diff --git "a/data/dm_maths/full_data_2/1179_11255.jsonl" "b/data/dm_maths/full_data_2/1179_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1179_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Solve 52*w - 19*b + 30*b - 51 = 12*b, 3 = 3*b for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 63 - 36. Which is the nearest to 0.1? (a) 1\/9 (b) y (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180608289.\nAnswer: 3, 17, 3541339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9213 times -0.04\nAnswer: -368.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 68.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2901538 and 4876.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138673072 a multiple of 5911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68936290231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 138142770602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = -z, -z - 3*o - 9 = -5*z. Let x = 6 - z. Solve 0 = 4*p - v - 13, 0 = -x*p + 2*p - 3*v - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-26)\/325 + 2268\/225. Sort p, -3, -52, -1 in ascending order.\nAnswer: -52, -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 - (-2 - 3 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 7*a - 9*a - 51024, -4*a + 85062 = 5*f. Calculate the highest common factor of 210 and f.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1 (c) -1\/3 (d) 4\/85 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1776 in -0.1, 5, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72.29 - 72. Let p = f + -0.19. Which is bigger: -12 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((-120)\/75)*288\/(-80) - -66.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27\/18 - (-203)\/(-2). Let y = 100 + r. Suppose 2*j + y*j = -2*j. Put -5, 4, j, 5 in ascending order.\nAnswer: -5, j, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 220784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6*-6*-19. Is b\/(-2)*12\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from {l: 13, d: 3, e: 3}?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180048 is divided by 650?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*r = 266. Let g = -45 - -7. Let i = r - g. Solve 3*t + i*t + b - 16 = 0, 4*t - 5*b = 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530519439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 466533770.\nAnswer: 2, 5, 1499, 31123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11194 and 60.\nAnswer: 335820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3\/15 - 1316*r**2\/15 + 95782*r\/3 + 330265568\/15 = 0.\nAnswer: -577, 496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2380004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -425460 rounded to the nearest 1000?\nAnswer: -425000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117179?\nAnswer: 37, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*n + 5*b**2 - 16614*b*n + 7*b - 91470*n - 33 wrt b?\nAnswer: 4*b*n + 10*b - 16614*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(-5 + 2 + 2)*(2*o**3 - 2*o**3 + 3*o**4).\nAnswer: -6*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-237)\/(-4))\/(0 + 18\/48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*a - 107 - 242 = -1713 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 7*w**2 + 7*w - 6. Let y be a(-8). Let i be 0*(y - 3\/2). Suppose -3*v = -i*v - 24. Solve 7 = 5*h - v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-15446 + 1)\/(((-667)\/(-46))\/(-29)).\nAnswer: 2, 5, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72910 and 1150?\nAnswer: 364550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Suppose 2*n = -2*f - g*f + 68, -2*f + 26 = 3*n. What is the remainder when 75 is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 143745 = 5*r, -5*i + 97*r - 95*r + 143759 = 0. Is i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/6*2\/(-240)*-4.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, -5, 17.\nAnswer: -5, 2, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2216*v + 104095. What is b(-47)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 5 + 9790\/(-1780).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**2 - b. Suppose -4 = -2*i - 8. Let j be s(i). Calculate the highest common divisor of 35 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f - 27*f + 5*f - 4*f - 15*f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 11.2 (c) 4 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15.869 and 64201?\nAnswer: -1018805.669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/3*(-4 - -22). Suppose -y = 3*v + 3*x, -x = -3*v + 2*v - 14. Is -16 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216683 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*f - 3*i = -155*f + 9, -i - 3 = 4*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4127 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1602 = -293*b + 8790 + 137 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 10*d**2 - 2*d - 36. Suppose 2*b - 9 = k + b, k + 13 = -b. List the prime factors of s(k).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 32 = 4*m. Let c = 46 - m. List the prime factors of 136\/c - (-4)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19870 and 3974?\nAnswer: 19870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*r + 924 = -1182 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 62 = 22. Solve -d = 2*c + 1, i*c - d = -5*d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 8:35 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2240 divided by -560?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001261223 rounded to five decimal places?\nAnswer: 0.00126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-14) + (-369)\/(-21). Let d = -2358 + 2439. What is the greatest common divisor of q and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 625 + -602403?\nAnswer: -601445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 66356 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7518.161l?\nAnswer: 7518161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/1273? (a) -2 (b) -1.2 (c) 2 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 - 2. Let j be 6\/4 - (-8)\/16. Let i be q(j). What is the third derivative of 4 - 4 - 6*h**2 + 2*h**3 + h**i wrt h?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*d + 16, -y + d - 6 = -2*d. Let z be 14\/y*(-12)\/8. Calculate the highest common divisor of z and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124595 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6113 + 6113. Let h(g) be the third derivative of 1\/160*g**5 + 0 - 1\/160*g**6 + 0*g - 20*g**2 + 0*g**4 + l*g**3. Solve h(y) = 0 for y.\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -2. Let h be ((-72)\/60)\/(o\/20). Let a be ((-4)\/((-4)\/5))\/1. Solve 3*s = a + h for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 - -b63?\nAnswer: ba0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 12*h)*(0 + 4 - 6).\nAnswer: 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-154 + 15295*u + 154 - 11523*u)*(-u**4 - 3*u**4 + 5*u**4).\nAnswer: 3772*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -634\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5\/(-200)*4*-1*14.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, f: 5, r: 1}. Give prob of sequence xfx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593583*u**3 - 1187423*u**3 + 593438*u**3.\nAnswer: -402*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 393834 is divided by 5056.\nAnswer: 4522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -25 * 0.058\nAnswer: -1.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -128, -253, -370, -473, -556, -613, -638, -625?\n\"Answer: m**3 - 2*m**2 - 126*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54557592 to 4 dps.\nAnswer: -0.5456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 489\/(-15) + (-2)\/5. Suppose -5*y = 112 + 88. Let c be r\/8 + (-5)\/y. Let j(l) = l**2 + 4*l - 4. Give j(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 32 = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 4 - 3*y + 2*y - 3 - y**2 + 0. Let o(z) = -z**3 - 6*z**2 - 6*z + 7. What is 6*b(v) - o(v)?\nAnswer: v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.93 * 966.\nAnswer: -898.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -4*r**2 + 147*r + 1096. Give s(43).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, -71, -359, -759, -1277, -1919, -2691, -3599?\n\"Answer: -p**3 - 47*p**2 - 34*p + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/24 - 9*h**2. Let w(c) = -3*c**2 - 2. Let r(p) = -35*p**2 - 25. Let u(k) = 2*r(k) - 25*w(k). Give q(u(b)).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249595 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.1 + -1.8. Let j = -4.7 - 0.3. Let u = j - -4. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 6*w - 5. Suppose 2 - 8 = -2*t - 5*u, -2*u - 13 = 3*t. Let a be o(t). Let k(h) = h**a + 67*h - 67*h. Let n(l) = 3*l. Calculate n(k(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 192, 372, 556, 744?\n\"Answer: 2*t**2 + 174*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 678*z**2 - 586*z + 3?\nAnswer: 1356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 27. Let y(f) be the third derivative of -17*f**4\/8 - f**3\/3 - 3*f**2. Let s be y(-1). What is the highest common factor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + (-3*(2 + sqrt(13)))**2 - sqrt(13)) + 1.\nAnswer: 36*sqrt(13) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d + 2*d - d)*(2*d**2 - 3*d**2 + 11*d**2)*(5*d + 4*d + 5*d) in the form q*d**3 + x*d + p*d**2 + k + b*d**4 and give b.\nAnswer: 280","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 at least as big as -33\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o - 5. Let n(w) = -4*w + 6. Suppose 75 = -41*c + 16*c. Calculate c*n(r) - 4*u(r).\nAnswer: -4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b*c*v + b*m**2*v - b*m**2 - 7*b*m*v - 12*c*m**2 + 3*c*m*v + 3*c*m + 3*m**2 wrt v?\nAnswer: 6*b*c + b*m**2 - 7*b*m + 3*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3017.51l to millilitres.\nAnswer: 3017510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 29*b**2 + 56*b - 59. Let s be o(27). Is (-3432)\/s - ((-12)\/30)\/(-1) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90879?\nAnswer: 3, 30293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14399 (base 15) to base 2\nAnswer: 1111110110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 4655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/1623 in -0.7, -2\/3, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-71)\/994 - 77745\/(-42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4099\/3 + 1367. Find h, given that 4\/9 - b*h + 2\/9*h**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-1*(2 + -1)). Let x = -15 - g. Solve x = 4*u - 9*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*f - y + 3, -4*f = -4*y. Suppose 5*a + 0*j + 2*j + 27 = 0, 0 = -2*j - 2. Sort a, f, -4 in descending order.\nAnswer: f, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*l = -t - 18, 0 = 4*t + 5*l. Suppose 2*i = -t*h + 1, 11*h = 3*i + 9*h - 11. Suppose -i*v = -v - 6. Solve -o - 5*r = -v*o + 6, -8 = 4*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 800 and 32?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2\/8 - 543*b\/8 - 8151\/4.\nAnswer: -3*(b + 38)*(b + 143)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 13?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 l, and 1 g when three letters picked without replacement from xggggjlggggegegx?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2*j + 3*j - 37 = 0, -16 = -2*z - 2*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.9? (a) 5 (b) 0.0206 (c) 0.6 (d) -0.04 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1113)\/477)\/(2\/6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*g - 12*g = -47*g - 918 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -4735?\nAnswer: -4736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*q + 264, 3*q + 197 = -m - 67. Let b be -2*2\/(-22) + (-72)\/q. Let z = -2 + 2.2. Which is bigger: b or z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 1330229\nAnswer: -532091.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*c = 10, 6*f - 278 + 377 = -15*c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 22*z - 3. Let v(y) = -y. Give r(v(f)).\nAnswer: -22*f - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12868?\nAnswer: 2, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + 5*u**2 - 4. Let w = 673 - 674. Let x(p) = -p**2. Determine w*n(j) - 5*x(j).\nAnswer: -2*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-6))\/(5\/(-18)). What is the highest common factor of 9 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyo when four letters picked without replacement from oyyyoy.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of -j**7\/5040 + 11*j**4\/12 + 17*j**2. Let f(p) be the second derivative of t(p). Let f(c) = 0. Calculate c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -22*p. Let u(r) = 3*r - 10. Let c(z) = -z + 4. Let x(g) = -5*c(g) - 2*u(g). Determine o(x(l)).\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:06 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -2\/9, 0.2, -1, 0.053?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 + 55. Let r = t - 88. What is the third smallest value in r, -3\/2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -1\/60*s**6 + 0*s**2 - 1\/40*s**5 - 6*s + 0 + 1\/12*s**3 + 1\/24*s**4. Find z such that q(z) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2882 - -0.9118. Which is the third biggest value? (a) h (b) 3 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -24 + 19*v + 50*v**2 + v - 49*v**2. Give i(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -51*d**4 + 27*d**4 + 13*d**2 + 9*d**2 wrt d?\nAnswer: -576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -732\nAnswer: -73.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**2. Let t(g) = -g**2 + 15*g - 3. Determine t(n) - 2*z(n).\nAnswer: 3*n**2 + 15*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 5*c - 5628 + 5594, -5*c + 22 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456433866 to the power of 1\/2, to the nearest integer?\nAnswer: 21364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 267771270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - z + 3. Let o be (2\/20)\/(z\/(-6)). Which is the second biggest value? (a) -5 (b) 0.3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 35*n + 8. Let g(x) = -18*x - 4. Let c(i) = 2*f(i) + 5*g(i). Let d be c(-2). Does 12 divide (d\/15)\/((-2)\/(-55))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 7. Suppose -f = -3*n + 20. What is the greatest common factor of 98 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -14274*u - 305. Let w(g) = 140*g + 3. Determine 610*w(z) + 6*x(z).\nAnswer: -244*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10404373?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r**3 + 29*r**2 - 16*r - 116. Give a(14).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309447.\nAnswer: 3, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -18. Let s = -5 - a. Suppose 5*x + s = -1. What is the nearest to 1 in x, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(2736) + 2)**2*-3.\nAnswer: -8211 + 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -442, -434, -426, -418, -410?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 5*i**4 + 205*i**3 + 200*i**2 = 0.\nAnswer: -40, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 2*h - 2. Let i be f(-4). Let t(l) = l**2 + 10*l + 3. Let s be t(i). What is the units digit of 1 - (0 - (s - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnnnnommonm.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -5*f + 3*w, 5*w = 4*f + 4*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -6. Let j = f + 7. Let z = -0.4 + 0.5. Which is the smallest value? (a) 3\/5 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -20, 54951, 146570, 274837, 439752, 641315?\n\"Answer: 18324*g**2 - g - 18343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36036, 36038, 36040, 36042, 36044, 36046?\n\"Answer: 2*n + 36034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1011704588?\nAnswer: 2, 23, 10996789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -685, 0, -4, 1, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by -5?\nAnswer: -54\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 1032?\nAnswer: 5160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 175545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7037 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 7*a + 3. Give f(4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (175\/(-50))\/(126\/84*((-14)\/36)\/(-7))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 3. Let h be o(-1). Suppose 90 = h*l - 64. What is the highest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 439, -5, -2, 1, -4 in increasing order.\nAnswer: -5, -4, -2, 1, 439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 52 (b) -0.4 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 8:31 AM?\nAnswer: 6:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 541234 divided by -270617.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvrrxrrvvrxrrxrrr. What is prob of picking 2 x, 1 v, and 1 r?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1281)\/33)\/(-1) + ((-720)\/(-88) - 8). Which is the closest to 2\/5? (a) -9 (b) v (c) -6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -5. Suppose 22 = -50*d + 52*d. Let n(z) = -1 + 3*z + 4 + 11 - d - 5*z**2. Let a(l) = 36*l**2 - 22*l - 22. What is k*a(q) - 44*n(q)?\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1719939 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -109, -1, -6, -31.\nAnswer: -109, -31, -6, -4, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:13 PM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76 and 44?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101111010100 + 1110110110001?\nAnswer: 1001100110000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*(1*sqrt(637) - sqrt(637)))**2 + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 less than -3245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 710808.36 to the nearest 1000.\nAnswer: 711000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(425)*1 + 3))**2 - 3*(sqrt(17) + (sqrt(68) - -1*sqrt(68))**2 + -2*sqrt(153)).\nAnswer: 285*sqrt(17) + 3090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 209499223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/50 and -79\/3938050.\nAnswer: 3938050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 135577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*l = -0*s - 1, -2*l + 26 = 2*s. Find o, given that 9*o + 4*o**2 + o**4 - s*o - 2*o**3 - 2*o**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -805*d**2 - 6318700*d + 6318700*d.\nAnswer: -805*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -2*f - 2, -4*j + 7*f - 3*f = 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 236484.36 hours?\nAnswer: 9853.515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**2 - 1\/60*m**5 + 0 + 0*m**4 + 0*m + 0*m**3. Let z(d) = -21*d. Calculate o(z(n)).\nAnswer: -441*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -34138842 to the nearest 10000.\nAnswer: -34140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3*w - 14 + 2 = -2 + 10, -42*m + 6*w + 92 = 7*w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 - ((-2119)\/429 + 54\/(-891))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -20. Let u(t) = -2*t**2 - 11*t - 9. Let c(h) = h. Let l(i) = -c(i) - u(i). What is the units digit of l(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012101 + -1?\nAnswer: -1012102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10080743 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -1\/27674, -2\/5.\nAnswer: -4\/9, -2\/5, -1\/27674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 92418 times -0.4\nAnswer: -36967.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*u = -2*a + 1065*u - 16, 2*a + 4*u = 40 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 25)*(17*l - 89 + 89).\nAnswer: -391*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -6479557\nAnswer: 46\/6479557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80835 is divided by 38133?\nAnswer: 4569","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -i + 77, -21 = 2*i - 11. Suppose -2*c - 4*k = -3*c - 31, -4*c - 136 = -4*k. Does 9 divide w\/5*c\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00748 rounded to four dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337 is divided by 112.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1259657.93 and 2355643.\nAnswer: 1095985.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r + 19*r + 3732 = 0. Let f = r + -34519\/37. Which is smaller: -0.3 or f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (55\/15 + -5)*(1 - -2). Let l = 16 - 27. Let d = 32\/3 + l. What is the closest to 1 in n, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 2*w - 62, -12 - 3 = 5*w. Suppose -32 = -4*r - 5*z + 49, r - 2*z = m. What are the prime factors of r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39184646 + z - 39184646 + 78369292.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 - 9274*d + 522808. Give s(59).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j**2 + 3*j - 6. Let u(y) = -9*y**2 + 3*y - 7. Give 5*i(n) - 4*u(n).\nAnswer: -4*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 611, 1216, 1821, 2426?\n\"Answer: 605*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/18*16\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 562 times 11\nAnswer: 6182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t**(2\/13)*(t*((t\/t**(1\/11)*t)\/t)\/t)\/((t\/(((t*t\/(t**(-6)*t))\/t)\/t))\/t)*((t**(-2\/5))**8)**47 assuming t is positive.\nAnswer: t**(-99626\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 63 (b) 0.9164 (c) -2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*m**2 + 12*m**2 + 32*m**2 + 92 - 92 + 3*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 62, 52, 40, 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/30 - -7\/15. Suppose r + 2 = -3. Which is the closest to 0? (a) r (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*y - 3*y + 18*y + 14*y - 8*y - 3*y.\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p**2. Let w(d) = 4456142*d. Determine w(g(v)).\nAnswer: 17824568*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 123*h**4 - 28*h**3 - 360*h + 33561158?\nAnswer: 492*h**3 - 84*h**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wqwquwqwwqw. What is prob of picking 1 u and 2 q?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 766*q + 1. Let h be d(-2). Let j be (-316030)\/(-208) + 3\/8. Let a = j + h. Find the common denominator of a and -69\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -938*p. Let w(i) = 77*i. Calculate w(y(v)).\nAnswer: -72226*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -391450.3.\nAnswer: -156580.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.5 + -1. Let m = 2\/465 - 188\/465. Let f = -1\/633 - -637\/2532. What is the closest to m in -2, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + -21. Solve 0 = b + 2*b + i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + -56 + 15 - (3 - 0) - 12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*d - 5, 0 = 4*i + d + 25 - 40 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -7\/557, 3, 0.5, -1 in decreasing order.\nAnswer: 3, 0.5, -7\/557, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, d: 1, q: 1, p: 1, r: 2}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -240134 + 202?\nAnswer: -238832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1309*n**4 + n**2 - 3611 wrt n.\nAnswer: 5236*n**3 + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, t: 1, d: 2, s: 8, g: 1, e: 1}. What is prob of sequence igsd?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18377 + 53943. Is 125\/50*o\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 27\/(-72) - (-21766)\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -283 and -79424.5.\nAnswer: 22477133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131779 is divided by 754?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16235)\/(-595) - ((-23)\/(-7) + -3*(-56)\/(-42))?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7851 + c + 8551 - 15680)*(-4*c**3 + 0*c**3 + 2*c**3).\nAnswer: -2*c**4 - 1444*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.43 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*q - 1631 + 2003. Suppose -3*c + 20 = -43. Suppose 4*j + 1 = c. Solve j*l + 2*o = 5*o - 2, q*l - 4*o = -8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 18*c - 54*c + 5.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*n - p, n + p + 17 = 5*n. Suppose -n*s + 48 = 255. Let x = s - -400. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 158 = 1677. Calculate the highest common factor of 62 and o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144150690 is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1779.\nAnswer: 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -913*m - 30956 = 5337*m - 180956 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -56 - -60. Suppose -8 = -k*g - 12. Let h be g\/(-3)*7\/(140\/(-12)). What is the closest to 3 in 16, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0.5 (b) 4 (c) 1747\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1338 + 5562. Is b a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -117. Suppose -5*t - o = 2*h, -5*t - 42 = -2*h - 1. Is t less than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, -10, -5, 3 in decreasing order.\nAnswer: 3, -1, -5, -10, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 8*q + 5. Give h(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10253.4863 - 10252.58116119. Let q = s + 0.17485289. Let z = -1.08 + q. Round z to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + c - 134 = 7*u, 4*c - 16 = 0. Let x be (-221)\/u + 2*-4. Let -1\/2*t**2 + x*t + 0 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 331 + -360.6. Let s = v + 3.6. Let r = 0.1 - -0.4. Which is the smallest value? (a) s (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 455 + 301 = 78*d + 30*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.089 + 0.001. What is the smallest value in 2, 0.9, -2\/13, z?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 118341394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdi when three letters picked without replacement from {s: 5, i: 2, q: 2, o: 2, u: 8, d: 1}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x**3 - 64*x**3 + 126*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 27. Suppose -7000 = o*r - 2*r. Round r to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 9 - (-1 + 3). Let c be (u\/(-3))\/(3\/(-9)). Suppose c*h - 71 = -5. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4926?\nAnswer: -14778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwjhdydy. What is prob of sequence dwy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + r = -3*r - 116, 4*t - 3*r + 199 = 0. Let h = 1 - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49054 is divided by 1536.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 280379 or 280210?\nAnswer: 280210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-337)\/(1*-1) + (100 - 103) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -23*d**3 - 3*d**2 - 4. Let y(a) = 22*a**3 + 2*a**2 + 3. Let c be 728\/78 - 12 - 2*1\/6. Determine c*y(u) - 2*q(u).\nAnswer: -20*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-3*g + g + g) + 3*g - 3*g - g)*(-146 + 3*g - g + 51).\nAnswer: -4*g**2 + 190*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -20211011001?\nAnswer: -20211010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((4 - 14) + 11)\/(3\/(-11)). What is the closest to 1 in 0.4, -0.1, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 124840*f**2 - 139483 wrt f?\nAnswer: 249680*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000001980347 to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 25 times -169\nAnswer: -4225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*(p*p**(-1\/20))\/p))\/p**23)**(-11) assuming p is positive.\nAnswer: p**(5269\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -19*n. Let l(h) = h**3 + h - 4. Determine l(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 3. Let x be v(-6). Suppose -x*n + 3*k + 297 = 0, 5*n - 317 = 2*k + 178. What is the highest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*(-3 + (-2 - -2)). Let f(i) = 4*i**3 + 8*i**3 - 13*i**3 - x*i + 3*i**2. Let v = -190 + 192. Determine f(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7*v*v*v**(-1\/2)*(v**0\/v)**(-1\/54)*((v\/v**0)\/v*v)**(2\/51)*v**(3\/7)*v**(-3\/4) assuming v is positive.\nAnswer: v**(105853\/12852)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-1 - 8) + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(132) + 3*sqrt(132) + sqrt(132)) - sqrt(132) - sqrt(132))\/sqrt(12) - -3*(sqrt(275) + 3).\nAnswer: 9 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8440135 to the nearest integer?\nAnswer: 2905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(-35))\/(39\/(-1755))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 501997651 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25556.013 months in decades?\nAnswer: 212.966775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 948206 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-6)\/(-9))\/1)\/(1\/3). Suppose -27 = 7*z - 2*z - j*a, 5*a + 15 = -4*z. Let k(h) = -h**2 - 5*h + 6. Give k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-4 + 2 + -1 - (46 + -20 + -30))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8785 + -1996. What is the hundreds digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 + 8*z**2 + 7*z + 22. Give s(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 plus 484792920652?\nAnswer: 484792920664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27734 - -2?\nAnswer: -27732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*j**3*q*z - j**3 + 14*j**2*q*z + 18*j**2*z - 3*j*z - 5 wrt q?\nAnswer: 37*j**3*z + 14*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 PM and 10:36 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from {f: 2, z: 7, i: 2}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/23))**(-2\/43)*(h\/(h\/((h\/(h\/(h*h\/h**(1\/46)))*h*h*h)\/h*h)))\/(h\/(h*h**(-5))*h) assuming h is positive.\nAnswer: h**(-2017\/1978)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (-12 - (-21 - (237 - 16)\/17))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 137 - 1 = 0. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:36 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3415 - -3420. Solve -2*v = -y + 22 - 19, n*y - 28 = -3*v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-4*k + k + k)*(161*k - 120*k - 82*k).\nAnswer: -164*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) -0.2 (c) 2\/5 (d) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -49259.\nAnswer: -3\/49259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -333619.806019 - 0.01?\nAnswer: -333619.816019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8.98 (b) 3\/5 (c) -34 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20434 and 362491?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65723320.\nAnswer: 2, 5, 13, 97, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**3 + 2*w**2 + w**3 - 2*w**3 + 6*w**3 as i*w**2 + o + q*w**3 + v*w and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from jczzzjzwjlc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 - 5*y + 3. Let p be f(3). What is the highest common factor of 60 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.81*-1272002\nAnswer: 6118329.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26395783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 4392.264 minutes?\nAnswer: 263535840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, z: 2, c: 3, r: 5}. What is prob of picking 1 d and 1 c?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32860018 and 1654?\nAnswer: 1654","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 20351 from 20441.5.\nAnswer: 90.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.43 - 275.43. Let h = v + 317.8. Let q = -43 + h. Round q to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*x - 0*q - 2*q, 5*q = 2*x. Let t(y) = -15*y. Let g be t(-1). Let m = g + x. Sort m, -4, -8 in descending order.\nAnswer: m, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 3 - 0, 3*f - 19 = r. Put -3, f, -9, -5 in increasing order.\nAnswer: -9, -5, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/sqrt(4) + 1 + 1)**2 - ((-1 + sqrt(13))*-2 + 3 + (sqrt(13) - 1*sqrt(13))).\nAnswer: 12 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**5*((w\/w**(-2\/5))\/w*w)\/w)**(2\/45))**12)**(-26) assuming w is positive.\nAnswer: w**(1248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5461 + 5461.0000006457. Round r to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 11 - (33 + 50 + 3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.79 + -26. Let a = -0.20999992 - g. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 + 5506*y\/7 + 22248.\nAnswer: -2*(y - 2781)*(y + 28)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2\/25, 3, 1, -1\/3, 3160 in increasing order.\nAnswer: -1\/3, -1\/5, -2\/25, 1, 3, 3160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-80)\/12*(-1 + -8*1). Suppose y + m = 5*y. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4032.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 143, 1, -4, 112 in decreasing order.\nAnswer: 143, 112, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -15*(11 - -1)*14\/(-21) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.41389827 + -0.58372617. Let r = 11.83 - l. What is r rounded to 5 dps?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -4*a**3\/3 - 1. Let v(g) be the second derivative of 5*g**3\/3 - 6806*g - 5. Calculate h(v(f)).\nAnswer: -400*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 45254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2463*-0.2\nAnswer: 492.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 182*d**4 + 184*d**4 - 920*d**3 + 912*d**3 - 24*d to t*d**4 + l*d**3 + u*d + a*d**2 + o and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 112 + -125. What are the prime factors of (((-455)\/14)\/a)\/((-1)\/(-78))?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**4 + 402*v**3 - 2484*v**2 + 64*v + 13248 = 0 for v.\nAnswer: -207, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000712554553 to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -3\/20*q**5 + 0*q**6 - 37*q - 1\/2*q**2 + 0 + 5\/42*q**7 + 0*q**3 + 3*q**4. Find the third derivative of z(g) wrt g.\nAnswer: 300*g**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 7:55 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*n + 343*n - 1467*n + 564*n.\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (1 + (-603640)\/(-60))\/((-5)\/(-6))?\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(2) + sqrt(2) + -1)**2 + (0 + sqrt(10)\/sqrt(5))**2 + -1 + sqrt(18)\/(sqrt(36)\/sqrt(4))*-1.\nAnswer: -5*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**6 + 257*r**4 + 227*r**2 wrt r.\nAnswer: 240*r**3 + 6168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8360 divided by 20?\nAnswer: -418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1364*n = -1393*n + 7975. Let a be (-21)\/7 - -84*2. Calculate the highest common divisor of a and n.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 8*p - 4. Let m(q) = 42*q + 248. Let s be m(-6). Calculate t(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7749 is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose 0 = -4*y - 8, -358 = -b - 3*b - d*y. What is the third derivative of 8*i**2 + b*i - 91*i - 4*i**4 + 3*i**2 wrt i?\nAnswer: -96*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -116343840 divided by 304.\nAnswer: -382710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1 - sqrt(5))**2 - sqrt(5) - sqrt(50)\/sqrt(640)) + -1 + 0.\nAnswer: 71*sqrt(5)\/8 + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/45 - 49\/90. Let r = 30 + -31. Which is smaller: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.46 + 7.06. Let q = n - 1.6. Let z = 0.38 - 0.58. What is the nearest to z in -1, 2, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 1 + -5)*1. Let j(d) = 2*d**2 - 5*d - 11. Let k(x) = x**2 - 2*x - 4. Calculate n*k(h) + 3*j(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**15\/(z*z*z**(2\/23))*(z*z\/(z\/z**(-23)))\/(z*(z\/(z**43\/z))\/z))**(-14) assuming z is positive.\nAnswer: z**(-10276\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -38a490 (base 12) in base 10?\nAnswer: -930348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3*s + 21, -1 = -s + 4*f + 5. Let o be (s - (-216)\/40)\/((-3)\/10). Solve o + 1 = m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 17*o - 41. Let q be b(5). Calculate the highest common divisor of 220 and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28*j**2*s - 194*j**2 - 12*j*s**3 wrt s?\nAnswer: 28*j**2 - 36*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 219*f**2 + 87*f.\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 - n + 1. Let a be u(-2). Let b(s) = 8*s - 1. Let v be b(a). Let w be 12\/4 - 0\/2. Put -5, v, w in decreasing order.\nAnswer: w, -5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/53? (a) 0.4 (b) 8 (c) 0.8 (d) 130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 10 + 10 + -17 + 4 - (-51 + -1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f + 853 - 853 + 3*f**2. Let d be z(3). Is (d + 1 - 0)*1*109 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 128*s**2 - 11825*s + 4380800. Let f(a) = 68*a**2 - 5912*a + 2190400. Let d(g) = -15*f(g) + 8*u(g). Factor d(q).\nAnswer: 4*(q - 740)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 74 = -4*g, 2*g - 7*g + 5*t + 115 = 0. Suppose l = 5*l - 80. Calculate the lowest common multiple of g and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.5 plus -23577.08?\nAnswer: -23567.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*z + 2 - 18 = 0, 3*l + 12 = 3*z. Let s = -1939\/9 - -215. Which is the smallest value? (a) 7 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 954\/1552 - ((-13)\/4 - -4). Let k = -1\/97 - t. Sort 0, k, 4 in descending order.\nAnswer: 4, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28 in 3\/2, -0.5, 8\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 1 - 1 + (-3*r**2 + 4*r**2 + r**2)*(r + 2 - 2) - 69 - 169*r**3 + 69 to the form p*r + b + s*r**3 + n*r**2 and give s.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.1 - 6.2. Let j = -0.7 - -1. Let h = 0.27 + 0.13. Which is the closest to -2? (a) h (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*20\/12*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4188 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6\/319 (b) 2\/19 (c) -1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r - 100 - 271 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 759 and 207?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6570, -0.0827, -2, 1?\nAnswer: -0.0827","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242)*-2*-2 - sqrt(242) - (-2 + sqrt(242)*2))*-4 - (-3 + 2*(-1*2*sqrt(242) + sqrt(242)))) + 2.\nAnswer: -22*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -17, 5, 0.824, -3\/5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1 + 8 - 10 + v**2. Let p be s(1). Which is the closest to p? (a) -4 (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6\/10 + 330\/50. Let y be 4\/x - (1196\/3)\/(-2). What is the greatest common factor of y and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - 2*w)*(-3*w**3 + 2*w**3 + 2*w**3) - 81*w**3 + w**4 - 2*w**2 + 81*w**3 to the form q*w**2 + s*w**3 + z*w**4 + f + k*w and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -21. Let q = -11 + j. Let w = 3.3 + q. Put w, 2, -2\/9 in increasing order.\nAnswer: -2\/9, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, f: 10, e: 2}. Give prob of picking 1 f and 1 e.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-10))\/((-16)\/20)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3636 by 2.\nAnswer: -1818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.42 + 6.68. Let f = 7 - i. What is the third smallest value in f, -2\/21, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1382572748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1028 and 2054.\nAnswer: 1055756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from wxwwxwww.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26140.67km to centimeters.\nAnswer: 2614067000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from uyuqqkppphup.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)*(4 - 6). Suppose 6*c = -3*a + c + 1, -4*c = -v*a + 8. Solve 3 + 1 = -a*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + 10 - (2 + 3)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5504912?\nAnswer: 2, 7, 23, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 4:32 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -69753969 > -69753970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -7 + 13 - (35 - (-19 + 34)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 + 4*m**3\/3 - 2*m**2 - 4*m\/3 + 5\/3 = 0.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 107.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 79911670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 11. Suppose 3*a = b*a - 6. Suppose -x - 50 = -3*x - 4*s, 5*x = a*s + 151. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.167 + 49.\nAnswer: 48.833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -12.6?\nAnswer: -50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**5\/5 + 6*q**4 - 22*q**3\/5 - 94*q**2\/5 + 144*q\/5 - 56\/5 = 0. Calculate q.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*h + 380 = -632. Factor -1012 - 495*q - 304*q**2 + 290*q**3 - h*q**4 - 1169*q - 12 + 2*q**5.\nAnswer: 2*(q - 8)**3*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 2:58 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**3 + 5*r**2 + 5*r. Let n = -63 - -63. Suppose n = 9*f - 11*f - 12. Let c(v) = -3*v**3 - 6*v**2 - 6*v. What is f*a(w) - 5*c(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 125056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {p: 1, h: 1, l: 2, w: 4}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 12:57 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3943\/2530 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 648\/5 + -130. What is the third smallest value in 1, -2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9.4 and 0.6.\nAnswer: 5.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13.3, 13, -15\/47.\nAnswer: -15\/47, 13, 13.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1710 divided by -6\nAnswer: -285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2120202020112 - -101112?\nAnswer: -2120201212000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5819 + -5493.1. Let o = z - 278. Let x = 48 - o. What is the closest to 0 in x, -3\/5, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 2*n + 5. Let y(j) = -j**2 - j - 6. Let s(z) = 2*i(z) + 3*y(z). Let o be s(0). What is the units digit of (3\/4)\/((-1)\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 56498538.\nAnswer: 508486842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*p + 16 - 16)*(384*p + 6 - 2 - 385*p).\nAnswer: -19*p**2 + 76*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2609, -2535, -2413, -2243?\n\"Answer: 24*d**2 + 2*d - 2635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -39. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25 + 4 + (-261)\/29. Suppose -3*d = 2*h - 50, -5*d - 2*h = -6*h - 120. Is n at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1665327 to the power of 1\/2, to the nearest integer?\nAnswer: 1290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16*13\/(-104))\/((-1)\/(-2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + g - 8. Let y = -7 - -2. Let t = y + 11. Let m be r(t). Calculate the greatest common factor of m and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:19 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 419009911 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqw when three letters picked without replacement from {w: 15, q: 3}?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 15 = -2*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j + 1. Let b(l) = 39*l**2 + 3*l + 2. Calculate -b(v) + 5*q(v).\nAnswer: -39*v**2 + 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 42 = 3*o. Suppose 0 = -301*r + 837 + 4347 - 970. Calculate the highest common divisor of o and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 15, v: 4}. Give prob of picking 2 s and 2 v.\nAnswer: 105\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168 - 16 = -38*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(275)*1 + 0 - (-3 + sqrt(275) + 1)) + 0)*4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-430)\/(-258) - (-10)\/(-6). Let l(t) be the third derivative of m*t - 1\/12*t**5 + 32*t**2 + 0 - 15\/2*t**3 - 5\/4*t**4. Factor l(j).\nAnswer: -5*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70774 - -5?\nAnswer: -70767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2. Let h(t) = -65*t - 23. Determine h(l(y)).\nAnswer: -195*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + h + 2*h)*(7*h**2 - 7*h**2 + 16*h**3)*(h + 2*h - h).\nAnswer: 32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -994551.8 to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52745355 divided by 13.\nAnswer: -4057335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 2:51 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3c0417 (base 14) to base 6\nAnswer: 112251421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 4*f + 19 = -0*f + 3, 5*f = 6*z + 10*f - 29 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7763890 is divided by 17?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 69 * -0.102692\nAnswer: -7.085748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 20*o + 17. Let h = 513 + -530. Let c(d) = 7*d + 6. Let x(l) = h*c(l) + 6*j(l). Let g(r) = r - 3*r**2 - r. Calculate g(x(v)).\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6 + -18*(-4)\/(-8). Let w(q) = -9*q - 132. Let k be w(a). Factor 21\/2*z**2 + k*z + 0.\nAnswer: 3*z*(7*z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1*(2 - 3 - 4). Differentiate 3*h - 5*h + m - 7*h**2 + 2*h with respect to h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (82*c - 3 + 52*c - 70*c)*(-7*c**3 + 7*c**3 + 8*c**4).