t)\/t*t))\/t)\/t)\/t*t*t\/t**(-1)*t assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 160.87 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -719372 by 359686.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 + 15*v**2 - 14*v**2 - 1 - 2*v**2 + 1 + (0*v - v + 2*v)*(-v + 3*v - 4*v) + v**2 + 3*v - 3*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60239271 and 15?\nAnswer: 301196355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpb when three letters picked without replacement from iiipiiqqiibiqqqqqpbb.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617999052 to the power of 1\/2, to the nearest integer?\nAnswer: 24860","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + y**2 + 4*y**3 - y - 1185*y**4 - y**3 + 1183*y**4 - 2 to the form i + o*y**4 + z*y + r*y**3 + g*y**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5805509 to the nearest integer?\nAnswer: 2409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3294005 and 71825.\nAnswer: 1105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 + 18*m - 9. Does 11 divide w(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.3 (c) 0.2 (d) -21350 (e) -5 (f) -2\/5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -4. Let t = g - -1.99999956. Round t to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1815*l = -1804*l - 11319. Is l a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11861200 - -321813?\nAnswer: 12183013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51.436 - -71.526. Let u = o - 123. Let t = -13.038 - u. What is the third smallest value in t, -1\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 9 - 2*r**2 - 2*r - 1 + 32*r**3 + 8*r - 33*r**3. What is the remainder when 55 is divided by w(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57579.13*0.5.\nAnswer: 28789.565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-4)*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74a (base 13) to base 16.\nAnswer: -4dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((4 - 3) + 0 + 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 20*w + 62. Let l be m(-22). Suppose 295 = l*y + 61. Calculate the remainder when 103 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 - 16*d**2 + 7*d + 43. Calculate s(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 257376913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 10.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17186702 - 5?\nAnswer: -17186707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-62)\/84 + 118\/708?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 0)*6 + 2. Suppose -d + 3*d = g. Solve c + d = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01486208343 to 4 decimal places.\nAnswer: -0.0149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 + 2*z - 1. Let h be m(1). Let r be (-2)\/h - 19\/(-6). Which is the third smallest value? (a) r (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 708289 or -4\/3?\nAnswer: 708289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11312 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 818166 by 6.\nAnswer: 136361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6858*p**2. Let h(b) = -b + 14. Determine h(c(g)).\nAnswer: 6858*g**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - j - 3. Let c be z(0). Let v = 6 + c. Suppose -10 = -r - 1. What is the highest common factor of r and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*m + 7*m. Let b be 6\/m*2\/6. Let n(k) = -k + 3*k + b*k. Let t(y) = -7*y. Determine -5*n(c) - 3*t(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2844\/15 - (-2)\/5?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/4)\/((z\/(z\/((z\/((z**1\/z)\/z))\/z)))\/z))\/((z\/z**(-1)*z)\/z*(z*z**(-1))\/z*z) assuming z is positive.\nAnswer: z**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 19. Suppose -16*y = -13*y + 33. Let j be f(y). Solve 3*p + 0*l = -j*l + 9, 5*p - 7 = -l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76 + 273 - 75 - 9*x + 11*x - 57.\nAnswer: 2*x + 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1686194?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose 8*x - 5*x - 6 = 0. Let k(w) = -2*w + 1. Let r be k(-1). Suppose r*s - 6 = -2*y, -y + x = 4*s + 4. Calculate the smallest common multiple of y and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.95 and -0.4.\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeeh when four letters picked without replacement from {r: 8, m: 1, f: 2, e: 5, h: 1}.\nAnswer: 1\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -313 + 9*h**2 + 0*h - 142*h**5 + 198*h**5 + h wrt h.\nAnswer: 1120*h**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 3. Let g(a) = 2*a + 18. Let i(y) = -2*y - 15. Let r(q) = -5*g(q) - 6*i(q). Determine r(n(c)).\nAnswer: -4*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1733 divide 97262892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*c + 31*c - 408. Let y(b) = 52 - c - 27. Let h(u) = -u - 6. Determine h(x) + 3*y(x).\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12.8. Let r = p - -0.1. Is r greater than 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002532258156 rounded to five decimal places?\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2066 - 2067. Sort v, -4, 10, 5, 72.\nAnswer: -4, v, 5, 10, 72","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1286? (a) -1\/3 (b) 1\/6 (c) -0.3 (d) -3 (e) 52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235298*s**4 + 7779240*s**3 - 95641728*s**2 + 517323872*s - 1036210656 = 0 for s.\nAnswer: 6, 442\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -0.018 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**2 - 4*k + 1. Let z be g(-2). Suppose m = 1 + z. Solve -d + 1 = -2*r + 4*d, -2*d - m = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**2 + 3*y + 464. Let f(m) = 2*m - 60. Calculate f(h(r)).\nAnswer: -8*r**2 + 6*r + 868","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26005532 to the nearest integer?\nAnswer: 296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 5*w**2 - 4*w + 21. Let n be i(5). Let v = 0.1 + 0.3. Let k(x) = 2*x + 29. Let o be k(-14). Which is the nearest to n? (a) 2\/11 (b) o (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 0)\/(162\/(-243)) + (-67)\/(-9).\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y\/((y*y\/y**(3\/2))\/y*y))*y**(-10)*(((y\/y**1)\/y)\/y)**(38\/7) assuming y is positive.\nAnswer: y**(-285\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of s**6\/360 - s**4\/8 - 3*s**2. Let v(t) be the second derivative of j(t). Let n(y) = -2*y**2. Determine n(v(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 11\/9 + 2\/(-2). Let i = 8 - 4. Let c = -9\/11 - 17\/33. Sort c, a, i in decreasing order.\nAnswer: i, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37932 and 26864358?\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/48 in -0.4, 1\/3, 9, -21, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 14 + (216 + -59 - (4 - -2)).\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 + (-6)\/(-30)*485 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z - 83. What is n(18)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjndjb. Give prob of picking 1 b and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by -4285?\nAnswer: -53\/4285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79940558?\nAnswer: 2, 2393, 16703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.2, 4, 22?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 12. Suppose 4*s - 2*s = 3*u - 17, -5*s - q = -u. Solve n + 2 = -5*d, d + 2*d = -2*n + u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(-2))\/d*d**9\/d)\/(d**(2\/19)\/(d*(d*d**(2\/3))\/d))*((((d*d*d*d**(-4)*d*d*d)\/d)\/d)**(-33))**(-10\/3) assuming d is positive.\nAnswer: d**(716\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:46 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18\/473 or -1?\nAnswer: -18\/473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**2)\/(o\/(o\/o**5))*((o*(o**5\/o)\/o*o)\/o*o)\/o*o*o*o*o**2)**3 assuming o is positive.\nAnswer: o**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - f**2 + 3*f. Let j be k(3). Suppose 0 = 17*v + 17 - 34. Does 8 divide j + -4 + v + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -22, 1\/5, -1.18?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 - -43. What is the fourth smallest value in 1, 5, l, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 8*l**2 + 9*l - 3. Let z be j(-7). Let i be z\/45 + (-4)\/18. What is the biggest value in i, -3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3709*w - 3691*w + 72 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a decade in years?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.65 (c) -2 (d) 1428\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 8*b + 36. Calculate n(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1789354.\nAnswer: 2, 7, 23, 5557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.049 less than 12906.53?\nAnswer: 12877.481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5932762657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1602672697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/35)\/(11*(-5)\/(-165)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (sqrt(132) + -3*(sqrt(132) + sqrt(132) + sqrt(132)*1)))\/sqrt(12) + 5)**2.\nAnswer: 90*sqrt(11) + 916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -257 and 4.\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/(-10)*(-30)\/12. Suppose 17*s - 15*s - 4 = 0. Suppose -s*d - 20 = -7*d. What is the highest common factor of g and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 51, 3.\nAnswer: -2, 3, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-3))\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c + 320. Let t(w) = 2*w + 161. Let f(k) = 3*a(k) - 7*t(k). Let l(m) = -m**2. What is l(f(p))?\nAnswer: -4*p**2 - 668*p - 27889","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 591244 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (-23 - -23 - 5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 132 + -657\/5. Let i = -2 - -4. Let y = 3 + 1. Sort y, i, m.\nAnswer: m, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*n + 19 = -11, 2*x = -4*n - 40. Let p(k) = k**3 + 9*k**2 - 12*k - 6. Let y be p(x). What is the derivative of -16 + 11 + y - 10*m**3 + 13 wrt m?\nAnswer: -30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-108)*(1 + 5\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.79 and 2452227816.8.\nAnswer: 2452227816.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 18*n**2 - 13*n + 45. What is the hundreds digit of z(23)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/4 - 1557*b\/4 + 21255\/2.\nAnswer: -3*(b - 26)*(b + 545)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 16029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 > -126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (0 + sqrt(128)*-5)**2 - 4*(sqrt(128) + (sqrt(128) - (sqrt(128) + -4)**2) + -2).\nAnswer: -320*sqrt(2) + 3788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -3\/4 (c) 2 (d) 101 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -1\/8, -2\/839?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = 22*o - 18*o + 36, -317*o + 4 = -d - 319*o - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109 - 105. Solve -4*s + 12 = -4*v, -v - 8 = -m*s + v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*4\/(-56)*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44977.\nAnswer: 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = -2*l. Let p = 3 + 3. What is the lowest common multiple of l and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.37 at most as big as -14437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*n + 27940*n**2 + 67381*n**2 - n - 2*n.\nAnswer: 95321*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479770 + 479770 + 26*y - 27*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68*o - 220 + 220)*(-3*o + 2*o + 4*o).\nAnswer: 204*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/3)*w)**(2\/157))**10 assuming w is positive.\nAnswer: w**(100\/471)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*z - 3*x + 62, 4*x + 963 = z + 1084 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 1, -19.4.\nAnswer: -19.4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6\/z*z**(-1))\/(z**(-1\/4)\/z)**(-5\/6)*(z\/((z*(z\/(z**(-1)\/z))\/z*z)\/z))\/(z*(z*z\/(z\/z**0)*z*z)\/z)*z**(5\/3)*z*z\/z**(2\/11) assuming z is positive.\nAnswer: z**(127\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Solve -3*m = -f*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/2429, -5, -0.5, -9?\nAnswer: 2\/2429","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -32. Let v(c) = c**3 - 4*c + 3. What are the prime factors of v(b)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4728*h**3*u**4 + 184*h**3*u**2 + 1095750*h**3 - 2 wrt u?\nAnswer: -18912*h**3*u**3 + 368*h**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 + 6*i**2 + 7*i + 5. Let k be (-4)\/(1 - -7)*-10. Suppose -4*s - 3 = 1, k*x - 38 = 3*s. Let d be v(x). Let p(h) = h + 1. Determine p(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439561 divided by 1.\nAnswer: -439561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n + 38. List the prime factors of s(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from utgsgselttsutst. What is prob of sequence elt?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1765413 is divided by 117694.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -17297748293513?\nAnswer: 17297748293513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16308 - 32617\/2. What is the closest to 1.262 in 0.1, w, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 500 - 495. Let s(i) = 6*i**3 + 3*i**2 - i - 4. Let u(v) = 5*v**3 + 4*v**2 - v - 5. Determine d*s(y) - 4*u(y).\nAnswer: 10*y**3 - y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-8\/3)*i)\/i**13)\/((i**(-1)\/i)\/(i*i**3\/i)) assuming i is positive.\nAnswer: i**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*((-1 + 6*(-2 + sqrt(252)) + sqrt(252) + (-2 + sqrt(252))*2 + -1)**2 + 4).\nAnswer: -124440 + 11664*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -56 by -2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (19\/228)\/(1\/6). Which is the closest to -1? (a) 0 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1344) + sqrt(1344)*1)\/(sqrt(63)*1) - (sqrt(30)\/(-4*sqrt(10)) + ((sqrt(84)\/sqrt(7))\/sqrt(4))**2 + sqrt(3)).\nAnswer: -3 + 55*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 7:37 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/6105 and 31\/37.\nAnswer: 6105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -211446735 divided by 1?\nAnswer: -211446735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*c**3 - 336*c**2 + 882*c - 686.\nAnswer: 2*(c - 7)*(4*c - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -717*r**2 - 9*r - 3. Let s(v) = -723*v**2 - 12*v - 4. Let h(n) = 3*s(n) - 4*w(n). Let m(o) = o. Determine m(h(y)).\nAnswer: 699*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*((3*sqrt(1250) - sqrt(50))*1 - 3*sqrt(1250)*-2).\nAnswer: -2640*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000101011100 - -110001100?\nAnswer: -111111111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence octt when four letters picked without replacement from {o: 1, c: 2, x: 3, k: 3, t: 3, w: 3}?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 5. Let z be 2\/(9 - 143\/26). Let y = -0.9 - -1. Which is the closest to y? (a) o (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*k + 10*k**2 - 7*k - 6*k.\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 3:58 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3673 a factor of 258859969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 3*q - 2*q - 2*q - 3*q + 7*q + (6 - 3 - 2)*(2*q + 0*q + 0*q) + q - 3 + 3 - 2*q + 3*q - 3*q + 4*q - 3*q - 2*q - 141*q - 61*q - 120*q.\nAnswer: -321*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -41*h**2 + 2*h - 143 with respect to h.\nAnswer: -82*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*g**3 + 5*g**2 + 16*g**3 - 8*g**3 wrt g.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9877 + -9877.000044268. What is u rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379275597?\nAnswer: 3, 42141733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1274327.2 + 34.22?\nAnswer: -1274292.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2795139540 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11211957 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: b\"What is the fth term of 57878, 57802, 57714, 57614?\n\"Answer: -6*f**2 - 58*f + 57942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes before 2:11 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(4*v - 3*v + v) + 6*v + 28 + 22 - 50.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3*x**3 - 3970*q**2*x**3 - 6808*q*x**3 - x**3 wrt q?\nAnswer: 12*q*x**3 - 7940*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24990 and 1190?