\nAnswer: 512*c**5 - 24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 541*z + 1705 = -9115 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c**3*p - 118*c**2 - 30*c*p + 2*c - 107964*p wrt c.\nAnswer: -6*c**2*p - 236*c - 30*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 8) in base 10?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 5*s - 0*i - 10, 0 = -2*s - 5*i + 18. Let z = 0.0419 - -45.7581. Let g = z - 46. Which is the nearest to 0.1? (a) 3 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -13. Let u = 12 + r. Sort u, -1, 2 in decreasing order.\nAnswer: u, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 7 + 2)*(3*o + 2*o - 3*o) - 2*o + 3*o - 3*o.\nAnswer: -18*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3 + 15*c**2.\nAnswer: -3*c**2*(c - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 132789176*c**2 - 1102060328922436*c.\nAnswer: -4*c*(c + 16598647)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(133)*4 + (2*(sqrt(133) - -2*sqrt(133)) - sqrt(133)))\/(-3*sqrt(84)\/sqrt(3)*-6).\nAnswer: 17*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 200230869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 312225 divided by 25.\nAnswer: 12489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k**3 + 8*k**2 - 90*k - 72 = 0.\nAnswer: -3, -4\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*g = 25*g - 83*g + 29*g + 3*l - 0*l, 28*g = 23*g + 2*l + 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93224147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 837781 to the power of 1\/3, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394 or -390?\nAnswer: -394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 56815942 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32804 is divided by 1560.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*i - 3236 = 36762, -3*u + 30002 = -2*i. Round u to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -212*4\/284 - (-4 - -1). What is the third smallest value in 2, -0.1, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 26. Let r(l) = l**2 + l - 1. Let a(w) = 9*w**2 + 7*w - 7. Let d(x) = -5*a(x) + 35*r(x). What is z(d(m))?\nAnswer: -10*m**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/((-2)\/(-16)). Suppose -3*k - k = l. Suppose 0 = -4*x - d - d - 4, -3*x = d + 1. Let z(g) = g. Let o(t) = -t. Calculate k*z(j) + x*o(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -74*m**2 - 67*m**2 - 55*m**2 - 20*m**2 + (-2*m + 10 - 10)*(-5 - 2*m + 5).\nAnswer: -212*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26\/2 - (-75 - 6539)?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Let r(l) = -6*l + 2*l - l - l. Let x(z) = z. Let a(q) = 2*r(q) + 11*x(q). What is a(p(s))?\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271489 - 271489 + 11821*y - 11831*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 0 + 0)*(-3 - 1 + 3) + (3*q - 2*q - 3*q)*(-3 + 1 + 0).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -32129372 > -32129362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-i - i + 3*i) - 2 + 2*i + 2 + (3*i - 4*i + 0*i)*(-318 + 648 - 468) + (2 - 1 + 0)*(2 - 2 - i).\nAnswer: 137*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 396, 1585, 3558, 6309, 9832, 14121?\n\"Answer: -k**3 + 398*k**2 + 2*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*i + 5*i - 3*d, -5*d - 15 = -i. Let c = -179 - -177. What is the closest to i in 1, 1\/5, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y + 4. Give j(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 675704 + -3?\nAnswer: 675701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/23)\/v)\/((v\/(v\/(v*(v**(-2\/3)*v)\/v)))\/v))\/(v**(-1)*v**(-9)) assuming v is positive.\nAnswer: v**(661\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1946492049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (160 + 87 - 136)*(8*d - 2*d - 2*d).\nAnswer: 444*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 168706.341 microseconds in days?\nAnswer: 0.0000019526196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(77)*-5 - sqrt(77)) + -1*(sqrt(77)*-1 - sqrt(77)) + sqrt(77))*3)\/((-1*sqrt(275) - sqrt(11)) + (sqrt(121)*-2)\/sqrt(11)).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 60, 0.2, 7 in descending order.\nAnswer: 60, 7, 0.2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + k**2 - k + 1359. Let b be a(0). Let i(g) = -3*g + 184. Let q be i(7). Suppose 4*v = -q + b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 2. Let n(d) be the second derivative of -d**3\/6 - 3*d**2\/2 - 149*d - 1. What is 2*g(c) - 3*n(c)?\nAnswer: -c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + m + 16 = -3*h, -20 = -5*m for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 288, -2708, 4, -2 in ascending order.\nAnswer: -2708, -2, 4, 288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -167 + 311 + -78 + -1?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 - (-35 - -30 - -11)) + 6 + 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -36*a + 56. Is 42 a factor of x(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4658 is divided by 467?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(242) + 2*sqrt(242) + -1 + sqrt(242) + -2)**2 - (5 + -5*(sqrt(242) + -6*(sqrt(242) + sqrt(242) + -3 + sqrt(242))**2 - sqrt(242))).\nAnswer: -61694 + 5324*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -924, -979, -1060, -1185, -1372?\n\"Answer: -3*m**3 + 5*m**2 - 49*m - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvevvevrvrvretrtkr. Give prob of picking 1 t and 1 r.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11583 and 36.\nAnswer: 46332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zqzz when four letters picked without replacement from zzzzzzzzzzqqzzzzzqq.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 192*c + 191*c - 571*c + 185*c - 39. Give d(-16).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13916, 28788, 43660, 58532, 73404, 88276?\n\"Answer: 14872*y - 956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*n - 910 = 1963, -z + 571 = 3*n. What is the highest common factor of z and 1312?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 152*v - 1839. Give y(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 379, 4142, 14567, 34984, 68723, 119114, 189487?\nAnswer: 283172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -23646 (base 7) to base 2\nAnswer: -1100000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/2)\/((-3)\/16). Let t(d) = -d**3 - 7*d**2 + 8*d - 4. Let p be t(l). Let z be p\/10 + (-77)\/(-5). Solve 6*a - z = 3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6942476706 to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 2\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 1084*d - 60672.\nAnswer: -4*(d - 192)*(d - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 - 4\/60. Let l = -1152 + 1148. Which is the closest to p? (a) l (b) -2.6 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -500*c**3 - 17*c**2 - 3874*c + 8.\nAnswer: -3000*c - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24173666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w - 11. Let s(g) = 1. Determine 2*i(o) + 22*s(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 94791871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 2 - (-5 + 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - 32.5. Let u = h - -35.0177. Round u to three decimal places.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/((-2 - 1) + (-520)\/(-180)). What is the hundreds digit of 68\/(-6)*v\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 167128.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/4 (b) 0 (c) -2\/73 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/119)\/((-18)\/168)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/(-2))\/(462\/(-44) + 10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:18 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 d when three letters picked without replacement from {s: 4, d: 9, r: 6}.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + sqrt(13) + 0).\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 1:52 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1360669953286 - 0.1?\nAnswer: -1360669953286.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g = -26 + 36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 7569341?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 4*d - 3. Let n(v) = -13*v + 9. Let t be (7\/(-5))\/((-14)\/70). What is t*w(s) + 2*n(s)?\nAnswer: 2*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7228323 and 74808?\nAnswer: 9351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52)\/(sqrt(16)\/sqrt(4)) + (sqrt(13) - sqrt(143)\/sqrt(44)) - -4*(-4 + (sqrt(13) + -1 - sqrt(13))*5))**2 + 5.\nAnswer: -108*sqrt(13) + 5321\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -20 - (-1 + 4 - -3)) + -48 + 41.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -400.1953 - -0.08.\nAnswer: -400.1153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*16\/(-36))\/(2\/(-3)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 5*j**2 - 3*j**2 + j + 1. Let n be 2 + 4 + 6 + -8. Let k(o) = -4*o**3 - 2*o**2 - 4*o - 5. Let b(d) = n*l(d) + k(d). Calculate b(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-6*(-4*(-1*sqrt(84) - sqrt(84)) + sqrt(84)))\/((sqrt(588) + sqrt(588)*2 + sqrt(588) + sqrt(588) + sqrt(588) + sqrt(588))*-3)*-1 + 0)**2.\nAnswer: 144*sqrt(7)\/49 + 5812\/343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -7544?\nAnswer: -7541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxkxxkxxxxkkx. Give prob of sequence xkk.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/48935 and -101\/78296?\nAnswer: 391480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**3 + 337 - 2*h - 683 + 339 to d + u*h**2 + n*h**3 + v*h and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/7928 and (-18)\/(-6) - 189\/(-6).\nAnswer: 7928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**2 - z**2 + 2*z**2)*(-3*z + 5*z - z)*(-3*z**2 - 3*z**2 + 5*z**2) - 2*z**5 + 0*z**5 - 5*z**5.\nAnswer: -9*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 58 = 5*y, 44*n - 46*n - 34 = -3*y. Solve 7*p - 7 = -y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.965644 and -1.\nAnswer: 0.965644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 88 + -34. Is p a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 41?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 2\/5, 0.5, -3 in descending order.\nAnswer: 0.5, 2\/5, -3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163 = 4*n - 151 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a. Let m be q(3). Suppose m*y = -5*u + 10, -2*y - 3*y + 20 = 5*u. Sort y, -2, 3 in increasing order.\nAnswer: -2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87775 is divided by 1416?\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 1:56 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26168, 52346, 78524, 104702, 130880?\nAnswer: 157058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 326903 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*y + 32927, -104*f + 102*f + 32922 = -2*y. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0471 from -8.4.\nAnswer: -8.3529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of n**8\/420 + n**5\/40 - n**3\/6 + n**2. Let r(f) be the first derivative of y(f). Find the second derivative of r(o) wrt o.\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -13*f + 1\/28*f**5 + 1\/42*f**4 + 0 + 1\/294*f**7 + 2\/105*f**6 + 0*f**3 + 0*f**2. Solve u(l) = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -661\/6*j**2 - 6 - 140*j - 15\/2*j**5 + 107\/2*j**3 + 133\/6*j**4 = 0.\nAnswer: -2, -1, -2\/45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-7)\/21)\/((-12)\/306))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -19*a. Let d(t) = 1 - 3*t - 6*t - 6*t + 22*t. Determine d(y(x)).\nAnswer: -133*x + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2188 = -2*v - 1472. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -67, -63, -57, -49?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 96?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f + 2 - 531*f**3 + 251*f**3 + 269*f**3 to the form j*f**2 + l*f + i*f**3 + a and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10640251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8172, 8220, 8360, 8640, 9108, 9812, 10800?\n\"Answer: 8*r**3 - 2*r**2 - 2*r + 8168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**3 - 36*h**3 - 31 + 40 + 75*h**3.\nAnswer: -3*h**3 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 11*n + 1085*n**3 - 1080*n**3 + (2 - n**2 - 2)*(3*n - 4*n + 4*n) as k*n**2 + d + r*n + m*n**3 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 513 and 301473.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 97. Suppose -i + 8 = -z. Suppose -i = -3*b + 3*t, -3*b - 5*t = -0*b - 12. Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1092820 and 0.4.\nAnswer: 1092820.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + p - 988 = 0, 6*p = c - 541 - 426. What is the remainder when c is divided by 158?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01165 rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*g + 5*v - 7, 3*v = -5*g - 16. Let x be (2*-1)\/(g - -1). Suppose 3 = u, -y - 26 = -x*y - 5*u. Calculate the highest common factor of 99 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*g - 131, -4*x - 3*g + 207 = -297. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**6\/120 - b**5\/15 + 5*b**4\/24 + b**3 + 24*b**2. Determine u(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**8\/168 + 17*s**7\/105 + 131*s**6\/60 - 97*s**5\/6 + 257*s**4\/6 - 176*s**3\/3 - 5296*s**2. Let k(w) = 0. What is w?\nAnswer: -8, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/570224?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 62611.5?\nAnswer: -62606.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27959, 27965, 27975, 27989, 28007, 28029, 28055?\nAnswer: 28085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(122\/22 + -11 + 5).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + 4*w + 22*w to the form y + j*w and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 58 = 4*i, 3783*g + 5*i = 3780*g + 68 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 10, -2\/11, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-4) - 27) + -3. Let r = y - -62. Suppose -3*p + 2*p = -r. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*y + 62*y + 12. Suppose 5*w - 3*q = 2160, -2*q - 3*q - 1296 = -y*w. Suppose 4*k + w = 8*k. Does 12 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 73. Let k(i) = 3*i**2 + 221044*i. Give k(v(b)).\nAnswer: 3*b**2 - 220606*b - 16120225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -59\/644846 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.160916ug in grams?\nAnswer: 0.000000160916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2011053 (base 6) in base 3?\nAnswer: -11211010020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 7*f**2 - 11*f - 9. What is the remainder when l(-8) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 9:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i + 9. Let t be g(-8). Let s be 1 - (1 + 430*t). What is s rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 280 + 983*d - 280 - 491*d - 490*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 30, -4, -2 in increasing order.\nAnswer: -17, -4, -2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 24. Let i = -27.05 + m. Which is the nearest to 1\/3? (a) -0.3 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (-9 - -1) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-169)\/6 + (-8)\/(-48). Let l = g - -23. What is the units digit of (-13)\/(-65) + (-394)\/l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -9*p**2 - 8*p. Let w(x) = 4*x**2 + 4*x. Let y(d) = 4*r(d) + 7*w(d). What is the second derivative of y(u) wrt u?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 561 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/5)*(l\/l**3)\/l*l**(-3\/2)\/(l\/l**(5\/3)))\/(l**(-1)\/(l\/l**2))**(-6) assuming l is positive.\nAnswer: l**(-121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64 or -0.06333577?\nAnswer: -0.06333577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162725*f - 162846*f = -2178 for f.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5.12 times 2514\nAnswer: -12871.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 703?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - (sqrt(38)*1 + sqrt(38)))\/sqrt(2) + sqrt(19) + (sqrt(684) + 0 - sqrt(684))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**5 - 6*w**4 - 36*w**3 - 42*w**2 - 15*w.\nAnswer: 3*w*(w - 5)*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.6264227 millimeters?\nAnswer: 626422.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 10213, 18, -5, -10, -4 in ascending order.\nAnswer: -10, -5, -4, 18, 10213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2907150 and 420.\nAnswer: 40700100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*t = -15193 + 11593 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 3 = -2*s + 5, -244*s = -252*s - 4*q + 44 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4619000 to the nearest one hundred thousand.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*v = 8*v + 165, -3*f - 2*v = -84. Let b = 244 + -232. What is the highest common divisor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3892.12527 to the nearest 100.\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y - 16. Let a = -6 - y. Suppose 4*r - 87 = w + 11, -5*w = -a*r + 58. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 11, 0, 6.\nAnswer: 0, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6275 - 6293 = 0, 3*a - 222 = -25*f for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405)\/sqrt(5) + sqrt(9) + sqrt(9) + sqrt(45)\/sqrt(5)*6 + sqrt(9))\/(4*(sqrt(162)\/sqrt(6))\/sqrt(9)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 95384 + a?\nAnswer: 9538e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*o**2 + 0*o**2 + 5*o**2 + 8*o**2.\nAnswer: 27*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1 - -1)\/(-1) + 79. Let x = -94 + u. Let w(r) = r**3 + 14*r**2 - 34*r - 28. Let l be w(x). Solve 3*g = 2*n - 11, 4 + 3 = -g + l*n for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.47, -0.3, -5, 3, 2\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - 2*i + 11. Suppose -4*y = -0*y. Let t be n(y). Solve 0 = 3*p + 2 - t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.95363 times -2\nAnswer: 25.90726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70757*o**6*r**2 + 7*o**3*r**2 + 3497*o**2 - 2*o*r - 11*r**2 wrt o?\nAnswer: -8490840*o**3*r**2 + 42*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-15)\/(-10) - 6\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -5*s**8\/56 - 17*s**7\/42 - 3*s**5\/10 - s**4\/3 - 391*s**2 - 187*s. Find the third derivative of c(w) wrt w.\nAnswer: -600*w**3 - 1020*w**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from diodosdddiojdooodji. What is prob of sequence odi?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/(-6)*2 - 0. Let k = s + 8. Differentiate 3*v**k + 2 - 1 - 2*v**3 with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 5*k + 6*k. Suppose -i = -k*i - 9*i. Solve i*l + l - 18 = -4*r, 0 = l - 2*r + 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 100*l**2 - 419*l - 29193. What is m(92)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**4\/3 - 68102*u**3\/3 - 6615401*u**2\/3 + 2227834*u = 0. Calculate u.\nAnswer: -98, 0, 1, 68199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/55*(-15)\/(-9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, m: 6, w: 1, n: 2, j: 2}. Give prob of sequence wnja.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 31534042?\nAnswer: 31534042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 11*y**3 - 2*y**2 + 2*y - 1. Let t be v(2). Let q = t + -29. Is q a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14520 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 7*t + 18 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 787*t**4\/24 + 617*t**3\/6 + 431*t**2. Find the first derivative of u(h) wrt h.\nAnswer: 787","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 225.00249 - 225. Let u = 0.002 - b. What is u rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Suppose -1 - 1 = 2*c. What is the units digit of t(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9, 217, 581, 1077, 1699, 2441, 3297?\n\"Answer: -r**3 + 75*r**2 + 8*r - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*6*(-290)\/(-435)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2+15860.7\nAnswer: 15858.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from naxyxgd. Give prob of picking 1 x and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -6*w**2 - 6. Let n(d) be the first derivative of -d**3\/3 - d**2\/2 + 17. Let l(b) = 15*n(b) - 3*q(b). Determine v, given that l(v) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 20\/(-44) + 156\/(-286)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)\/(2\/(-324)). Suppose 0 = -m - 5*m + i. What is the highest common factor of 81 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-210))\/(-12*(-3)\/(-756)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -135 - -143. Let t be 6\/g*(-1 + (-105)\/(-81)). Which is the second biggest value? (a) 1\/4 (b) t (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 7\/(28\/(-64)). Let y(i) = 2*i**2 + 28*i + 10. Let q be y(c). Is (q - -2)\/((-4)\/1198) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 79675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 675. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -4*b - x, -5*b + 49 = -5*x + 34 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:31 AM and 4:43 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 60 = -7*j. Let s be (j\/21 - (-12)\/(-21))\/(-2). Solve -5*c = -s*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 338890 to the nearest ten thousand.\nAnswer: 340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 4*j - 8 + 5.\nAnswer: 4*j - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.5 (b) -19 (c) -1\/3 (d) -0.07 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) - (4 - (-426)\/(-10)). Let t = o - 38. Solve -t = q, a - 4*q = -2*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -n**4\/12 + n**3\/2 - n**2 + n. Let j be 126\/9 - 7 - 3. Let k be v(j). Do -11\/2 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - 8 - (271 + -276).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.177 + 0.18041. Round u to 4 dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 19*g + 525. Determine m(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 41, 92, 173, 290, 449, 656, 917?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3468*u. Let n(f) = -248*f**2. Determine r(n(t)).\nAnswer: -860064*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -67, -197, -395, -661, -995, -1397?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v**2 + 3*v)*(-v + v + 3*v)*(-v + 0*v + 5*v).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1, b: 3, t: 1, d: 1, i: 5}. What is prob of picking 1 t and 1 i?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -408*u + 401*u = -119. What is the remainder when 47 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/13)\/a)\/(a*a**32\/a)*(a*a**(-34))\/a**19)**(5\/12) assuming a is positive.\nAnswer: a**(-5515\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4645305 by -315.\nAnswer: -14747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/(84\/3) - 13807\/(-4)?\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-3 - -5) - -1 - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128706 times -0.4?\nAnswer: 451482.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 643103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -597*d**3 - d**2 + 246*d?\nAnswer: -3582*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**2 + 32*q**2 - 3 + 3.\nAnswer: 30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 3513*w**5\/10 + 3153*w**3\/2 + 8118*w. What is the second derivative of o(h) wrt h?\nAnswer: 42156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7500557 to 2 dps.\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325215 (base 6) in base 12?\nAnswer: 3680b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-14))\/((-3)\/21). Suppose -2*i - i = -p. Solve 6 = i*m - 2*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4173361732.\nAnswer: 2, 31, 43, 127, 6163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*r**2 + 21161930*r + 91422597.\nAnswer: 8*r + 21161930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -y, 5*f + 11 = -3*y - y. Suppose 4*b + 4*z - 3 = 9*z, 2*b - 3*z = f. Solve 3*l = 4*w - 7, 0 = -b*w - 2 - 2 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let c(t) = -t - 3. Suppose 2*m = m - 2*l, 3*l - 6 = 0. Let h be c(m). Which is smaller: i or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 12:09 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**3\/3 - 7*b**2\/2 - 6*b. Is 8 a factor of o(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.11 (b) -1\/2 (c) 3 (d) 2\/21 (e) -1\/351\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 121\/(-110)*((-552)\/253)\/(-8)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.9 - -3. Let v = 2 + -11\/4. Let q = 53.3 - 53. Which is the closest to j? (a) -2\/19 (b) v (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -560763, -1121535, -1682309, -2243085, -2803863?\n\"Answer: -i**2 - 560769*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35786 and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -5 + 0*s**2 - 2*s**2 + s**2 + 6*s. Let b be t(4). Let u(o) = 3 - o**2 - 4 + 5*o - 2. Give u(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -5*f**2 - 18*f + 100. Let k be q(-6). Calculate the greatest common divisor of k and 2884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341615*l**3 - 10*l**2 + 0*l**2 + 10*l**2.\nAnswer: -341615*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2400 = 22*v + 128*v. Solve 76 + 36 = v*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 11:28 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 805 + -10459\/13. Let g = 245\/52 - q. Find the common denominator of -59\/96 and g.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 90 + 86 - 4*y + 99 - 379.\nAnswer: -4*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7573480 divided by -5\nAnswer: -1514696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5 and -67\/1028.\nAnswer: 5140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 1. Let t be s(-1). Solve -2*n = t*k - 30, k = -n - 2*k + 17 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2815\/67367 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/84 and 23\/81204.\nAnswer: 568428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.9606 + -32256356?\nAnswer: -32256459.9606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67829290 divided by -13565858.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 y when four letters picked without replacement from lylllly?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u + 10. What is z(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374047.\nAnswer: 374047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4*f + 508 = -0*f, 337 = 2*o + f. Let w be o\/(-80) + 3\/5. What is the closest to 2 in w, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -9. Suppose -3*h + b*w = -95, -w - 125 = 3*h - 7*h. Suppose -g + 4*i - i = -3, 3*g - h = -2*i. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - 53. Suppose q*b = 3155 - 760. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 676 and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + o + 2 = 0, o - 3*o = -6. Let n be -11*(30\/33)\/g. Solve 14 = -n*z - 0*z + 2*r, 5*r = -z + 23 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**2 - 273*u**2 + 4276 - 4279 in the form g*u**2 + w + t*u and give g.\nAnswer: -266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52316?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cccc.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -60. Let s = d - 47. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of 2*l**6\/5 - 29*l**5\/10 - l**4\/6 + 1959*l**2 - 6916*l. What is the derivative of z(g) wrt g?\nAnswer: 48*g**3 - 174*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -0.4, 24, 1\/3 in decreasing order.\nAnswer: 24, 1\/3, -1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 70529593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 47, 60, 81, 110, 147, 192?\nAnswer: 245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 - 21 - 20 + 41.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189474 is divided by 569?\nAnswer: 566","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w. Suppose v + 24 = 5*v. Let k(i) = -7*i. Let r(q) = 7*q. Let u(d) = v*r(d) + 7*k(d). Give -5*c(t) - u(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, -10, 12, 3, -7\/4?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, -160\/69, 3, -15\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2305584 and 143\/27540?\nAnswer: 195974640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 2. Suppose p - 11 = -3*b + 6*p, -5*b - g*p = -5. Solve -3*f = 4*d - 23, -b*d - 4*f = -16 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31333, -31544, -31755, -31966, -32177, -32388?\n\"Answer: -211*g - 31122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 96.3998908 - 96.4. What is i rounded to 5 dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*p + 3*t + 49, 4*t = -2*p + 4. Suppose p*z = 3*z + 45. Suppose 11 + z = 5*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 7 = -2*b + 17, -3*h + 10 = -b. Suppose 0 = g - 5*n - 28, -26 = -3*g + h*n + 47. Solve 4 = 25*s - g*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4291693827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/11 + 11101252*h**2\/11 + 88810112*h\/11 + 177620288\/11.\nAnswer: -2*(h - 5550634)*(h + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 - 16 - 3*f**2 - 32 + 0*f**2.\nAnswer: f**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11428282807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 270 and 450?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -5*v + 18. Suppose -2*k + 42 = 2*d, -2*k = d - 51 + 14. What is the remainder when k is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1576975589?\nAnswer: 7, 225282227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -374 plus -143.823648348?\nAnswer: -517.823648348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4.194 times 0.0285\nAnswer: 0.119529","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (4 - 2) + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*h**3*u - 3*h**3 + 2509*h**2*u*y - h**2*y - h*u*y - 2*u - 395*y - 1 wrt u?\nAnswer: 3*h**3 + 2509*h**2*y - h*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose 0 = 2*f - 4*f, -c*f = 3*z + 12. Let o = 5 + z. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -3*j**3 + j**2 + j. Let q be b(-1). Let -2*h**q - 3*h**3 - h**2 + 4*h**3 = 0. Calculate h.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -2*m - 2. Let l(w) = -w + 1. Let k(q) = -i(q) + 3*l(q). Let a be k(3). Find the third derivative of 33*h**5 - 11*h**5 + 6*h**a + 26*h**2 wrt h.\nAnswer: 1320*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddbibididiiiddi. What is prob of picking 1 i and 2 d?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31568477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3954832385?\nAnswer: 5, 7, 16142173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18098508?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/40)\/((-10)\/16) - (-943)\/23575?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10043551\/49 - 6*7\/98. What is d rounded to the nearest one thousand?\nAnswer: 205000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - o**2 - 4*o + 3. Suppose -2*p - 1 = -4*i - 5, 2*p = 5*i + 7. Let k be b(p). Let v = k - -99. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5\/4 + 327*v**4\/2 + 45351*v**3\/4 + 262821*v**2 + 1849029*v + 3875508 = 0. Calculate v.\nAnswer: -91, -26, -6, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26 + 8*i**2 + 13 + 2*i**3 + 14 + 0*i**2 - 2*i to the form o + q*i + g*i**3 + z*i**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 6:33 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tuutttuuttuu. What is prob of picking 1 t and 2 u?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 + 14*d**2 - 13*d. Let o be l(13). Solve o = 5*w - n, 0 = 2*n + n for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 532805*g**2 + 532793*g**2 - 1598366*g**2 + 532757*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27404 (base 8) in base 10?\nAnswer: 12036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -7) + (-1 - -1). Solve 5*l + 0*l = h for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, v: 2, l: 7}. Give prob of sequence llll.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.04 + 6.84. What is the biggest value in 74, -7, m?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2 + 4527478*f - 5124514260121.\nAnswer: -(f - 2263739)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 263, 277, 277, 257, 211?\n\"Answer: -t**3 - t**2 + 24*t + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-2)*(32\/96)\/((-20)\/(-15))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005815 rounded to 4 dps?\nAnswer: 0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92624025?\nAnswer: 3, 5, 13, 94999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*h + 563*h - 115*h - 113*h - 110*h - 105*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6705, 13415, 20125?\nAnswer: 26835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2*r + 955, 4*o - 1941 - 1924 = -r. Suppose -y + 4*n + o = n, y + 2*n - 975 = 0. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 55?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 5*l - 70000. What is l rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.6 + 2. What is the biggest value in 5, a, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 divided by -860065\nAnswer: -19\/860065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/15 + 14*b\/15 - 104\/3 = 0. Calculate b.\nAnswer: -20, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.22 + -5.78. Let l = r - -7. Let x(z) = -z**3 - 5*z**2 + 6*z + 1. Let m be x(-6). Which is the nearest to l? (a) 6 (b) 4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8318 + -15?\nAnswer: 8303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (1 - (-5)\/7). Let p(b) = b**3 - 16*b**2 + 28. Let n be p(17). Let c = n + -953\/3. What is the closest to c in -3, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 12. Suppose 0 = -w - w + 16. Suppose -w*g**2 + 2 - b*g**3 - 2*g + 2 + 0*g + 14*g**3 = 0. Calculate g.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 121 - 225. Let v be (65\/26)\/((-3)\/(-24)). What is the remainder when 10\/4*(-5)\/(v\/g) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/9)\/(214\/(-642))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9314\/363 + -77\/3. Let s = k + -115\/726. Let b = -6.4 - -6. What is the third biggest value in 2, 5, b, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.001*-0.1\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-143*r**2 + 5550 - 2*r - 5550 + (4*r**2 - 4*r**2 + 2*r**2)*(2 - 3 + 4) + r**2 + 3*r - 3*r)*(r - r + 2*r).\nAnswer: -272*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3339 and 3765279?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -33 + 12 + 11 + 10 - 3543*r in the form m*r + h and give m.\nAnswer: -3543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**4\/6 + l**3\/3 + 2*l**2\/3 - l\/3 - 1\/2 = 0. What is l?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -3430 (b) 2 (c) 2\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 957375.6 millimeters?\nAnswer: 0.9573756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-36)\/(-3) + -3. Let g(n) = 2*n**2 - 4*n - 3. Let t be g(p). Solve -t*a + 4*a = -4 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 + 199. Let m = u - 1009\/4. Solve -15\/4*x**2 - m*x**3 - 5\/4*x**4 - 5\/4*x + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12 - 81050?\nAnswer: -81062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeleeeeeleee. What is prob of picking 2 e and 2 l?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {q: 1, f: 1, p: 1, l: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 4*v. Determine x(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m - 8*m**3 - 3*m**3 - m + m in the form z*m + h + r*m**3 + p*m**2 and give r.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3988908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2\/9*x**3 + 10\/9*x**2 - 10\/9 + 2\/9*x = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -2*n, 3*d + 3*n - 2 = -2*d. Let u be (-1)\/d*(2 - 4). Let f = u - -5. Solve y - 3*x = -0*x - f, 2*y - 4*x = -2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -982, -990, -1010, -1048, -1110, -1202, -1330, -1500?\n\"Answer: -m**3 - m - 980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4*t - 186, 8*t - 9*t - 930 = -5*d. Calculate the highest common factor of d and 9858.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12087 = 11*w + 12*w + 12869 for w.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-4 - -9) + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43 + 86*x + 10511*x**3 - 28 - 10513*x**3 - 15.\nAnswer: -2*x**3 + 86*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19136 - -19085. Suppose a + 3 + 2 = -2*i, a + 5*i = -17. Suppose a*b + 5*j = -2*b - 250, b + 50 = 5*j. Are b and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10360, -20431, -30206, -39679, -48844?\nAnswer: -57695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/2, -0.5, 841, -5, 1\/4 in decreasing order.\nAnswer: 841, 1\/4, -0.5, -5, -21\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3, 0.131, 2, -4?\nAnswer: 0.131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 2047?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 86 - 2. Suppose n = -2*n + m. Calculate the remainder when 26 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 436943.\nAnswer: 2\/436943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -382364245*c**4 + 123404*c - 220 wrt c.\nAnswer: -4588370940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*g + 7, -22*g + 11 = 3*u - 18*g. Let s be u\/((-1)\/(-889)) - (0 - -5). What is the greatest common divisor of s and 52?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(-4)*(-20)\/(-5). Let r(y) = -y**3 + 3*y**2 + 4. Let w be r(h). What is the units digit of (-2)\/w + 1 - (-412)\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, 41, 235, 627, 1283, 2269, 3651, 5495?\nAnswer: 7867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -16 + (10 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/98637 and 4\/24757887.\nAnswer: 24757887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04497 - -1.05503. Which is the nearest to -5\/56? (a) i (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j + 15. Let p be 3 + -24 + -4 - -2. Let m = p - -36. Let d be i(m). Is d less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 9 - 11. Suppose -u*q + q + 42 = 0. Let j be 5\/20 + 7\/4. Solve -4*d + 3*y - q = -3, 2*y + 2 = -j*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.804 - 1.706. Let q = o + 7. Let i = q - -0.21. Sort -2\/3, -2\/9, i.\nAnswer: -2\/3, i, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 43? (a) 1813 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r**2 + 3*r**2 + r**2)*(2*r + r**2 - r - 3*r).\nAnswer: -r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 77784 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 940 - 935. Let y = 3 - 3. Solve -f + y = -b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2221, -2227, -2233, -2239?\nAnswer: -2245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/2 + 2103*m**2\/2 - 184800*m + 183750.\nAnswer: -3*(m - 350)**2*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (760\/(-64))\/19*(-50)\/(-17). Let w = u + 8647\/2244. What is the common denominator of w and -35\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {o: 10, f: 4}.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1 - 8 + 2*h - h. Let l be t(7). Suppose 0 = -l*z + 3*z - 3. Are -2\/15 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 251044095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccuddvmgg. What is prob of picking 1 g and 2 c?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -3 + (3 + 3 - 4) - 7.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 293, 357, 417, 473, 525?\n\"Answer: -2*t**2 + 70*t + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 17.604\nAnswer: 52.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, 5, -5 in increasing order.\nAnswer: -6, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 1615908*q = 0 for q.\nAnswer: 0, 403977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from {z: 6, j: 3, f: 8, h: 1}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 15*g**2 + 78*g**2 + 5*g**2 - 29*g**2 - 11*g**2.\nAnswer: 29*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**3 + 5*k**2 + 5. Let h(u) = u + 3. Calculate the remainder when o(5) is divided by h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktkg when four letters picked without replacement from tgggkgttktkggtkg.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 2:44 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -10*q**2 - 3*q**2 + 2*q**2. Let t(z) = 2*z**2. Calculate t(j(r)).\nAnswer: 242*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22217\/6 + -3719. Let x = 48\/53435 - 118603753\/35053360. Let z = x + 49\/41. What is the common denominator of z and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-171)\/(-5))\/((-93)\/(-310)) is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*w**4 + 0*w + 2\/11*w**3 - 4\/11*w**2 + 0.\nAnswer: 2*w**2*(w - 1)*(w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l**2*u**2 - 2*l*u**2 - l - 111*u**2 wrt l?\nAnswer: 4*l*u**2 - 2*u**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 379667649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 11*q**5\/2 - 234*q**4 - 705*q**3\/2 + 19*q**2 + 132*q = 0. What is q?\nAnswer: -1, 0, 6\/11, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/22 and -37\/2011346?\nAnswer: 22124806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12 - -11) + 14058)*5?\nAnswer: 5, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.6 + 0.4. Let v = -10 - -5. Sort 0.1, v, c in descending order.\nAnswer: c, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*b = -16*c + 16*b + 19*b - 54*b + 10, -2*c + 10 = -2*b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -8*o**3 + 27*o**2 + 4*o + 1. Let z(l) = 15*l**3 - 54*l**2 - 7*l - 2. Give 11*b(p) + 6*z(p).\nAnswer: 2*p**3 - 27*p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*c - 373 = 228 - 57 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77846061 - 77845736.99677. Let t = z - 324. What is t rounded to 4 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i - 2*i. Suppose 15 + 5 = i*j. Suppose -12 = 2*l - t - t, 0 = j*l + t + 24. Sort -4, -3, l.\nAnswer: l, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in 2, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-80)\/(-8)*(-3)\/1*(-16)\/96?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4402*k**3 + 6590*k**2 - 12. Let a(j) = -1761*j**3 - 2636*j**2 + 5. Let l(p) = 12*a(p) + 5*w(p). Find the third derivative of l(t) wrt t.\nAnswer: 5268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20521 + 20982. Calculate the remainder when v is divided by 442.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*n + a = 63*n - 15, 7 = -2*a - 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-9))\/((-4)\/30). Suppose 3*c - 16 = c. Let q = k + c. 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 prob of sequence ijy when three letters picked without replacement from {j: 1, y: 2, w: 5, q: 1, i: 2, a: 4}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 20*y - 68*y - 0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2659.5l in millilitres?\nAnswer: 2659500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23281157 is divided by 69.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 9\/5, 24, -0.6, -2\/13?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, z: 3}. What is prob of picking 1 z and 1 v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4 + 2) + 3. Let h(l) = l**2 - 5*l + 2. Let o be h(5). What is the third derivative of -2*s**3 - s**p + o*s**3 - s**2 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43797 - -109345. What is the ten thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 196 and -0.02?\nAnswer: -3.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1723543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**2 + 9*q**2 - 2*q**2 + 3 - 3 + 2*q**2 + (0 - 3 + 2)*(q**2 + q**2 - 3*q**2) - 3*q**2 - q**2 + 3*q**2 + 2*q - 3*q**2 - 2*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -255 (base 7) to base 14\nAnswer: -9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 145.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423671.\nAnswer: 199, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of p**6\/16 + p**5\/4 + 3*p**4\/8 + p**3\/4 + p**2\/16 + 5. Determine f so that y(f) = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13536 and 111296.\nAnswer: 1001664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 121 = 5*l, -4*m = -78*l + 73*l - 44 + 173 for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31136350?\nAnswer: 2, 5, 7, 17, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 o, and 1 g when three letters picked without replacement from kgkggooggkgdggkg.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-24) - 3\/4. Let u(d) = d**2 + 4*d + 1. Let h(x) = -x**2 - x. Give t*u(n) - 2*h(n).\nAnswer: n**2 - 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 3*m - 2)*(-2*m + m - m + (3*m + 0*m - 2*m)*(-5 + 3 + 0) + 3*m + 4*m - 6*m).\nAnswer: 9*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 + 87*a - 510.\nAnswer: 3*(a - 5)*(a + 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c + 78. Let l = -76 - c. Find q such that 6*q + 1430*q**4 - 220*q**l - 345*q**3 - 26*q - 645*q**5 - 200*q**5 = 0.\nAnswer: -2\/13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24750 != 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 245\/10 - 2\/4. Let u = -15 + b. What is the lowest common multiple of u and 22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 2, 6864, 1, 13 in increasing order.\nAnswer: -5, 1, 2, 3, 13, 6864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2. Let i(m) = -2340017*m**2. Determine i(u(w)).