\nAnswer: 24990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 less than 1861737?\nAnswer: 1861733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5))**(-17)\/(t**(1\/2))**(1\/3) assuming t is positive.\nAnswer: t**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**2 - 37*l**2 + 5*l**2 - 1 + 1.\nAnswer: -44*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*d**5 - 7*d**4 - 263*d wrt d?\nAnswer: -220*d**3 - 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**4\/24 + 105*k**2\/2 + 91*k. Let i(j) be the first derivative of c(j). Let y(n) = n. Calculate i(y(b)).\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 109892.7 millennia to centuries.\nAnswer: 1098927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 3:44 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/57820 and 41\/52038?\nAnswer: 520380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of -1\/36*p**4 + 1\/18*p**3 - 3*p + 0 + 0*p**2. Factor t(j).\nAnswer: -j*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, -4, 2, 20, 56, 116, 206, 332?\n\"Answer: u**3 - 3*u**2 + 2*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a microgram in nanograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -68?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 327112, 654236, 981378, 1308544, 1635740, 1962972, 2290246?\n\"Answer: v**3 + 3*v**2 + 327108*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3, 5, 11, 15, 17?\n\"Answer: -j**2 + 11*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26681.89 - -26499. Let q = z - -183. What is the closest to 1 in q, -1, -2\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83767505.\nAnswer: 5, 281, 59621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 235*t**6 + 3*t**5 - 3*t**2 + 180.\nAnswer: 28200*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y\/(y*y**(2\/23)*y))*y)\/(y*y*y**32*y)*y**(10\/9)*y\/y**(2\/17) assuming y is positive.\nAnswer: y**(-105287\/3519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2711302?\nAnswer: 2, 11, 251, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 - 8*p + 6*p to c + a*p and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 9 = 3*n, 9 = 5*v - v + 3*n. Suppose v = -5*g + 10. Let w = -3 + 3. Which is smaller: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 6*p + 4*p = 21, 5*c - p - 42 = 0. Suppose -m - 4*f + 15649 = 0, c*m + f + 62511 = 13*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1437, -1433, -1429, -1425?\nAnswer: -1421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 + (-62)\/(-12) - 34\/(-12). What is the third derivative of -7 + 132*l**4 + 14*l**s - 5*l**2 - 131*l**4 - 10 wrt l?\nAnswer: 24*l + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 31*x**3 + 213*x**2 - 305*x - 550.\nAnswer: (x - 22)*(x - 5)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2288, -1623, -5548, -9493, -13464, -17467?\nAnswer: -21508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009426 rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 17*p - 25. Suppose 7 + 5 = p*r. Which is smaller: 1 or r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 177 = -l. Let a = 85 - l. Is 13 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 278*s**2 + 3*s**2 - 72*s**2.\nAnswer: 209*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 29880518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.771159 grams to nanograms.\nAnswer: 771159000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 566*u + 8377 + 5049 = -12 - 712 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 - w**2 + w**2)*(4 - 4 + 2*w**2) - 2*w**2 + w**4 + 2*w**2 + (2 - 2 + w**3)*(w - w - 2*w) to i*w + l*w**2 + a*w**3 + x + u*w**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhzhxvvefvx. What is prob of sequence xf?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8354?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/132 and -151\/342?\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = -2*z + 6*z. List the prime factors of z.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**4 - 143385*k**3 - 1390238070*k**2 - 4739616316940*k - 1766796092266680.\nAnswer: -5*(k + 423)*(k + 9418)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 5*q**2 - 3*q + 8. What is the units digit of d(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of d**4\/8 - d**2. Let w be n(2). Suppose 0 = w*a - a - 110. What are the prime factors of a?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t - 8. Suppose 24 = -3*q + 6. List the prime factors of l(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(208) - (sqrt(208)*-1 + 1) - sqrt(208)) + -2 + 3 + sqrt(13) + sqrt(208) + 0 + -4)*-1)**2.\nAnswer: -204*sqrt(13) + 3793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62323\/47 + 1326. Which is bigger: m or -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (352\/(-55))\/(1\/(-5)). Let f be (2 - 5)*(-4)\/6. Find the second derivative of 32*j**2 - 12*j**5 - 9*j**5 - c*j**f + 6*j wrt j.\nAnswer: -420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 + 47*d + 1009. Calculate w(27).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(119)*1*5 + sqrt(119))*4)\/((4*(sqrt(784) - sqrt(49)))\/(sqrt(112)*1)).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 11:06 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -17607.\nAnswer: -17612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 283 + -98. Which is bigger: 186 or a?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 0 - -1*6. What is the third derivative of -5*l**2 - 3*l**r - 2*l**4 + 12*l**2 - 5*l**4 wrt l?\nAnswer: -168*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 4 = -7*b. Let n be -1 + 2 + 54\/6. Let d(o) = 18 - n - b - 2*o. Calculate d(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + c - 1. Let d(t) = -6*t**2 + 5*t - 6. Let g(x) = 5*a(x) - d(x). Let w(o) = o**3 - 22*o**2 + 32*o - 9. Let k be w(1). Determine g(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 10 = 0, 5*m = 3*v - 138 - 41. Let u = v + 13. Suppose -4*x + 405 = u. Is x a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6028*u**2 + 37*u + 15. Let h be s(-1). Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 45*g + 3325. Let a be l(-74). Sort 2, -0.1, a, -5\/2, -39 in ascending order.\nAnswer: -39, a, -5\/2, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -18806, -37523, -56148, -74681, -93122, -111471, -129728?\n\"Answer: 46*v**2 - 18855*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let h(p) = -3971*p + 1145. What is h(d(n))?\nAnswer: -3971*n + 1145","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*s + 20*s + 3*z = -32, 3*s - 2*z - 23 = 0. Solve 24*g + 22 = 19*g + 2*l, -s*l + 1 = g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j**2 + 5\/3*j**3 - 6 - 3*j. Differentiate s(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n - 4*n + n + (3 - 3 - 2*n)*(-2 + 5 - 1))*(-6*n - 46 + 46) + 0*n**2 - 4*n**2 + 2*n**2.\nAnswer: 58*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 595 = p - 5*y + 3*y, -4*y - 16 = 0. Factor f + p - 587 + 3*f + 2*f**4 + 8*f**3 + 10*f**2.\nAnswer: 2*f*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62171578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 15050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -51525\/13 at most -3964?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1384.\nAnswer: 415.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -29, 1219, 5 in increasing order.\nAnswer: -29, 0, 4, 5, 1219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -s + 555, -31*s - 565 = -b - 30*s. What is the least common multiple of b and 168?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45083, -90164, -135245?\nAnswer: -180326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 4 = -4*q. Suppose -5*x = q*t - 40, 6*x - x - 34 = -3*t. Factor t*b - b - b + b**2.\nAnswer: b*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 14.8?\nAnswer: -59.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1274592 divided by 5984\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186309 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 + 164 = 3*v + 4*k, 2*k = -2. What is the highest common factor of 4900 and v?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 - x**2 - 6*x - 7. Let b be s(-2). Solve 5 = -t + b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(2052) + sqrt(57))\/sqrt(3)*5 + ((-5*-1*sqrt(152) - sqrt(152))\/sqrt(8) + -5)**2.\nAnswer: 329 + 145*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2. Let t(l) = 179*l + 358. Let c be t(-2). Let v(g) be the second derivative of -8*g - 31\/6*g**3 + c + 0*g**2. Give p(v(w)).\nAnswer: -1922*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 31894704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -464, -681, -878, -1049, -1188, -1289?\nAnswer: -1346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2795576977?\nAnswer: 163, 17150779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-54)\/(-15) + -1*3\/5. Suppose -4*o + 21 = h, 3*o - 12 = -3*h + 15. Let p(f) = -f - 6*f - 3 + 2*f + o*f. What is p(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 839?\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in 6, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s + 9. Let t be (11 + -8)*(1 + 0). Let l(v) = -10*v + 17. Let g(h) = t*l(h) - 5*z(h). What is the first derivative of g(c) wrt c?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5773 + 6757. What are the prime factors of u?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86010 = -68*j + 1636906. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + j - 3*j)*(-3*j + 2 - 2).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stwtsstsfs. What is prob of sequence sw?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) 1\/3 (c) -0.2 (d) -42.29 (e) 24 (f) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 3*z. Suppose z = -v + 25 - 3. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 530 + -529.87025. Let r = z - 0.13. What is r rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18480.6 rounded to the nearest one thousand?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*m**2 - 205*m - 78 = 0. Calculate m.\nAnswer: -3\/8, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.299 and 0.23537.\nAnswer: -0.07037563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/4150 and -25\/56938?\nAnswer: 1423450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1842379 + 330*r - 1842379 to the form i*r + n and give i.\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-217)\/(-1))\/(-16 - -15). Let k = t - -237. Which is smaller: k or 37\/2?\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -0.05, -4, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13076 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 5*f**2 - 57*f - 10. Let d be s(-5). Solve -9*k = -d*k - 64 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 0*z - 1\/60*z**5 - 2*z**2 + 0 - 7\/6*z**3 + 5\/12*z**4. What are the prime factors of l(5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1146*v**2 - 57*v - 95 wrt v?\nAnswer: -2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1854 or -1851?\nAnswer: -1854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 343689357 to the nearest integer?\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 597067606 a multiple of 238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*h = 70*h - 30. Solve -h*y = -5*g - 2 + 7, 2*g = -5*y - 29 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -0.84, 21.4, 5.\nAnswer: -5, -0.84, 4, 5, 21.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4312*i**3 + 560*i**2 - 146*i + 6.\nAnswer: 2*(11*i + 3)*(14*i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212 - -12323?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5351 (b) 1.3 (c) -5\/6 (d) 0.5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n - 17. What is y(8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d + 3*d**2 + d + (6*d**2 - 3*d**2 + d**2)*(3 + 3 - 4) + d**2 + 6*d + 1 + d**2 - 4*d to y + h*d + c*d**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.09786.\nAnswer: 0.009786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(6300) + sqrt(6300) + -2 - ((-5 + sqrt(189)\/sqrt(3))**2 - sqrt(63)) - ((sqrt(63) - sqrt(315)\/(sqrt(500) - sqrt(5)))*1)**2)*3.\nAnswer: -1267\/3 + 279*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.39 + -2.39. Let a = 0 + -2. Let n = v - a. What is the nearest to n in -3, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*w + 25*w = 5. Sort -7, w, -4, 5.\nAnswer: -7, -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3213929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 * -653000\nAnswer: -783600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 0 + -269 + 295?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0211 + -3.9789. What is the closest to -1.7 in w, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 15*m**2 - 20*m + 67. Suppose 82 = 5*d - 3*p + 11, -4*d + 70 = 2*p. Let c be n(d). Solve -w = -3*f - 17, 2*w = -3*f - 8 - c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4974, -4900, -4860, -4866, -4930, -5064, -5280, -5590?\nAnswer: -6006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 292.8.\nAnswer: -117.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6819 + 6702. Let v be 3 + (-3 - -2) + 275. Let k = v + i. Is k a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 112120313101?\nAnswer: -112120313033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.8. Let r = -0.801 - -0.401. What is the nearest to -0.2 in c, 3, -0.1, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3661.\nAnswer: 7, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 89e + -2?\nAnswer: 89c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1897?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -4*y - 54. Suppose 2*o + 30 = -3*o + y*z, 2*o + 4*z = 0. Is 2*(o\/(-1) + (-3880)\/(-16)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 624544489.\nAnswer: 9829, 63541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 482521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.11120313 rounded to 2 decimal places?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + 17 + -15 + 51 + -35?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-17\/3)*t*t*t)\/t*t**(-11) assuming t is positive.\nAnswer: t**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5138513 + -5?\nAnswer: 5138508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3840 divided by -12?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j + 6. Let u(q) be the third derivative of -q**4\/4 + q**3\/3 - 329*q**2. Give 4*f(k) - 11*u(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6435 is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 429, -5, 3, -3 in descending order.\nAnswer: 429, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2*u + 2)*(3 - 5*u**3 - 3) + 4*u**4 - 3*u**4 - 8*u**4)*(5 - 5 + 5*u).\nAnswer: -85*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1574*u + 784*u + 806*u + 2*u**3 - 2*u**2 - 22 to w*u**2 + v + a*u + k*u**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1213505310 divided by -1917070\nAnswer: -633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w + 1\/4*w**4 + 4 + w**2 + 37\/360*w**5 + 1\/9*w**3 + 121\/1260*w**7 - 11\/40*w**6. Factor u(p).\nAnswer: (p - 1)**2*(11*p + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bx when two letters picked without replacement from nbxvnnvnbnvx.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 204*a + 7412. Give t(-37).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 7. Let c be v(5). Let o be (60\/70)\/(9\/105). Let d be (-11)\/c - 5\/o. Solve -p - 3 = -3*n - 13, 0 = -d*p - 2*n - 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 14*b**2 + 2*b + 14. Give a(14).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 739681?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 186 + 185 - j**2 - 378 - j**4 - 7*j in the form y + w*j**3 + x*j**4 + n*j**2 + p*j and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/8 - 45\/(-12). Suppose 3*s = -h*f + 47, -10 = -2*f + 3*s + 13. Solve -f = 5*u + 5*k, 0 = -u - 2*k - 0*k - 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of 352*h**3\/3 + 489*h**2\/2 + h - 824. Find the second derivative of w(v) wrt v.\nAnswer: 704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16338 + -49430.\nAnswer: -65768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6169.\nAnswer: 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 5*a**2 - 6*a**2 + 3*a**2. Let v(k) = -846 - 9*k + 846. What is v(i(j))?\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**2 - 8587. Let k(p) = 31*p**2. Let x(b) = -1518*b**2. Let v(n) = 99*k(n) + 2*x(n). Determine v(s(w)).\nAnswer: 132*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 709 is divided by 66.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - ((-26 - -21) + 15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/3 + 12454*y**4\/3 + 112018*y**3\/3 + 161740*y**2\/3 - 560075*y\/3 - 622250\/3 = 0. What is y?\nAnswer: -12445, -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5931871?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2686.5 + 2686. What is the closest to -3 in d, -0.116, -2\/13?