\nAnswer: -21060153*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 0.2 (c) 2 (d) 3\/7 (e) -141\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 48 = -2*f. Let n = 3247 + -3163. Calculate the greatest common factor of n and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 90.26132l?\nAnswer: 90261.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2 + (-2401)\/392.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - (-52 - -39 - 24).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 1\/4 (c) -29 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 2*t - 9972, 3*d - 4*t = -3*t + 7474. Let m(s) = 2 - 18*s**2 - 2492*s + d*s. Let x(w) = -w**2. Give m(x(p)).\nAnswer: -18*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-8 - 10 - -76)) + -9?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-535)\/((1 - 4)\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -44 + b7a?\nAnswer: b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -89, -207, -361, -545, -753, -979, -1217?\nAnswer: -1461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*x**3 - 179*x**3 + 23*x**3 - 132*x**3.\nAnswer: -380*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 7. Let a be ((-28)\/(-16))\/(s\/8). Let k be (4\/a)\/((-5)\/7). What is the third biggest value in k, -1\/8, 0.1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27 + 39. Let n(h) = 5*h**2 - 15*h - 16. Let d be n(-1). Sort d, 0, 2, m.\nAnswer: 0, 2, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 17 = -z - 2, -4*z - 11 = -3*b. What is the remainder when 19 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -59538, 8, 1 in ascending order.\nAnswer: -59538, -2, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -27*a - 11. What is the units digit of p(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75 and 64900.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -141 (b) 296 (c) 1\/4 (d) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31810596?\nAnswer: 2, 3, 823, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -204. Let z = n + 256. Is (z - -8)*((-17)\/(-4) + -2) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + i = y - 4, -i = -5*y + 24. Suppose y*b + 20 = 4*x, x - 8*b - 5 = -4*b. Suppose 39 = 3*k + 5*s + 5, -x*s + 25 = 0. Solve k*v + 2*v - 20 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -17*v. Let s(q) be the third derivative of 1\/8*q**4 - 24*q**2 + 0*q**3 + 0 + 0*q. Calculate s(w(z)).\nAnswer: -51*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 9) to base 8.\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-30))\/((-6)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9588 + -9589. Is -3\/6823 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 5*r**2 + 14*r + 6. Calculate t(6).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 27. Let g be -3*-2*(-2)\/t. Solve 0 = -3*z - g - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 466?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3) + -11 + 4 + -4 + 4 + 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1312 and 34569232?\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 875858 divided by -100.\nAnswer: -437929\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*o = 930*o + 449*o - 27680 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1604*q**2 - 2189*q**2 - 1897*q**2 + 5214*q**2 - 1054*q**2.\nAnswer: -1530*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22\/33)\/(1*2\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 481 (base 10) to base 14.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 5274 = 5175 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/793 in 29, 1\/3, 68, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11110010120 + -220?\nAnswer: 11110002200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -5.6 (c) -1\/6 (d) -2865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12210.7 take away 32.9?\nAnswer: -12243.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -1, -3\/13, 7, 93, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.4132409ng?\nAnswer: 0.0000000004132409","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 0.3. Let k = -649 + 418. Let z = k + 226. Put 1, -1\/3, f, z in ascending order.\nAnswer: z, -1\/3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2197 + -4397\/2. What is the closest to 0 in -5, l, 585?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-18 - 84 - 27)*(-2*j - 1 + 1 - 4*j - 4*j + 6*j + (5 - 5 - j)*(5 + 0 - 3) - 3 + j + 3).\nAnswer: -645*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8319 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0018637774 to six decimal places.\nAnswer: 0.001864","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 q when two letters picked without replacement from {q: 17, j: 3}?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21*(-2 + (-42)\/(-18) - 0). Solve -g*n = -9*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 6*x**2 + x + 8. Let o be h(-6). Suppose w = 4 - o. Suppose 172 = 4*c - 3*y - 41, -w*c + 114 = -4*y. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -9 + 3 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1638653.\nAnswer: 1638653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/10*-1 - 1519\/(-310). Let m be (9 - 3)*1\/3. Solve d + 3*r - 7 = -3*d, g*d - 14 = -m*r for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = t - 21*f + 24*f, 2*t + 3*f + 10 = -29 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 18 - (-8 - (22 + 5))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 111?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 666 a factor of 4051944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + 4*sqrt(450) + (4*sqrt(450) + sqrt(450) - sqrt(450)))\/(-6*(2*sqrt(729) + sqrt(9))*-6).\nAnswer: 41*sqrt(2)\/684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 673*h**2 + 0*h + 39891*h**4 - 39342*h**4 + 0*h wrt h?\nAnswer: 13176*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 0 - 4*c**2 - 1\/24*c**4 + 0*c + 0*c**3. Give a(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + k + 45, 5*z = 3*z - 4*k - 80. Let b = 2 - z. What is the remainder when b is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -15, -2, 47?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*j**3*s**2*w**2 + 18*j**3*s*w**2 + 8*j**2*s**2*w**2 - 11*j*s**2*w**2 wrt j.\nAnswer: -24*s**2*w**2 + 108*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 at most as big as 1342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-2 - -1)\/((-7)\/(-1218)). Suppose -6*f - c = -195. What is the greatest common factor of f and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 8 + 6. Suppose 0 = -i*h + 3*h + 264. Suppose -6*l - h = -9*l. What is the highest common factor of 55 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 7*s**2 + 0*s**2 - 13*s**2 + 5*s**2 + 3*s**3 + 3*s to the form v*s**3 + q + g*s**2 + l*s and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 4*u - 7 = 0, 27 = 3*y - 3*u + 24 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a millimeter in nanometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 50*c = 54*c + 9, -b + c = -1 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69980241 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Let x(y) = t - y + 4 - 6. Let r(q) = 2*q**2 + 3*q - 1. Let s be (-12)\/(-15) + 6\/30. What is s*r(c) + 2*x(c)?\nAnswer: 2*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, -952, -3134, -6446, -10882, -16436?\nAnswer: -23102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 43*w**2 + 42*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30, -82, -164, -270, -394, -530, -672?\n\"Answer: n**3 - 21*n**2 + 4*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 443.7356 litres?\nAnswer: 443735.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30197407 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/7 - 51*k**2\/7 + 578*k\/7.\nAnswer: k*(k - 34)*(k - 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -359, -809, -1437, -2243, -3227, -4389?\nAnswer: -5729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 7 = -5*i. Suppose -4 = i*n - 3*n. Let l be (49\/(-14))\/(n\/2). Solve -3*h = 5*b + 17, -6*h + 5*b = -3*h + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 11. Let u = -1 - s. Let l(f) = -f**3 + 5*f**2 + 10*f - 7. What is the remainder when l(6) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41 and 139762153?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -4 - 7) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-1 + 9 - (310 - 297)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.1821144, -16 in increasing order.\nAnswer: -16, -0.1821144, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i + 4*u, -3*i = -0*i - 5*u + 5. Let j = -123 - -321. Suppose 147 + j = i*y + 5*a, -y + 57 = -5*a. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3878 is divided by 72?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(((w**(-20)\/w)\/w)\/w)*w\/(w\/(w\/(w\/w**(1\/10))))*w)\/(w**(-8)\/w)**(-42))**(-25) assuming w is positive.\nAnswer: w**(17645\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 2. What is the remainder when d(-5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*f - 6 - 4 = 0, 2*o + 2 = f. Sort o, 5, 2, -4 in increasing order.\nAnswer: -4, o, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -972766*y - 94*y**2 + 972730*y + 85*y**2.\nAnswer: -9*y**2 - 36*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -689 + 688.99999073. What is f rounded to 7 dps?\nAnswer: -0.0000093","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**3\/4 + 85*x**2\/4 + 88*x + 89 = 0.\nAnswer: -2, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21231332 + 3?\nAnswer: 21232001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1.383, -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 9:14 AM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let a = 2 - 0. Let i = -485.1 - -485. What is the closest to -1 in i, k, a?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 5 - 161. Suppose 2*f + m = 443. Let j = f - 109. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2345\/43448 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuffuuufffuufuuf. Give prob of picking 2 f.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -j - 28 + 29\/2*j**2. Is s(5) a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-14*(-9)\/87)\/(-22*(-2)\/(-11)))\nAnswer: -58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 14. Is j\/(((-3)\/1847)\/(-3)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9665.61 * 0.2\nAnswer: -1933.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374265123?\nAnswer: 3, 337, 370193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-14)*m*(m\/m**(-2\/39))\/m*m)\/(m\/m**(2\/21)*m**(2\/49)*m) assuming m is positive.\nAnswer: m**(-26552\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6374 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.1116028.\nAnswer: -0.558014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 66188371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3934, 3920, 3894, 3856, 3806, 3744?\nAnswer: 3670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54268, -14, 1, 3 in descending order.\nAnswer: 54268, 3, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4516 = -28*i + 24*i. Suppose 5*c - i = 941. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) - (6 + 71). Let u = -36 - t. Calculate the remainder when u is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 5)*(649 + 545 + 148 + 386)*(2*y - y + y).\nAnswer: 3456*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -13*g**2 - 2\/3*g**3 + 0 - 1\/4*g**4 + 0*g. What is the units digit of v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-6))\/(-19 + 1426\/69)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*d**4 - 30*d + 30*d + 2*d**4 - d**4 - 3*d**4 + (2 - 2 + d**4)*(-1 - 2 + 1) to the form g + x*d**3 + u*d**4 + c*d + m*d**2 and give u.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1104657\/294448 + -872\/239. Find the common denominator of n and 23\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379249 (base 12) in base 16?\nAnswer: -3b6919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*l - 4*l = 111*l - 193192. Calculate the smallest common multiple of l and 114.\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -f + 2*o, f + 4*f - 4*o - 479 = 0. Suppose -4*m - f = 3*v, m + 2*v = 3 - 28. Let c(k) = k**2 + 4*k + 34. Is c(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 + 4*n**4 + 0*n**4)*(n + 8 - 37 - 24).\nAnswer: n**5 - 53*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 15\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70\/(-63) - 1\/(-9). Let c be 1*(-2)\/4 - 35\/(-50). Which is smaller: r or c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 1)*(4 - 13). Put u, 5, -4, -5 in ascending order.\nAnswer: -5, -4, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1436*k + 0 + 0.\nAnswer: -1436*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 20, -45385, 5 in increasing order.\nAnswer: -45385, -3, 2, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 - 145. List the prime factors of k.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h. Let m(q) be the first derivative of -q**4\/4 + 8*q**3\/3 + 11*q**2\/2 - 6*q + 1. Let r be m(9). Let i(d) = -12 + 2*d**2 + r. What is t(i(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 - -26. Suppose -a = 4*g - 11. Let 15*m**g + 3*m**3 + 2869*m - 7 - 2845*m + 19 = 0. Calculate m.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*d**3 - 228155*d**2 + 1521735*d + 532595 = 0. What is d?\nAnswer: -15217, -1\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -85176, -170461, -255758, -341073, -426412, -511781, -597186, -682633?\n\"Answer: -w**3 - 85278*w + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (11 - (45 + -22)) + -5\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.53, 0.4, -0.3.\nAnswer: -0.53, -0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75182, -160, -3 in ascending order.\nAnswer: -75182, -160, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1617114 is divided by 152.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -58691.8 - -58792.34548. Let n = x + -109.745583. Let s = n + 9.2. Round s to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -6 - 15) + -12 + 12 + -6 - 2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(14\/62*18\/420*10).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-2 - (2 + -3))*1. Suppose 3*s = -3*r, r + 4*r - s + 18 = 0. Let f be ((3 + r)\/(-5))\/b. Is -1\/35 at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, n: 6, q: 3}. Give prob of picking 3 n and 1 z.\nAnswer: 8\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (7 - (-5 - -6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+-28.6\nAnswer: -28.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 85, 172, 289, 436, 613?\nAnswer: 820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 - 11. Let h(i) = -i + 41. What is the remainder when h(o) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 9 - 35?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o = c - 2, -3*c - 4*o + 13 = 0. Let u(s) be the third derivative of s**6\/30 - s**4\/6 - s**3\/2 + 5*s**2. What are the prime factors of u(c)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 6. Let o = g + 17.93. Let r = o + 1.07. Which is smaller: r or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:29 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 128305.76075 plus 20310?\nAnswer: 148615.76075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51)\/(-3060)*-10*(-24 - -4)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -5. Let r be d + (-2)\/1 + 5. Calculate the lowest common multiple of 22 and (-1)\/r + 67\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53, -112, -185, -278, -397, -548?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = o + 8 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + 6*u + 4. Let r be t(-9). Let g = -28 + r. Let n be (5\/(-3))\/(g\/9). Sort 4\/5, n, -2 in decreasing order.\nAnswer: 4\/5, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*u**5 + 6*u**3 - 1000*u**2 wrt u?\nAnswer: -3000*u**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((4*(sqrt(76)*-1 + sqrt(76)) - (0 + sqrt(76) + -1)) + -5)*3)**2*3.\nAnswer: -9936 - 1728*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*c = -384, -3*c = 5*j + 426 - 1414. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7598 + -0.7598. Which is the fifth smallest value? (a) -0.4 (b) -0.6 (c) -2 (d) p (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-12)*-6)\/(-1). Suppose -2*l + 14 = -34. What is the lowest common multiple of l and 2\/(-4) - ((-207)\/6 - b)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5983 + 6005. Solve -6*a + 10 = i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-424)\/(-168) - 3)\/((-24)\/(-14)). Is -1 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2372297 + 124?\nAnswer: 23723bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119.982 + -120. Let b = 59987 + -59987.0179885. Let s = o - b. What is s rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*l = -2 + 5, -6 = -4*p - 5*l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (38 + (-24 - -15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*k**2 + 8*k - 34*k**2 + 2*k**3)*(-4 + 4 - 2*k).\nAnswer: -4*k**4 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-2\/11))**23*(u\/(u\/u**(-1\/2)))**(-23)\/(u**0)**(-30) assuming u is positive.\nAnswer: u**(161\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by 148978?\nAnswer: -17\/74489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/6*780\/(-140)*(-2)\/(-3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*s + 1853390 = 192*s. Is 27 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - 3. Let n be (-2)\/5 + r\/(-10). Let i(t) = 14 - 50*t + t**2 + 0*t**2 + 51*t. Determine i(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/26 and -1\/22.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.65 - -3.65. Which is the biggest value? (a) -18 (b) o (c) 1\/7 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.3 and 23.\nAnswer: -121.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38\/(-152)*-2*(-1)\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 2*z - 11, 23 = r + r + 5*z for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -0.13. Sort l, -10, -0.4 in descending order.\nAnswer: l, -0.4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*x = 5, -8*b - 2*x = -11*b + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -3.7, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*q = 21, 5*q = 4*x + 23 - 2. Let y(b) = -b**2 - 11*b - 13. Let s be y(x). Put -2, s, 11 in decreasing order.\nAnswer: 11, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21868, 21821, 21744, 21637, 21500, 21333?\n\"Answer: -15*o**2 - 2*o + 21885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-162)\/936)\/(-9)*12.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 53, 0, 14 in decreasing order.\nAnswer: 53, 14, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 10476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78800182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33222 by 176.\nAnswer: -16611\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(2*i + 0*i - i) + (4 + 6 - 4)*(2*i - 6*i + 2*i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = -j + 2*m, 0*j = -5*j - 5*m - 415. Calculate the common denominator of -39\/14 and j\/58*(-7)\/(-5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.384*0.211827\nAnswer: 0.081341568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 + (-568)\/140)*5. Are 1 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1354085780?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27817 = -1339*m + 286*m - 1492 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8 - ((2 - -3) + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*p**2 - 3*p**2 - p**2)*(-3*p - p + 2*p)*((-5 + 4 - 2)*(1 + 4*p - 1) + p - p + 2*p) to b*p**2 + q*p**3 + g*p**4 + s*p + t and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 2. Solve s*b = -b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88.1799 + 0.0201. What is u rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -1. Let y = -6 + o. Let c(l) = 3*l**2 - 55*l + 116. Let z be c(16). Solve y = -z*p + 2 - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*x - 0*t + 4, -2*t = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 556 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1342719 (base 10) to base 8.\nAnswer: -5076377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 + -173. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 1\/12*s**4 - 1\/2*s**3 + 0 + 2*s - 3*s**2. Suppose -f = -3*f + 10. Give w(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2. Let h(z) = 68445*z + 2. Determine h(l(g)).\nAnswer: 68445*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -261 or 18833?\nAnswer: 18833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/27 - (356896\/(-1728) + 213)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 3 + (0 + 4 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**3 - 40705*k**2 - 923037?\nAnswer: -6*k**2 - 81410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116316?\nAnswer: 2, 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - l + 4. Let h be p(0). Suppose h*g + 1 + 51 = 0. Is g*2*(-14)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 210 - 631\/3. What is the fourth biggest value in 3, 29, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 - -65. Let y = m - -11. Let a(r) = 5*r - 14*r + r**2 + y + 0*r**2 + 2*r. Calculate a(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15796 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32499 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.8296 rounded to 1 decimal place?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/14 + (-10)\/35. Suppose r = 4*y - 0*y - 24. Suppose -8*t + y*t = -152. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*a**3*m + 8*a**3*w**3 - 320*a**3*w - a**2*w**3 - 103*a*m*w**2 - 5*a*w - 35*m*w**3 - 1 wrt m.\nAnswer: 8*a**3 - 103*a*w**2 - 35*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -16. Solve -l = -f*l - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118002 is divided by 356.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/44 and 73\/166.\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 715286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80 - 418*(-24)\/(-456).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 295 = -7*y. What is the remainder when y is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 84*s**2 + 1031*s - 118. Calculate b(-69).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13127906 a multiple of 1103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 77183145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 743 = 302*f - 1975 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*x + 61*x + 8696 = 4*a, 0 = 4*x. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 477*l + 22. Let o(k) = -239*k - 12. Give -11*o(i) - 6*q(i).\nAnswer: -233*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27229\/1100 - -1\/275. Let g = -7\/2617 - 1109559\/18319. Let q = 4331\/70 + g. Find the common denominator of q and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j - 4*j - 2*j)*(-3 + 2 - 1)*(-13*j + 2 - 2) to k + y*j + d*j**2 and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u**5 + 12*u**4 - 12*u**3 + 8*u**2 + 10. Let p(z) = -z**5 + z**4 - z**3 + z**2 + 1. Let q(y) = -2*n(y) + 20*p(y). Factor q(k).\nAnswer: -4*k**2*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13))**(-2\/25)\/(l**(11\/3))**(-17) assuming l is positive.\nAnswer: l**(4753\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -1\/5 (b) 2\/13 (c) -24 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -56, -165, -318, -515, -756, -1041?\nAnswer: -1370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 8*n - 2321 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 4*k + 4. Let t be -3 - (1*(-3)\/(-3) - 3). Let d(a) = 5*a**2 - a + 7. Let w(o) = o**2 + 1. Let i(r) = d(r) - 6*w(r). Give t*z(f) + 3*i(f).\nAnswer: -2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076273 times -472?\nAnswer: 36.000856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015826.\nAnswer: 2, 7, 72559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7912302\/5 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-143)\/99 - 8\/(-6))\/(137\/126999)\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (((-16)\/10)\/(-2))\/(32\/240). Let 0 + 3\/2*z**3 + 12*z**4 - g*z - 12*z**2 + 9\/2*z**5 = 0. Calculate z.\nAnswer: -2, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:47 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.5, 1\/6, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**4\/2 - 3780*t**3 + 3*t**2\/8 + 22679*t\/8 - 945 = 0. Calculate t.\nAnswer: -7560, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 4*x - 4*x)*(-2*x - 1 + 1) + x**2 - 2*x**2 + 0*x**2 + 4 + 6*x**2 - 162*x + 329*x - 166*x as q*x**2 + t + u*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -13*j**2. Let f(n) = n**2 - 4*n - 16. Let k be f(-4). Let h(s) = -5*s - 7*s - 7*s + k*s. Calculate h(r(w)).\nAnswer: 39*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2091409 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 256 - -35?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 6*q**2 - 3*q + 5. Determine k(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812*(-67)\/(-7504))\/((-1)\/(-4))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -l - b, 2*b = -4. Suppose -3*s + s = 3*y - 16000003, -3*s + 23999995 = -l*y. Round s to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*x = -17417, -2162*y = -2164*y + x + 34801. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47574496 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/11 - 4329\/(-693). Suppose -7*q = 2*p - 2*q - 32, -2*q = -5*p + 22. Is p greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6556)\/1341)\/((-24)\/432)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g - 17. Let a(d) = 5*d + 26. Let u(y) = -5*a(y) - 8*b(y). Calculate the least common multiple of 2 and u(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q**3 + 4*q**2 - 4*q - 4. Let n(w) = -2*w + 26. Let o be n(11). Let c(x) = -7*x**3 - 5*x**2 + 5*x + 5. Determine o*c(u) + 5*t(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -755 divided by 151.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 51.\nAnswer: -65\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**5\/30 - 11*f**4\/2 + 363*f**3 - 11979*f**2 - 198*f. Factor t(q).\nAnswer: 2*(q - 33)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146592 = -625*o - 125*o - 2304*o for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Suppose 3*i - 4*x = -8 - 8, g = 5*i + 4*x + 16. Let m be (-1 + 0)*(-10 - i). Solve 5*l + 14 = -2*v, m = 2*l - 2*v - 3*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -79, -332, -753, -1342, -2099, -3024?\n\"Answer: -84*b**2 - b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 - -240. Let o(p) = -p**2 + 21*p + 46. Let w be o(x). Sort w, -5, -8 in descending order.\nAnswer: w, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146326321.\nAnswer: 146326321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14.2 - -16.2. Sort 0.1, z, 0.2, 4 in decreasing order.\nAnswer: 4, z, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381632467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -35, -46, -63?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19103527 by -44119.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*w + 3*w. Let p(b) = 2 - b**2 + 1 + w*b**2. Let v(d) = -934 + 253 + 427 + 255. Determine -p(y) - v(y).\nAnswer: -y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -6*o**2 - 53*o + 30. Calculate k(-9).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**6)\/((v**(-1\/4)\/v*v)\/v))\/((v*v**(3\/4)\/v)\/v**(-4)))\/((v**0)**30)**(-13) assuming v is positive.\nAnswer: v**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 1)\/(274 + -276). Let m(q) = q**3 - 3*q**2 - 5*q. Let o be m(4). Let j = o - -6. Solve f = j*i - i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 116 = 71. Let j(u) = -27*u - 32. What is the tens digit of j(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1520681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/14*(4\/14 + (-11)\/(-231)).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3471, 3472, 3473, 3474, 3475, 3476?\nAnswer: 3477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*d, 0 = 4*p - 5*d + 8. Let u(y) be the first derivative of -1 + 4*y**2 - 2\/5*y**5 - 2*y - 4*y**p + 2*y**4. Factor u(a).\nAnswer: -2*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*o - 39*o + 7 + 18*o)*(-1 - 5 + 3).\nAnswer: 18*o - 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 73387649 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42740661?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 35539706 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 88660975 a multiple of 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/85 and -113\/850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*q = 2*h + 19*q - 27998, -41996 = -3*h - 2*q. Let t = 9557 - h. Is (1 + t\/9)\/(8\/(-12)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 (base 13) in base 7?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31\/1278 + -18\/71. Suppose 16*r - 2*g = 15*r - 9, 0 = 5*r + 5*g + 120. Calculate the common denominator of 629\/(-126) + -10*r\/(-665) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/7*g**2 + 3\/7*g**4 + 1\/7*g**3 - 60\/7*g - 16\/7.\nAnswer: (g - 4)*(g + 2)**2*(3*g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/1652258276 and -47\/16.\nAnswer: 6609033104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 124180169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-14) + -1239*240\/(-79380).\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -22, -7, 1268 in increasing order.\nAnswer: -22, -7, -1, 2, 1268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*2 + 1)*-1 + (sqrt(425) + (sqrt(425) - (-4*sqrt(425) + -1)))**2.\nAnswer: 58*sqrt(17) + 15300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 (base 11) in base 12?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1100 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 6. Let l(x) = 250*x**2 + 4*x - 5. Let k be l(n). Is (2\/(-3))\/((-14)\/k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76, -21, 5.\nAnswer: -76, -21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -543.09 - -543. Sort 1\/3, a, 3, -2 in increasing order.\nAnswer: -2, a, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 8:22 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**5 - 5*o**5 + 2*o**5 + (-o**4 - 19 - 5*o + 19)*(-4*o - 2 + 2).\nAnswer: 5*o**5 + 20*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 125*z**2 + 509*z - 903. Let r be j(-129). Factor r - o**3 + 1\/6*o**5 + 16\/3*o + 16\/3*o**2 - 5\/6*o**4.\nAnswer: o*(o - 4)**2*(o + 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475))**2 + ((sqrt(19) - (-2 + sqrt(19))) + -4)**2 - (3 + ((1 + sqrt(76))*6)**2).\nAnswer: -871 - 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 3. Suppose 38*l - 10*l - 56 = 0. What is g(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**4 + 93*c**3 + 4010 wrt c.\nAnswer: 16*c**3 + 279*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by ((-4)\/(-7) + (-1704)\/(-56))\/1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -3 + (-8 - -4) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 15 + 0 + (-152 + 1 + 6 - -2)\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/3))**(-19\/3)\/(((c*c\/c**(-2\/15))\/c)\/c**(3\/16)) assuming c is positive.\nAnswer: c**(-2201\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 1 = -x. Suppose 6 = -5*p + x. Let v = 15.2 + -15.7. Which is the closest to -2\/5? (a) p (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*y**2 + i**2 + 12*i*y**5 + 50*i*y + 4*y**5 wrt y.\nAnswer: 2*i**2 + 240*i*y**3 + 80*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 10820*k - 7645. Let s(n) = -2*n**2. Determine y(s(d)).\nAnswer: -21640*d**2 - 7645","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 564 - 396. Suppose -2*f = 4*t - 544, 2*f + 104 = 2*t - c. Is t a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -11*n**6\/6 - 13*n**2\/2 + 10. Find the second derivative of o(w) wrt w.\nAnswer: -220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*i**2*v - 205623*i**2 + 1728*i*v - 4*v wrt v?\nAnswer: -15*i**2 + 1728*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.69 - 0.31. Let v = -4.7 - w. Is -0.3 at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2217 - 3552404.7?\nAnswer: -3552404.4783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 272*n**2 + 77915*n - 295989067 wrt n.\nAnswer: 544*n + 77915","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 5*r - 4*c + 24, 3*c = 4*r - 59. Suppose -5*z + 7*d - r = 11*d, 5*z + 5*d + 15 = 0. Sort -2, -15, z in decreasing order.\nAnswer: z, -2, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -11. Let u = 21 + d. Let j = u + 0. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*((((j**(1\/16)\/j*j)\/j)\/j)\/j)\/j*j*j)**(26\/3)\/((j*j**(1\/4)\/j)\/(j*j**29\/j*j)) assuming j is positive.\nAnswer: j**(173\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10 and 37\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/2*8\/(-5). Is (o + 10)\/2 + 46 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -23*o**4\/4 - 14*o**3\/3 + o**2 + 56. What is the third derivative of f(r) wrt r?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206639 is divided by 206549.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/11)\/m*m)**(-26) assuming m is positive.\nAnswer: m**(52\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)\/j)\/j**(-5\/2)*(j\/(j\/(j**(-3)*j*j)))\/j**(2\/21))**42 assuming j is positive.\nAnswer: j**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -43.9 and 2.24?\nAnswer: -98.336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z + 0*z - z + (2 + 3 - 4)*(-2 + 2 - z) + (0 - 2 + 3)*(1 - 3 + 1)*(4*z - 3*z + 0*z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**4 - 214*x**3\/5 + 474*x**2\/5 - 346*x\/5 + 76\/5 = 0.\nAnswer: 2\/5, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:36 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*(-1)\/(-3)*(5 - 8). Suppose -x*b + 2*b = -650. Does 11 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 50 + 3*r**2 + 49 - 2*r**2 - 4*r - 3*r**3 - 145 + 68 in the form f*r**2 + y + h*r**3 + l*r and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(153) + 2 + sqrt(153) + sqrt(153) + sqrt(153) + 5 + (sqrt(153) + 2)**2 + -5.\nAnswer: 24*sqrt(17) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*y + 109, -2*y - w + 16 = -24. Calculate the lowest common multiple of 28 and 6\/y + (-330)\/(-21).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71\/2 + 1\/4*p**3 - 283\/4*p - 35*p**2 = 0 for p.\nAnswer: -1, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1081, -4331, -9747, -17329, -27077?\nAnswer: -38991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -275*g + 236*g = -195. Suppose 3*q + 4*v + 52 = 187, 2*q = 2*v + 76. Solve g*n = -5*d + n - q, 0 = -2*d + 2*n - 2 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2. Let o(g) be the first derivative of 7*g**4\/6 + 22*g + 18. Let x(p) be the first derivative of o(p). Determine x(b(w)).\nAnswer: 126*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -29*h**2 + 4*h + 30. Let j(z) = 28*z**2 - 5*z - 30. Let b(x) = 4*j(x) + 5*p(x). Differentiate b(v) wrt v.\nAnswer: -66*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4. Put -9, -2, g in ascending order.\nAnswer: -9, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 76970, 76795, 76506, 76109, 75610, 75015?\n\"Answer: t**3 - 63*t**2 + 7*t + 77025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 3. Let r = 10 + a. Suppose h - 17 = r. 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: Let q = -1524.21 + 1513. What is q rounded to zero dps?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1264792284?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*i - 4*w + 12, 4*w - 9 = i. Solve 15 = 5*q + p, -8 + 1 = -i*q - p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.38 and -10?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.13 - -0.33. Suppose 0 = -3*p + 4*p + 25. Let n be (6\/10)\/((-5)\/p). What is the closest to -1 in 0, n, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1325*o**6 - 53*o**5 + 3*o**3 + 789763*o**2.\nAnswer: 159000*o**3 - 3180*o**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 4*o**2 - 4*o - 3. Suppose 0 = -3*q - 2*q - 5, -5*q - 75 = 5*h. Let l be (-26)\/7 - (-4)\/h. Determine r(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 222 - 320. Suppose m - 638 = 2*z, 3*z + 346 = -4*m - 633. Let l = s - z. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -452c03 + 4?\nAnswer: -452bcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**6*p - 21*d**6 + d**2*p + 42*p + 3 wrt d?\nAnswer: -120*d**3*p - 2520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 742.9 to the nearest ten.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13201 + -2?\nAnswer: -13203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0 - (0 + -257). Let b be 51\/x - ((-38)\/10 - -1). Suppose 2*t = 2*u + 176, -t = b*t - u - 343. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c2 (base 13) to base 2.\nAnswer: -10111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13576, 2, 15 in ascending order.\nAnswer: 2, 15, 13576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 21*s**2.\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = -12*t - 13. Let w(y) = -y**3 - 7*y**2 - y + 4. Determine w(t).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -20296*l**2 - 473*l. Let m(w) = 86*w**2 + 2*w. Determine -473*m(q) - 2*t(q).\nAnswer: -86*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 11:55 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2}. What is prob of picking 2 y?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 0.1, 4, 0.2, -23.5, 5?\nAnswer: -23.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 1)*4)**2 + -1.\nAnswer: 32*sqrt(13) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(24\/(-32)*6 - -4). Which is the third smallest value? (a) 3 (b) -35 (c) o (d) -5 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33875 is divided by 1539.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-13)\/26 + 11\/10. Let s = -121 + 118. Which is the closest to -0.1? (a) p (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*a**3 + 17*a**3 - 61*a**3 + 99*a**3 + 8*a**3.\nAnswer: 227*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6}. Give prob of sequence ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 1. Let t(h) be the second derivative of -h**2\/2 + h. Suppose 8*c - 1982 = -1990. Calculate c*l(m) - t(m).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 9:56 AM?\nAnswer: 7:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-97)\/6)\/(20\/(-296760)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 3*u + 64. Is 28 a factor of 1 + 0 + (11 - u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1, -10, -6 in decreasing order.\nAnswer: 5, 0, -1, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -414 divided by -38\nAnswer: 207\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10554\/4 + ((-27)\/(-6))\/9?\nAnswer: 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004503603 to six decimal places.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + 5*d - 4. Let p be m(-6). Let s(x) = 6*x - 2. Is 10 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q + 9*q - 145728 = 0. Round q to the nearest one hundred.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/9 and 244\/326*((-126)\/(-294) - (-38)\/(-56))?\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 383a6 + 1?\nAnswer: 383a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -202678*a + 172476 wrt a?\nAnswer: -202678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1175124 is divided by 1368.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 111010001110100100000 (base 2) to base 14\nAnswer: 37949a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 87 = 19. Let r = -24 - z. Suppose 2*x = 3*y - r, -y - 3*y = 3*x - 36. Solve 4*t - 4 = y for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2 - q - 4. Let y be n(2). Let c(t) = -8 + 4*t + y*t - 3*t - 2*t. Calculate c(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 453*h + 41549. Give i(-70).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -10.4. Let u = v + -12.2. Put 3\/2, -1\/4, u in increasing order.\nAnswer: u, -1\/4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 57928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2721 - -2723. Solve -5*i - 13 - 2 = 2*k, -l*k + 9 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/60)\/(-2*2\/(-488)))\/(144\/(-180))?\nAnswer: -61\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 37*j - 46. What is v(38)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**4 - x**4 + 2*x**4 + (-x + x**2 + x)*(-4*x**2 + 4*x**2 - 2*x**2) + 4 - 4 - 5*x**4 - 10*x**4 - 11*x**4 + 4*x**4)*(5 + 1 - 5).\nAnswer: -23*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*f**3 - 1395*f**2 - 2073*f + 1386.\nAnswer: -3*(f + 2)*(f + 231)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 2*f - 12. Let x be o(0). Calculate the smallest common multiple of 20 and x\/(-30) - 264\/(-15).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.142889.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 + 0*t - t**3 + 2 - t**3 + 2*t in the form d*t**3 + x + s*t**2 + c*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 10)*(-17*m**2 + 30*m - 30*m) to the form j*m**2 + y + z*m and give j.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -16*p**2 - 9*p + 17. Let g(u) = -30*u**2 - 17*u + 33. Let b(i) = -6*g(i) + 11*x(i). What are the prime factors of b(-5)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a. Let p(u) = -6809784*u**2. Calculate p(k(q)).\nAnswer: -61288056*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21863?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/5, 6\/11, -7, -10, 4\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u - 1. Let p(y) = 6*y**2 - 5*y - 5. Let w(m) = p(m) - 5*v(m). Let g(l) = 2*l. Determine w(g(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 14*q**3)*((2*q - 1 + 1)*(2 - 2 + 6*q) + q - q + 2*q**2) + 0 + 2*q**5 + 0.\nAnswer: -194*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -2)*4\/(-2). Let k(n) = -5*n**2 - 1. Let j be k(b). What are the prime factors of (-455)\/j + (-2)\/3?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -30*t + 303 + 31*t - 300. Determine s(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1071204, 2142405, 3213606, 4284807, 5356008, 6427209?\nAnswer: 7498410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84021 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 543a?\nAnswer: 543b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 9 = 5*s, 7*w - 18 = -s + 27 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o - 13*o = -a + 783, 5*a + 3*o - 3903 = 0. Is 20 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5054787.\nAnswer: 3, 29, 107, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -46 + 215*q + 4 - 214*q in the form o*q + s and give s.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 116166, 116165, 116164?\n\"Answer: -z + 116167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -577*a**2 + 100*a**2 + 183*a**2 + 2*a**2 + 5*a**2 + 2*a**2 + (-2*a + 5*a - 2*a)*(0*a - 2*a + 0*a) - 2*a**2 - 3*a**2 + 3*a**2.\nAnswer: -289*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -2*u**4 + 62*u**2 + 60*u = 0?\nAnswer: -5, -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/15*(-3 + -2). Suppose 0*n + a*n = 93. Suppose 3*j = n + 23. What is the smallest common multiple of 12 and j?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2 + 3 - 32*z - 1 + 2. Let s be l(-3). Suppose 12*v - 9*v = s. Is v 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 1:38 PM and 12:30 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**3 - 11*l**2 - 3*l - 6. What is v(-6)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.02 (b) -1\/3 (c) 0.1803 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 17. Let r(v) = -6*v + a + 2*v + 6 - v + v**2. What is the units digit of r(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.1, 91, -3\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118486 is divided by 1281?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18302434 and 207.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9348580 to the nearest integer?\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155382112 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 440820 and 514290?\nAnswer: 3085740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 90 = -0*x. Suppose -15 = -3*p + 4*n, -7*n - x = -2*p - 3*n. Suppose -p*s = 18 - 783. What is s rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millennium in years?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -1.5, 4, -67, -2\/9 in ascending order.\nAnswer: -67, -2, -1.5, -2\/9, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 283741208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 6\/(-2))*113. Suppose 528*f - 512*f + 1792 = 0. Is z bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 5 = 5*z. Let m(a) = -5*a**3 - a**2 - a. Let f be m(z). Suppose 5*p - f - 6 = 0. Does 7 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -78*j + 14. Let k(p) = -p. Give k(m(v)).\nAnswer: 78*v - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s + 22. Let d(f) = f - 23. Give 3*d(q) + 2*p(q).\nAnswer: -q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 10 = -50. Is 17\/(425\/30290) + (-6)\/h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 11 = -4*b, 3*b = -3*y + 6 - 18. Sort 2, 5, 2\/21, b in ascending order.\nAnswer: 2\/21, b, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-68)\/119 - 78\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 15 = 35. Solve -4 = -2*m + g*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of c**3\/2 - 2*c**2 + 2*c. Does 10 divide x(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192237.7789 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 + 42.3. Put -13, -0.5, d in descending order.\nAnswer: d, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14063347?\nAnswer: 29, 337, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 136 and 119.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 481357 + 83388 = 5*j, 5*h - 451778 = -4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*n - 4125, 0 = -5*c - 281*n + 285*n + 20625. Which is bigger: 4126 or c?