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -121. Let f = -56 + v. Solve -2*w = f*w + 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**49\/(l**(-4)\/l*l**(-2\/13)) assuming l is positive.\nAnswer: l**(1341\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 - 2*a**2 + 11*a**2 + 2*a + 5*a**2.\nAnswer: 15*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8957*f**2*k**2 + 2*f*k**2 + 458*f*k wrt f?\nAnswer: -17914*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 - -0.8. Let w = -71\/40 - -11\/8. Suppose 12*l - 14*l = -2. What is the nearest to x in l, w, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 AM and 5:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24996 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7724817?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 27*c = 0. Suppose 47*k - 365 - 11 = c. Solve 0 = 2*s - 4*w, 4 = -s - 4*w - k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 15. Let n = 4 - d. Let g = -6 - -8. Solve n = -g*t + 5*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**3 + 8 + 7*x**3 - 3 - 3 - 2*x**2 + 2*x in the form f + i*x**2 + p*x**3 + a*x and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3151 or -3154?\nAnswer: -3154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40603 - 40169 - 40172 + i**2 + 120944.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 13) in base 11?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/3 - 3\/(-9). Let i(g) = -23 - 6*g**2 + 8*g**2 + p*g + 6 + 5*g. Is i(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Suppose -5*m - 1 - 4 = 0. What is the third smallest value in m, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1 + d + 1 - 1 + 6. Let z be y(0). Suppose 4*q = z*q + 15. Let j(a) = -a**2 - 8*a - 7. Calculate j(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l**3 - l**2 - 4*l - 3. Let j be o(-1). Solve -10*n - 4*q + 14 = -12*n, -13 = 3*n - j*q for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66251544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1. Let a(z) = 4 + 4 - 7*z - 6*z - 4. Does 30 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -6, -19, -38, -63, -94?\n\"Answer: -3*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 310, -2\/11, -0.3 in descending order.\nAnswer: 310, 1, -2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1331100 and 113\/476.\nAnswer: 9317700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r - 54. Suppose 0*j = -6*j - 72. Suppose 276 = 4*i - 2*q, 3*i - 3*q - 243 = -42. What is the remainder when i is divided by h(j)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 5. Suppose c = -p - 0*p + 6. Suppose -2 = -p*b + 5*b. Solve -3*s + 3 = -4*q - 6, -2*q - b*s = -6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 49 - 1 = 0. Let t = -9 - s. Suppose 0 = q - w + 2, -5*w + 28 - t = 0. Does 3 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 258778689 to the power of 1\/2, to the nearest integer?\nAnswer: 16087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/22554904 and 57\/44?\nAnswer: 248103944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-834335)\/(-2)*3\/(45\/(-12)). Let l = r - -3673580\/11. Let s = l + -228. Is 1 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 568120 and 5660?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -480835 or -480827?\nAnswer: -480835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.28 + 2.28. Let p = 0.37 + -0.07. Sort -0.3, u, p, 0.\nAnswer: -0.3, 0, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*q + 23, 3 = q + 2*a - 4. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2338 + 4107. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 59085.1 - 59085. Suppose 3 = -m - 0. Sort x, m, -2 in ascending order.\nAnswer: m, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 278*j + 1098. Determine n(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131518776, -263037543, -394556310, -526075077, -657593844?\nAnswer: -789112611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -414 - -419. Suppose -5*a = 4*o - 5, -3*o + b = -4*a - 8*o. Solve -a*i - 31 = -11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 108?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 968.0801 - 968. What is w rounded to three decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27126\/(-74802) + (-3 + 1)\/(-26).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -125. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-85)\/(-20) + (-1)\/4. Let p = -157 - -153. Let v be p*12\/(-18)*12\/16. Is m greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 AM and 11:46 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51*(4 + -3 + -2). Let p = 55 + l. Solve -p*r - r + 12 = -h, -5*h - 8 = r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkkgkggrkkgkgkr. Give prob of sequence gg.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h - 16*h**2 - 7*h**2 - 112 - 9*h**2 + 111 to the form u*h**2 + j + l*h and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388482.\nAnswer: 2, 3, 64747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 12*y + 16. Let k be s(11). What is the third derivative of -k*z**4 + 3*z**2 + z**2 + 2*z**4 - 2*z**2 wrt z?\nAnswer: -72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*p + 1978 = 944. Calculate the remainder when 5986 is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((116\/(-16))\/29)\/(15\/(-12)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34293 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4590, 9204, 13832, 18480, 23154, 27860, 32604?\n\"Answer: c**3 + c**2 + 4604*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/16940 and 131\/10561320?\nAnswer: 116174520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x + 504 = 25*x. Suppose x*g = 74*g - 164718. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxxk when four letters picked without replacement from kxxkxxxkxkkzkxkkxkkx?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = -3*x. Let l(n) = -n**2 + 4*n. Let k be l(x). Put 2, k, 1, -5 in decreasing order.\nAnswer: 2, 1, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24959635.62 rounded to the nearest 100000?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*d + 45*d - 11851. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674*v - 729*v = -1365320. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7*3 - (-5 - -2). Let j = z - -13. Let o be 0 + 0 + (-1 - 1). Put j, o, 0 in increasing order.\nAnswer: j, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2198 and 7196.\nAnswer: 9394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 5*w**3 + 4*w**2 - 9*w - 3. Let c(x) = -22*x**3 - 14*x**2 + 36*x + 11. Let g(q) = -2*c(q) - 9*o(q). Calculate g(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*i**3 - 1925*i**2 + 107042*i - 2?\nAnswer: -12*i - 3850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -15*k**2 - 180*k. Let f(d) = 3*d. Let j(u) = -180*f(u) - 3*y(u). Let n(i) = -37*i**2. What is j(n(o))?\nAnswer: 61605*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ngnxbzn. Give prob of picking 1 n and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*g + 1064 + 2251 - 1165 = -2575 for g.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 36624 to the nearest one thousand.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + 4*u + 368, -r + u - 72 = -2*u. Let b = r - -89. Solve 0*q = b*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*g + 427 - 2733 = 1006 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-28) - 48\/(-63)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-4 + 11 - 18) + -3 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1618377427?\nAnswer: 1618377427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s - 24. Let u(y) = -1. Let d = -16727 + 16745. Give d*u(g) - j(g).\nAnswer: 3*g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5 + 8 = 5*c, -2*y + 4 = 3*c. Determine z, given that -z**4 + 0 + 0*z**c - 3\/2*z**3 + 1\/2*z = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + -29. Let h = d + -16. Calculate the remainder when (-1 - -4)\/(h - -1) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000)\/sqrt(2))\/((sqrt(5)*-6 - sqrt(5))*-3))**2 + 2.\nAnswer: 1082\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -23. Suppose 4*z = 3*z - 3, -21 = -l + 5*z. Suppose 4*w - 4*u = -v + 20, 0 = -w - 2*u + l. Solve -j = -3*m - 0*j - 16, w*j = -2*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 - 1 + (3 - 4 - 9)*(4 - 6 + 12))*(-1 + 1 - 2*a)*(2*a + a - 4*a) to y + b*a + h*a**2 and give h.