\nAnswer: 4126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(567) + -2 + -3 + (sqrt(567) - (-2*sqrt(567) + sqrt(567)))*-3 + -4))**2.\nAnswer: 810*sqrt(7) + 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.9 - 6. Let q = -96 + 96.06. What is the closest to y in q, -2\/9, 2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38072)\/2920 + (-12)\/(-20). Let z = 51533\/4818 + i. Calculate the common denominator of z and -5\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255837659 is divided by 1235.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 5*l - 5 = 0. Let z = -483 - -503. Suppose -48 = -z*c - 8. Solve -f + c*f = 4*g - l, -f - 10 = 5*g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 0*l + 0*l - 4*l - 35.\nAnswer: -5*l - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -7*v**2. Let o(m) = -290 + 4*m + 290. Calculate n(o(g)).\nAnswer: -112*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11120310212112 - 4?\nAnswer: 11120310212103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 9.5. Let u be (3\/14)\/(54\/(-72)). What is the third smallest value in s, -0.1, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/22 and 63\/101056.\nAnswer: 1111616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-20) + 4\/(-10). Let b(v) = -7*v - 4 + v**2 + 8*v + o - 3*v. Give b(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q**3 + 16*q**2 - 16*q - 16. Let h(x) = x**2 - x - 1. Suppose -7*l + 5*l = -148. Let z = l - 58. What is z*h(d) - t(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09650251274 rounded to 6 decimal places?\nAnswer: -0.096503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -360*a + 88. Let s be (-5)\/(-5)*-3*40\/30. What is the hundreds digit of p(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4988548 rounded to three decimal places?\nAnswer: -0.499","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2*257 + 5 + -3. Let d = i + 1745. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 7*u + 2*l + 56, 3*u + 4*l - 18 = 0. Suppose 0 = -24*q + u*q + 154. What is the remainder when 43 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f + 21. Let m be w(-2). Find the first derivative of 104*h + 32 - 27*h**m - 104*h wrt h.\nAnswer: -81*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90255, -180501, -270739, -360969, -451191?\nAnswer: -541405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/10*(264\/36)\/(-11)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 720431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1.9 (b) 5 (c) -2\/9 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r + 2*r)*(17*r**3 + 0*r**2 + 0*r**2)*(-4*r + 0*r + 3*r).\nAnswer: -17*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 37. Let x = 18 + u. Suppose 0 = -16*q + 339 + 77. What is the remainder when x is divided by q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-1*(5\/(-5))\/(-2)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 49*q**2 - 219*q - 11. What is k(-44)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -147*w + 44. Is j(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -3 (c) -96506 (d) 9\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 2*z**4 - 13)*((1 + 4 - 4)*(0*z - 5*z + 4*z) + 7 - 7 - z) + (3 - z - 3)*(-38 + 38 - 9*z**4).\nAnswer: 13*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 5*m - 639 + 582 = 0, 5*m = -10*o + 185 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225.09 + 225. Which is the third biggest value? (a) 0.3 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*y - 15*y - 3*y + (-5 + 1 + 2)*(3*y - 4*y - y) + 4*y + 3*y - 5*y)*(1 + 8 - 3)*(-4 + 8 - 2) to d + g*y and give g.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/108 and -113\/10.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*m**3 + 0 - 2\/3*m**4 - 784\/3*m - 168*m**2 = 0. Calculate m.\nAnswer: -14, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 9. What is the derivative of 3*r**4 + t + 2*r**3 - 2*r**3 wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a + 1. Let t(w) = -8 + 12 - 11 + 7 + 8*w. Give h(t(o)).\nAnswer: 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 580067671 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 34586 divided by 6\nAnswer: 17293\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6289033 and 1908.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34189998 is divided by 98815.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 5:34 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*o + 4*p + 235, -4*o + 2*p + 12238 - 12122 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 - 11*h**4\/24 - h**3\/3 + 12*h**2. Does 8 divide f(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**2 + 1. Let i be g(1). Suppose y - 3*a - 80 = 5*y, 2*y = -3*a - 46. Let o = i - y. Solve -4*j - 4 = h, 4*j - 2*h + 6 = o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -5 - (-817)\/152. Let l = g - 13\/56. Which is the closest to l? (a) -1 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*s - 247 + 476 - 245)*(-3 - 2 + 3) + (-3 + 5 - 3)*(-4 - 2*s + 4) in the form y + i*s and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)\/sqrt(7) + sqrt(13))*-2*3*-4)**2 + (0 + sqrt(468))**2*-4*-3.\nAnswer: 35568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jd when two letters picked without replacement from {j: 3, g: 1, d: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13*3*(-8)\/(-24). Let u(v) = v**3 + 12*v**2 - 12*v + 16. Let g be u(f). Solve g*p + 4 = -8 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/154 and 91\/4642?\nAnswer: 32494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 503404813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -64, -54, -42, -28, -12, 6?\n\"Answer: z**2 + 5*z - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.516 - 0.436. Does -3\/8 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l + 60. Let c be g(0). Let y(n) = 3*n - 3. Let b(h) = -1. Let d(w) = 9*b(w) - y(w). Let k be d(-6). What is the highest common factor of k and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 5*p + 118 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 7*k - 16. Suppose 40 = k*y - 4*y. Suppose -i + 55 = y*i. Solve -5*j = 2*x + 15, 4*x = 3*x + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -3. What is the third derivative of 11*l**v + 3*l**2 - 8*l**6 - 2*l**2 wrt l?\nAnswer: 360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -268, -1071, -2410, -4285?\nAnswer: -6696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4 + 1208*r**3 - 2260*r**2 - 42000*r.\nAnswer: -4*r*(r - 300)*(r - 7)*(r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -9 - (-14 + -62 + 57)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15462*v**2 + 7641*v**2 + 7853*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149328 divided by -4148.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24155 and 48310?\nAnswer: 48310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10945\/41 - -267. Let r be 6\/(-6)*1\/1. Is h greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvv when four letters picked without replacement from vwwwvwwwvwvwwwwwvww.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*u + 3*j - 12 = 0, u = 13*u - 9*u - 2*j + 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 3 + (-2*sqrt(468))**2 + 5 + sqrt(39)\/(sqrt(84)\/sqrt(7)).\nAnswer: sqrt(13)\/2 + 1876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 27.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20647132 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73037879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f + 22044 - 44107 - f + 21946. Give j(-29).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*b - 20800 = -518*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-56))\/(3850\/4620).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33807054 is divided by 4007.\nAnswer: 4002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -237\/3670?\nAnswer: -237\/3670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((f**2 - f**2 + 2*f**3)*(-2*f + 2*f + 2*f) - 3*f**4 + f**4 + 0*f**4)*(-3*f + f + 4*f).\nAnswer: 4*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84169 (base 14) to base 16.\nAnswer: 4dc81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**4 - 431915*m**2 + 1341530*m?\nAnswer: -12*m**2 - 863830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22259 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -0*g + 2*g + 92, g + 16 = r. Let l(n) = 22*n**2 + 2*n. Let a be l(-1). Let v = r - a. What is the closest to v in 0.2, -17, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10773 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -3)*(-4)\/8. Let l(k) = -2 + 3 - 1 + 4*k - 4. What is the least common multiple of 18 and l(p)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 107\nAnswer: 52\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-28) + (-3)\/(-4). Let g be (-172)\/8 + l\/(-2). Let t(u) = -u**2 + 2*u - 2*u - 1 + u. Let f(r) = -10*r**2 + 11*r - 11. What is g*t(o) + 2*f(o)?\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*c - 17, 4*k + 4*c = 3*c + 13. Suppose 131 = k*w + 7. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-20))\/(g*g\/(g\/g**16)*g) assuming g is positive.\nAnswer: g**(-37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13638 is divided by 101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 3 - -16 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 5*v**2 + 4*v + 307. Let u(c) = -5*c - 2. Give 3*n(k) + 7*u(k).\nAnswer: -5*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*r + 33576, 24881 = 3*r - 5*t - 333. Calculate the greatest common divisor of r and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 324 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4*x**2 - x - 23. Let b(l) = 4821*l. Give q(b(t)).\nAnswer: -92968164*t**2 - 4821*t - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1600, -3201, -4802, -6403, -8004, -9605?\n\"Answer: -1601*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 272907, 546691, 820475?\n\"Answer: 273784*d - 877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a second in milliseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -2, -5, -100454?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 109234 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01350602 rounded to 5 decimal places?\nAnswer: 0.01351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 472, 643, 528, -17, -1136, -2973?\n\"Answer: -24*f**3 + f**2 + 336*f + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/6*(-8319)\/(-295)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37858707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17380\/12)\/(-79)*6\/(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21463?\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**2 - 9*j**3 + 0*j**5 + 54*j + 1 + 0*j**4 + 0*j**6 + 7\/6*j**7. What is the second derivative of s(l) wrt l?\nAnswer: 980*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + 0*z**2 + 0*z**2)*(0 - z + 0) + 0*z**4 - z**4 + 3*z**4 + (z**4 - z**4 + z**4)*(4 - 5 + 2).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -17*g + 196. Let x be j(36). Let z = x + 416. Factor 1\/4*h**3 + 0*h - 1\/4*h**5 + 1\/4*h**2 - 1\/4*h**4 + z.\nAnswer: -h**2*(h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*m - 3*m. Let a be 80\/60*(3 - m). Solve -3*t - a = t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -2\/63, 0.21059, 0.5?\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**5 - 48*a**4 - 88*a**3 + 336*a**2 - 196*a = 0. What is a?\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 g when two letters picked without replacement from {w: 1, c: 2, q: 1, g: 3, s: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 362 = -341 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 11100?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 1381, 2573, 4247, 6517, 9497, 13301, 18043?\nAnswer: 23837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 172 - 859\/5. Let a(j) be the second derivative of -1\/75*j**6 + 0 + 2\/25*j**5 - h*j**2 - 6*j + 4\/15*j**3 - 1\/5*j**4. Find i such that a(i) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-5))\/((-2)\/(-1)). Sort -9, c, 5 in decreasing order.\nAnswer: 5, c, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 126012.\nAnswer: 3654348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.3, 10, -12.\nAnswer: -12, 2.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:43 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 3*a**2 + 9*a - 15. Let u(t) = -3*t - 27. Let g be u(-11). What is the remainder when n(g) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**3 + 10*h**2 - 131 + 134 - 16*h**2 to t*h**3 + z + x*h**2 + r*h and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (7 + 3)\/(-5) + -3 + -464. Let j = 899 + k. List the prime factors of j.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 680664958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -25*l**4\/24 - 19*l**3\/3 + 11*l**2. What is the derivative of j(x) wrt x?\nAnswer: -25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*x = 26*x - 16. What is the greatest common factor of x and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-782)\/221*-13*(-2)\/4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 11*q + 7*q)*(2*q - q + 0*q) + (-10*q - 3*q - 12*q)*(5*q + 10*q - 4*q) to k*q + o*q**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/13)*r)**(3\/8)*(r**(-13)*r)**(-4\/9) assuming r is positive.\nAnswer: r**(443\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/19074 and -52\/390201?\nAnswer: 145935174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/10)*o**(6\/7))**(2\/97) assuming o is positive.\nAnswer: o**(137\/3395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -590, -582, -560, -518, -450, -350?\n\"Answer: m**3 + m**2 - 2*m - 590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((2*sqrt(1210)*-5)\/((sqrt(500)*2 - sqrt(500) - sqrt(20))\/sqrt(10)))**2*-4.\nAnswer: -15130","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81682531?\nAnswer: 7, 29, 211, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1147 - -1148. What is the nearest to 2\/7 in 3, -1\/5, m?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 13258143, 13258142, 13258141, 13258140, 13258139, 13258138?\n\"Answer: -z + 13258144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2376)\/1089)\/((-36)\/(-27)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1.079\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (9 + -15 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16)*-5 + sqrt(4) - -6*sqrt(144))\/(-1*(sqrt(200) - (sqrt(200) + sqrt(200)*1 + sqrt(200))) - sqrt(200)*-1*4))**2*-2.\nAnswer: -81\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*b*x**3 - 40*b*x**2 - b + 4*x**3 wrt x?\nAnswer: 48*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**8\/(j*j**0)*j**15\/j*j\/(j*j**0)*j assuming j is positive.\nAnswer: j**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4230498868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-126)\/168*(-1)\/33*-8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 488 divide 147321797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lwmfrlfme. What is prob of sequence llfe?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 0.5, 2\/3 in ascending order.\nAnswer: -14, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (90\/140)\/((-6)\/(-7)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6))**(-2\/11)\/(j**2)**12)**(-15) assuming j is positive.\nAnswer: j**(3780\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, i: 6, s: 3}. Give prob of sequence ii.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*a + 70*a + 7 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*j = 69*j + 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*o**2 - 3*o**2 + 37*o**2 + (2 - 2 - 1)*(-3*o**2 + 4*o**2 + 2*o**2) to k + h*o**2 + c*o and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + -5.09. Let c be (-6)\/4*8\/48. What is the nearest to 1\/2 in c, o, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19930912 - -40888912. What is y rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168679?\nAnswer: 7, 24097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 + -29. Let x(p) = -2*p - 14. Let w be x(q). Solve -g + 3 = w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(432) + sqrt(432) + 0)*1)**2.\nAnswer: 1724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-u**2 + 3*u**2 + 0*u**2)*(-1160 + 2853 + 2291) in the form x + h*u + b*u**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-100)\/8*-86 + 4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of a**3\/6 - 5*a**2\/2 + a. Let y be q(8). What is the first derivative of 2 + 4 - 2 + 6*k**y wrt k?\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -592 + 597. Solve -4*x + i*c - c = 4, 3*c = -6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 4. Let v = -68 + 64. Let j be n(v). Let z(d) = d**2 + 2*d + 105. What are the prime factors of z(j)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 65*v = -122. Let f be (14\/(-56))\/((-2)\/8). Let z(j) = -j - 1. Let u(l) = -2*l**2 - 2*l - 2. What is f*u(o) + v*z(o)?\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 28284, -5, -7\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 11*w + 10*w + 11 = 0, 14*k - 10*k + 4*w - 7*w - 31 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0022 and -6292.\nAnswer: -6291.9978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + -1a?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 3*i)*(-14*i + 14*i + 8*i**3) + i**4 + 0*i**4 + i**4 to the form r*i**3 + u*i**2 + o + b*i**4 + h*i and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-1\/5))\/((h\/(h\/(h**(-2\/3)*h))*h)\/h*h))**41 assuming h is positive.\nAnswer: h**(287\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a**2 + 3 + 7*a**2 + 6*a + a**3 - 3*a**2. Let g be d(-7). Suppose -g = -4*b + 10. What is the closest to -1\/3 in -4, b, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05783, -0.068, -1\/4 in increasing order.\nAnswer: -1\/4, -0.068, -0.05783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0087*3.\nAnswer: 0.0261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 78*b - 57. Give m(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u = -4*u - 26. Let z(c) = 2*c**2 + 3 - 162*c + 159*c + 2*c**2 - u*c**3. Let v(o) = -2*o - o + 4 + 5*o**2 - o - 3*o**3. Give -3*v(m) + 4*z(m).\nAnswer: m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4310512 divided by 4?\nAnswer: 1077628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007804063 rounded to 4 decimal places?\nAnswer: 0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152)\/19*(4\/(-8))\/(-1)*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/55 and -53\/1360.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 186*h - 11. Let a(n) = 2. What is -5*a(s) - y(s)?\nAnswer: -186*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -13, -1, 5\/6, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 892929.1 and 0.5?\nAnswer: 446464.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 132416?\nAnswer: -132434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*b - 5*b**4 + b - 4 + 3 + 8*b as t*b**2 + o*b**4 + d*b**3 + f + j*b and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 1.5. Let l = -1057.8 + 1058. What is the nearest to d in -2, l, 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 8. Let t(v) = 6*v - 49. Give 2*a(i) - t(i).\nAnswer: -6*i + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -7614595 divided by 44015\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:06 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -78 - -81. Solve -f - 5 = j*w, -25 = 4*w + 6*f - f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p**3 + 2506*p**2 - 2010*p - 1119. Calculate s(-502).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 4 + -4 + sqrt(153) + 0)*-5*-3)**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - 3. Let j be (4\/(-6))\/((-3)\/m). What is j rounded to zero decimal places?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*(3 - 4) + 47. Suppose -6*f = -f - p. What is the remainder when 15 is divided by f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + 0 + sqrt(108))*2 + -6*2*sqrt(108) + (sqrt(108) - (sqrt(108) - sqrt(108)*-1*-2) - (-6*(sqrt(108) + 0 - sqrt(108)) - sqrt(108))))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*v - 20 + 59 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = -4*y + 201. Suppose -r = -4*a - 45, -4*r + 3 = -1. Let j = y + a. Calculate the remainder when j is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6292) - (sqrt(6292) - sqrt(6292)*-2)) + sqrt(6292))\/(sqrt(36)*1 - sqrt(4)).\nAnswer: -11*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r - 17. Let f be a(20). Let b(d) = -d**3 - d**2 + f*d**2 + 3 - 7*d**2. Determine b(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a decade in months?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h**3 - 336*h**4 + 397*h**4 - 3*h + 2*h**3 + (2*h**2 - 2*h**2 - h**2)*(h**2 + 2*h**2 - 5*h**2) as a*h**3 + i + q*h**4 + v*h**2 + u*h and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p - 15. Let o be t(12). Put 2, -2, o in decreasing order.\nAnswer: 2, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -39\/4*h - 9\/4*h**2 + 12 = 0.\nAnswer: -16\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 6:09 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 13*t**2 - 32*t - 33. Let p be j(-15). Let v = 4.3 + -4. What is the third biggest value in p, -7, v?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n**2 + 13. Let z(g) = -4*g**2 + 13. What is 3*l(j) - 4*z(j)?\nAnswer: j**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -46*a**3 + 18*a**2 - 3. Let l(c) = 96*c**3 - 39*c**2 + 6. Let z(v) = -6*l(v) - 13*w(v). What is z(2)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 0.1?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mu when two letters picked without replacement from {d: 9, m: 7, n: 2, e: 1, u: 1}?\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 81. Let q(x) = 2*x + 163. Give -13*i(y) + 6*q(y).\nAnswer: -y - 75","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1)\/y**(-10)*y**9\/((y**(-3)*y*y)\/y*y) assuming y is positive.\nAnswer: y**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -3 + (1 - 1). Let x be 23 + 0 + 2 + p. Let j(v) = 19*v**2 + 4. Let w be j(3). Calculate the greatest common factor of w and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -93\/44 or -2?\nAnswer: -93\/44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, -2, 3 in increasing order.\nAnswer: -2, -1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23772283 is divided by 119?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4215 or 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20411, 81670, 183767, 326702, 510475, 735086?\n\"Answer: 20419*c**2 + 2*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/55 - 14\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 5:43 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*g**2 - 6*g**3 - 21*g**2)*(-g**2 - g**2 + g**2) - 3*g**5 + 3*g**5 + 3*g**5 + 0*g**5 + g**5 + 2*g**5.\nAnswer: 12*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*z - 49. What is the tens digit of 456\/5 + z\/20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-9\/7)*i**(-1\/9)*(i\/i**(-2)*i)**(-44))**3 assuming i is positive.\nAnswer: i**(-10951\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -676 + 691. Calculate the remainder when 17 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-54)\/(-27) + 154\/(-90))*-6 and -26\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16634994?\nAnswer: 2, 3, 19, 337, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 6:39 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -312 - 1566 - 36292*b**3 + 127*b**4 + 36292*b**3 wrt b.\nAnswer: 508*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.25 and 84.9089.\nAnswer: 21.227225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 1. Let r(b) = -2*b + 2. Determine -5*m(o) + 3*r(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a - 68. What is w(23)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 411294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 18 = -4*t, -5*v - 36 - 3 = -2*t. Solve -t*b + 3*b + 5*u + 7 = 0, -2*b = 5*u + 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 1:28 AM?\nAnswer: 5:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -1 - -10 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17724 - 0?\nAnswer: -17724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 n when three letters picked without replacement from yoyojyhjonyooyhohoy.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b**2 - 28*b. Let c be x(-7). Solve c = 12*s - 17*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43759.193 minus -1460?\nAnswer: 45219.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -207*p*t**3 + 2*p*t**2 + 498*p*t + 2*t wrt t.\nAnswer: -1242*p*t + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4*-2)\/(24\/(-24)). Solve w + q = 0, 5 + 2 = -2*g - 5*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 269076?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - -1 - 28\/7. Let q(a) = -44*a**2 + 9*a - 9. Let s(l) = -11*l**2 + 2*l - 2. Let p(z) = x*q(z) + 18*s(z). Let b(j) = -2*j. Determine p(b(g)).\nAnswer: -88*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Let w(v) = v**2 - 2*v + 1. Let f be w(3). Suppose 4*d = 4*o + f, -1 + 5 = -2*o + d. Which is the biggest value? (a) y (b) o (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1808? (a) -5 (b) -15 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 194 - 202 = 4*i, 0 = 3*b + 5*i - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -331*g + 2. Let r be h(14). Let f be r\/15 - 4\/20. List the prime factors of f\/(-6) + 3\/(-2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/204 and 23\/4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 242369918 a multiple of 387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -261*h**3 - 750 wrt h.\nAnswer: -783*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 19 + (-3 - -8) + (-6)\/2. Let i be (80\/(-28))\/((-6)\/x). Factor -4*g**4 - i*g**3 - g**4 - 147*g + 147*g.\nAnswer: -5*g**3*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 761168 - 538808. Suppose -5*g = -22*g + k. Round g to the nearest 100.\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-152)\/741)\/(28\/42))\/(4\/(-1)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 11*f - 332 - 284 + 573. Let q be o(4). Which is smaller: -1\/143 or q?\nAnswer: -1\/143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2507?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*t + 24 = 0, -4*t = -j - 3*j. Suppose 2*u = -0*u + 4*l + 78, 3*u = -j*l + 117. Suppose -y + u = s, -3*s = -5*s + y + 66. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5 + 240*k**4 - 57908*k**3 + 1115616*k**2 - 5358080*k = 0?\nAnswer: -161, 0, 8, 13, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4*q + 20, -2*p - 11*q + 8*q + 15 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10881 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2 + 3*q + 7. Let s be h(3). Let v be (-12)\/s*(-4)\/(-12). Let j(c) = -6*c + 1 - 3*c**v + 5*c**2 - c**2. Give j(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from uullll?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 - 6 + 252*b + 11*b**2 - 36 - 521*b + 254*b. Is 12 a factor of h(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 210 - 207. What is the biggest value in -20, a, 1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 23.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2920 = 2919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/10437 and -74\/2415?\nAnswer: 1200255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-2\/29))**(-16\/3) assuming p is positive.\nAnswer: p**(-32\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4597?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/28*217\/62 + -49.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {w: 1, y: 1, h: 2, x: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*j, -4*z + 3*z + 4*j + 38 = 0. Calculate the lowest common multiple of 144 and 4*(-2)\/(-16)*z.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 + -41. Suppose 5*t + 4*x = o, 0 = -2*x + 5*x. Suppose 4*j + j - 103 = -t*u, -j = -4*u - 11. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.1463 days in milliseconds?\nAnswer: 73971040320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 71. Let l = 69 + d. Solve p = -l*p + 16 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -19, 3, 23, 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 16, -3*z + 12 = -4*v - 1. Let j be (-11 + 4 - z)\/(-2). Solve -4*o = 9 + j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/5))**(-22)\/((n**(-2\/3)\/n)\/(n\/(n\/(n**(8\/13)\/n)))))**(-1\/11) assuming n is positive.\nAnswer: n**(-1108\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -216, -334?\nAnswer: -452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194776.\nAnswer: 2, 97, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvxv when four letters picked without replacement from xxxvvxvxzeexzxezvxxz?\nAnswer: 6\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t - 13*t = -15. Let n = -0.1 + 4.1. Which is the third smallest value? (a) t (b) n (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676 greater than 357?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3304.8688 - -3301. What is c rounded to one dp?\nAnswer: -3.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17085 or -4\/11?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3796?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*p)*(2 - 1 - 4)*(-3*p**2 + 7*p**2 + p**2) - 13*p**3 - 3*p**3 + 3*p**3 + p**2 - p**2 - 4*p**3 + (0 + 0 + p**2)*(-5*p - p + 4*p).\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-1848) - 12\/33.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 2796 - 660 = 0. Let s be j\/(-88) + 2\/(-11) - -12. Solve -s*k + 11*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -4, 22 in decreasing order.\nAnswer: 22, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124925*c**4 + c**3 - 3*c**2 + 7*c + 19474033.\nAnswer: 499700*c**3 + 3*c**2 - 6*c + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -1205*o**2 - 576*o - 22451*o + 44133 + 179127 - 47733*o - 5*o**3 = 0?\nAnswer: -122, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 0, -6 in ascending order.\nAnswer: -6, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, u: 5}. What is prob of picking 2 t?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/o**7))\/(o**(8\/3)*o*o)*o**7\/(o\/o**5))**(1\/34))**(-23) assuming o is positive.\nAnswer: o**(-460\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 76*3\/(-12) + (-7)\/1*-1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-2)*-2)\/1. Let m be (-200)\/(-80)*(-188)\/(-10). Let v be -51 + m - 31\/(-8). Which is smaller: v or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxe when three letters picked without replacement from {y: 1, x: 2, e: 1, q: 1, z: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.11231 * -0.2\nAnswer: -0.022462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 302\/6 + 292\/438. Solve -55*r - 6 = -g*r + 2*d, -3*d - 5 = 4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + 3*q + 3. Give z(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 48713272 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - sqrt(8))*-2 + 5)**2*2 + -4.\nAnswer: 40*sqrt(2) + 62","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.494 - 12.547. Sort -1, -2, -1\/4, l, -4\/3.\nAnswer: -2, -4\/3, -1, -1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 1792*h - 185198. Determine q(98).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8456, -8296, -8136, -7976, -7816, -7656?\n\"Answer: 160*i - 8616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 16098 = 3*y, 0 = -4*y - 0*y + 3*s + 21467. Is y a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 673187 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -m. Let h = -271 + 274. Suppose -1 + 22 = h*s + 3*w, 5*s - 26 = -2*w. Sort s, 2, m, 3.\nAnswer: m, 2, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/7 - 5248*o\/7 + 1721344\/7.\nAnswer: 4*(o - 656)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (-3 - -14 - 10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + sqrt(7) + (sqrt(42)\/(sqrt(30)\/sqrt(5)) - sqrt(7)))*3 + -4.\nAnswer: -25 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -41*p + 44*p. Suppose -2*j + 2*j = 3*j. Put 1, j, p, -2 in descending order.\nAnswer: p, 1, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5)*10\/3. Suppose z*j - 15 = 3*j. Solve 2*s + 3*s = -j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**19\/y)*y*y**8)\/(y**(-3\/4)*y**(2\/53)))**(-38) assuming y is positive.\nAnswer: y**(25327\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.36 - 0.2?\nAnswer: 9.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(-3))*(-44)\/77.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 14*t**2 - 98*t - 55. Calculate q(-19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/1378 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 3*p + 3, 6*p - 20 = 4*u + 2*p. Let c be (-9)\/6*u\/3. Suppose -1 = j - 2*n - 6, -4*j = -5*n - 14. Sort j, -3, c in increasing order.\nAnswer: -3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58320?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15.8 + -17.8. Let d = -1 + 1. Let i = d - -0.2. Is i > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**4 + 5928*w**3 + 5930*w**2 - 5928*w - 5929 = 0.\nAnswer: -1, 1, 5929","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -753?\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*-1)\/(1*sqrt(700)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 36157 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 624 and 1490359.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -5*w**3 + 16*w**2 + 11*w + 7. Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (39\/(-78))\/((-3)\/(-26)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5380951 from 0.76.\nAnswer: 5380951.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1049*q - 5*g + 189560 = 1054*q, 2*q = -5*g + 75806. What is the ten thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 26*i**2 + 23*i + 63. Calculate u(27).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 221*h**2 + 8043*h - 33. Give i(-46).\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -3 (c) -1\/3 (d) -1\/2 (e) 0.1 (f) 0.5 (g) 1186\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 4 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*i - 616, 35*i - 32*i - 490 = q. Calculate the lowest common multiple of 598 and i.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-5))\/(137\/3288).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -33*l**3 - 2*l - 1. Let t = -50 + 49. Give o(t).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.2 times -9227.57?\nAnswer: 186396.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77.925457 + -3.925447. Let y = a + -74. Round y to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 23. Let m be 1 - v*1 - 2. Calculate the greatest common divisor of 18 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4272410?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (0 - -5))*18720\/3900\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 185746*i**3 - 96628 wrt i.\nAnswer: 557238*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54 + -118. Let o = 179 + m. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2208565 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -205119 (base 11) to base 12.\nAnswer: -13a402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 12*i**2 + 11*i + 2. Let p be a(-10). Suppose 11*v - 14*v - 5*d = -148, -2*v = 2*d - p. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggl when three letters picked without replacement from gluuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 111 - 108. Find the first derivative of 229*i**g + 41 + 12*i**4 - 229*i**3 wrt i.\nAnswer: 48*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 - 359*d - 2465. Calculate z(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y + 4102 = 8*y. Suppose -u + 3*v + 481 = 0, -4*u + 2217 = v + y. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 1284*h**2. Let p(t) = 0*t**2 - 7549894 + 7549894 - 2*t**2. Give w(p(d)).\nAnswer: 5136*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456*i = -30*i + 13608. What is the greatest common factor of 1778 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 11 = 2*k, -i - 2*i - k - 8 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-20)*(-16)\/40.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 218*k - 42. Calculate the least common multiple of c(1) and 440.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.167 or 1?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, r: 1, e: 3, l: 2, u: 4}. What is prob of picking 3 e and 1 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwwjwjwpwwwwww. What is prob of picking 2 p?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 - 8*g - 4784. Let k(n) = 5*n**2 - 6*n - 4782. What is -3*c(a) + 4*k(a)?\nAnswer: -a**2 - 4776","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*n + 10 = -39*n. Suppose -3497 - 2*a**n + 3497 - 10*a = 0. Calculate a.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 3 (b) 1\/9 (c) 0.1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, -2\/7, 90 in increasing order.\nAnswer: -6\/11, -2\/7, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 374*t - 275. Let d be 4\/6 + 2360\/24. Let h(j) = -15*j + 11. Let z(x) = d*h(x) + 4*r(x). What are the prime factors of z(7)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/2443 - 11918\/31759. Calculate the common denominator of 9\/14 and q.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + (sqrt(160) - sqrt(160)*-4))*5)\/((sqrt(160)\/sqrt(5) + (sqrt(18) + sqrt(162))\/sqrt(9))*3).\nAnswer: 55*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 6*u**2 + 7*u + 4. Let g be b(7). Suppose g*i - 347 = -7. Let z = -45 + i. What is the highest common factor of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r - r**2 + r**2 - 3*r**4 + r**2 in the form j*r**3 + w*r**4 + l*r + s + q*r**2 and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of -f**5\/60 - f**4\/12 + 4*f**3\/3 - 26*f**2 + 106. Let w(d) be the second derivative of b(d). Solve w(v) = 0 for v.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 4, -3*p + 4*p + 4*j = -12. Suppose v + 62 = p*q + 23, -4*q + 3*v + 45 = 0. Suppose q*x = 12*x - 279. Is 35 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38188402 divided by 1.\nAnswer: -38188402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 1 = 2*b - 5*y, -2*y - 3*y + 6*y + 3 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) -5 (c) 3\/4 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 234100 and 257510.\nAnswer: 2575100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1509 and 231611883.\nAnswer: 1509","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2*((-5*(sqrt(5) + -1) + (sqrt(5) + sqrt(20))*-3)*-2 + -3).\nAnswer: -27 + 56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 1. Let b be v(3). Let i be ((-2)\/(-4))\/((-2)\/b). Sort i, -5, 0 in increasing order.\nAnswer: -5, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262888.18 rounded to the nearest 10000?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -266 (b) 337 (c) 3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -40*h**3 - 11*h**2. Let c(y) = 8*y**3 + 2*y**2. Let r(p) = 11*c(p) + 2*o(p). Let q be 10608\/(-546) + 40\/2 + 11\/(-7). Calculate r(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91486895 + 91482810 = 95*h for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-127) + (-1465344)\/16369792?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101201202112121 (base 3) in base 9?\nAnswer: 11652477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 6*x = -y + 414, -2*x = -3*y + 1217. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*u - 5*m, 2*u - 5*m = -2*m - 102. Is u at least -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4133 (base 8) in base 16?\nAnswer: 85b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -3*x + 3, x + x = -2*i + 10. Suppose 0*u + 159 = 3*u - 3*t, -i*t + 15 = 0. Does 15 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*j = -3*z + 124, -z = -3*j - 61. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 270 = 3*n. Suppose -48*g = -n*g - 30. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/24*63\/(-42)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m + 10. Suppose -3*n + 14 = -0*q - 2*q, -q = 3*n - 2. Suppose -n*u + 0*u = 0. Give r(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -27, -2, 2 in decreasing order.\nAnswer: 2, -1, -2, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 9720\/(-200) - (-5 + 102\/30).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - d + 10. Give x(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.55003 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of u**2\/2 + 6*u - 69. Let l = -18 + 12. Calculate d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*3\/36*(-1 + -7). Solve 4*p - z*p = 8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 0.879?\nAnswer: -2.637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/3042 and -42\/13.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/2423, 0.4, -5, -1\/26, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 71785813651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 at least as big as -32967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x - 8. Let w = 25 - 22. Let y be m(w). Suppose 5*b - 3*j = y, -4*j = 3*b - 2*j - 8. What is the second smallest value in 0.4, 1, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.40966696 to one dp.\nAnswer: 31.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 6739 = 1154. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) 11 (b) 4\/7 (c) 2 (d) -3\/8 (e) -0.0059\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1823 plus 3?\nAnswer: -1820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 160 = -330 + 162 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/42)\/((-1)\/(-3)). Let w be (-4)\/(-14)*(-14)\/(-40). Let u = -15\/92 + -2\/23. Which is the third biggest value? (a) u (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -31, 932, 0.05, -4?\nAnswer: 932","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120\/(-140)*(8\/(-3) - -2)\/(6\/315)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*i**4 - 10\/3*i**2 + 4\/3*i - 2\/3*i**5 + 0 + 2*i**3.\nAnswer: -2*i*(i - 1)**3*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96)\/(-56))\/(2\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2364126*v**4 + 11131762*v wrt v?\nAnswer: 28369512*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 326 and 81989.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + g - 1 = 0, g - 2 = 5*n - 1 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/19593 and -29\/67033251.\nAnswer: 469232757","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 9:02 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*d - 3*d - 2*d = -41, 3*z - 3*d = -56 + 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-12)*n**5*(n**(-7\/2))**(-38) assuming n is positive.\nAnswer: n**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 4*k - 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 46 = 5*s, x - s + 34 = -3*x. Let n(z) = -z - 1. Let f(u) be the first derivative of 2*u**2 + 5*u + 1. What is x*n(o) - 2*f(o)?\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*s**3 + 248*s + 153*s - 400*s to i*s + z*s**2 + d*s**3 + f and give d.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -199 + 190 = -o - 5*j, o - 4*j = -9 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 786 - 351 + 21*a.\nAnswer: 21*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (20 + (-9 - -9) - 4) + -3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, 1, -5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28*r**5 + 48*r**4 - 12*r**3 - 8*r**2.\nAnswer: -4*r**2*(r - 1)**2*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/42)\/((-2)\/6). Let f be (-90)\/(-24) - ((-3)\/18 + (-200)\/(-48)). What is the second smallest value in -1\/6, 5, f, m?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/(-2)*(-4240)\/1855)\/(-10).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32646197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 125*l**5 + 650*l**4 + 1270*l**3 + 1180*l**2 + 525*l + 90 = 0. Calculate l.\nAnswer: -2, -1, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 3. Let c be v(-3). Suppose 10 = c*h + 2*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12410092, 12410091, 12410090, 12410089, 12410088, 12410087?\nAnswer: 12410086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by -144?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 538 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 21*h + 7. Let o(j) = -20*j - 8. Let i(d) = -5*o(d) - 4*t(d). Factor i(l).\nAnswer: 4*(l + 1)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39408436 is divided by 562977?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9644 and -0.4.\nAnswer: -9644.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -939 = -11*c - 268. Let k = 64 - c. Which is smaller: k or 15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2066 - -0.102.\nAnswer: -2065.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/5*100\/(-2940)*7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 15\/4 of a decade?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3. Let n(h) = -129*h**3 - 54*h. Let y(k) = -2*d(k) - n(k). What is the second derivative of y(c) wrt c?\nAnswer: 762*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2. Let q(m) be the first derivative of -1\/12*m**4 + 1 - m**2 + 0*m**3 + 0*m. Let h(i) be the second derivative of q(i). Calculate b(h(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11648 is divided by 327.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46\/15 + -17\/5. Which is the biggest value? (a) 3 (b) q (c) -0.05 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1906477, -1906432, -1906387, -1906342, -1906297?\n\"Answer: 45*r - 1906522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45523 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t**2 + 942828*t - 268462305 = 0.\nAnswer: 285, 313991","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-28)\/(-33) + 2\/(-11). Let l = 251 - 279.4. Let b = l - -28. Sort j, -5, b in ascending order.\nAnswer: -5, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 15642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**3 - 706*a**2 + 373*a - 32448. Calculate d(235).