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9*a + 3 = -4*a, -10 = 2*a. Let n be (-21)\/(-4)*(q - 767\/(-91)). What is the third smallest value in -2, n, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + (26 - -7) + -1 + 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162660382 + -1.\nAnswer: -162660383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41496 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.1, -2\/3, -0.2, -1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehh when three letters picked without replacement from {h: 3, e: 4, y: 4, d: 6}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**8\/6720 - d**5\/60 + d**4\/12 + 4*d**2. Let h(r) be the second derivative of a(r). Find the first derivative of h(j) wrt j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21033 (base 4) to base 2.\nAnswer: 1001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from xkhxrxrxrxxxxxkx?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -2*v**5\/7 - 377668*v**4\/7 - 17829895058*v**3\/7 - 10186785016*v**2 + 40754045920*v + 1141016604800\/7 = 0.\nAnswer: -94415, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3018*w + 91. Let b be (-81)\/(-18) + 9\/6. Is v(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 238*m - 245*m - 67, -37 = 5*p + 2*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 58 = 2*l, l + 2*t = -28. Let b be (l\/(-18))\/(155\/(-60) + 3). Sort 5, -3, 11, b.\nAnswer: -3, b, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3103154 (base 7) in base 15?\nAnswer: 74d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 8. Let d = 0 + u. What is the second derivative of 5*y**5 - 4*y + 6*y - 3*y**d wrt y?\nAnswer: 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147 - 147 + 41*p**4)*(-p + p - 3*p) - 3*p**5 - 3*p**5 + 3*p**5 - p**5 - 2*p**5 + p**5 + (2 - 2 + 2*p**2)*(p - 2*p**3 - p).\nAnswer: -132*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (4 - 3)*(-2 + 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388 + -261. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120.164 rounded to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 137477 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c*i**3 + 2*c*i**2 - 2*c*i + 2*c - 6219*i**4 - i**3 - 417*i**2 wrt i?\nAnswer: 12*c - 149256*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2905 = 2*a - 2944, -5*a + 51 = 3*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p. Let n(t) = -3*t. Let h(x) = -4*x. Let s(b) = -3*h(b) + 3*n(b). Give u(s(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/5 (c) -3\/5 (d) 0.5 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -85.3 + 85. Do j and -0.1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**4 + 2165*d**3 - 4315*d**2 + 2155*d.\nAnswer: -5*d*(d - 431)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 71 divided by -15\nAnswer: -71\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, n: 1, x: 1, b: 3, u: 1}. Give prob of sequence nb.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2*p**2. Let v(s) = -s + 2397. Calculate v(i(x)).\nAnswer: 2*x**2 + 2397","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 150 - 147. Suppose -12*o + f*o + 9 = 0. Solve -3*a = i - o, a + i - 6 + 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1081 is divided by 229.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*p - 21*p + 49 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 5:22 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58 - 36. Let c = d - 12. What is the remainder when 28 is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 391?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-54)\/(-54))\/((21\/(-45))\/(-7))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lw when two letters picked without replacement from llw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 + 8 - 6 - 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 3 = -y. Suppose -13*q + 99 = -y*q. What are the prime factors of q?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -3483?\nAnswer: -3482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -559 - -1075\/2. Sort 0.3, a, 5 in increasing order.\nAnswer: a, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) -0.11 (c) 7\/4 (d) -1 (e) 6 (f) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4242 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2 - 3 + 1 - 29*h**2. Suppose -4*j - 8 = -f + 12, -3*f - j + 8 = 0. Let x(m) = m - m - f*m + 2*m. Determine x(r(s)).\nAnswer: 58*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9101 + 0?\nAnswer: 9101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61748895?\nAnswer: 3, 5, 13, 316661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1))**(11\/6))**(-1\/8) assuming k is positive.\nAnswer: k**(-11\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*l - 5*l + 9*l)*(1 - l - 1) + (1 + 1 + 0 + 2 - 2 + 1 + (1 - 4 + 5)*(-4 + 2 + 1) - 2 + 2 - 2 - 4 + 0 + 1)*(-6*l + 3*l - 2*l)*(-l - 2 + 2).\nAnswer: -31*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 21*w**2 + 3*w - 48. Let b be i(21). Suppose -11*s + b*s - m = 57, 2*m = -3*s + 40. Calculate the highest common divisor of 70 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (735 - 726 + y - 3*y)*(-25 + 25 - 23*y) as f*y**2 + i + b*y and give b.\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -78236 divided by 19559?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -136, -123, -100, -67, -24?\n\"Answer: 5*z**2 - 2*z - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3496 - 3133. What is the remainder when w is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-3 - -2) + 5. Let w(n) = l - n + 1 + 0. Let o be w(-8). What is the greatest common factor of o and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of -u**6\/120 + u**3\/3 - u**2 + 3. Let o(h) be the second derivative of z(h). What is the derivative of o(d) wrt d?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2000393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 6 (c) -0.38 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/3212 and -119\/876.\nAnswer: 9636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -11*u**3 - 11*u**2 + 15*u + 11. Let h(s) be the second derivative of -s**5\/4 - s**4\/2 + 4*s**3\/3 + 3*s**2 + 610*s. Calculate 6*c(m) - 11*h(m).\nAnswer: -11*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 12*p**2 + 23*p + 13. Let k(w) = -25*w**2 - 47*w - 26. Let y(c) = 13*a(c) + 6*k(c). Is y(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 681 and -7.31.\nAnswer: -4978.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 78a7 + -730?\nAnswer: 7177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 91*y**3 - 26. Let d(x) = -18*x**3 + 5. Give 26*d(t) + 5*s(t).\nAnswer: -13*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1513 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 63?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -291, -293, -293, -291, -287, -281?\n\"Answer: m**2 - 5*m - 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 15 = -5*i, i - 11*t = -13*t + 4. Suppose -w + i = 0, -d + 4541 = -2*w - 289. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 31?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Let z(l) = 8 + 10 + 2*l**3 - l + 0*l**3 + 12*l**2. Let q(u) = u**3 + 6*u**2 - u + 9. Let h(n) = k*q(n) - 3*z(n). Calculate h(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(-1 - 6\/(-18)). What is the biggest value in -2, l, -1\/25?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**5*h**(-15))**(-2\/27)\/((h**(2\/3)\/h*h*h**(-5))\/(h**5\/h**(-5))) assuming h is positive.\nAnswer: h**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -29. Suppose 167 + 458 = r*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**2 + 1 - 7856*z**3 + 7857*z**3 - 22*z**2)*(-3*z + z + 4*z) to q*z**4 + c*z**2 + s + v*z + g*z**3 and give g.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -48*z**2 - 3*z - 284. Let v(j) = 25*j**2 + j + 142. Let p(u) = 13*v(u) + 6*x(u). Find the first derivative of p(t) wrt t.\nAnswer: 74*t - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1139 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/21930 and 53\/10548?\nAnswer: 38552940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2505*c*t**3 - 2*c*t**2 + 681*c + 1818*t**3 - 5365*t**2 wrt t.\nAnswer: -15030*c + 10908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2 + 2*s**2 + 0 - 6*s - 1. Suppose 4*u - 6*u + 12 = 0. Is i(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven halves of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-27)*((-81)\/(-6))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l = -1374. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-1\/5)*g**(-1\/12) assuming g is positive.\nAnswer: g**(67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4.954, -0.13, -12\/19?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45345 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -3*a**5\/5 + 2*a**3 - 3*a + 7. Factor o(f).\nAnswer: -3*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2300312 - 1001?\nAnswer: 2233311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + 1 + sqrt(675) + 1 + -1)*5*-5.\nAnswer: -300 + 2250*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3*-134457518\nAnswer: 403372554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 32876 divided by -3?\nAnswer: -32876\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279654 is divided by 734?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:11 PM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7622898.349 to the nearest one hundred.\nAnswer: -7622900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -43\/9037575?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/132)\/(4\/(-6)*-1).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 577, 605, 635, 667?\n\"Answer: f**2 + 25*f + 551","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 0*x + 8. Let s(j) = -j - 1. Let g be s(-5). Let z(h) = h + 1. Let b be z(g). Sort b, x, 4 in decreasing order.\nAnswer: b, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i**2 - 2. What is the least common multiple of t(-2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exxxxxxex. Give prob of sequence xx.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 0. Let h(v) = v**3 + 12*v**2 + 13*v + 26. What is the remainder when h(-11) is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i - 9. Let c(v) = v + 1. Let q(x) = 5*c(x) + z(x). Let r be 2 - (2 - 5\/1). Suppose 2*n - 6*s + 25 = -s, -3*n + s - r = 0. Calculate q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8620\/7 + 1231. What is the closest to -1.4 in 5, 2, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801 - 1793 = -v + 3*g, -5*v = 4*g - 17 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/156 + 212\/26. What is the third derivative of x*y - 255*y**2 - 28*y**3 + 225*y**2 - 8*y wrt y?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 3}. Give prob of picking 2 c.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931746789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by 62\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*-10.5.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/12 + (-3917)\/(-20). Let k = 3873\/20 - q. Let v = 7\/20 + k. What is the common denominator of 5\/6 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5878.\nAnswer: 2, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1308)\/(-872)*2\/6*-8. What is the third biggest value in l, 7, -0.272?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 104.157 - 0.157. Let p = m - 106. Which is the closest to -5? (a) 2\/3 (b) p (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8818 - 8781.964. Let z = i + -36. Let s = -1.964 - z. Which is the nearest to -4\/3? (a) -0.4 (b) s (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7522, 7554, 7588, 7624, 7662, 7702, 7744?\nAnswer: 7788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 30\/7, 0.5, -208?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -14460862134.35 - 0\nAnswer: -14460862134.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1929\/932 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 16 = -2*j - 0*r, 2*r - 16 = -5*j. Let l be 4*(3 - (-33)\/(-12)). Sort -5, j, l, -2 in ascending order.\nAnswer: -5, -2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/7, -186 in ascending order.\nAnswer: -186, -2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 10 - 11)*(0*y**5 - 2 - 2*y**5 + 4).\nAnswer: 20*y**5 - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 c when three letters picked without replacement from gcgccccgggcg?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 21 + -35. Let i = 22 + w. What is the remainder when 22 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i**3 - 355*i**2 + 5735*i + 20535 = 0. What is i?\nAnswer: -3, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*s - 332, -866 = -4*s - s + 4*c. Let z = s - -203. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -4 (b) 13 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(68) + sqrt(68) + sqrt(68)))\/(-1*sqrt(64)).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 9*u. Let j be x(9). What is the closest to 0.1 in 4\/7, 2\/59, j, 0.5?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 176*n**2 - 386*n**2 - 4 + 197*n**2. Let c(w) = -11*w**2. Calculate u(c(m)).\nAnswer: -1573*m**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 600 = -t - 2*t, 3 = -s. Calculate the common denominator of 8\/20 + t\/40 and 83\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 406540372?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1050 by -10.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.1 from -752.28.\nAnswer: -754.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**27\/(u**(-10)*u))\/((u\/u**(-37))\/(u**(1\/33)\/u)) assuming u is positive.\nAnswer: u**(-98\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -4*w + 3*n - 53 - 7, 0 = 2*n - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 34312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -20192700 to the nearest one hundred thousand.\nAnswer: -20200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.0000357 + 17. What is q rounded to 6 decimal places?\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2155 and 1.\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.82 take away 6563.39358?\nAnswer: -6561.57358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 2*x = 4. Suppose 0 = -3*n + 2*n + x. Solve 0 = -5*k + 5*y + 35, -n*k - 5*y = 3*k + 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-61*k - 89*k - 152*k + 3)*((0 + 2 + 0)*(-3 + 2 - 1) - 2 + 2 - 2) in the form s + r*k and give r.\nAnswer: 1812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**2 - 456*t - 25992 = 0. What is t?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27495*k*q**2 - 6057*k - 12*q**2 + q - 16 wrt q?\nAnswer: -54990*k - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2. Let y(r) = -32*r**2. Calculate p(y(k)).\nAnswer: 4096*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 113*w**2 - 252*w**2 + 137*w**2. Let b(t) = t**2 + 73. What is y(b(x))?\nAnswer: -2*x**4 - 292*x**2 - 10658","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 91738 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: What is prob of picking 1 h and 3 c when four letters picked without replacement from {h: 2, c: 8}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k + 15*k + 10*k - 41*k - 16*k**3.\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 625 = 40. What is the remainder when n is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 275570293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111110010011 + 111011?\nAnswer: 11111111001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2220 and 444.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*o**3*s**3 - 239*o**3*s - 17*s**3 - 14*s with respect to o.\nAnswer: 21*o**2*s**3 - 717*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6924 = f - 3*a, -5*f + f + 27711 = 3*a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 30 = -c, 5*c + 5*u = 52 - 2. Solve 0*g - c*g + 20 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 33*y**2 - 3*y + 94. What is j(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478 - 338. Suppose 0*d + 4*d - y = 0. Let f = 16 - 11. Calculate the greatest common divisor of f and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3922464 (base 12) to base 16.\nAnswer: -ab8e0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14*(-224)\/(-48). What is the third biggest value in -5, 2, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 8*a**2 - 2*a + 17. Let j be t(-7). Let b = j - -18. Suppose 2*d - 160 = -4*y - 2*d, b = y + 3*d - 48. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - t - 2*t)*(-182268 - 4*t + 91193 + 91403 - 2*t) to d*t + g*t**2 + n and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -51*q + 52*q - 681. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1634146 (base 7) to base 11.