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 872*i**2 - 54*i + 117. Does 4 divide u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23, -16, -11, -14, -31, -68, -131, -226?\n\"Answer: -d**3 + 5*d**2 - d - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4943 and -42.\nAnswer: 207606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 32*z**2 - 4*z + 3. Is i(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, p: 4}. Give prob of picking 1 p and 3 b.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.6, 7, -17, -1.1, 2\/37 in descending order.\nAnswer: 7, 2\/37, -1.1, -3.6, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - m = -2*m + 5, -4*j = -2*m + 10. Suppose 0 = 7*u - j*u - 560. Calculate the lowest common multiple of u and 56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 12) in base 8?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -609*j - 2. Let r(k) = -3*k + 27. Let z(o) = -3*o + 24. Let m(p) = 8*r(p) - 9*z(p). Determine m(i(c)).\nAnswer: -1827*c - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 + 0*r**2 + r**2 - 2*r**2. Let m(v) = 2*v - 6. Let d(j) = 2*j - 5. Let k(b) = -6*d(b) + 5*m(b). What is o(k(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4145.2786 - 4272.29. Let n = i + 127. Round n to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12422*f**3 - 113*f**2 + 2*f - 5 wrt f.\nAnswer: 74532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 138*v + 2917. What is q(-21)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11963 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-24)*(-18 + (-11016)\/(-594))\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 401\/5 - 82. Suppose i - 18 = -h - 4*h, -3*i + 32 = 4*h. Suppose 7*z - i + 22 = 0. Which is bigger: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292203547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 19222*x**3 + 38378*x**3 - 4*x**2 - 19202*x**3 to s + v*x**2 + a*x**3 + q*x and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8620.139g to kilograms.\nAnswer: 8.620139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -346*w + 0*w**3 - 16 + w**3 + 347*w as l*w**3 + u*w + r + y*w**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6127815000 rounded to the nearest 1000000?\nAnswer: -6128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 45?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w + 910 + 665 - 1583 - 9*w.\nAnswer: -44*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -1\/9*b**3 + 0*b**2 - 1\/18*b**4 + 0 + 3*b. Factor a(m).\nAnswer: -2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 159 - 155. Suppose 3*f + y*r - 157 = 0, -4*f + 3*r + 106 = -70. Suppose -4*v + 191 = -5*s + 3, -2*v + 3*s = -94. Is f greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7752, -7783, -7814?\nAnswer: -7845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7515480*x**2 + 15092702*x + 2 wrt x.\nAnswer: -15030960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -2.3751825\nAnswer: 19.00146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 1.20059872?\nAnswer: 0.90059872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-252)\/(-1386))\/(2\/(-22)). Put 85, d, -1, -3, -5 in descending order.\nAnswer: 85, -1, d, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6682*v**5 - 474*v**3 - 7958831*v**2 wrt v.\nAnswer: 400920*v**2 - 2844","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*x + 6*f + 2724, x - 686 = 2*f. What is the remainder when x is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96537 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -2)*(-5)\/15. Put 1, -5, o, -4 in descending order.\nAnswer: 1, o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1161565 is divided by 50500.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18164542 to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from kakaaaaaakskakjakak?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 8158150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1888\/3540)\/((-6)\/(-5))*(-90)\/(-24).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2 + 0*r**2 + r + r**2 - 1 - 4. What is v(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 5*g - 13, -17 = 3*s - 4*g - 0*g. Let m(x) = -8*x + 11. Let r(a) = -6*a + 9. Let d(k) = 4*m(k) - 5*r(k). Give d(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1034 - 1034 - 73*a + (0 - 4 + 2)*(-2*a - 3 + 3).\nAnswer: -69*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7092 divided by 3?\nAnswer: -2364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22669202 is divided by 3664.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28016159 to the power of 1\/3, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -561*x**2 + 99*x. Let q(u) = 28*u**2 - 5*u. Give -5*o(s) - 99*q(s).\nAnswer: 33*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**5\/20 - q**4\/12 - q**3\/3 + q**2 + 2*q. Calculate the remainder when m(-3) is divided by -2 + -16*(-1 + 0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/(s*s**(-7)*s))*s*s)\/s)\/(s**5*s)*(s**(2\/5))**(-13\/4))\/((s\/(s**(-4)\/s*s))**46)**(-25) assuming s is positive.\nAnswer: s**(57397\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54157?\nAnswer: 31, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -4, -5.\nAnswer: -5, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7576919 is divided by 2027?\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 11:46 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141149 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2 - 53321*n**2 + 53087*n**2 in the form m*n**2 + o*n + s and give m.\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:20 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 6 + -7 - 14 - -5?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2056502 - 5?\nAnswer: -2056510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161535.\nAnswer: 3, 5, 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3343103 is divided by 384.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5719*i - 43. Let d(b) = -6*b - 1. Calculate 43*d(a) - t(a).\nAnswer: 5461*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2352747 micrometers to meters.\nAnswer: 0.0000002352747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from zpquddpqqpqzqzuu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -69*22\/(-12)*2. Let l be 91\/4 - (-19)\/76. Suppose 0 = -5*g, -2*g - 2*g = r - l. Calculate the greatest common divisor of s and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50\/60)\/(5\/4). Let 4\/9 + 10\/9*p**3 + 2\/9*p**2 - 10\/9*p - c*p**4 = 0. What is p?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1974276 is divided by 199?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248*g = -212*g + 36 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12130031 (base 4) in base 15?\nAnswer: -7c3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/5)\/(r\/r**(-3\/5)))**33*((((r**(-1)\/r)\/r)\/r)**(1\/8))**(-1\/17) assuming r is positive.\nAnswer: r**(-2243\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71 + 26*t - 71)*(0 - 1 + t + 0*t).\nAnswer: 26*t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -124\/79 - 5679\/1264. What is the common denominator of w and 6\/24*125\/(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -180, -343, -496, -633, -748, -835, -888, -901?\n\"Answer: x**3 - x**2 - 167*x - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 45000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.2, 42, 1\/17, 0.3, -0.1?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.7 + 11. Let h = 0.2 + y. Put 3, h, 1\/17 in decreasing order.\nAnswer: 3, h, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4675, -4724, -4773?\n\"Answer: -49*b - 4626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/2325 + -1547\/6975. Is d greater than or equal to -0.074?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*n - 2*n. Let w be 4 + (-24)\/(0 + n). Let g be (w\/54)\/((-2)\/12). What is the third biggest value in g, -0.4, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42 + -3 - 4) + -144 + 171?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 9 and -3159272306?\nAnswer: 3159272315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times 5.1?\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 3*n + 2. Let v be k(-3). Suppose -4*z + v = -46. Let t = 17 - z. List the prime factors of t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 5*o + 37. Let n be w(-8). Suppose -n + 15 = c. Let y(l) = l**3 + 2*l**2 - 5*l - 4. Let j be y(-3). Solve -c*t = -0*t - j for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -29, -85, -195, -377, -649?\nAnswer: -1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -12, -0.1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 5489928?\nAnswer: 16469784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvaf when four letters picked without replacement from avffnvvv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y - 19. Let r be l(-6). Suppose 3*s = -r*t - 7 - 2, -5*t = 15. Suppose -2*m - k + 2*k = -133, 5*m = -s*k + 355. What are the prime factors of m?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2215\/10 - (-3)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 k when three letters picked without replacement from {d: 2, k: 2, e: 8, c: 1}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -5, 1, 4, 1519\/33, -0.2 in descending order.\nAnswer: 1519\/33, 4, 1, 0.3, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 806 and 2275.\nAnswer: 141050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.133306525 - 0.04.\nAnswer: 0.093306525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 111852 and 20436.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 812 + m**2 + 806 - 2429 + 812. Let i(n) = -9*n**2 - 8. Determine i(c) + 6*k(c).\nAnswer: -3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 + 8*w**2 + 3*w - 9. What is the lowest common multiple of (2\/(-9))\/((-27)\/243) and x(8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 227 + 397 = 0. Solve 4*t - 2*v + 20 = -v, 0 = 2*t - 4*v + r for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**5 - 470*g**3 - 1154*g**2?\nAnswer: 60*g**2 - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 4) in base 16?\nAnswer: -b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 522.9615581406\nAnswer: -523.3615581406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = -j. Suppose 0 = -y + 2*y - j. Suppose 15*n + 306 = 441. What is the least common multiple of y and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 11 = -3. Suppose -4*g - 18 = -p - r, 3*g = 4*p - 51. Suppose 3*o - p = 3. Solve -w = -2*w + o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*h**3 - 2\/7*h**2 + 1\/7*h + 2\/7.\nAnswer: -(h - 1)*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2938?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -44407 divided by -10?\nAnswer: 44407\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 71 = -4*k, 5*k + 4*z = -0*k + 81. Let j(h) = h**3 - 17*h**2 + 16*h - 20. What is the units digit of j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, w: 5}. Give prob of sequence yw.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -166 - -168. Let y = -8 + 5. What is the closest to 3 in k, 1, y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2033\/7350 - 17\/150. Is 0.5 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26690 + -14155. What is the ten thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 565*c**4*r**2 - 93*c**2*r**2 - 6*c wrt c.\nAnswer: 13560*c*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2.512?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 22\/8 - (-2)\/8. Let d = -5 - -12. What is the lowest common multiple of 0 + 2\/v*15 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303.36 minus -0.4?\nAnswer: -302.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.26 + 0.57. Let g = n + -0.73. Which is the second biggest value? (a) g (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3.6. Let r(w) = w**3 - 2*w. Let y be r(3). Suppose 4*k - y + 13 = 0. Sort -2\/15, k, a in descending order.\nAnswer: k, a, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4401760.\nAnswer: 2, 5, 11, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t. Let n be z(-1). Suppose -n*x - 1 - 1 = 0. Put x, 2, 1 in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2709.314 * -62\nAnswer: 167977.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 587809369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 26470864 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -77*a - 2. Let f be t(-2). Suppose f = 2*v - 336. 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 i(r) be the third derivative of 0*r**3 + 0*r - 1\/20*r**4 + 6*r**2 + 0 - 1\/20*r**5 + 3\/200*r**6. Factor i(m).\nAnswer: 3*m*(m - 2)*(3*m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*l - 90 + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/3 + 7*j\/2 - 10\/3.\nAnswer: -(j - 4)*(4*j - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25236657 is divided by 3822.\nAnswer: 3813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p - 3*p**3 - 4*p - 2*p**3 + 3*p**3 + 0*p**3 + (8 - p**2 - 8)*(-2*p + 4*p - 3*p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l + 8. Let o(h) = 7*h - 1 - 2 - 4. Calculate -5*m(k) - 6*o(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = -4*y + a + 18, -4*a + 13 = 3*y. Let x(b) = -b**2 - 3*b - 2. Let u(w) = 4*w**2 + 9*w + 5. Let r(l) = y*x(l) + 2*u(l). Determine r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 + f**2 - 2. Let k(d) = -2*d**3 + d**2 - 3. Let u = -41 + 39. Calculate u*k(v) + 3*t(v).\nAnswer: -2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -2. What is the units digit of (-15)\/20 - a\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2842*i + 2688*i + 1078. Let n be (-96)\/(-7) + (-2)\/(-7). What is the greatest common factor of n and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/32 and 11\/11384?\nAnswer: 45536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -14, 2 in ascending order.\nAnswer: -14, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = -4*c, -2*w - c + 8 = -1. Suppose -w*d + 30 = -2*d. Solve v + v = -d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2810.68622 - -2787.68622456. Let o = 1 + 22. Let b = x + o. Round b to 7 dps.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 6) + (7 - 13) + 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-18) - 640\/(-1152)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6885 (b) -1\/4 (c) 0.2 (d) -3\/7 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*d - 273*d - 5*j = -5, -5 = 5*d + 4*j for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edfcfddffd. What is prob of picking 1 c and 2 d?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 v when two letters picked without replacement from {v: 1, x: 4, i: 8}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -12*m**2 - 2 - 31*m**3 + 56*m**3 - 10*m - 24*m**3 + 16 + 6*m**2. What is h(8)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 2:13 AM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3742 divided by 2?\nAnswer: -1871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 59, 23, -27, -91, -169, -261?\nAnswer: -367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6753 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 5*k = 42, -35 = -4*k - 43 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -0.1 (c) -1 (d) 2 (e) 116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*p - 40*p = 14. Let w = 16 + p. Let d = -34 + 37. Solve -w = n - d*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 - -24.45. Let h = 24.9999962 - w. Round h to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9971*c**2 - 78*c - 3 wrt c.\nAnswer: -19942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 132\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*i - 1559 = -2072 + 2145 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9007 + (-4)\/12*3. Let h = 409 - 703. Let p = l - h. What is p rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 47*y**2 + 27*y + 10. Let p(s) = -23*s**2 - 14*s - 7. Let b(j) = -4*d(j) - 9*p(j). What are the prime factors of b(-6)?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1297961 to the nearest integer?\nAnswer: 1139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 138.2 - 156.77. Let h = -8.57 - x. Suppose 0 = r + 3*n - 3, -5*r - 3*n + 3 = 0. Which is the biggest value? (a) 1\/4 (b) h (c) -0.4 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 4*k = -2*h + 39835, 4*k = -h + 7951. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/25, 2, -2\/11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 8*t = -4882 - 33691. Is t a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*1\/(6\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 12*a**2 - 13*a - 1. Let k be g(-13). Let x be ((-1)\/k + -2)*0. Solve 2*v + 2*y - 12 = -x*v, -23 = -3*v - 4*y for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -238 - -133. Let q be (-10)\/25 + (-67)\/u. Is 0 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12637, 50538, 113707, 202144, 315849, 454822?\nAnswer: 619063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g - 3. Solve -g*h + 8 = h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/102 and -46\/153.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26282232157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from osqsoawosawwowosnssw. What is prob of picking 1 w and 1 n?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.64 - 0.14. Let y = -1.9 + f. What is the third biggest value in 4, y, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2 + 422*p**2 + 2*p**3 + p - 1 - 421*p**2 to the form v*p**3 + o + y*p**2 + x*p and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/2))**29*s**(1\/16)\/s*s*s\/s**7 assuming s is positive.\nAnswer: s**(137\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvvuvvvvvvvvu. What is prob of picking 2 v?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 0*q = -16. Suppose 0 = -13*m + q*m + 5. Let x be 1\/m + (5 - 4). Sort -5, 4, x in increasing order.\nAnswer: -5, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 223 + -179.3. Let m = q - 1.2. Let z = 21.2 - m. Round z to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (600\/(-10))\/(-10)*992\/186\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u**2 - 275*u - 10887. Determine b(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) 1 (c) -6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7)\/2)\/(62118\/7888))\/((-2)\/(-207)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-110)\/(-20) - ((-56)\/(-16) + -3). Solve 4*g - 7*x - 6 = -u*x, 0 = -2*g - 2*x - 6 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 15 + 5 - h**3.\nAnswer: -h**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 25 = 2*o. Suppose -3*n = -o*q - 2*n - 34, 0 = q - 5*n + 26. Let d = -25\/8 + 3. Which is the third smallest value? (a) 0.2 (b) d (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-77)\/(-28)*41\/((-12177)\/2322)?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b + 1100 = -62*b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-84))\/((-67)\/536). What is the third smallest value in 11, -0.04, -21, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8614361 to the power of 1\/4, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 6) - 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(91)*2 + (3*(-3*sqrt(91) + sqrt(91)) - sqrt(91)))\/(-4*sqrt(343) + sqrt(343) + sqrt(7)*-4*-2).\nAnswer: 18*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 1938. Let n(h) = -13237*h. What is n(i(f))?\nAnswer: -13237*f**2 + 25653306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 760398595*c**3 - 852387648 wrt c.\nAnswer: 2281195785*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -331297.9 - -331298. Let t = 46 + -46.19. Let j = 8.81 - t. Put 0.5, q, 4\/9, j in increasing order.\nAnswer: q, 4\/9, 0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 6*i**3 - i**2 + 1. Let p be r(-1). Let g = 16 + p. What is the smallest common multiple of g and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 0*p - 6 = p, 3*g + 4 = 5*p. Suppose -5*h + 2240 + 21261 = g*m, 4*h + 3*m - 18805 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 314\/7, -69, 67, 3, -4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 58 = 10*h - 16*h - 5*l + 22, 3*l + 18 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + s - 11 = -3*o, -o + s + 3 = 0. Let i(j) = 7*j + 4. Let n be i(o). Let a(p) = 39 - p - n. Let u(q) = 2*q**2. Determine a(u(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 218 - 41475*a + 82955*a + 2*a**2 - 41480*a to o + p*a**2 + k*a and give o.\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 12*w - 9. Let z be i(-10). Suppose t - 3*t = a - z, -a = -t + 4. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2 = -s - 9, 4*q = 3*s + 11. Let x = s + 1. Let z be x*3*2\/12. Solve -a - 1 = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-197)\/2*1*2. Let h(m) = -2*m**3 + 14*m**2 + 5*m - 41. Let a be h(7). Let b = a - j. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of j*l - 21886546*j + 260*l + 277242 wrt j?\nAnswer: l - 21886546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 35 and 15311555?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1\/9 (c) 1\/7 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c*g**2 - 6*c*g + 191566175*c + 32911*g**2 - g with respect to g.\nAnswer: 12*c*g - 6*c + 65822*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31941.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38950?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*t**5 - 6*t**4 - 68*t**2?\nAnswer: 1260*t**2 - 144*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of -1\/6*h**6 + 0 + 8\/105*h**7 + 0*h**4 - 1\/84*h**8 + 7*h**2 + 2\/15*h**5 + 0*h**3 + 0*h. Find q, given that k(q) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 + 1127730053794?\nAnswer: 1127730053793.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -29*p - 11. Let s(g) = 30*g + 13. Let v(c) = 5*s(c) + 6*u(c). Let q be v(-3). What is the greatest common factor of 426 and q?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**2\/3 - 3740*f\/3 - 2492 = 0.\nAnswer: -3738, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7164 and 1861446.\nAnswer: 11168676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 6*d + 16, 0 = -5*h + 4*d + 41. Suppose f - h + 1 = 0. Let s be (1 - 0)*(-2)\/16. Put s, 1\/4, f in decreasing order.\nAnswer: f, 1\/4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 330*b**2 - 21080*b + 172800.\nAnswer: 5*(b - 32)*(b - 10)*(b + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 630 divided by 54\nAnswer: 35\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-11 - (-5 + 12 + -13))) + 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 - 22. Suppose 0 = -m - w - 5. Let b = m + 21. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1154.55 * -6\nAnswer: 6927.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -0*v. Suppose 5*y - 230 = -v*y. Let j = y + -30. Calculate the smallest common multiple of 8 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43706514?\nAnswer: 2, 3, 7284419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 16\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -12*n**4 - 24790113*n**3 - 291282567*n**2 - 818068968*n + 223109748 = 0?\nAnswer: -2065831, -6, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 934, 940, 946?\nAnswer: 952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 2\/15, -0.88?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*n - 4, 15*n + 4*h = 11*n - 4. Put 4, 8, 6, n in decreasing order.\nAnswer: 8, 6, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7777692.143 + 4626\nAnswer: -7773066.143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61951.03 - -61226. Let h = q - -721. Let z = h + 0.03. Which is the nearest to 1\/4? (a) -2\/7 (b) -2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57348*o - 962 = -57374*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16333 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.8 - 8.8. Sort i, -4, 0.04, -3 in decreasing order.\nAnswer: 0.04, i, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 205*z**3 + 12*z + 1 + 11*z - 46*z**3 - z**2 - 24*z to the form b*z**2 + u + n*z**3 + j*z and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-50)*17325\/2772.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1716 - -2770. Let o = -1046.866 + n. Let i = -7.2 + o. Round i to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-148 - -5)*(3 - (-4)\/(-1)). Let v = -65 + p. Calculate the greatest common divisor of v and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 8. Let r be k(-11). Calculate the greatest common factor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.86 - -0.86. What is the biggest value in u, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9 - -8)*(-3)\/(-21). Sort 7\/4, 2\/3, m in increasing order.\nAnswer: m, 2\/3, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 1178?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/9 (b) -1\/3 (c) -363\/10 (d) -20051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6c16 + 21b?\nAnswer: c6e32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 615341, 615340, 615339, 615338?\nAnswer: 615337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -1\/3*t**3 + 1\/6*t**6 - 3*t**7 + 0*t**5 - 99 + 0*t**4 + t**2 + 0*t. What is the third derivative of g(b) wrt b?\nAnswer: -2520*b**3 + 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -h**6\/120 - h**5\/20 + h**4\/4 - h**3\/6 + 3*h**2. What is the tens digit of o(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35397734886*q**2 + 1228944*q - 32\/3 = 0 for q.\nAnswer: 4\/230427","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 343 - 342. Let r(b) = -4*b + 6 - 1 - 10 + 8 + z. Let x(l) = 4*l - 5. Calculate -3*r(j) - 2*x(j).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**18*u\/u**(27\/5)*u)\/(u*u\/(u\/u**19))**(-16\/3) assuming u is positive.\nAnswer: u**(1834\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/569 - 1112\/7397. Let a = 0.2 - -0.8. Let q be (-2)\/((-1 - -8)*(-10 + 11)). What is the nearest to -0.1 in a, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 28 - 13. Is ((-106)\/i)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436920763 is divided by 106.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -61. Let j = 29 - 34. Put f, 5, j, 4 in descending order.\nAnswer: 5, 4, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 + 51*f - 689. Give i(22).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/(f**(-6)*f*f))\/f)\/(f**(-1\/10)\/f))**(-14))**(-3\/22) assuming f is positive.\nAnswer: f**(1071\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/30 - (-1)\/2. What is the closest to l in 0, 5, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/11)\/(4\/(-34)). Let g = -203908 - -4486773\/22. Let a = f + g. Calculate the common denominator of 91\/6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-717)\/(-9) - (-8)\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -32 - (-1 + 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266*x + 73602 - 73602.\nAnswer: -266*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.1, 0.13, -70, -3, -0.2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 926*p + 622*p + 43344 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 - 5*c**2 - 26*c + 14. Let v be u(6). Let d = 717 + v. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Suppose 2*i = 5*t - 19 + 4, 2*i + 2*t + 50 = 0. Let k be i\/8*(-2)\/(-2). Put -0.1, v, k in ascending order.\nAnswer: k, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -917 + 918. Sort -3577, 4, c in ascending order.\nAnswer: -3577, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(143)*1*-4 + -1*sqrt(143)*-5)\/((sqrt(1584) - sqrt(44))*-5).\nAnswer: -2 - sqrt(13)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 + 91. Calculate the greatest common divisor of w and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 5*v - 0*v. Suppose 14 = 15*m + 344. Is v greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -19.97. Let z = 0.53 - 0.16. Let c = z + q. Sort 4, 1, c.\nAnswer: c, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-4*-1)**2 - (sqrt(25) + sqrt(25) + -5*sqrt(25) - sqrt(25))\/sqrt(5).\nAnswer: 4*sqrt(5) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 655\/(-15) + 2\/3. Let d = -55 - y. Is -10 less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 + 29*a**2 + 33*a + 135. Let i be z(-28). Sort -4, i, -2, 3, -32.\nAnswer: -32, i, -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 4 + (-3 + 18 - (-12 + 9))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145, -238, -317, -376, -409, -410?\n\"Answer: q**3 + q**2 - 103*q - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 6:38 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/((-36)\/894240). Suppose -11*p = 9*p - l. What are the prime factors of p?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 30 = -3*b, 3*a - 8 = -b - 0*b. Let t = b - 23\/2. What is the closest to t in 4\/5, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 4)*(-7 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5384 take away 0.4?\nAnswer: -5384.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 7:21 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*k + 5408 - 671 = 0, -d = 2*k - 2382. Calculate the smallest common multiple of 11 and d.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y + 15*y = 1238. Let a = 957 - y. Suppose -8*b + 790 = -a. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**3\/3 + 2*n**2 + 7*n. Calculate the smallest common multiple of k(1) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 3*j + 63 = 0. Let w = -1 - j. Let z(r) = r**3 + 9*r**2 - 7. What is the remainder when z(-8) is divided by w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 2 v when four letters picked without replacement from {b: 7, t: 1, v: 6, q: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(539)*2 + -5 + -5*(sqrt(44) - sqrt(396))**2).\nAnswer: -4425 + 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6187624.84 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5*y - 3*y + 5*y)*(-5*y + 0*y + 4*y) to the form w*y**2 + o + k*y and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -23, -6, -15, 6, -1, -4 in ascending order.\nAnswer: -23, -20, -15, -6, -4, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**3 - r**2 - 2. Let v = -5 - -7. Let g(n) = n**3 - 5*n**3 + 3*n**v - 5 - 5*n**2. Let y be -1 - (-2 + -1 + (48 - 51)). What is y*c(x) - 2*g(x)?\nAnswer: -2*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((352\/40)\/(-11))\/((-28)\/20)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 40, 33, 24, 13, 0?\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2848605 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*p - 40*p - 7*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 57072, 114145, 171218, 228291, 285364, 342437?\n\"Answer: 57073*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 582.5083 milligrams to tonnes.\nAnswer: 0.0000005825083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f - 16. Let m(o) = o**3 - 6*o**2 - 20*o - 4. Is m(f) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 6*d**2 - 1. Let k be x(-1). What is the greatest common divisor of 165 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101604 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 53 = 29*d - 66 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 5*q = -6*u - 8, -3*q = 12. Let s(r) = r**2 - 8*r + 3. Let l be s(8). Find the second derivative of 8*n**l - 12*n + 14*n - 3*n**u wrt n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/6)\/(2\/(-6)). Suppose -3*k - v + 820 = k, 1025 = i*k + 3*v. Let g = k + -415. Round g to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/35 - (-30)\/7. Factor 3*d**q - 3*d**4 - 3*d**4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**5 + 65676*p**4 + 8114506*p**3 + 46914008*p**2 + 69747192*p + 30882016 = 0.\nAnswer: -32714, -118, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 48 = -3*m. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from arzzazrzaerrxexzrz?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -872, -1794, -2824, -4016, -5424?\nAnswer: -7102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/((o\/(o**(15\/7)*o)*o)\/o)*o)\/o*o*o\/((o*o*o**24)\/o)*o)\/(o**(10\/9)\/o)**48)**6 assuming o is positive.\nAnswer: o**(-932\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/9*2\/3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992140 rounded to the nearest one thousand?\nAnswer: 992000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/12, 1\/6, 4, 2, 1\/52, 1321 in descending order.\nAnswer: 1321, 4, 2, 1\/6, 1\/12, 1\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122111 (base 3) to base 10.\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:50 AM and 5:15 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(33) - sqrt(297)\/sqrt(729)))\/(-1*-4*sqrt(243)).\nAnswer: 4*sqrt(11)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.9 (b) 0 (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (728521*a - 728521*a - 158*a**3)*(-4*a**2 - 48 + 48) + 2*a**5 - 5*a**5 + 2*a**5.\nAnswer: 631*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -608481, -608485, -608489, -608493?\nAnswer: -608497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2506 (base 10) to base 5\nAnswer: 40011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 13. Let p(h) = h**3 - 27*h**2 - 27*h - 18. Calculate the remainder when p(28) is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6920237 - -194220.84.\nAnswer: -6726016.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -13.03 (b) 0 (c) -5 (d) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 648 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -2\/21 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -8*f + 83. Let l be t(-4). Let g = -121 + l. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3542 (base 8) in base 15?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -8, 3*m - 118*g + 114*g + 4 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h**3 - 8*h**3 + 5*h**3)*(3 + 1 - 5)*(10 + 4 - 11)*(0 - 2 + 4).\nAnswer: 78*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51174222?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.7906 + 0.5246. Let z = k + -0.334. Let x = z + 26. What is x rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/99 and 29\/1574847?\nAnswer: 17323317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 + 15 + -8).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o - 6*o + 2*o - 3*o**2 + 6*o wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148045.\nAnswer: 5, 29, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1157 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 4\/7, 0.2, -2, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2168, -8704, -19598, -34850, -54460, -78428?\nAnswer: -106754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/124)\/(6\/(-16)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d + 0*d + d + (5 - 2 - 4)*(-5 + 5 + d) + (-2*d - d + 4*d)*(4 + 2 + 1) + 3 + 2*d - 3 to n + p*d and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 17 + 17 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lylylllllzyylljyllzz. Give prob of sequence jl.\nAnswer: 11\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 less than 11777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 189822 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -a + 6 + 7, 0 = -3*a - 9. Let l = -3 + 6. Solve -q + r = l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000918 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*v - 36825 - 110196 = 0, 0 = -c + v + 29415. List the prime factors of c.\nAnswer: 3, 9803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2. Let c(j) be the third derivative of j**5\/20 + j**4\/8 + j**3\/2 - 890*j**2. What is -c(m) + 4*q(m)?\nAnswer: m**2 - 3*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9514 + -9512. Find n such that -1\/4 + 0*n + 1\/4*n**l = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, l: 6, s: 3, o: 6}. What is prob of picking 1 l, 1 y, and 1 o?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 84?\nAnswer: -5\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 270584 and 2204008?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1324.8200471 - -792.\nAnswer: -532.8200471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -253319 - -563.\nAnswer: -252756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 42971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from ypubyuyybhhyp?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136690554 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 34148.394 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 + 3*o**3)*(o - 4*o + 2*o) + (1 + 1 - 6)*(17*o**4 - 28*o**4 + 13*o**4).\nAnswer: -11*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -27*g + 4. What is a(1)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + -16.\nAnswer: -15.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 + g + 81*g**2 + 78*g**2 - 157*g**2. Suppose c + 5*m = 5*c - 13, 3*c - 4*m = 10. Give z(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 7*z + 5*z + 2*z.\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by 41573.\nAnswer: -15\/41573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * 5437.\nAnswer: -43496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27.016 + 0.016. Let m = -27.00000036 - b. What is m rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4848, 4840, 4828, 4812?\n\"Answer: -2*o**2 - 2*o + 4852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 293 = -5*s - 278, 11*j - 3*s + 52 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 10:25 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -696190 divided by 139238.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 86402358?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -41\/13 greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -5 (b) 113662 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = 8. Let f be (5 - (-4 - x))*(-1 + -1). Let m(l) = l**3 + 3*l**2 + 2*l + 3. Let u be m(f). Solve -v = 3*h - 20, -45 = -u*v - v - 5*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 5\/6, -153, 1\/2, 0.18, -4?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 24*y**2 + 12*y - 25. Let d(c) = -2*c**2 - 19*c + 13. Let b be d(-10). What are the prime factors of h(b)?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from {z: 2, v: 3, g: 1, o: 3, t: 1, c: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 5:26 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -74*h**3 + 218*h**2 + 220*h + 1. Let b be a(-1). Solve b*k - 80*k = -35 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -206 - -196. Let s be ((1 - -4)\/c)\/((-5)\/4). Is 89 at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 21*c + 305646 = 0. Suppose -9*w - 2*w + c = 0. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5777047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12308 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 213*q + 135. Let v(j) = 320*j + 209. Determine -14*m(l) + 9*v(l).\nAnswer: -102*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 10*v + 8. Let d be a(6). Suppose -13*z + d = -11*z. What is the lowest common multiple of z and 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74 or 119401?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 3240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27.64278 decades?\nAnswer: 3317.1336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a microsecond in nanoseconds?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, -15, -63, -153, -297, -507, -795, -1173?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 PM and 8:42 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q + 2. Let y be n(2). Suppose -z - 20 = -5*i, 4*z + 15 = -5. Find the third derivative of 0*w**i + 0*w**3 - 11*w**2 + 5*w**4 - y*w**4 wrt w.\nAnswer: -72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1109 (b) 1602 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 221904 and 15678?\nAnswer: 2884752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53135 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-744)\/(-1364)*(-88)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -72024 (base 8) in base 16?\nAnswer: -7414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(272)*-1 + 3 - ((2*sqrt(170) - sqrt(170))*2)\/((sqrt(90)\/(-1*sqrt(9)) - sqrt(10)) + sqrt(10)).\nAnswer: -22*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 1, 5, 45, -1, 43, -121 in increasing order.\nAnswer: -121, -16, -1, 1, 5, 43, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 7*o**5\/60 - o**3\/3 - 5*o**2\/2 - 10*o. Let g(v) be the first derivative of x(v). Differentiate g(k) with respect to k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3.183.\nAnswer: 0.183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 1\/37, -3, 0.1, 414?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from yuvuuhhu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 - 36*f**3 + 0 + 35*f**3 + f - 1 to the form b + x*f**3 + n*f**2 + a*f and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1491639 is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*t + 7. Suppose 0 = -i - t*i. Suppose 4*u + 9 = 5*r, 2*r + i + 2 = 3*u. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/891*27*(-338)\/13.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 11*x**5\/5 + 19718*x**4\/5 - 612431*x**3\/5 - 3147338*x**2\/5 - 306264*x = 0.\nAnswer: -1823, -4, -6\/11, 0, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4999 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x + 5*i = 98*x + 28, 0 = -5*x - 2*i - 35 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -18 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 644744 and 967116?\nAnswer: 1934232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 180218 - 2*h + 5*h - 180253. What is c(5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50043, 3, -30, 5, 1, -2 in descending order.\nAnswer: 5, 3, 1, -2, -30, -50043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 1, r: 2, l: 1, h: 3, m: 1}. What is prob of sequence ros?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*15*(-24)\/(-1620)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 110 + d0b?\nAnswer: e1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 3:18 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 4, b: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 3351213?\nAnswer: 10053639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzekl. Give prob of picking 1 e and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 4*n**5\/5 - 4*n**4 + 8*n**3 - 8*n**2 + 4*n + 23. Solve w(o) = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -137, -205, -275?\n\"Answer: -u**2 - 63*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-495)\/(-1188))\/((-2)\/(-8))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 9 = -4*x + 4*s, -3*x = 2*s + 39. Let w = x - 5. Suppose -2*q - 2*l = -15 + 47, -2*q + l - 32 = 0. Is w greater than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 12 - 2. Let u(o) = o**2 - 5*o - 6. Let j be u(6). Do j and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 0*c**2 + 1\/12*c**5 + 18 + 1\/3*c**4 - 22\/3*c**3 + 0*c + 1\/180*c**6. Let b(o) be the third derivative of d(o). Factor b(m).\nAnswer: 2*(m + 1)*(m + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -186 and -184 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -1. Let w = -37.131 - -37.3. Let a = -0.069 + w. Put -5\/4, u, a in decreasing order.\nAnswer: u, a, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 335087\/19 + -17646. Which is smaller: f or -9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3 - 2 + 18*s**2 - 2*s - 37*s**2 + 17*s**2. Let v(x) = x**3 + 11*x**2 + 11*x - 5. Give -11*p(b) - 2*v(b).\nAnswer: -2*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32\/15 - (14 + 1*(-8 - 4)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7608*t**5 + 21496*t**4 - 20118*t**3 + 6180*t**2 + 50*t = 0. Calculate t.\nAnswer: -5\/634, 0, 5\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1042 (base 5) to base 3\nAnswer: -12110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - q**2 + 1. Let n be v(1). Suppose -4*j = -7 - n. Factor -2 - 16*k**j - 2*k**4 + 4*k**2 + 4*k + 8*k**3 + 4*k.\nAnswer: -2*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2. Let v(z) = -8*z. Let b(x) = 18*x. Let g(j) = -6*b(j) - 14*v(j). Determine g(a(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 34*g = -204*g + 240. Suppose -5 - 1 = -3*l. Suppose -l = -p + 2. Solve -g - 7 = -p*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*i + 4*b, 4*i - 110*b - 43 = -95*b for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 0.5, 0.2, 8\/25, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-12))\/(1\/(-62)). Let m = i + 46. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135328 is divided by 335.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94752 by 5922.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -257193.\nAnswer: -80\/257193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vnqm when four letters picked without replacement from yqqqnqvyqyyqnqym?\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(189)\/sqrt(7))\/(sqrt(54)\/sqrt(6)*4 - sqrt(9))*5.\nAnswer: -25*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 579261, -0.01, 0.3, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*-76\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 31 = -5*z, z = -f + 2*f - 7. Let u be 2*(7 + f + -1). Calculate the highest common factor of 48 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 s when three letters picked without replacement from {s: 4, r: 6, i: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12*i**3 - 6759*i**2 + 124038*i + 165585 = 0.\nAnswer: -581, -5\/4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 49*x**2 - 12*x - 95. What is the least common multiple of 170 and z(-49)?\nAnswer: 4930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**1\/k)\/k)**(-30) assuming k is positive.\nAnswer: k**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1167719 is divided by 296.\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 + v - 1. Let r be l(1). Let h(d) = -4*d**2 - 2*d - 1. Determine h(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2)*i*i*i*i)**29\/(i\/(i\/(i*i**(4\/9))*i)*i\/(i**2*i)))\/((((i*i**(-1\/8))\/i)\/i*i**(-2))\/(i**(-1)*i*(i*i**(-1))\/i)) assuming i is positive.\nAnswer: i**(6529\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57 - 51. Let o be ((-4)\/z)\/((-4)\/(-36)*-1). Let j be (11 - 15)\/((o\/(-4))\/3). Solve 5*h = -j - 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.27? (a) -0.9 (b) 1\/3 (c) -13 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -526*j - 640*j + 145*j to q*j + w and give q.