\nAnswer: -14572a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.82 + 12. Let f = 0.08 - r. Let o be 3\/((-36)\/(-28)*(-21)\/(-6)). Which is the closest to f? (a) -1\/4 (b) o (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 8) + 20 + -18 - 49\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.10202 kilometers to nanometers.\nAnswer: 49102020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12030 (base 5) to base 10.\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*i - 230, 0 = -2*y - 59*i + 61*i + 100. Sort -4, -6, -5, y.\nAnswer: -6, -5, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n - 99. Let u be n\/4*6*1. Suppose -2*b + 4*a + 68 = 2*b, 3*a = -3*b + u. Calculate the remainder when b is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 434*q**2 + 54*q**2 - 68*q**2.\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 103, 158, 211, 262?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/(-1518)*(-3)\/2*63\/(-378)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1203 - -2526. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19905*o - 29391 = 19568*o - 6812 for o.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1308277190 divided by 155\nAnswer: 8440498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*b = 28*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a - 4. Let t be u(3). Suppose t*d - 146 = 42. Let i = d + 56. Does 25 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 71 + -38. Let m(p) = 5*p - 20. Let z be m(5). Suppose 0 = -5*g - z, -5*g + 2*g + 19 = 2*v. What is the greatest common divisor of a and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6687 - ((-34)\/204 + (-141)\/18).\nAnswer: 5, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c. Let j(p) be the first derivative of 0*p + 2\/3*p**3 + 0*p**2 + 8. Determine g(j(n)).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/59)*r*r**(-1\/25)*r assuming r is positive.\nAnswer: r**(2941\/1475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*n**2 + 5285*n**3 + 133*n**2 - 65*n**2.\nAnswer: 5285*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 24, 80, 190, 372, 644, 1024, 1530?\nAnswer: 2180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12802 is divided by 1269.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403653, -807308, -1210963, -1614618, -2018273, -2421928?\nAnswer: -2825583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 5*o + 295799 + 125405 = 0. What are the prime factors of o?\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235498412 + -18604678862\/79. Let x = i - -3852. Let y = x + -189\/632. Which is the nearest to 1? (a) 2 (b) 3\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 160138?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 388 - 160. What is the remainder when o is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35425 and 52538?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 8 < 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*c**5 + 150*c**4 - 415*c**3 - 270*c**2 + 380*c + 120 = 0.\nAnswer: -6, -1, -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25*x - 10*x + 51*x)*(1 - 1 - x**2) + 2*x - 66 - x**2 - 63 + 132 + 5*x**3.\nAnswer: -11*x**3 - x**2 + 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -642 - -913. Calculate the remainder when u is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -12. Let i = -185 + 181. What is the nearest to k in -1, i, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076146009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6 - 1 - 15)*(-3*d - 11*d + 3*d) + (1 - 4 + 4)*(-4*d + 5*d + d))*(1 + 2 - 2).\nAnswer: 112*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006113 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16475706 and 78?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-277160)\/(-1312) + (-3)\/(-4) is divided by 59?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14273 - 14125. Sort -1\/5, -2, 7, m in increasing order.\nAnswer: -2, -1\/5, 7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1377778*b**2 + 2. Let j be o(3). What is j rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/46 (b) -1\/6 (c) -0.3 (d) 2 (e) 1\/9 (f) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11884984231634 - 5?\nAnswer: -11884984231639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 44*z - 462. Determine c(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 817, 812, 807, 802?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 + 57. What is the smallest value in 0.03, -0.5, m, -0.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 465643803268 less than 57?\nAnswer: -465643803211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = -2*s + 4, -11 = s + 73*q - 77*q. Suppose -4*g = 5*h - 26, -4*h = -2*h - g. Sort -5, h, s, 0.\nAnswer: -5, s, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((-18)\/(-15))\/(6\/15). Does 3 divide (-157)\/(-5) + q\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -21. Let p(t) = -4*t + 55. Let d(b) = 17*b - 234. Let w(i) = -3*d(i) - 13*p(i). What is w(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16784, -16771, -16754, -16733, -16708, -16679?\n\"Answer: 2*t**2 + 7*t - 16793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (112\/(-21))\/((-4)\/18). Suppose -h*a + 21*a + 2760 = 0. Round a to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + n - 7 = 0. Calculate the remainder when n is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 159, 0.5, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 7. Suppose 0*f - b*n = -f + 2, 0 = -4*n. Suppose t = f*t + 2*l - 12, 3*l = 15. Solve -9 = 3*c - 2*u - t*u, 4*c - 5*u + 12 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001959523 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-24)\/(-20))\/((-36)\/440) and 43\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121554 or -121552?\nAnswer: -121554","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5809867 less than -22706?\nAnswer: 5787161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446760 is divided by 5956.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -1 - (-9 - (-24 + (4 - -12))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4*y**2 - 224*y - 216. Let m be g(57). Calculate the highest common factor of m and 28332.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 19*r**2 + 168*r - 31. Give l(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4617, 4620, 4623, 4626?\nAnswer: 4629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate v**3 - 186*v**2 + 53*v - 671442.\nAnswer: 3*v**2 - 372*v + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - x = -40. Does 6 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - 202*a + 7. Let t be g(11). What is the highest common factor of t and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + 0.4. Let q = 0.06 - 0.06. Let m = 4563.9 + -4564. Which is the closest to q? (a) -4\/7 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2936240 divided by 1156\nAnswer: -2540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiof when four letters picked without replacement from ffifoikiffikikiikffi.\nAnswer: 49\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 0.1, 41, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3727, -3691, -3613, -3463, -3211, -2827?\nAnswer: -2281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-3)\/((-9)\/12). Let x be b\/5*(0 - -1). Do x and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 6*j + 15, -3*u - 9*j - 1015 = -1003 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 49 = 5*j, 0*j + 50 = 5*j + 5*l. Let p = j - 6. Calculate the remainder when 1 is divided by (-1)\/(p\/(-1*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from {c: 1, i: 3, x: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56717.6 - -51694. What is j rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51\/8685379 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7712073*h**2 + 3523053*h?\nAnswer: -15424146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -403, -595, -771, -925, -1051, -1143, -1195?\nAnswer: -1201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 9:51 PM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (sqrt(405)*1 + sqrt(405)))*-1 - (sqrt(20) - (sqrt(500) + 3 + sqrt(20))**2).\nAnswer: 79*sqrt(5) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ifeefc. What is prob of picking 1 i, 2 e, and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/((sqrt(12)*2 + sqrt(12))*-4) + ((sqrt(14)\/sqrt(2) + 1)*6)**2)*-2.\nAnswer: -576 - 863*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -33 + 100\/3. Let r = 0.05 + 0.05. Which is the closest to x? (a) r (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}