\nAnswer: -1021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -433, -447, -477, -529, -609, -723, -877?\nAnswer: -1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*g + 0*g - g)*(-1 + 3 - 3) + 2*g + 3*g - g + 0*g + 4*g - 2*g)*(-3 + 3 - g**3) to z*g + t*g**4 + h + w*g**2 + u*g**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z**2 - 9635*z + 10. Let i(f) = 9*f**2 + 6427*f - 6. What is 5*d(g) + 8*i(g)?\nAnswer: 2*g**2 + 3241*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*m - 40*m + 22*m - 2*h - 9 - 71, 0 = -3*h + 15 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1113 (base 15) to base 5\nAnswer: -103433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6252171281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 + 6*c + 1. Determine g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -10*b**2 + b**2 + 6*b**2. Let r(q) = 52*q**2. What is r(c(j))?\nAnswer: 468*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082773134 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -129510, -518080, -1165708, -2072394?\n\"Answer: -129529*y**2 + 17*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8. Solve c = -3*p + 5*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1111 (base 2) to base 9.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-117)\/6)\/(((-2937)\/22)\/(-89))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35220558 and 82?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 86\/45 and 79\/100656.\nAnswer: 503280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*h = -39654, 9915 = -7*y + 8*y - 2*h. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 - (-40579)\/280 - 4*6.\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 61, 120, 179?\n\"Answer: 59*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 44*w**2 + 137*w - 260. Determine u(2).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 263*q**7\/7 + 20*q**3\/3 - 4*q - 25. What is the third derivative of d(a) wrt a?\nAnswer: 31560*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13876*i - 12*i**2 - 13876*i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5358*m + 16067. Calculate g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -0.3 (b) 3\/4 (c) -2 (d) -4\/7 (e) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12554\/207 - 1969321\/414. Let o = a - -4715. Calculate the common denominator of -16\/5 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 - 10784514*b**2 + 29076338493180*b + 523377587065608 = 0. Calculate b.\nAnswer: -18, 5392266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32518759 is divided by 6244.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*v)*(3*v + 0*v - 4*v) - 17 + 17 - 15*v**2 as b*v + o*v**2 + k and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 equal to 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = 13 + 5. Let g be 161\/35 - 2\/(-5). Sort g, z, -5 in increasing order.\nAnswer: -5, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00986 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3864 times -138.6\nAnswer: -535550.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 341044810*v**2 + 1377423*v - 50 wrt v?\nAnswer: 682089620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -33463664 rounded to the nearest 1000?\nAnswer: -33464000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 219467647 to the power of 1\/2, to the nearest integer?\nAnswer: 14814","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -47546 and 0.0491?\nAnswer: 47546.0491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 8:42 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (0 - (3 - 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5654451 (base 8) to base 2\nAnswer: 101110101100100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -26?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - b - 29, 3*c - 3*b = -4*b + 11 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 3}. Give prob of sequence nm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001000 (base 2) to base 6.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49*3*190\/5187.\nAnswer: -70\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/14 + -2\/7. Let g = -23 - -14. Let m = g + 13. Which is the nearest to h? (a) m (b) 2 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1475 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 503 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/11382 and -49\/2710.\nAnswer: 56910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + sqrt(133)*-2*-4)\/(1*sqrt(63)))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13150 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 31261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*w = 0, -3*b + 15 = -b + 3*w. Let s(h) = -h**3 + 4 + 8 - 6*h**2 - 6 - b*h. Let u(n) = -n**2 + 3*n + 5. Let v be u(5). What is s(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-96)\/(-8))\/48)\/((-1)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 1, 0.03, -184, 0.08, -2\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*1895.\nAnswer: -379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j**3 + 33*j**2 + 14 - 14 + 0.\nAnswer: 15*j**3 + 33*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 219 - 42 + 158 - 2*y. Is p(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 37.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4.4429 and -40.291.\nAnswer: -44.7339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 222251941 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165918241, -165918243, -165918245, -165918247, -165918249?\nAnswer: -165918251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 61*b**4\/4 - 553*b**3\/6 - 2657*b. Find the second derivative of i(c) wrt c.\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 3*r + 18. Let w be d(-6). Let n(i) = i + 11. Let z be n(-6). Suppose 4*b + z*x - 74 = w, -b - x + 14 = -4. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -6.08. Let g = -10.92 - m. Let q = g + 10.9999993. What is q rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*(-2 + sqrt(1216)))**2*-1 + -4 + (sqrt(1216) - 1*sqrt(1216))*-2 + -4.\nAnswer: -4888 + 128*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -28101800 divided by -14200?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + h - 1. Suppose -9*d + 3*d + 24 = 0. What is o(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -87, -185, -321, -495?\n\"Answer: -19*i**2 - 3*i - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 12 = -2*a + 3*a, -5*a = -3*j + 58. Let x = 25 + a. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-1\/4)\/c)\/c)**(3\/4)\/(c**(2\/37)*c\/c**(-13)*c))**47 assuming c is positive.\nAnswer: c**(-444949\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/(4*2\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.36 to zero decimal places.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 1, -14, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in 4, -44, -3.82, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**6\/40 + u**5\/10 - u**4\/8 - 2*u**2 + 22. Determine b, given that d(b) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2964 - 2935 - (28 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 28*b**2 - 7. Let m(v) = 8*v**2 - 10*v + 5. Let s(a) = 10*a**2 - 12*a + 6. Let x(h) = 6*m(h) - 5*s(h). Determine x(o(k)).\nAnswer: -1568*k**4 + 784*k**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*c**6 + 99*c**2 wrt c?\nAnswer: 2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 3, -12821, -120?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 525?\nAnswer: -524.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + 46 + (-63 - 51)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3001 + -1031224?\nAnswer: -1023223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4)*(-33024)\/15480\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 8:11 PM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 3432763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10, -28, -72, -154, -286, -480, -748, -1102?\n\"Answer: -2*q**3 - q**2 - q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34159148.\nAnswer: 2, 31, 83, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2421542 (base 7) to base 9.\nAnswer: -518372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47131, 1, 5, -39 in decreasing order.\nAnswer: 47131, 5, 1, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167 + 385 + 392 + 388 + 41*f**2 in the form o + y*f + t*f**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19960 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11010 (base 2) in base 16?\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*a + 83*a - 2 = 0. Suppose 4*c = a*q - 20, -10 = -5*c - 0. Solve 0 = -q*h + 9*h - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/39)\/((-52910)\/(-6253)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12536746 (base 8) to base 2\nAnswer: 1010101011110111100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 0, -4, -7, 2146, -10 in decreasing order.\nAnswer: 2146, 8, 5, 0, -4, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (1 + -5) - 0. Calculate the greatest common divisor of n and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 5*i**2 + i - 5. Suppose 3*p - d = 4 + 7, -p + 5*d = -13. What is the least common multiple of l(p) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**2\/7 - 119139764*v\/7 - 1774285420746962\/7 = 0.\nAnswer: -29784941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(7) + 5 - -1*sqrt(343))**2*3.\nAnswer: 270*sqrt(7) + 1776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - a + 92 + 466*a**2 + 6*a - 92 as l*a**2 + z*a + w and give l.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0 + 7 - f - 7. Let n(l) = 7*l**2 + 2*l - 2. Let p(z) = -85*z**2 - 25*z + 25. Let k(a) = 25*n(a) + 2*p(a). Calculate k(q(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 3798?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x**2. Let c(f) = -3230*f**2 + 16 + 3315*f**2 - 8. Calculate r(c(i)).\nAnswer: 21675*i**4 + 4080*i**2 + 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40.946 - 41. Let j = 1.946 - p. What is the closest to j in 2, 3, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1316483197 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 214613 - -840570. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57278 to the power of 1\/2, to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + g = 6, 0 = -4*c + 5*c + 5*g - 9. Let t = c + 1. Suppose 2*d - 6*d = t. Solve d = -5*i - 4 + 9 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*q + 58*q + 31*q - 31*q + q as s*q + r and give s.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 285622366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 207718 and 0.5.\nAnswer: 207718.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 18\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -39 in -5, -1, -3\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 2 - (2 - 35). Let f = 54 - d. Suppose -2*k + 5*m = 9*m - 6, -5*k + 15 = -2*m. What is the highest common factor of k and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1872) + -1)**2 - (sqrt(208)\/sqrt(4)*-4*-5)**2.\nAnswer: -18919 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 1:58 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9342605?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -161a6 - -27?\nAnswer: -1617e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 57691523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(102) + 1*sqrt(102)))\/sqrt(6).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 17 (b) 1.5287 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1116, -3, 1, 5, -834 in decreasing order.\nAnswer: 5, 1, -1, -3, -834, -1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1019, -952, -25 in increasing order.\nAnswer: -952, -25, 1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xixx. Give prob of sequence xxix.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*a - j - 212, -4*a - 3*j + 444 = 0. Let r be (36\/a)\/((-2)\/18). Let x(s) = -s - 5. Give x(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98942349 is divided by 471154.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-57)\/76)\/(6\/(-16)). Solve 4*f + 2 = -b*i, 1 = -i + 3*f + f for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1*8 - 0) + -4 + 30. Solve b = -5*s + 10, s + b = 4*b + j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-17 - 46 - -94)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 207 and 74934?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63035 is divided by 63004.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 1 + 1)*((6 - 1 + 1)*(-2*s + 0 + 0) - 2 + s + 2).\nAnswer: -11*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31666.15 rounded to the nearest one hundred?\nAnswer: -31700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46112054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-5)*(-4)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2327448 and 9.\nAnswer: 2327457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 78 - 77 - ((-23 + 21 - (-3 - 0)) + -99).\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25770916 rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**2\/8 + s\/8 + 3\/2 = 0. What is s?\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 7*a = -a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = 4*z - 2*r, z - 3*r = -8. Let v be 3*z\/3*-5. Let h be 2\/8 + v\/16. Sort -4, h, 5.\nAnswer: -4, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3556489129.\nAnswer: 157, 22652797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 5:48 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 + 7*a**5\/30 - 7*a**4\/12 + 5*a**3\/2 + 44*a**2. Let u be f(13). Solve 5*b = z + 4*b + 3, -u*z + 3*b - 6 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45369.173 - -8.1.\nAnswer: 45377.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p + 2. Let q be d(5). Let h be ((-18)\/5)\/(2 - 29\/15). What is the units digit of (h - 3)*1\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 32?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268645150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + -1. Let b(c) = 2*c**3 + 7*c**2 - 33*c - 15. Let l be b(-6). Solve t = 5*w + 5*q + 8 + 12, -l*q = -3*w + 12 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-16)*(-5 + 21\/7). What is the nearest to -2\/3 in -3, c, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -0.01, -1, -0.08, 0?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q + 32 + 53 - 1 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + -3 - -3 - 3. Let l(b) = 4*b - 7. Determine l(n).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9 - -3)\/(-3) - -6. Suppose 35 = 5*y - 4*s, s + 7 = k*y - y. Solve 3*n - 1 = -y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3\/2 - 54*y**2 + 61*y\/2 + 21 = 0. What is y?\nAnswer: -2\/5, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (-6 - 0\/8) + 12 + -1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, 12\/7, -2.97?\nAnswer: -2.97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-4)\/(12\/7). Which is the closest to 0? (a) 2 (b) -0.6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 55*n**3 - 2*n**2 + 40*n**3 - 3 + 6*n + 2. What is the units digit of m(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 8*g**2 - 7*g. Let j = -14 + 20. Let q be y(j). Let c = q + -23. Calculate the highest common factor of c and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 835 = -g + 16*a, 5*g - 5*a + 4215 = 0. Let i = 843 + g. Solve -13*f + i*f = -11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 8:24 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-414)\/8280*11\/((-11)\/100)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 - 8*x**2 + 8*x - 9. Let r(a) = -6*a - 11 + 17*a + 152*a**2 - 145*a**2. Let c be r(1). What is f(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11632, 11637, 11644, 11653, 11664, 11677, 11692?\n\"Answer: n**2 + 2*n + 11629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.902 + -0.098. Let l be (-2)\/18*(-2 - 0). Which is the smallest value? (a) -1\/8 (b) p (c) l (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghggrorg. What is prob of picking 1 o and 1 h?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v - 101. Let j(w) = 2*w - 3. What is -b(y) + 2*j(y)?\nAnswer: 2*y + 95","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 v, and 1 f when three letters picked without replacement from ffamvamffa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-640)\/(-192))\/((5\/(-6))\/(-1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -458.781 and -0.2.\nAnswer: 91.7562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 423939?\nAnswer: 3, 251, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d423 - -27?\nAnswer: -d3da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5397*w**3*z**2 + 2*w**2*z**2 - 2798*w**2*z wrt w?\nAnswer: 32382*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 4*c = -1096, -2*u + 3*c = -0*u + 420. List the prime factors of (-3 + 3 - -20)\/((-9)\/u).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(4 + (-5 - -5) + -5). Let r be (0\/(-2))\/(-4 + x\/(-6)). Which is bigger: 1\/94 or r?\nAnswer: 1\/94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -616.\nAnswer: -3\/616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3013, 1072, -869?\nAnswer: -2810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 98, 114, 144, 194, 270, 378?\nAnswer: 524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -92*a**2 - 308*a - 4. What is s(-3)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5571766*j**5 - 88348686*j wrt j?\nAnswer: 111435320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - 508*3\/240 and -127\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.7674 + 7.766. Let p = 7 + c. What is p rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.4 - 8.6. Let i = h + 39.5. Which is the second smallest value? (a) 2\/5 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4465230, 4465243, 4465256, 4465269?\n\"Answer: 13*t + 4465217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14479 + 11\/(-154)*0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -m + 70. Calculate the greatest common divisor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/10)\/((-87)\/(-15)). Let l = f + 39\/145. Are 2\/3 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 36.330059 - 326.2.\nAnswer: -289.869941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -152 and 5.8.\nAnswer: -146.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 187 - 103. Suppose r + 4*d = -3*r + y, 3*d = -r + 27. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*x - 329 + 1944. Let c = -91 - x. Solve 10*z - 6*z - c = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 182\/9*x**4 - 1012\/9*x**3 - 472\/9*x**2 - 16\/3*x = 0 for x.\nAnswer: -2\/7, -2\/13, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-2*((-924)\/440)\/21\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33b85 (base 15) in base 14?\nAnswer: 43db2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 482, 478, 472, 464?\nAnswer: 454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000 - -111002102?\nAnswer: 111010102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 9237 + 70255. What are the prime factors of b?\nAnswer: 2, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -0.0529 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 87.7, 4\/3, 4\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/65 and 21\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/6*6\/(-4). Suppose 5*d - 6*d + b = 0. Let c(g) = -g**2 + 2. What is c(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 75\/6 - -11. Which is the biggest value? (a) s (b) -6 (c) -1\/4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -720181938 and 1.295.\nAnswer: -720181936.705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyjjjynyjjynn. Give prob of picking 2 j and 1 n.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(130) - 4*sqrt(130)*-1) + sqrt(130) + sqrt(130))\/(2*2*sqrt(10)))**2*-1 + -2.\nAnswer: -717\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 15. Suppose -o*y - 80 = -4*r, 0*r = 2*r + y - 31. Calculate the remainder when 50 is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjc when three letters picked without replacement from vecevjkq?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y - 29 + 2*y - 4*y + 273*y**4 - 2*y + 5*y wrt y?\nAnswer: 3276*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 8:13 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 623 and 1424.\nAnswer: 9968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17b - -10159?\nAnswer: bb9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/4 - 27*x**2\/4 + 21*x\/2 + 18.\nAnswer: 3*(x - 6)*(x - 4)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.162 - -5.162. Put 0.4, c, 2, 1 in descending order.\nAnswer: c, 2, 1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 1\/1)*0. Suppose g = -3*t + 5*t - 8. Suppose -r - t = 5*c, 5*r = -c + 2*c + 6. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**4\/3 + 140*h**3\/3 - 100*h**2 = 0. Calculate h.\nAnswer: -30, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1009017139?\nAnswer: 13, 71, 83, 13171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 1261878?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 12867492.86.\nAnswer: 12867488.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283 less than 1283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 6\/11 (c) 1\/4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 70 and 7420?\nAnswer: 7420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 398.5 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 2\/13 (c) -2 (d) -305\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from fffbfbbfffff?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -206 or -6421\/31?\nAnswer: -6421\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - -6. Let k = q - 34. What is the common denominator of ((-91)\/(-12))\/(4\/k) and 11\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 150940 - 87420. Does 188 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/9 + 820*b**4\/9 + 86480*b**3\/9 + 499360*b**2\/9 + 985760*b\/9 + 652864\/9.\nAnswer: 2*(b + 2)**3*(b + 202)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 5, h: 2, z: 1, e: 1, t: 6}. Give prob of sequence bz.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616 and 264.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 2. Give x(9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 6*c - y + 8805, 0 = 3*c + 5*y - 6625. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93588372 is divided by 46794181?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1512)\/1863)\/(-14)*(-96)\/(-32).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 160 + 456?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f. Let w(i) = 3*i**2 - 3*i + 2. Let b be w(1). Let d(c) be the second derivative of 3*c + 2*c - 13*c + 13*c - b*c**4. Calculate k(d(m)).\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450931*h**4 - 8392*h**2 - 8*h wrt h.\nAnswer: 10822344*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-97)\/(-11) + 22\/121. Let g(d) = -7*d + 29*d - 38 - 8*d - 10*d. Let z be g(12). Solve -4*a + y*a + z = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + (3 + sqrt(72) + (sqrt(72) - 2*sqrt(72)) - sqrt(72))**2 + (-5 + sqrt(72))*1 + -5).\nAnswer: -180*sqrt(2) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 6 = t. Suppose 45 = 5*x + 4*b + 10, -4 = t*x - 2*b. Solve -4*k - 4 = m + 2, 0 = -2*k + x*m + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/44160592 and 79\/31543280.\nAnswer: 220802960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5 = -3*i - 0*d, -5*d = 10. Let y(w) = 1433*w + 2778*w + i - 812*w. Let m be y(3). Round m to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1448228557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u**(-1\/3)*u)*(u**(-4\/7)\/u)\/u*(((u\/u**4)\/u)\/u)\/(u\/(u\/(u**16\/u))) assuming u is positive.\nAnswer: u**(-488\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -10*p + 62. Let n be u(6). Let l(h) = 168*h**2 + 6*h - 10. List the prime factors of l(n).\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 7*l - 6. Let u = 23 - 19. What is the tens digit of a(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31002 + 3003020?\nAnswer: 3100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -119 in decreasing order.\nAnswer: 1, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpwq when four letters picked without replacement from {l: 1, w: 3, b: 1, t: 3, q: 1, p: 6}.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*k + 60 - 46 = 0, -4*k = -5*y - 60 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006323618995 rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.56 and 0.253102.\nAnswer: -0.14173712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - -3)*(1 + 0). Suppose -4 = 3*p + 5*u, 2*u = 3*p + 5*u. Let w = -2 + 4. Solve -2*a + 5 = l*a - 5*t, 3*a = -p*t - w for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1378761586, -1378761587, -1378761588, -1378761589, -1378761590, -1378761591?\n\"Answer: -g - 1378761585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 32*j + 1287\/4.\nAnswer: (j + 11)*(j + 117)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*g + g + 3*g)*(-g + 4 - 4)*(-369*g + 33119 - 33119) to h*g**3 + q*g**2 + y*g + v and give h.\nAnswer: 369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - g + 21*g - 7*g - 14*g - 3 + 3 - 3*g - 2*g + 4*g + (-2 + 3 + 1)*(2*g - 5*g + g) + g - 3 + 3 as q + n*g and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3)*2\/20*10\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51891, 103875, 155859, 207843, 259827?\nAnswer: 311811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c. Let x be i(1). Suppose 4*t - 2*t = x. Solve -2 = t*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*d - 11*d - 8*d - 22*d.\nAnswer: -56*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3*f = -438, v + 222 = 3*v - 3*f. Is 7 a factor of 4\/(-18) + 2400\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i. Let u = -1002 + 1006. Suppose u*n - 156 - 160 = i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1810 + -1809.65. Which is smaller: 19 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -69773\/126821478 - 5\/30246. Let y = m - -103645\/25158. Calculate the common denominator of y and 2\/39.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1588*s**5 - 5*s + 106.\nAnswer: 31760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000839151 rounded to seven decimal places?\nAnswer: -0.0000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3593 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5542 and 389081?\nAnswer: 13228754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 3*w - 4*x, w - x + 19 = -6*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 2\/17 (c) -4\/269 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 7:37 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 2*p**3 - p**3 + 359 + 116.\nAnswer: p**3 + 455","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (((-18)\/21)\/(5\/(-35)))\/2. Let k = -11 - -7. Let j = n - k. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**4 + 10*b**3 - 65*b**2 - 70*b + 120 = 0. What is b?\nAnswer: -4, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40164)\/8)\/(3\/4). Let q = -14195 - k. Let o = q + 75093\/10. Calculate the common denominator of -89\/16 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-12)*(-30)\/8. Let q = 156988\/5 + -31520. Let j = -122 - q. What is the nearest to j in 0, f, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17202*n + 17207*n = 2*i + 18, -3*i - 5 = -2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23791 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 631*z + 3332. What is m(-5)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 78639419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 3*x + 2*u, 49*x - 5*u - 65 = 44*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 w, and 1 z when three letters picked without replacement from {g: 2, n: 4, z: 1, w: 1, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5397 in -0.2, -3, -4, 13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 10:59 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -1, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 0*l = -4*l - 32, 0 = 3*i + 3*l - 48. Suppose 3*j + i - 189 = 0. Let o = 17 + -2. What is the remainder when j is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 97.0731*-1.71\nAnswer: -165.995001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-231)\/14)\/(-3) + 6\/(-4). Suppose 3*o + 11 = -y, 2*o - 2*y - 2*y = -12. Put o, v, 2 in ascending order.\nAnswer: o, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/78)\/(5\/(-65))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -29*i + 80. Let l(g) = -28*g + 81. Let f(d) = -4*l(d) + 3*t(d). What are the prime factors of f(13)?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 137*p - 143*p. Suppose 3*o - 294 - 114 = p. What is the greatest common divisor of o and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5181297*b + b**3 - 2590629*b - 2590668*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23006348 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 3*w + 2. Let f be c(2). Suppose 4 = -o + 6. What is the third derivative of 2*d**4 - o*d**4 + 0*d**f + 5*d**2 + 5*d**6 wrt d?\nAnswer: 600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421669 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -26.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3945651296 a multiple of 5953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + (-4)\/(60\/75).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 22*i**2 + 8*i - 8. Let p be j(2). Let u = p + -76. What is the third derivative of 24*s**4 + 29*s**5 + s**5 - 24*s**4 + u*s**2 wrt s?\nAnswer: 1800*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 8 = 0, -11*a = 3*r - 14*a + 9 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:07 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -110 (base 3) to base 10\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 1887 - 1352 = -3*v, -3*v = -3*o + 531. Is -187 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.12 + -717.12. Let g = n + 716.5. Which is the nearest to -106? (a) 5 (b) 3\/4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/8228 and -13\/1338260?\nAnswer: 22750420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10 - (2 - (-35)\/(-7)). Let f(z) = z**3 - 14*z**2 + 20*z - 9. Is f(j) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*z = -51*z + 166*z + 731 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 32773767, 131095021, 294963785, 524380065, 819343867?\n\"Answer: h**3 + 32773749*h**2 + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.913975 rounded to 2 decimal places?\nAnswer: 256.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**29\/(s\/(s**(-12)\/s))*s**(23\/2)\/s**(-1\/11) assuming s is positive.\nAnswer: s**(585\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12107 - 3032 - 3023 - 3160*t - 3023 - 3029.\nAnswer: -3160*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (-2*sqrt(90) - sqrt(90)))\/sqrt(6))\/(sqrt(27)*-2).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 389122232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 7 = -8. Suppose b*t = t. Suppose -2*f - 4*s + 48 = t, 5*f - 120 = -2*s - 0*s. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 1. Suppose -f + 26 = -0*z - 4*z, 2*f - 37 = 5*z. Let i be w(f). Suppose 5*l - 57 + i = 0. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 19*h - 37. Let y be j(21). What is the second derivative of -5*f**y + 10*f**5 + 18*f + 4*f - 14*f**5 wrt f?\nAnswer: -180*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 9 + 16*o - 6 to the form n*o + u and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**2 + 8*z**2 + 4*z**2 + 0 - 2 in the form d*z + w + i*z**2 and give i.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17897749655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24499234 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208255?\nAnswer: 5, 41651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 25*h - 16 - 47*h - 10*h**2 - h**3 + 31*h. Determine l(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.76*-14.81.\nAnswer: -11.2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + -4*4*sqrt(88))\/(1*(sqrt(8) - -1*sqrt(8))) + -1.\nAnswer: -15*sqrt(11)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 59 + -59.4. Which is the second smallest value? (a) k (b) 1\/8 (c) -1\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91.48785kg?\nAnswer: 91487.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**4 - 7*l**3 - 3*l + 3. Let c(n) = 3*n**4 - 6*n**3 + n**2 - 2*n + 2. Let s(q) = 3*c(q) - 2*k(q). Suppose s(v) = 0. What is v?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5998 take away -5?\nAnswer: -5993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*q**2 + 607714*q - 10734408.\nAnswer: -2*(q - 101268)*(3*q - 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*l**6 + 7606*l**5 + 47*l**3 - 40352090*l**2.\nAnswer: 720*l**3 + 456360*l**2 + 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 235*c**3 + c**2 + 20*c - 21. Let q be w(1). Calculate the greatest common factor of 47 and q.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-4))**(2\/125)\/(l**(12\/7)\/(l*l*l\/l**(-6))))**37 assuming l is positive.\nAnswer: l**(233803\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 11250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -7996, 24 in increasing order.\nAnswer: -7996, -30, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2. Let a(g) = 19563*g**2. What is z(a(t))?\nAnswer: 765421938*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*w - 3)*(-2*w + 8*w + 0*w + (4 + 3 - 4)*(-w + 3*w + 4*w)).\nAnswer: 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**2*v**2 + 3249*l**2*v - 45*v**2 - 2*v + 1189 wrt l.\nAnswer: 4*l*v**2 + 6498*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95*j*o**2 - j + 179*o**2 - 1486*o wrt o?\nAnswer: 190*j + 358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u + 11. Let j(y) = -60*y + 85. Let o(r) = 5*r - 7. Let g(w) = 2*j(w) + 25*o(w). Determine -13*g(k) - 6*t(k).\nAnswer: k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 634007861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 79237536 a multiple of 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that w**3\/6 - 79529*w**2\/6 = 0.\nAnswer: 0, 79529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b52a26 (base 12) to base 14.\nAnswer: -541126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 5341 and 5401 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 137\/((-36305)\/10)*-106?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, -5, -2, 184, -9 in ascending order.\nAnswer: -9, -5, -2, 3, 11, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043137 a multiple of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.93796597531 + -9.\nAnswer: -13.93796597531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391 > 12388?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -174 and -0.24.\nAnswer: -174.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - ((-138)\/21)\/2. Let d = 5.48 + -5.43. What is the nearest to f in -2, 3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 3*k**4\/8 + 11*k**2 - 2*k. Let x(q) = 15*q**2. What is b(x(c))?\nAnswer: 135*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-388)\/5529)\/((-4)\/(-6))*(-11)\/(-22)*-5.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*w + 64*w + 28*w + 14*w + 57*w + 267 wrt w?\nAnswer: 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/4 + 57*c**4\/2 + 235*c**3\/4 - 87*c**2 = 0 for c.\nAnswer: -3, 0, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + l**2 + 17*l + 6. Give x(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 29, 34, 39, 44, 49?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -545 + -465?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01 - 0.61. What is the closest to h in 3\/4, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.7847369 millennia?\nAnswer: 78.47369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.4 - -6.1. Let l = z + 8.3. Let m = -0.064 + -0.036. What is the nearest to l in 4, m, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**3 + 1. Let q be v(1). Let z = 7 + q. Suppose 0*d - 2*d - 4*x + 8 = 0, 3*d - 67 = z*x. What is the highest common divisor of d and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(143\/130*35)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.37 (b) 2\/5 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-332446)\/80 - -1)*2. Let i = m - -8304. Let y = 11615\/48 - 710\/3. What is the common denominator of i and y?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 417752 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -211 + 243122?\nAnswer: 242611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = -36*i - 54*i - 1356. Sort -2, 0, 4, 13, i in increasing order.\nAnswer: i, -2, 0, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691 = -125*l + 675 - 2109 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - 5*k - 3. Let w be r(4). Let v = 16 + w. List the prime factors of v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of -g**5\/50 + 2*g**4\/5 - 4*g**3\/3 + 88*g. Factor j(v).\nAnswer: -2*v*(v - 10)*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 + 2*h - 7. Suppose -1 = -4*y - 13. Let q be (0 - y\/(-6))*2. Let m be q\/(-3)*(7 + 8). Determine b(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38336419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-6)*l)*l\/l**(2\/5)*l)**(-2\/53))**20 assuming l is positive.\nAnswer: l**(-304\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 901*j - 18858 = 964 for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 0) + 1 - -6. Suppose 3*h - c = 29. Suppose -5*x - 2*o + h = -29, -2*x + 4*o = -40. Solve -g = 4*g + t + 25, -2*t - x = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**8\/f**(2\/43)*(f**1\/f)**(10\/9) assuming f is positive.\nAnswer: f**(342\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 (base 12) in base 4?\nAnswer: -111120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 8*x**2 - 38*x + 268. Calculate the remainder when 258 is divided by g(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1020)\/(-24) - -1*1\/2 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495) - 3*sqrt(495) - sqrt(495))\/sqrt(9) - sqrt(55))\/(-5*sqrt(704)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25205 rounded to 3 decimal places?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -7.9. Suppose 3*d - 5 = 2*d. What is the third smallest value in k, 2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 963467?\nAnswer: 29, 33223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kik when three letters picked without replacement from qqsksikik.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 12*g**2 + 22*g + 22. Is t(-15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 + 126. Suppose -4*a = 4*h - x, 2*a - 28 = -a + 4*h. Let w = a - 3. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04202 in 2\/7, 2, 387.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 484 = -3*r + 4*r, 3*r - 3*m - 1461 = 0. Let o = r - 197. What is the remainder when o is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a centimeter in micrometers?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.6 + -1.3. Let o = 13.94 + -14. Let w = 0.16 + o. What is the third smallest value in g, w, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k - 2. Let s be d(-1). Suppose -s*h + 5*h - 1256 = 3*w, 0 = 3*h + 5*w - 1903. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 6. Let r be 6 + -2 - (1 + 5). Let u be 7\/21*-3 + r. Determine i(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -15717?\nAnswer: -15715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22834, -91397, -205708, -365767, -571574?\nAnswer: -823129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 130.2 - 125.2. Which is the second smallest value? (a) -5 (b) 1\/6 (c) y (d) 203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 21083*k - 11. Let l be u(6). Let m = 313487 - l. Round m to the nearest 10000.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9748665.\nAnswer: 3, 5, 23, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 17*l**2 + 3*l - 3. What is the remainder when 116 is divided by c(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -736 and -728 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211 = 4*z + 207, 5*g = z + 14 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 i when four letters picked without replacement from {b: 1, t: 2, i: 4, j: 9, n: 1}?\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3 = -5*o, -3*o - 6 = -15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5 = 6*h. Let f be h\/(-3) + 186\/9. Let u be (-16)\/(-6) + 3\/9. Solve 0 = 3*b - n + 9, u*b = 2*n + 3*n - f for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 42167892 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 14 - 14 + 0 - 2*r**3.\nAnswer: -2*r**3 - 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3230003230 + -10?\nAnswer: -3230003300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/28)\/(-5 + 23\/7). Let o(q) be the third derivative of t*q**4 + 0*q**3 + 0 + 0*q + 2*q**2 + 1\/60*q**5. What is the second derivative of o(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6786?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17089 is divided by 1138?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 8*t + 9*t + 2 = 0, t = -3*u - 2. Solve u + 0*j + 0*j**2 + 8\/9*j**4 - 2\/9*j**5 - 2\/3*j**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 3*c**2 - 5*c - 13. Let z be i(-3). Solve 0 = -z*b + 4*o + 6, 2*b + o = -4*o - 30 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4\/2 - 30*b**3 - 102*b**2 - 96*b.\nAnswer: -3*b*(b + 2)**2*(b + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9573307213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 357484 to the power of 1\/2, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1880 or 15037\/8?\nAnswer: 15037\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*n**2 + 3*n**3 + 3*n**3 - 4*n**3 + 47*n**4 + 120*n**2 + 113*n**2 to the form o*n + h + s*n**3 + l*n**2 + c*n**4 and give c.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13\/650129 or 1?\nAnswer: 13\/650129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = 3*w. Let f(c) = 151*c + 2*c**2 - w*c**2 - 150*c + 6. Let z(n) = -7*n**2 + n + 5. What is 5*f(l) - 6*z(l)?\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4 + 7. Let f(u) = 7*u + 5*u - 17*u + p*u + 2*u**2. Calculate f(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18695040 is divided by 46?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 6:00 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -4\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/26 + -17\/78. Let i = 4.9 - 5. Which is the closest to l? (a) -0.5 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 56.061\nAnswer: 280.305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2163642 (base 7) to base 8\nAnswer: 1013130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 24. Let a(j) = 2*j**2 - 2*j + 1. Let y be a(h). Factor y - 5 - 8*u - 3*u**2 - u**2.\nAnswer: -4*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 0*h**2 + 0*h**2)*(6*h**3 + 5*h**3 - 4*h**3)*(6 - 2 - 3).\nAnswer: 14*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181418?\nAnswer: 2, 90709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 165 - 2*k + 112 + 104 - 375. Determine f(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1, -2, 2.06, -1\/4, 140, 6, 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/2 + (-3086)\/(-1) - 8.\nAnswer: 17, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -10*t**2 + 14. Let y = -423 + 421. Let s(x) = -2*x**2 + 3. Calculate y*i(f) + 11*s(f).\nAnswer: -2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 2*p. Let q be u(-1). Let j(i) = 4*i - 2. Let l be j(q). Let t = -5 - l. Calculate the greatest common divisor of t and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 2*y**2 + 1. Let s be d(-1). Let t = -7 + 2. Let l be (-101)\/(-5) - (-1)\/t. Solve 3*o = -s*o - l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*i**3 + 175*i**3 - 46*i**3.\nAnswer: 421*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7505670615 to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 656117 is divided by 470?\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + w = -5, -6 = 53*v - 51*v + w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -11*s**3\/3 + s**2\/2 + 3*s - 48. Let u be o(5). What is u rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/64 and 139\/528.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23318 by 11659.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -9 - (-208 - -214)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/2)\/((-84)\/(-8)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by 32\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.47576ug to milligrams.\nAnswer: 0.07247576","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l + 2. Determine t(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.35325 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 minus -31388.247?\nAnswer: 31404.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(180)*-2)\/sqrt(9) + -2 + sqrt(5) + (1*sqrt(25)\/sqrt(5) - sqrt(5))**2 + sqrt(5) + -3.\nAnswer: -10*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -23. Let h be 16\/(-7) + -7 + z. What is the biggest value in h, -5\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1321*h**3 - 105*h**2 - 2.\nAnswer: -7926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1033.9 - -1034.3. Let k = -25 + 17. Let w = 6 + k. Sort w, y, -1\/2 in ascending order.\nAnswer: w, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - s - 37 = 3*m, 2*m - 4*s = -6. Let v = 22 + m. Let c = 22 - v. Calculate the least common multiple of 1 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -477154068.97 from -0.1.\nAnswer: 477154068.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 267118 or 267112?\nAnswer: 267112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 348885937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5949, 47570, 160541, 380538, 743237, 1284314, 2039445?\n\"Answer: 5946*l**3 - l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11299617 and 7035.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 15 - (41 - 47) - (2 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**3 - 160657*l + 160657*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*v - 4, -4*j - 2 = 5*v + 5. Let p be j\/(-7) - 31960\/(-140). Calculate the highest common factor of p and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -351*q + 870679*q**2 + 4*q**3 + 8 - 870679*q**2.\nAnswer: 4*q**3 - 351*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14.3 - 14. Which is the second biggest value? (a) -2\/7 (b) u (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1180422?\nAnswer: 2, 3, 65579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 6*h + 7. Let n be p(-5). Suppose -2*l = 3*a - n, -l = -4*a + 4*l + 36. Suppose -7 - 9 = -b. Calculate the remainder when b is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*u - 4*y - 8 = 125*u, y + 2 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 957.8843 nanometers?\nAnswer: 0.9578843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4912*-0.4.\nAnswer: -1964.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from srrrypcyyyyyyyrpyy. What is prob of sequence ry?\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldjyjilijldyd. Give prob of sequence jydj.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -644 - -595. Let i be 7\/m + (-36)\/(-7). Solve 0 = -3*j + i*j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o - o**2 + 8*o - 4*o + 29 - 2*o**4 - o to the form b*o**3 + n*o**4 + a + k*o**2 + u*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*r = -41*r + 22572 + 3672. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-0.17.\nAnswer: 2.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 17856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74 and 23692?\nAnswer: 876604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-3\/8))\/(k\/k**(-2\/47)))\/((((k*k**(-1))\/k)\/k)\/(k**(-2\/11)*k*k)))**34 assuming k is positive.\nAnswer: k**(291839\/2068)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v**2 + 5*v + 8. Let k(t) = -5*t**2 + 8*t + 13. Let h(q) = 5*k(q) - 8*l(q). Factor h(r).\nAnswer: -(r - 1)*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 713 - 718. Let s be (-1)\/5 - (-1)\/y. Is 7\/25 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105431599?\nAnswer: 7, 13, 113, 10253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(2\/5))**(15\/2)*v**(4\/5)\/v**1)**(1\/5))**(6\/13) assuming v is positive.\nAnswer: v**(84\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 3*d + 1. Suppose -3*c = 3*u - 8*u - 32, -4*u - 24 = -2*c. Suppose c*b - 3*l + 6 = 3*b, 0 = 4*b + l + 11. What is the units digit of z(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -12*s - 42. What is the remainder when b(-5) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -81*t**2\/2 + 5*t + 7. Is p(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -756 - 494. Let w = y - -1380.2. Let t = 130 - w. Sort -1\/4, 1\/3, t in decreasing order.\nAnswer: 1\/3, t, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270556 is divided by 90165?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*6*4\/18. Let u be b\/(8\/(-7))*-2. Solve -6*f = -3*f + 2*h + u, f = 2*h - 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2*p**2 - 132*p + 1348. Let k be c(-75). Let x(i) = 1 - 7*i**2 - 2*i - 2*i**3 + i**3 + 6 - 5*i. Let a(z) = z**2 + z - 1. Determine k*x(u) - 14*a(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*3\/(-4))\/((-3)\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 + -2 - 1 - -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 23. Solve -2*r + 0 = -v for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8558430 divided by 6\nAnswer: -1426405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*w - 37 = 0, -33 = -4*j + j - 3*w. Let z(q) be the second derivative of -q**5\/20 + q**4\/2 + q**3\/3 - 4*q**2 - 32*q. Determine z(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 360 and 3630.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3743288253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10003, 80034, 270131, 640330, 1250667?\n\"Answer: 10006*m**3 - 3*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4169514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5986 - 1996. Does 15 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/4)\/(1\/(-2)). What is the second derivative of -a**l + 2*a**5 - 6*a + 3*a wrt a?\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5))**(-9\/5)\/((m*m\/m**(2\/3))\/(m\/((m\/(m*m**(-1\/9))*m*m)\/m*m)*m)) assuming m is positive.\nAnswer: m**(-163\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5768 + -69259\/12. Let a be -2 - -4 - (-35)\/50*7851. Let c = a - 5509. Calculate the common denominator of f and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48372 <= -48369?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1936 and 0.3.\nAnswer: -580.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208538?\nAnswer: 2, 11, 9479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(297) + 2*sqrt(297) + sqrt(297))\/((sqrt(18) - sqrt(72))\/sqrt(6)) + ((sqrt(44)*-1)\/sqrt(4) - 3*sqrt(396)))*-1 + -5.\nAnswer: -5 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 + 58 = -3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3 = 5. Let r(f) = f**3 + 11*f**2 - 19*f - 18. Let j be r(-10). Let x = -273 + j. Put n, 2, x, 4 in ascending order.\nAnswer: x, n, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 212465232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*i**3*n**2 + 10364*i**3 - 80*i**2*n**2 + 3*i*n**2 - 10*i*n + n**2 wrt n.\nAnswer: -20*i**3 - 160*i**2 + 6*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do 9\/272153 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + -4)*51\/(-119). Which is the third biggest value? (a) y (b) 0.4 (c) 11\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 17.2. Let v = 0.2 - 0.3. Which is the smallest value? (a) v (b) x (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11319 (b) 995\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 3*c. Let z(o) = -3*o + 5*o - o + o**2. Let g be (-15)\/(3 + 0) + 2. Let l = g - -4. Determine l*w(t) + 4*z(t).\nAnswer: -t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-700)\/(-75)*45\/12. Solve 0 = l*n - 30*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(55\/(-5))*((-1989)\/26)\/(-9).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**7\/240 + 23*y**5\/15 - 7*y**2 + 2. Let n(a) be the third derivative of s(a). Let b(o) = -4*o. Calculate b(n(w)).\nAnswer: 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 - 78*d**2.\nAnswer: -2*d**2*(d + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 2*o - 6 = 0, -3*o = f - 4*f + 9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*r - 175*r + 670*r - 159*r - 172*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7268, -6213, -4456, -1997, 1164, 5027?\nAnswer: 9592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2917 - 1326. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (4\/((-16)\/(-58971)))\/((-57)\/(-76))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y - 66383*h + 187 = y - 66376*h, -3*y - 37 = -2*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (0 + (-8 - -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.42651678?\nAnswer: 1.27955034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, y: 1, c: 2, p: 5, v: 4}. Give prob of sequence ppty.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 1. Let f(x) = 24*x - 169. Let i be f(7). Calculate a(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 97.5 - 103. Let f = -51.5 - h. Let q = f + 45.99956. Round q to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 7 + 22 = -4*v, 5*w = -3*v - 14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 217 is divided by 48.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/3, -2\/5, -14, 4\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.19, -18, -11, 7, 5, -3 in decreasing order.\nAnswer: 7, 5, -0.19, -3, -11, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 3*y**2 - 8. Let c(x) = 4*x**2 - 10. Let a(j) = -2*c(j) + 3*w(j). Let q(b) = 3. Determine -3*a(m) - 4*q(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 10*h - 212251 = 0. Suppose 4*y - h = 3*k + 3757, 6696 = -k + y. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o - 9. Let v be i(2). Suppose v*t + 2*n - 36 = n, -4*n = 0. What is the remainder when -68*(-1 - (-2)\/4) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 59. Let k(s) = -s - 60. Let n(m) = -5*h(m) + 4*k(m). What are the prime factors of n(0)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 492785 and 2463925.\nAnswer: 2463925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8*d\/((d**(1\/6)*d)\/d)*d)**12*(d**2)**45*(d*(d\/(d**(5\/3)\/d))\/d)\/(d*d**(-3\/4)) assuming d is positive.\nAnswer: d**(2497\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 27.1. What is the nearest to n in 0, -5, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36.3 + 36. Let z = 3 - 2. Which is the third biggest value? (a) o (b) 1\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 less than or equal to 94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40524, 40437, 40328, 40185, 39996?\nAnswer: 39749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1023, -2515, -4005, -5493, -6979, -8463, -9945?\n\"Answer: z**2 - 1495*z + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1274) + (sqrt(1274) - sqrt(1274)*3*-6) - sqrt(1274)))\/((sqrt(88)\/(sqrt(33)\/sqrt(3)))\/(sqrt(484)*-2)).\nAnswer: -17556*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/222 and -69\/34?\nAnswer: 3774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 887191 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.84 and 364.\nAnswer: -669.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 - 4 + 410*k + 151*k - 298*k to the form t*k + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -7*b**2 - 233*b. Let h(u) = -3*u - 128. Let r(t) = 4*t + 176. Let c(y) = 11*h(y) + 8*r(y). Calculate z(c(x)).\nAnswer: -7*x**2 + 233*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*x = 4*v + 24, 0 = v + 5*x - 16. Let s = 11 + -8. Let l be s\/12*-2 + 1. Which is the third smallest value? (a) l (b) -0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12011202 + 0?\nAnswer: -12011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 - (10 - 7) - -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 206552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 46880\/56 - 1\/7. Calculate the remainder when ((-2)\/3)\/((-18)\/c) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 806, -31 in increasing order.\nAnswer: -31, -2, 4, 806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19961 - -19960.990271. Round w to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 150785*a**3*l**2 - a**3 - 78*a**2*l - a*l - a wrt l.\nAnswer: 301570*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 5 + sqrt(2) + 0 + 5)*3.\nAnswer: 6*sqrt(2) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -u**2*w**2 + 368556*u*w**3 - 5*w**3 - w**2 + 5143*w wrt u?\nAnswer: -2*u*w**2 + 368556*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38207*n**3 - 5002*n - 8 wrt n.\nAnswer: -229242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1263 or 1276?\nAnswer: 1263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000028037 rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -300.1 - -294.1. Which is the second biggest value? (a) 2 (b) 0.1 (c) y (d) -0.026 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (36\/(-8))\/((-1)\/2). Let n(m) = 2*m + 4. Let j be n(-3). Let b = j - -8. Calculate the highest common factor of b and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150\/(-675)*(-6369399)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.14*-6.607\nAnswer: -7.53198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -144.676 and 8157258.\nAnswer: 8157113.324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 162?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3884*w + 2598 = -24590 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/19 - -11\/38. Let r = 29 + -21. Let j = r - 8. Sort j, x, 4.\nAnswer: j, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 3476?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.3 (c) 2 (d) 71 (e) 51 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 480, -3, -2\/13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 96*l - 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -14. Let n = -85.153 + 85.253. Sort 0.5, t, n in increasing order.\nAnswer: t, n, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/11))**(-36)*(j*j\/((j*j**(-3)\/j)\/j*j)*j)\/(j**(-2\/17)*j*j*j))**(-31\/4) assuming j is positive.\nAnswer: j**(228563\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + v + 1. Let b(c) be the second derivative of c**4\/12 + c**3\/6 + 3*c**2 + c. Calculate the remainder when b(-5) is divided by g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2*h**3\/3 - 23*h**2 + 14*h - 4077. Give i(-23).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 38*j - 16. Let m be (-29 - (-11305)\/385) + (-14)\/(-22). Calculate d(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3911541 + 48?\nAnswer: -39114b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6406 + -6401. Solve 0*w + n*w = p + 3, -3*p - 9 = w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 24*v + 89. Calculate x(16).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(91)\/sqrt(7) + 3*sqrt(13)*-6 + -2)**2*-6.\nAnswer: -22638 - 816*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133265 is divided by 44321.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u - 4. Let q be f(-8). Solve -6*k + q*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.9001km to nanometers.\nAnswer: 32900100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/8 - 10642901*o\/8 + 10642903\/4 = 0.\nAnswer: -10642903, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 20\/5 + (-38 - 1). Let f = r - -38. Suppose 127 + 35 = 3*s - f*d, 5*s - 3*d = 262. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1491.3 + 1417. Let h = -74.29849 - f. Round h to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k - 188. Give d(-32).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 - 18. Let a be 60\/(p\/(-8) - 4). Suppose -9*j - j + a = 0. What is the remainder when 37 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srus when four letters picked without replacement from {u: 1, r: 2, l: 1, j: 1, s: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123858 is divided by 784.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**5\/20 - 2*u**4\/3 - 10*u**3\/3 + 3*u**2\/2 - 13*u + 1. Let y be n(10). Solve -4*l + y = 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*s + 5*s + 3002 = 872 for s.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*p**4 + 5*p**3 + 2*p**4 + p - 6*p**3 as a + h*p**4 + i*p + b*p**3 + l*p**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20869 = o - 0*o - 2*u, -4*o = 4*u - 83488. Suppose 0 = -15*x + 10599 + o. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/7)\/(3275\/(-11004))\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**4\/2 - h**2\/2 + 30*h + 56. Find the first derivative of s(j) wrt j.\nAnswer: 30*j**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r = -10*r - 252 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57.5 - 43. Let t = p + -13.5. Which is the nearest to 1? (a) t (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7 + 3.3. Let k = z + -2.1. What is the closest to -0.2 in k, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = -2*i. Suppose -i*o - 4 = 3*z, 5*o = 2*z + 3 + 8. Let l = -6 + 13. Solve -l = -4*n + o for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -281b?\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -24*a - 64. Let g be a*(-5 - 1 - -12). Let o(n) = n**3 + 18*n**2 - n - 21. What is o(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 695345 is divided by 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.25273 and -973.\nAnswer: 245.90629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5999, -5905, -5707, -5369, -4855?\nAnswer: -4129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -49\/3. Let u = 4\/3785 - 34093\/26495. What is the second smallest value in a, -2, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133555 is divided by 33372.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985213693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2\/3)*2\/(-21).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from {z: 1, o: 1, a: 1, w: 2, n: 5, d: 3}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1132 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 6. Let o be z(-2). Let l(c) = 5*c**2 - c - 2. Let j be l(o). Let r(w) = 15*w + j*w - 33*w. Let b(h) = 21*h**2. Calculate r(b(t)).\nAnswer: -42*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -212 - 1?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.34? (a) -2 (b) -3\/5 (c) -1\/7 (d) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2674, 2784, 3078, 3646, 4578, 5964, 7894, 10458?\n\"Answer: 15*s**3 + 2*s**2 - s + 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 4 + 3*i**2 + 8*i**3 + 5*i - 3*i**2. Let f = -226 + 221. Let h(j) = -9*j**3 - 6*j - 5. Determine f*h(g) - 6*q(g).\nAnswer: -3*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a + 3*a - a - 2 with respect to a.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (104 - 143)*(-2)\/78?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11410 and 1184750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*s**2 - 2\/7*s**4 + 6\/7*s**3 + 0 - 6\/7*s.\nAnswer: -2*s*(s - 3)*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5597\/15 + -373. Let h be (-1)\/(-2) - 3\/30. What is the nearest to g in 0.5, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 25*d**3 + d**2 + d - 1. Suppose 28*b - 108 = -80. Give w(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n + 20. Let l(a) = a**3 + 3*a**2 + 2*a + 3. Let z be l(-2). Suppose i + z = 2*i. Solve 5*g - n = i*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -105*d + 74. Let w(t) = 53*t - 37. Let c(k) = -6*m(k) - 13*w(k). Differentiate c(u) with respect to u.\nAnswer: -59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.17 - 0.06. Let b = -0.109952 + f. What is b rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 - 123. Let i = p - -40.1. What is the second smallest value in i, -0.02, -2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 + 34*o**2 - 2*o + 40. Determine g(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 205 + -216. Is ((-195690)\/12)\/r*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3.441767g to milligrams.\nAnswer: 3441.767","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*m**5 + 715*m**4 + 6225*m**3 + 7975*m**2 - 7345*m - 7590 = 0.\nAnswer: -23, -11, -2, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) - 7\/(-3). Let m be 10\/6 - ((-133)\/(-21) - 5). Factor 1\/3*l**q + 1\/3*l - m - 1\/3*l**3.\nAnswer: -(l - 1)**2*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 22.7 (b) 2\/3 (c) 6219 (d) 15 (e) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3230 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x**(-3)\/x)\/x*x)*x**(4\/5))\/(x*x**4)**(7\/2))**(-2\/75) assuming x is positive.\nAnswer: x**(39\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**2 - l. Let v(w) = -5*w**2 - 2*w. Suppose 94*m - 103*m + 18 = 0. Determine m*v(q) - 4*d(q).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 670775 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(1 - -2)\/((-45)\/10).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**2 - 24*l + 30. What is the tens digit of a(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1519\/1274*78*(-2)\/6\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 561 + 123 + 141 - 24*k**2 + 183.\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 319494?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -61*t**2 + 47278*t - 79828768. Let w(v) = -9*v**2 + 6754*v - 11404109. Let x(f) = -16*p(f) + 108*w(f). Determine k, given that x(k) = 0.\nAnswer: 3377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -600*p - 2548 = 19052 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 255101 - 0?\nAnswer: 255101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 66, 0, -122, -318, -606?\nAnswer: -1004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, x: 10, d: 4}. Give prob of picking 3 x.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4981 to 2 decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*s + 2*s**4 + 17*s**4 + 829*s**3 - 832*s**3 wrt s?\nAnswer: 228*s**2 - 18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 612*v = 617*v - 25. Suppose 1151 - 241 = 2*w. Suppose w = 4*l - 5*z, 2*z = 3*l + v*z - 321. What is the highest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111444558 to the power of 1\/2, to the nearest integer?\nAnswer: 33338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-73)\/((-6)\/(-9) + 581\/(-840))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b56 (base 12) in base 2?\nAnswer: 1001111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -558246 by 842.\nAnswer: -663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 34\/7, 0.4, -568, -4\/5, 2, 18?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 8521.\nAnswer: 8525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -16763.805885 rounded to the nearest one hundred?\nAnswer: -16800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6027 and 13445622.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.3 and 0.11.\nAnswer: -5.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/(-20)*11250\/7200?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107502.09382 - -107503. What is m rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p - 3*o = 51*p + 6, -2*p - o = -9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8529, 8540, 8551, 8562, 8573?\nAnswer: 8584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304154?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/7 greater than -13.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 224509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l - 20. Let m = 8 + -6.2. Let w = m + -2. Which is the biggest value? (a) -0.1 (b) l (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7*o + 8 + 21*o**3 - 5*o**2 + 14*o**3 + 20*o**3 - 62*o**3. Let d(q) = -8*q**3 - 6*q**2 + 8*q + 9. Give 5*d(g) - 6*f(g).\nAnswer: 2*g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 0 - (-492 + (-11 - -7)) is divided by 100.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -244, -246, -250, -256, -264, -274?\n\"Answer: -r**2 + r - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.29 or 6381?\nAnswer: 6381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 1660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*s + 22*s + 21868 = 0. What is the remainder when 4541 is divided by s?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/(-4 + 4 + 1). What is the greatest common divisor of p and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - -0.7. Let s = 172 - 171.8. What is the closest to -2\/3 in s, -2\/17, y?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1069 divided by 666?\nAnswer: -1069\/666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose -u*k = -7*k + 45914225. Let m = 4382845 - k. Round m to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 189 and 5446?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uddddudduuuuu. Give prob of sequence ud.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 7*b - 16. Determine x(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4505.239 rounded to the nearest ten?\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -38. Let k = p + 30. Solve m - 5 = l - 0*l, -l = k*m - 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 9\/1810?\nAnswer: 9\/1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2, -33, -122, -299, -594, -1037, -1658?\n\"Answer: -5*n**3 + n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 962 is divided by 69.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 27, 44, 53, 54?\n\"Answer: -4*t**2 + 29*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(266\/(-57)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 542477.5 to the nearest ten thousand.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i**2 + 1 + 20*i**3 + 22*i**3 - 44*i**3 - 2*i**4 - 119*i**2 - 3*i as f + r*i**2 + y*i + v*i**3 + u*i**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 141740 and 141740 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 155\/279*(-9)\/(-15).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-128)\/(-576))\/((-1)\/(-6)))\/2.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1229 divide 13428506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16960109 or -0.01?\nAnswer: 16960109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -107. Let d = o + 57. Let l(a) = a + 1. Let k(b) = -b - 1. Let w(y) = 4*k(y) + 3*l(y). Let x(h) = -h + 4. Give d*x(u) + 2*w(u).\nAnswer: -3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -5, -744, 4, 53 in increasing order.\nAnswer: -744, -12, -5, 4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2\/16)\/(-3*4\/24)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebjjjrdcccddbbedc. Give prob of sequence ebje.\nAnswer: 3\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1316 + 285 = -1061*m - 521 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 49 + -57. Let y = 48 - b. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 375112?\nAnswer: 2, 46889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 44.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/15 - r**5\/30 + r**3\/6 - r**2. Let d be (-50)\/(-6) - 3\/9. Suppose 1 - d = t - 2*y, -5*y + 10 = 5*t. Determine u(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*v + 24400010, -5*j - 27818445 = -v + 2681550. What is j rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 - b**2 + b + 7. Suppose -d + 2*d - 3 = 0. Suppose 0 = -0*x - d*x. Calculate the remainder when o(x) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280492 and 4?\nAnswer: 280492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 396 and 23880604?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (57\/6 + -4)*4. Let t = g + -20. Solve -5*m - 3*i + 2 = -1, -3*m = -t*i + 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/4 - 3*r**3 - 5*r**2 + 13*r - 3. Suppose -4*l + 6*l = 20. What are the prime factors of s(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 6. Let p(q) = -6*q + 303. Let l be p(50). Let a be -1 - (x + 2 - l). Solve a*i - 4 = 5*f, 4 = 2*f - 6*i + 3*i for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(95)*4)\/((sqrt(2240) + -2*sqrt(2240))\/sqrt(7)).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 13 + -4 - -102 - (89 - 87)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - 4)*1)\/(27*(-12)\/1836)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1686406 is divided by 110?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum 428710 and -0.8061349.\nAnswer: 428709.1938651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1868416914?\nAnswer: 2, 3, 7, 13, 23, 148783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-23)\/(-92))\/((-10)\/(-32))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -120, 1, 5, 4, -2, 2 in ascending order.\nAnswer: -120, -2, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5355360 divided by -892560\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 144419 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 43112*z**2 - 129300*z.\nAnswer: -4*z*(z - 10775)*(z - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.16 (b) -3\/8 (c) 0.5 (d) -7996\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 - 1. Let l(h) = -6*h + 27. Let b be l(5). Let k be 2*(b\/3 - -2). What is r(k)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4173\/28 - 149. Let q = 13\/28 - a. Let m = 6 + -5.6. Put 2\/11, m, q in decreasing order.\nAnswer: q, m, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(212\/56 - 4). Let t = -111 + 162. Let j be t\/12 + 2\/(-8). Calculate the highest common factor of x and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 20*q - 39*q + 16*q. Let t(f) = -5*f**2. Calculate t(i(r)).\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36505 is divided by 4851.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6523 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: What is the common denominator of 79\/80 and -9\/14925040?\nAnswer: 14925040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 3 - (6 + (-6 - -1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 22 = -10*j + 9*j, -3*j + 29 = -4*o. Sort -3, 4, 18, o in decreasing order.\nAnswer: 18, 4, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:03 AM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 16) to base 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/10*2*(-214)\/144 and -77\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/2*(1 - -1). Let b be (12\/9)\/(2\/3). Is (-447 - b)*(-2 - k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2175, -2481, -2797, -3129, -3483?\n\"Answer: -g**3 + g**2 - 302*g - 1873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -2. Suppose 2*v = 2*b - 36, -s*b - v = -48 - 14. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 349*i**2 + 17*i**3 + 97 - 203.\nAnswer: 17*i**3 - 349*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 7*g + 9. Give l(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -19) + -14 + -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 8*z**2 + 8*z - 1. Let h be (102\/(-255) + 9\/60)\/(2\/(-48)). Calculate d(h).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-7)*4\/12?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 10, -5, -10, -4281 in increasing order.\nAnswer: -4281, -10, -5, 2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 1. Let q(c) be the second derivative of -2*c + 0*c**4 - 1\/20*c**5 + 1\/6*c**3 + 0 - 2*c**2. Let w be -1*(1 + -2)*1. Give w*q(k) - 2*a(k).\nAnswer: k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8805 + 8949. What is the least common multiple of 38 and t?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2. Let h = 16 + -8. Let n(u) = -8 + 8*u + 0*u + h. Calculate n(v(i)).\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-570)*(-5436)\/(-453)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2152, 8682, 19570, 34822, 54444?\nAnswer: 78442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 31623*f**3 + 15929*f**3 + 15934*f**3 as v*f + y*f**3 + n + t*f**2 and give y.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**2 - 12900*o + 54604 wrt o?\nAnswer: -6*o - 12900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 462 or 459?\nAnswer: 462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24\/13, -0.2, -58, 5 in ascending order.\nAnswer: -58, -0.2, 24\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -232610, -465233, -697856, -930479, -1163102?\nAnswer: -1395725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -148.7 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 10885552984\nAnswer: 10885552973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44036172 is divided by 60241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46251327?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a century?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*d = -195*d - 3612 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*r + 5747 = 0, 3*f - f - 3827 = 3*r. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*g = 520*g + 54 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 430, -3, -5 in descending order.\nAnswer: 430, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.02 and -3.\nAnswer: -3.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -49. Let t = v + -46. Does 22 divide 8\/(-52) - 860\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -250 - -4?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -795768 divided by 198942?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q**2 + 34*q + 35. Let d be t(6). Suppose 0 = -16*z - d*z + 780. What is the smallest common multiple of z and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1313\/(-26))*11*2. Suppose 3*j + o + 148 = 2*h, 0 = 5*h - 3*j - 3216. Is h a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pz when two letters picked without replacement from {z: 1, a: 3, p: 1, y: 3, b: 2, j: 3}.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -1427*l - 697811. What is a(-489)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 smaller than 80390\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 11:37 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + -466?\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 525 - 536. Let p(d) = -2*d**3 + d**2 + 3*d - 4. Let k(x) = 6*x**3 - 3*x**2 - 8*x + 11. Calculate r*p(h) - 4*k(h).\nAnswer: -2*h**3 + h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a1 (base 11) in base 12?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -63 - -24. Let t(n) = -13*n + 4*n**2 + n**2 + 2*n**2 - 13. Let m(a) = a**2 - 2*a - 2. Let y(v) = p*m(v) + 6*t(v). Let q(h) = -2*h**2. Calculate q(y(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -4*h + 6*x - 3*x, 0 = -5*h + 4*x + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + h = -4*b - 27, 0 = -h - 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(242) - (sqrt(242) + 0 + sqrt(242) + sqrt(242))*-1 - sqrt(242) - (sqrt(242)*1*-4 + sqrt(242))) + -4) + 2)**2*3.\nAnswer: -52272*sqrt(2) + 942348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(114)*1*-3)\/((sqrt(294) - (sqrt(294) - (sqrt(294) + sqrt(294) + 1*sqrt(294)))) + sqrt(6) - (sqrt(36) + sqrt(576))\/sqrt(6))*-3.\nAnswer: 18*sqrt(19)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mztt when four letters picked without replacement from {t: 2, g: 11, z: 4, m: 2}.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3017071 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1734 - 1714. Solve -74 = 9*k - p for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1530 (base 9) in base 11?\nAnswer: -966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert a2 (base 11) to base 9.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6720 and 31871040?\nAnswer: 223097280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7725, -6083, -4441?\n\"Answer: 1642*u - 9367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p - 6*p - 6*p + 4*p**2 + 16.\nAnswer: 4*(p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 992\/200 - 5 - (-17)\/(-85).\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4235) - (-3*sqrt(4235) + sqrt(4235)))\/((sqrt(5) + (sqrt(5) - sqrt(80)) + sqrt(5))*2))**2.\nAnswer: 7623\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420 a factor of 162550240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*c - 0*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 10, -4*b + 17 = 5*c - 14. Let y be b\/(-6) - (2 - 5). Determine x so that y*x + 2\/3*x**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 3*u + 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) + ((-69836)\/16 - 15)*-2. Calculate the greatest common factor of r and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 42 = 42*z - 43*z, -3*a + 65 = -z. Solve 13*j + 36 = a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*i - 2*v - 30 = 0, 2*i = 5*v + 39. Suppose 5*y - 3 = 2*m + 17, 3*y - i = m. Solve y*g = -0*g + 8 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w + 13. Give a(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -18*t**2 + 7*t**2 - 12*t + 7*t**2 - 8 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/15 - 10*l**4\/3 + 124*l**3\/5 - 676*l**2\/15 - 374*l\/15 + 242\/5 = 0. Calculate l.\nAnswer: -1, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 12, -10, -56, -138, -268, -458?\n\"Answer: -2*i**3 - 8*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 8:34 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 68. Suppose c*u - 23*u = -18. Which is smaller: -0.38 or u?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558827029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 5*r**2 + 2*r + 3. Let k be z(-5). Is (-1340)\/k + 12\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.15 - -10.15. Let v = -7 + s. Let u = 0 + 1. What is the smallest value in v, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 1\/(2 - -2 - 3). Let q be 4 - (0 - -1)\/(-1). Suppose -q*y + 10 = s*h - 9, 0 = 5*h - 5*y + 5. Solve h*w + 3 = -1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -259, -840, -1953, -3772, -6471?\n\"Answer: -29*q**3 - 5*q**2 - 5*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 + 134183*n + 536699. Determine b(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 848864 and 499872?\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 672.3947 millilitres to litres.\nAnswer: 0.6723947","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -204 (base 5) to base 11.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -289182?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -930*d + 65. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -43*n + 72 - 13 + 45348*n**2 - 45347*n**2 wrt n.\nAnswer: 2*n - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104 + 46 - 5*y**2 + 49.\nAnswer: -5*y**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 902*w + 1232. Is 5 a factor of a(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66\/(-99)*(-2)\/(2\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -15*x**3\/2 - 48*x**2 - 350*x. Let t be u(-6). Calculate the highest common divisor of 957 and t.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 4588, 9176, 13764?\n\"Answer: 4588*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*r + 30*r + 7*r + (2*r + 2*r - 6*r)*(1 + 4 - 4) - 37 - 38 + 75 + 211*r as y + c*r and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57 + ((-4)\/(-5))\/((-30)\/75). Let h = w - 50. Solve -2 = 4*v + 5*t, 3*t - h*t = 3*v - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15*a - 98*a + 2.\nAnswer: -83*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfgg when four letters picked without replacement from {k: 1, g: 2, f: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l - 5*b - 42, 5*l + 4*b - 70 = 0. Let x be (l + 0)*45\/10. What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - 7. What is the tens digit of m\/((-5)\/(3 - -17))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -84, -52, 4, 90, 212?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 k when two letters picked without replacement from nntnekkhkfeefenenhn?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.4669994191 + 7.467. Round c to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91367 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 3) in base 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -17. Let b(t) = -t**3 + 3*t**2 + 4*t. Give b(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 800442495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -250.6 (b) 5 (c) -0.2 (d) 0.011 (e) -1 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 340 and 1870?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 2*p - 5*p + 1. Let f be (-42)\/10 + (-3)\/(-15). Is 13 a factor of y(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 179384889*u = 179384823*u + 6732 for u.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -10*x**2. Let c(h) be the second derivative of -5*h**5\/12 + 12*h**2 - 255*h + 1. Let n(t) be the first derivative of c(t). Give m(n(a)).\nAnswer: -6250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(6 + -1) - 13 - (-5 + 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k - 1. Suppose 2*y - y = -5. Let n be s(y). Suppose -3*h - 5*l + 220 = 0, -h = 5*l - 9 - 71. Calculate the greatest common divisor of h and n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, 44 in decreasing order.\nAnswer: 44, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aiii when four letters picked without replacement from {i: 8, a: 3}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 1499950. Suppose b - 1250005 = 5*p, 0 = p + 2*p + 5*b + y. Round p to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43587 + -43582. Which is the closest to 6\/5? (a) 2 (b) -0.2 (c) 4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 16 = 4*s, 4*s - 2*c - 2*c - 28 = 0. Let x be 2\/4 - (-18)\/(-4). Let r = s - x. Calculate the remainder when r is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*k - 37, 3*k - 22 + 180 = -0*t - 5*t - 3*k + 25 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -8*q + 28 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 428220.\nAnswer: 856440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h**2. Let f(q) be the third derivative of q**6\/720 + q**4\/2 - 13*q**2. Let n(k) be the second derivative of f(k). Give n(m(i)).\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**9\/56 + 3*q**5\/10 + 10*q**2. Find the third derivative of l(u) wrt u.\nAnswer: -1080*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.878726 weeks in minutes?\nAnswer: 8857.55808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*t = -51, 3*d + 5*t - 5 - 7 = 0. Let f be (-2)\/(-7) + 346\/14. Suppose -4*a = -d*a - f. Put 2, -4, a in descending order.\nAnswer: 2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*g**5*h**2 - 23*g**3*h*o**3 + 175*g**2*h**2*o**3 + 2*g**2*o**2 - 15*g*h**2*o**3 - 2*g*o**2 wrt g.\nAnswer: -960*g**2*h**2 - 138*h*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 7. Let y be 19\/p - (-7)\/(-28). Let d(h) = 2*h**2 + 5*h. Is d(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.0843, -0.26?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/21)\/(a\/(a\/((a*a**3\/a*a)\/a))))\/(a*a**(2\/57)*a\/(a**(15\/8)\/a)) assuming a is positive.\nAnswer: a**(-13127\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyh when three letters picked without replacement from {j: 1, y: 2, e: 2, u: 1, h: 4, m: 4}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.013, 3, -3, -8, -12\/13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6637?\nAnswer: 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8881320 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.6 - -0.3. Let i = u + 2.2999962. Round i to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11206873*t**2 - 7089603*t wrt t?\nAnswer: -22413746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*b**2 - 26*b**6 - 7*b**6 + 49*b**6 wrt b.\nAnswer: 1920*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + -2)*-1*7. Let r be ((-2)\/7)\/(1\/i). Find p such that -5 - 5*p**r + 5 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 3*i + 4*d + 4, 3*i + 2*d = 18 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540168 and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3405098 is divided by 193?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0*a - 70. Let o be a\/(-21) + ((-42004)\/3)\/2. What is o rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19.4 times -326.9\nAnswer: -6341.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 307947656.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-16 - -17 - -4)) + (0 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:54 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2. Let o(m) = -80*m - 22. What is -12*g(k) - o(k)?\nAnswer: 80*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - y - 1. Let w be a(-3). What is the least common multiple of 2 and w - ((-9)\/3 + 6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 263.08 + -262.2. Let p = -12.72 + 13. Let m = p - q. Is 1\/4 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zzllzzwlzlzzzzlzl?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*z**3 - 7*z**3 + 0*z**4 + 4*z**4 - 3*z**4 as x + r*z**4 + f*z**2 + j*z + c*z**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 0, 2, 566 in descending order.\nAnswer: 566, 2, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/15)\/t*((t\/(t*t\/t**11))\/t)\/t)\/(t**(2\/89)\/t)**5 assuming t is positive.\nAnswer: t**(15959\/1335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -1 (b) 22.472 (c) 0.4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -149 (b) -5 (c) -1.4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 975, 1943, 2911, 3879, 4847, 5815?\nAnswer: 6783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136872 divided by 24.\nAnswer: -5703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2))\/p**13)**(1\/51)\/((p*p*p\/p**2)**(3\/7)\/((p*p\/p**8*p)\/p*(p\/(p*p**2))\/p*p*p)) assuming p is positive.\nAnswer: p**(-5479\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/m**(8\/5)*m))\/m*m**(-4\/9)*m*(m*m**(-2\/3))\/m**12 assuming m is positive.\nAnswer: m**(-563\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144921?\nAnswer: 3, 7, 67, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4448 is divided by 223?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5144206 litres in millilitres?\nAnswer: 514.4206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1732*a = -1659*a + 146. Let p(o) = -2*o + 3. Let h be p(2). Sort a, h, 3 in decreasing order.\nAnswer: 3, h, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1029932521?\nAnswer: 1029932521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 5, j: 8, t: 5}. Give prob of picking 1 j and 1 c.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 214?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*2 - (-3 + 3). Let n(u) = -u**2 + 7*u + 7. Let t be n(f). Is 116\/4 + (t - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/9 - (-1064)\/171. Suppose -4*r - 4 = -36. Let p = r - d. Solve -b = 5 - p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(475) + 0 - sqrt(475))*-2 - -2*sqrt(1539)*-6)**2.\nAnswer: 443232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10699 is divided by 5345.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*j**3*m**2 + j**3*m*v - 12*j**3 - 7*j*m**2*v - 29*j*m*v + 2*j wrt j.\nAnswer: -96*j*m**2 + 6*j*m*v - 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + -170. Are r and -26 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8872 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: Let h be (-4)\/(-4*1 + 2). Let m(z) = -3*z**2 - z - 1. Let j be m(h). Calculate the remainder when j\/2*96\/(-30) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58*l + 34*l + 25*l as o*l + s and give o.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/7, 165.24606, 2\/25?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 317215?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -4 + 3\/8*h**5 + h**4 + 6*h - 3\/2*h**2 + 1\/4*h**3. Let j(t) be the first derivative of x(t). Factor j(d).\nAnswer: 3*(d + 1)**2*(5*d - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = 11*z + 6 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**4 + 2*h**4 - h**4 - 2*h**4 - h**4 + 2*h**4 - 2 + 2 - 2*h**4 + (-h**3 + 2*h**2 - 2*h**2)*(-h - 1 + 1) + (4*h + 2 - 2)*(4*h**2 + h**3 - 4*h**2).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1656478?\nAnswer: 2, 828239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -7.\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2746\/7 - -391. Sort d, 2, 5.\nAnswer: d, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 6*k - 4. Suppose 14 = r + r. Let g be l(r). Suppose -3*o = 2*o - 2*p - 11, 12 = 2*o + g*p. Solve o*v = v + w - 5, -4*v - 3*w = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 48\/11?\nAnswer: 48\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1923, -3585, -5247, -6909?\nAnswer: -8571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 12) in base 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3055*r + 1652*r + 50059 - 83011 = -400098 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -79*k - 14. Calculate c(1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.2, -4, -57\/155?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/991678 and 14\/4743.\nAnswer: 276678162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5 - 17, -4*o + 2*j = -6. Which is smaller: -5\/4 or o?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6780035.\nAnswer: 5, 1356007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1 - 2) + 2)*-11. Let k(s) = -5*s + 11. Let h(b) be the second derivative of -b**3\/3 + 2*b**2 + b. Give j*h(w) + 4*k(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {u: 7, k: 1}.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1384593*w**4 - w**2 - 40129166*w?\nAnswer: -16615116*w**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14976 = -43*i + 67*i. Calculate the highest common factor of 72 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -13. Calculate the common denominator of 195\/48*(-8 - -4) - -1 and 146\/20 + f + 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m - 8. Suppose 55 = -5*i + 3*w, -2*w = -5*i - 31 - 19. What is the units digit of v(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 - 2*u - 1. Let r be n(-1). Suppose r*i - 3*i + 1 = 0. Is i at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 12072*i**2 - 77*i + 151. Is q(2) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.9 - -177675096.9.\nAnswer: 177675113.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1206813?\nAnswer: 3, 17, 23663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 3*n**2 - 1 - 2*n**2 + 2*n**2. What is the units digit of y(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/((-792)\/11))\/((-2)\/18)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -20. Let m = 22 - c. Let h be 1\/1*1*-5. Sort m, h, 2 in descending order.\nAnswer: m, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3*o + 14 + 4, 3*g = 2*o - 13. Let j(w) = 67*w + 1. Let d be j(g). Does 11 divide (d\/8)\/((-4)\/16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c + 2*c**2 + 0*c - c**2 + 2. Let i be h(-3). What is the highest common divisor of 6 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -14, 164, 9399 in increasing order.\nAnswer: -14, 0, 164, 9399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*x + 72*x - 72. Suppose -v + x = 4*q - 5*v, 5*q + 4*v = 12. Solve 19 = 5*g + 4*i, -5*i = q*g - 3*g - 8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/8 (b) 5 (c) 499\/6 (d) 0.5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 540 (base 15) in base 16?\nAnswer: 4a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -141178 at most as big as -141099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2296 and 1064?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 3339.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3366*a - 8441*a + 409140 = -442*a for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463608 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**5\/15 - 17*r**4 - 206*r**3\/3 - 310*r**2\/3 + 222*r. Factor b(t).\nAnswer: 4*(t - 155)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*g + 7*g + 0*g)*(4 + 4 - 5) + (0*g + 2*g - g)*(-4 + 1 + 2) - 5 + 2*g + 5 as j + r*g and give r.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Suppose -2*h - 3*r - 2*r = 10, 4*h - 36 = 4*r. Suppose -h*i = -2*o - o, -1 = -2*o + 3*i. What is the smallest value in l, o, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {o: 1, g: 1, j: 4, y: 1, b: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -176*q**3 + 370*q**3 - 186*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 5*i**2 + 3*i - 4. Let a be v(-3). Suppose 3 = a*u + 3*j + 9, u - 4 = 2*j. Which is smaller: u or 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1\/9, -13, -143, -6.1, -3 in descending order.\nAnswer: 1\/9, -2\/7, -3, -6.1, -13, -143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 8*j**2 + 12*j + 59. Give t(-10).\nAnswer: -1861","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -3*f**5\/20 + f**2. Let w(b) = b - 1. Let o(g) = 2*g - 3. Let l(j) = 2*o(j) - 6*w(j). Determine l(n(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 9*w**6\/5 - 13*w**5\/12 + 74*w**2. What is the third derivative of h(a) wrt a?\nAnswer: 1296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -7d309c?\nAnswer: 7d309b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 6:38 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 139\nAnswer: -69.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**19*(((j\/j**(-27\/4)*j)\/j)\/j)\/j)\/((j*j*j**0*j*j)\/j)**(-44\/3) assuming j is positive.\nAnswer: j**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-15) + 568\/(-20). Let y = o + 30. Put 7, y, 4 in increasing order.\nAnswer: y, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/(-40) - (-48)\/10. Suppose -5*q + 5*p + 20 = 0, 2*q + 0*q - p = 11. Let m(w) = -w + 10. Let r be m(q). Solve -7*j - d = -r*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*m - n, 57 = m + 2*n + 56 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 53 - 29 = 0. What are the prime factors of l?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 369 = 128*f + 192 - 591. Let b(g) = 6*g - 16. Calculate b(f).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of -10*k**3\/3 + 40. Let t(s) = 3*s. Determine o(t(g)).\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*j - 73*j - 74*j - 815*j**2 + 210*j - 476*j**3 wrt j.\nAnswer: -2856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 100736*h*r**3 - 3*h*r**2 + 9*h*r - 2*r + 32 wrt r.\nAnswer: 604416*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 + -20000?\nAnswer: -15524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 0 + 4\/3*x**3 + 1\/240*x**5 + 1\/720*x**6 + 8*x**2 + 0*x - 1\/24*x**4. Let y(v) be the first derivative of q(v). Factor y(w).\nAnswer: (w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 - -126?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24840 by -1380.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1568*v**4 - 3376380*v**3 - 1786611528*v**2 + 33493139200*v - 4158720000 = 0.\nAnswer: -7600\/7, 1\/8, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 2139, -3, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12213 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 523 and -0.953.\nAnswer: -498.419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/3 - 7*b**4\/3 - 19*b**3 + 455*b**2\/3 - 392*b\/3 = 0. Calculate b.\nAnswer: -8, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 2*k = 86, -12*s - 10*s + 13 = -20*s - 3*k for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92282293 - -61882293. Round n to the nearest 1000000.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 19*i - 2. Let t be s(2). Suppose -6 + t = 2*a. Suppose 0 = 2*g - 6*g + 116. Calculate the remainder when g is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 1 + -2 + -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 23, -3\/5, 17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 12) + 19 - (3 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 120 and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 401569788 to the power of 1\/2, to the nearest integer?\nAnswer: 20039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + q - 21. Suppose -u - q = -2*u. Suppose u*l - 16 = 3*l. Solve l*d = -j + 1 + 4, 0 = j - d + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 8:20 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -6*m**2 + 41*m + 61. Let p be a(8). Let i(k) = -7*k**3 + 6*k**2 - 3. Let j(y) = -3*y**3 + 3*y**2 - 1. Determine p*j(f) - 2*i(f).\nAnswer: -f**3 + 3*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 513, 334, 13, -468, -1127, -1982?\n\"Answer: -3*d**3 - 53*d**2 + d + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 96512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**6 + 1\/30*o**7 + 17*o**2 + 0*o**4 + 0 + 1\/5*o**5 + 0*o**3 + 0*o. What is the third derivative of c(s) wrt s?\nAnswer: 168*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (3 - 3))\/(-2) - -24. Suppose v + 3*w - d = -2*v, -2*v - w = -13. Let f = -10 - -5. Which is the closest to -1? (a) v (b) -1\/2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/4))**(-1\/40)\/(p*(p**(-2\/39)*p)\/p*p**(2\/25)))**(-2\/21) assuming p is positive.\nAnswer: p**(31901\/327600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 6:05 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 354432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiidindkkknnkni. What is prob of sequence nidk?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 4*y**3 + 2*y**3 + 2*y**2 - 10 - 1 + 2*y**4 in the form l*y + c*y**4 + w*y**2 + i + r*y**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c**2 + 4*c. Let s be 10\/4*(-3 + 1). Is h(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 26922 + -6b?\nAnswer: 26884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 407, 1353, 3185, 6197, 10683?\nAnswer: 16937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.33. Let q = t + 0.09. Let w = q + 4.94. What is the third biggest value in -2, 1, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-22)\/(-3))\/1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*r**2 - 3*r + 3*r**4 - r**3 + 49*r**2 as q*r + h + d*r**3 + x*r**2 + j*r**4 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -9*b**2. Let f(s) = 49*s**2. Give h(f(o)).\nAnswer: -21609*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/5, -9, -4.\nAnswer: -9, -4, -2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -x**4 + 4094*x**3 + 476407*x**2 + 13904248*x + 13431936 = 0. What is x?\nAnswer: -57, -56, -1, 4208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -5*n + 10995, -6*n + 2*f + 8794 = -2*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*b**2 - 1\/4*b**5 - 1\/2*b**3 + 0*b - 3\/4*b**4 + 0.\nAnswer: -b**3*(b + 1)*(b + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l\/l**3)\/l))**(-29))**8 assuming l is positive.\nAnswer: l**(-696)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 5) to base 15.\nAnswer: 1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 + 6 = 0. Let h be ((-12)\/10)\/(x\/(-15)). Find the second derivative of h*j**2 + 2*j - 4*j - 5*j**2 - 4*j**2 wrt j.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6406370 to the power of 1\/2, to the nearest integer?\nAnswer: 2531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -231 - -236. Let s(j) = 43*j - 11*j - 26*j - i. Let w(n) = 7*n - 6. Suppose 7*z - 2*z + 3*y = -20, -3*y + 12 = -3*z. Calculate z*w(l) + 5*s(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -5, -4, 502, 2, 3, -1 in increasing order.\nAnswer: -5, -4, -1, 2, 3, 4, 502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + l - 1. Let x(f) = -15*f**3 - f**2 + 3*f - 3. What is -x(k) + 3*y(k)?\nAnswer: 12*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 28013003 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1776 + 2*h**3 - h - 1776.\nAnswer: 2*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + -4618.\nAnswer: -4620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 - 0.05. Which is the third smallest value? (a) n (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.15, 8, -0.4, 1 in ascending order.\nAnswer: -0.4, 0.15, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152187781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*h = 4, o - 3*h = -o - 2. Suppose 24 = z + o*z. Let g = z - 2. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4205035, -4205013, -4204991, -4204969, -4204947?\n\"Answer: 22*y - 4205057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 104 + 16. Suppose -5*v + 175 = t*v. Solve -13 - v = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 483 = -36*x + 555. Solve -x*j - 10 = -g, 8*g = j + 5*g + 10 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 3, 6.\nAnswer: -12, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7*(-11)\/693 + 0. Which is the third biggest value? (a) 4 (b) 1\/2 (c) p (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 5416\/(-1))*(-24)\/60. Suppose -10*h = -2208 + p. Factor -3\/2*z**3 + 3\/2*z + 0*z**2 + 3\/4*z**h - 3\/4.\nAnswer: 3*(z - 1)**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1461516165?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.3, 1\/5, 14 in decreasing order.\nAnswer: 14, 2\/3, 1\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t + t - 6*t + 4*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223646940.\nAnswer: 2, 3, 5, 11, 23, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 227747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0056355 rounded to 4 dps?\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*h**2 - 9 + 2 to z*h + w + g*h**2 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1028734 a multiple of 394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -15040 divided by -5\nAnswer: 3008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1273 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h + 17. Give y(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 783, 1567, 2351, 3135?\nAnswer: 3919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1218\/(-15))\/((-1)\/(10 + -5)). Suppose -2112*b + 2119*b - m = 0. Calculate the remainder when 96 is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/18 and 19\/6130816.\nAnswer: 55177344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -5*j - 11. Let z be f(-9). Let o = -31 + z. Solve -5*k = 23 - o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 434 and (17577\/12)\/(-9)*((-448)\/(-6))\/(-14).\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 9*v. Let u(i) = -2110*i - 4. Give u(q(o)).\nAnswer: -2110*o**2 - 18990*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - -5 - 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2343128?\nAnswer: 2, 229, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 2*i**3 - 2*i**3)*(i**2 - 4*i**2 + i**2) + (-1 - 4 + 3)*(i**5 - 5*i**5 + i**5).\nAnswer: 12*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 805 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 7 - 0. Let z(l) = 1 - 1 + 4*l. Is z(b) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 657, -2, -5.\nAnswer: -5, -2, 657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 31*c**2 + 5*c - 4867. Let l(s) = 49*s**2 + 8*s - 7300. What is -5*l(k) + 8*o(k)?\nAnswer: 3*k**2 - 2436","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -364*n + 698*n - 653*n as a + g*n and give g.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301124.\nAnswer: 2, 83, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 88*q**2 + 52*q**2 + 46*q**2 - 12*q**2 + 5. Let c(p) = -9*p**2 - 4*p + 20. Determine -6*c(n) + 26*f(n).\nAnswer: 2*n**2 - 2*n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257 + -154. Let m = f + -102.6. Sort m, 1\/3, -8.\nAnswer: -8, 1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 2*s + 218, -2*a + 8*s - 3*s = -113. Suppose 3*i - 5*n + 20 = a, 22 = i + n. Calculate the remainder when 75 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 27*u - 5. Let v be d(12). Is 318 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 4*a - 163, 4*n - 3*a = a + 208. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 - 8 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1596959*q + q**3 + 1596959*q + 2.\nAnswer: q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-14)\/35 + (-1584)\/(-10) and 7 + 3 + -7 + 7?\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4824 - 0.0824. Which is the fourth smallest value? (a) s (b) -173 (c) -2\/15 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-39)\/t**(9\/5))**(-10) assuming t is positive.\nAnswer: t**408","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 10 = 26. Let l(a) = 7*a**2 - a + 2. Let b be l(1). Let z be ((-8)\/n)\/(b\/(-2)). Sort 4, 2, z.\nAnswer: z, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/171*135\/810?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(147)\/sqrt(3) + sqrt(49))\/(sqrt(175)*-4) - (sqrt(4235) + 3*sqrt(4235))\/(sqrt(5) + sqrt(25)\/sqrt(245)))**2.\nAnswer: 1048383\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + j**2 - 3*j**2)*(-2 + 10*j + 2)*(0*j + 4*j - j) + 0 - 2*j**4 + 0 + (-3*j**3 + j**3 + 3*j**3)*(0 + 0 - 2*j).\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -i*j**3*p**3 + 9*i*j**2*p**3 + i*j*p**2 + 777*i - j**3 - 2*p**3 wrt p?\nAnswer: -6*i*j**3 + 54*i*j**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 557046792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.132 - -2.132. What is the third smallest value in 1.2, -2\/11, u, 0.5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6288806.\nAnswer: 2, 3144403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 453?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v**2. Let n be h(-1). Let f be 139\/n*(1 - -1). Suppose -2*s + f = -w, -5*s = -w - 3*w - 340. Calculate the greatest common factor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 7:01 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**3 + 6*c**2 + 27*c - 27. Let o be n(8). Suppose 3*g - o = 5*q, 5*q + 19 = g + 2*q. What is the greatest common factor of g and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 4 (b) -0.97 (c) 0.1 (d) -1\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide (1426\/8)\/(19\/380)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 200, 322, 462, 626, 820, 1050?\nAnswer: 1322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-4)\/(s*s\/s**37)*s**(-18\/11)\/(s*s**(-1\/63)*s) assuming s is positive.\nAnswer: s**(18974\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 649612\/12280 + 3\/(-10) + (-2)\/(-5).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/150080 and 85\/368?\nAnswer: 3451840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 5, -5 in ascending order.\nAnswer: -5, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.05 (b) 0.06 (c) 0.74 (d) -0.4 (e) -1 (f) 40 (g) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-1 - -3) - -1. Let w(c) = -j - 3 + 6 + 2*c. What is the units digit of w(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9019546 + 34798932 = 794*g. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkkk when four letters picked without replacement from {t: 9, k: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of 2\/3*d**3 + 4*d - 2*d**2 + 0. Give h(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - r**3 + 0 + (r**2 - 7*r**2 + r**2 + 2*r)*(-3*r + 2*r + 2*r).\nAnswer: -6*r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 7. Suppose 7*c + 5*c + 12 = 0. Let b(p) = 3. Let y(t) = -7. Let k(s) = 5*b(s) + 2*y(s). What is c*i(f) + 5*k(f)?\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 2*n - 42, -57 + 174 = 5*m + n. What is the lowest common multiple of 408 and m?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c*c**(-25)\/c))*c\/(c\/(c\/(c\/(c*c**(-6\/13)))*c)))\/(c\/((c*(c\/c**17)\/c*c)\/c)*c\/c**(-16)) assuming c is positive.\nAnswer: c**(-747\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7458 - -7458.5. What is the fourth biggest value in y, 0.07, 2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 7, u: 9}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c - c - 2*c - 1 + 1 - c + 2*c - c + 0*c + (1 + 1 - 4)*(c + 0 + 0) + 2 - 2 + 2*c + 6*c - c + 6*c.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -223.04 (b) -5\/4 (c) 0 (d) -0.42 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3, 414.8, 0.3.\nAnswer: -3, -0.2, 0.3, 414.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 12*n**3 + 924*n**2 - 130*n - 9998. Determine s(-77).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 82434.\nAnswer: 329736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 25 = 24*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 479285653227 and 0.3.\nAnswer: 479285653227.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/11 + 5\/((-20)\/(-26)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -344 = -w + 8*a - 4*a, -a = 5*w - 1846. What is the greatest common divisor of w and 800?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24633.1792 + -24634. Round v to two decimal places.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2*r + r = -9, -13 = -5*s - 2*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/5)\/2*-25*1173\/1020?\nAnswer: -23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 350487 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -b**7\/16380 + b**6\/520 + 5*b**4\/6 - 36*b**2. Let v(r) be the second derivative of k(r). Factor v(t).\nAnswer: -2*t*(t - 9)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -3*c**2 + 9. Let y(f) = 11*f**2 + 7*f**2 - 16*f**2. What is k(y(l))?\nAnswer: -12*l**4 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-150))\/(1*(-4)\/10).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(448)*2)**2 + -2 + -5.\nAnswer: 5369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a century?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 14, y: 1}.\nAnswer: 11\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51261765.\nAnswer: 3, 5, 193, 17707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*h, v - 4*h - 786 - 289 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54 - (7 + 13)) + (-10 - -1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-16)\/6 + 28\/42. Does 31 divide (-92)\/(-230) + -218*o\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*c + 738 - 1541 - 330*c + 757.\nAnswer: c - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31.77 and -23609.\nAnswer: 750057.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 8) to base 10\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) 2\/7 (c) -258.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2045 from 2335111.\nAnswer: 2337156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 b when three letters picked without replacement from byybybb?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-5)*h**(-1\/4))\/((h\/h**0*h)\/h**(-2\/21)))\/((h**(1\/9)*h*h**(-2\/23))\/(h**2)**(9\/4)) assuming h is positive.\nAnswer: h**(41329\/5796)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4966773, 4966728, 4966681, 4966632?\n\"Answer: -z**2 - 42*z + 4966816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.2 (c) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002 (base 3) to base 14.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Suppose -h*k + 88 = 2*k. Let b = k + -16. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 1826786169845\nAnswer: 1826786169844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 16*l - 34. Let r be y(14). Let t(c) = 2*c + 12. Let p be t(r). Solve p = -k - 2 - 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 15*n - 9*n. What is the smallest value in 0, 0.5, 2, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*t - 37 + 5 = 0, 4*v + 36 = -2*t. Let h(u) = -9*u - 19. What are the prime factors of h(v)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1872.68663054499 less than -0.03?\nAnswer: -1872.71663054499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - 2*h. Give p(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 240*a**2 + 4*a + 3. Let t be x(-2). Let j = 44881\/47 - t. Is j bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 275.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*c - 453 = 0, 2*c + 2 = -0. Suppose 3*o - 2*o + 3*d = -q, -2313 = 5*o + d. Let l = -126 - o. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.0054 + -2.98. Let c = g + -234.0254. Let t = c + 234.00133. Round t to four dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/9, -0.02146, -2\/15?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 151*c - 516 - 542 + 1098. Is x(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2, 0.4, -0.05, 0.5, 111.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 0.1. Let q = z - 0.7. Sort 1\/4, -2, q in descending order.\nAnswer: 1\/4, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 5*s**2 + 0 - 2\/3*s**3 - 1\/4*s**4 - 1\/120*s**6 - 1\/20*s**5 + 0*s. What are the prime factors of a(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 18, 3753, 2, -0.06.\nAnswer: -0.06, 0.4, 2, 18, 3753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5935 + 23755\/4. Factor 9\/2*k - 9\/2*k**3 - q + 3*k**2 + 3\/4*k**4.\nAnswer: 3*(k - 5)*(k - 1)**2*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {q: 4, b: 1, h: 10, d: 5}.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1\/4, 2, 1, -2 in decreasing order.\nAnswer: 2, 1, 1\/4, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -15 - (0 - (-43 - -30))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**3 + 12359742*g + 28005424.\nAnswer: 3*g**2 + 12359742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -470 - -506. What is the remainder when 226 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 244*p**2 - 751*p + 64. What is w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3759 + 6157. Let h(x) = -17*x**3 + 6*x**2 + 4*x + 1. Let l be h(-4). Let c = q - l. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 49 = -7*x, 8894*x = 8891*x - 15 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.986659786 to four dps.\nAnswer: -2.9867","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 149\/2. Sort -1\/6, -2, x in ascending order.\nAnswer: -2, -1\/6, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q + 6*q - 2*q**2 + 1 - 3*q - 2. Let i(t) = -t - 1. Determine -i(h) - v(h).\nAnswer: 2*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/10)*a)\/a**10 assuming a is positive.\nAnswer: a**(-93\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -329\/19 (c) -8\/9 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 382 + -290. Calculate the highest common factor of 391 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2367237228 to the nearest integer?\nAnswer: 1333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n - 4 = 0. Let t be -3 + 6 + 2 + 1. Let r = t + n. Solve 4*u = -r + 23 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129492.\nAnswer: 2, 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -561 - -0.62637\nAnswer: -560.37363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 100436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -172\/2729 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5, 31, -120, 1\/437?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 79420, 158642, 237866, 317092, 396320?\n\"Answer: x**2 + 79219*x + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(3\/5)\/b))\/b**(-6)*(b**(1\/2))**9*(b**3*b*b*b*(b\/(b**(-1\/13)\/b))\/b)**(-9) assuming b is positive.\nAnswer: b**(-6733\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 66 - 66. Let x = -563\/5 + 113. Which is the smallest value? (a) x (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388424 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(891)*-4)**2 - (sqrt(891) + 3)*2*-5.\nAnswer: -1350*sqrt(11) + 71390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 56 + -55.946. What is k rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 + -82. Let v be (-2)\/(-8) + (-750)\/r. Suppose 0 = 3*c - v - 53. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-252 + 252 - 96*l + (3*l + 3*l - 4*l)*(6 - 3 + 0) - 3*l - 2*l + 4*l)*(4 + 2 - 3).\nAnswer: -273*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134649?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 3:52 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 93*j**2 - 7*j + 5. What is the tens digit of f(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 406342 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.4, 1\/2, 20\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ggggggagaaagaagaaag?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9605\/55049?\nAnswer: -9605\/55049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3)*g)\/g**3)\/(g*g\/g**(3\/4)*g*g)**(-2\/143) assuming g is positive.\nAnswer: g**(-109\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 900 - 4469\/5. Let b = 212\/35 - p. Sort b, -0.1, 2.\nAnswer: b, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgg. Give prob of sequence gr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 + 6*n**2 + 14*n + 8. List the prime factors of x(-6).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 5*q**2 - 32)*((3 - 1 + 0)*(q - 4*q + 4*q) - 13*q + 0*q - 5*q) + 2*q**3 + 2*q**2 - 2*q**2.\nAnswer: -78*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - j - j**4 - j**4 + 2*j + (-228*j - 18*j**3 + 228*j)*(0 + 0 + j) + 4*j**4 + 0*j - 2*j - 8*j**4 to g + r*j**4 + f*j**3 + t*j**2 + b*j and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 231680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(924\/88 + -10). Factor -4802*v - 2\/3*v**3 - 98*v**h - 235298\/3.\nAnswer: -2*(v + 49)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -17677 (b) -0.03 (c) -1\/199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.65, 138, -1?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 225 = -9*k. Is k a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41738140783 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxooxooooxoox. Give prob of picking 2 o and 2 x.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243\/7 + 6\/21?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 65 = -6*j + 8*j, 0 = j - l - 36. Calculate the remainder when j is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3374482384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130312 + -1311330330?\nAnswer: -1311200012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/((-1014)\/(-18)))\/((-3)\/2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2533 - 10229\/4. Let w = -5350\/1413 + 4\/471. Calculate the common denominator of a and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 130. Let s(m) = 2*m**3 + 5*m - 2. Is 12 a factor of s(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -335 (b) -2\/43 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -8*d - 1. Let m be q(-3). Let a be 3536\/14 - (-6)\/14. What is the greatest common factor of m and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + -1)\/(7\/28*-3). Let p(n) = n**3 + 4*n**2 - 8*n - 7. Let o be p(-5). Sort -2, o, a in descending order.\nAnswer: o, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115 - 118. Let p be (-10)\/l*3*8\/10. Calculate the greatest common divisor of p and 248.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4\/5, 2, -5, 0, 0.3, -18 in increasing order.\nAnswer: -18, -5, -4\/5, 0, 0.3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Factor -682*t**3 + 5652*t**2 - 12480*t + 3136.\nAnswer: -2*(t - 4)**2*(341*t - 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3 - 4*x**2 + x**2 - 1 + 2*x. Let r(k) = 10*k**2 - 7*k - 7. Suppose -15 - 6 = -3*g + 3*y, 19 = 4*g - y. Calculate g*r(b) + 14*n(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**2 + 5\/3*d**3 - 40 + 0*d. Let o(s) be the second derivative of s**3\/2 + 2*s. Calculate y(o(l)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4321615\/78635508 - -31\/25301. What is the common denominator of -29\/48 and j?\nAnswer: 12432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 96*w + 91*w = -69, w = 1 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 4\/5, -31, 1.9, 83\/2 in decreasing order.\nAnswer: 83\/2, 1.9, 4\/5, -0.3, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7127 is divided by 712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1515, -1527, -1553, -1599, -1671, -1775?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70317 is divided by 35026.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -2 - (24 + 19 + -75 - -8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 63886010 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 + 149 + 25*u)*(-u - 2*u - 3*u)*(-4 - 2 - 1).\nAnswer: 1050*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35573?\nAnswer: 35573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -29*m**2. Let o(p) = -p. Calculate o(r(t)).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + 10. Let w = r - 28. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 4 - 2) + -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + -2*(-1*sqrt(228) + sqrt(228)) + sqrt(228)))\/sqrt(12) + 1*(sqrt(19) - (0 + sqrt(19) + -4)).\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -370700 rounded to the nearest ten thousand?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of k**4\/3 + 8*k**3\/3 + 28*k**2 + 2*k + 11. List the prime factors of b(-7).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4 - 3. Let l = 84303\/5 + -16948. Let g = 87 + l. Which is the nearest to p? (a) g (b) 1\/5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 211 + 14?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219141288 by -33048.\nAnswer: -6631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 67 - 61 = 0. Let n be (-10)\/20*(1 - 1). Suppose n = -0*d - d + 3*m + 8, 2*m = -d + 13. Solve d*q + 25 = z*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 4*x + 13, 3*m - 3*x = 280 - 274 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 19*o - 39. Calculate u(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(1 - 3))\/(2 + -3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 1 + (1 - 3 + 1)*(2 + 1 - 1) + (-4 + 11 - 4)*(5 + 1 - 4))*(3*y + 0*y + 0*y).\nAnswer: 15*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3460, 3458, 3456, 3454?\n\"Answer: -2*r + 3462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.1 + -12.6. Which is the closest to 1\/2? (a) u (b) 0.4 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.072628 - 62482.072628. Let g = x - -62492.0044. Let f = g - 10. Round f to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8417219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -72592 greater than -72592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -344658*s*t**3*y**3 - 3*s*t**2*y + 313*s*t*y + 149*y**3 wrt t?\nAnswer: -2067948*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l*u**4 + 449*l*u**3 + 119*l*u**2 + l*u + l - 29556*u**4 - 34870*u**2 - 2*u + 3 wrt u?\nAnswer: -120*l*u + 2694*l - 709344*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 527175 divided by 58575\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-2 + 3)*1. Suppose -v*z + 109 = 3*o, 0*z = -5*z - 4*o + 136. Let l be 3\/(-9) - z\/6. Which is the biggest value? (a) 0.3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + f**2 - f - 4. Let y(g) = -g**2 + g + 1. Let k(t) = u(t) + 3*y(t). Let b be (4\/8)\/(4 + 35\/(-10)). Determine k(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -39*a**2 + 45*a - 58. Give d(2).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 12 = 38. Suppose -m = -0*o - 5*o. Suppose 3*h - 4 = -4*d, -4 = 3*h + 8. Solve r + 3*k = -d*r + 27, -4*k = o*r - 22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by 10161\nAnswer: -28\/10161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5295 + -1943. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-1 + -26 - -17).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*r**2 - 20 + 37 - 17 - 187*r**2 + 69*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28.9876 - -29. Round k to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/36*3 + (-36663)\/1452?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 130 + 19 = 99*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f**2 - 112*f + 11. Determine c(5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16850)\/60*2\/20 - (-7)\/84?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21821, 21820, 21819, 21818, 21817?\n\"Answer: -w + 21822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102 + -107.7. What is i rounded to zero dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92 and 2767153.\nAnswer: 11068612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -3*n + 46, 335*t = 332*t - 6*n + 10*n - 49 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -34, -789, 0.09, 0.5, -3\/4, 2\/5?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 230 and 3497035.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + a?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -624.96 - -625. Let o = 0.08 - s. Which is the biggest value? (a) -0.5 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1, 19, 55, 97, 133, 151, 139?\n\"Answer: -2*o**3 + 21*o**2 - 31*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1097853182 take away 5.6?\nAnswer: -1097853187.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 3\/16*c**4 + 1\/4*c**5 - 1 + 0*c**2 + 0*c - 1\/6*c**3. Suppose j(i) = 0. Calculate i.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16363140*a**3 - 10880054*a wrt a.\nAnswer: -98178840*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/9 - 3*y**2 = 0. What is y?\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1818)\/15352)\/(18\/96)?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 604, 650, 728, 844, 1004, 1214, 1480?\n\"Answer: k**3 + 10*k**2 + 9*k + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -750.49.\nAnswer: -751.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 410 - 410. Put 6, -4, p in descending order.\nAnswer: 6, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118567 divided by -853.\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 - 7*u**2 - 2*u + 21. Let v be g(-4). What is the hundreds digit of (-21)\/v + (-6103)\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3)**(-2\/31)*r**5*r\/(r*r**(-21\/5)) assuming r is positive.\nAnswer: r**(1396\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -175 + 182 + (-5 - 3) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -88. Let b = z - -21.5. Let p = 7.1 + -7. What is the nearest to 0.1 in p, b, 1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8995 or -9009?\nAnswer: -8995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55966159 or 55966158?\nAnswer: 55966158","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4352 is divided by 543.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 1, l: 4, h: 1, w: 3}. Give prob of picking 1 w and 1 l.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqi when three letters picked without replacement from {i: 4, t: 5, q: 5, k: 6}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 301 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 14 = -3*y + 7, 21*y - 8*y = -15*l + 33 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2409 + -2405. Solve -19*i + 18*i = -j for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -n - 3*n - 5*q + 5, -3 = 3*n - 3*q for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*y + 25, 4*x + 5*y - 28 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 60*n = -62*n + 97, -3*k + 75 = 4*n. Let f(h) be the first derivative of -h**3 + 3\/2*h**2 - k + 0*h. Determine i, given that f(i) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/45, -3, 4, -4.6872 in ascending order.\nAnswer: -4.6872, -3, 1\/45, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 181.089902439 less than -3?\nAnswer: -184.089902439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2) + (-8 - -6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t - 11. Let f(q) = q**2 - q + 2. Let z(b) = -b - 4. Let k be z(-6). What is the remainder when t is divided by f(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 208*j**4*w - 3*j**4 - 3*j**2*w**2 - 2*j*w**2 + 265*j + 2*w**2 wrt j?\nAnswer: 2496*j**2*w - 36*j**2 - 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d - 3*d**2 + 528 - 68*d - 78*d - 75*d - 32*d = 0.\nAnswer: -88, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiuiviuvivuiuvvvuiv. Give prob of sequence vu.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-1) + (1944\/(-48) - (-90)\/(-12))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = x - 2*x. What is the highest common factor of x and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8768, 17996, 27224?\n\"Answer: 9228*j - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j = -6*j - 2*z + 38, j - 95 = -5*z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1830*c + 246*c + 359*c - 1397*c to the form t*c + h and give t.\nAnswer: -2622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -7.2, -0.4, -0.04, -5, 2\/7, 0.406?\nAnswer: 0.406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*s = -17, 35*s - 38*s + 27 = 2*v. Let q(g) = -5*g + 33. What is the lowest common multiple of v and q(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, v: 1, f: 2}. What is prob of picking 3 g and 1 f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**5)**(8\/15)*k**(-2)\/k**19)**(18\/11) assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 268 divided by -2\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14 or 43\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/18)\/((-2)\/(-36)). Let q(u) = u**2 + 9*u + 4. What is the units digit of q(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/8 of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 3 - (6 - (-10 - -27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -14*p + 19 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91740?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 46 (base 9) to base 12\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 309*i + 124536. Calculate o(-403).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1104)\/(-20))\/3 - (-4)\/(-10). Which is smaller: 19 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, -3, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voy when three letters picked without replacement from voovoqooyqyozv.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -503.59+-62.176\nAnswer: -565.766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 7*c**2 + 408*c + 3326. Give q(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + -6 + -1 - (-23 - (9 - 32)). Let t(v) = 21*v**3 - 11*v**2 - 4*v. Let q(j) = 10*j**3 - 6*j**2 - 2*j. Give f*t(k) + 7*q(k).\nAnswer: -14*k**3 + 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12200220 (base 5) to base 16\nAnswer: 1c3e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a + 20*a - 11*a.\nAnswer: 29*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2, 0.7, 18, -0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzzffzzddzzf. Give prob of picking 2 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.8 - 88.2. Let m = 96.466 + c. Round m to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29126150 is divided by 1680?\nAnswer: 1670","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 618787?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 284 and 8128.\nAnswer: 577088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 744 is divided by 69?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 378501 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let q(n) = -55 + 102 - 12 + 14*n - 11*n + 176. Calculate d(q(a)).\nAnswer: 18*a**2 + 2532*a + 89042","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 210936 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 9*i**2 - 14*i + 19. Let x be b(10). Let n(h) = -9*h - 138. Let s be n(x). Calculate the highest common factor of 102 and s.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 276 = n, -4*n + 2*n + 551 = a. Suppose 3*f + 40 = w, -7 = 2*f + 3. Calculate the highest common factor of n and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 503776*f**2\/3 - 31735365946*f\/3 - 1458761038172\/3.\nAnswer: -2*(f + 46)*(f + 125921)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*d - 360 + 316 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -6 - (-5 + 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46373 to the power of 1\/2, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10 - 10 - 2*x. Let q(c) = 20*c. Let z(s) = 7*s. Let t(f) = -4*q(f) + 11*z(f). Calculate o(t(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3106440 a multiple of 1804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -3*q**4\/4 + 3*q - 1248. Let l(g) = 1079*g**2 + g. Give l(k(j)).\nAnswer: 87399*j**4 - 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2590, -3576, -4562?\n\"Answer: -986*n - 1604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120080 and 6337222.\nAnswer: 3002","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2555 divide 19341350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*r**2 - 34 + 34 + 2*r**3 - 9*r**2 - 11*r**4 + 62*r wrt r.\nAnswer: -264*r + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26471*c**3*m**2 + 113*c**3*m - c**2 - 2*c*m + m wrt m?\nAnswer: 52942*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6228, -7145, -8060, -8973, -9884, -10793, -11700?\nAnswer: -12605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440507.\nAnswer: 440507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28977 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-68)\/(-42))\/(55\/180). Let p = o + -8\/11. Find the common denominator of 85\/6 and p.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - ((1 - (-6 - 5)) + (-19 - (-13 + 10)))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*v - 16*v + 12*v)*(743 + 89 + 121) as w*v + h and give w.\nAnswer: 12389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -181246\/222915 - -367\/579. What is the common denominator of f and -13\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 3. Let o = k + -5. What is the closest to o in 5\/3, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -71*n**3*z**2 + 20*n**3*z + 1780*n**3 - 128647077*n**2*z**2 wrt n?\nAnswer: -426*z**2 + 120*z + 10680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 764167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1244 by 2.\nAnswer: 622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -34350, -4, -19, 4 in descending order.\nAnswer: 4, -4, -19, -34350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -12 in ascending order.\nAnswer: -12, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + j - 4. Let b be (-2)\/9 - 86\/18. Let i be g(b). What is the highest common factor of 4 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/15 + 508*t\/15 - 19136\/15.\nAnswer: -2*(t - 208)*(t - 46)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/12)\/(2\/(-40)). Suppose -2*d + 3*d = -3*d. Which is the closest to 0? (a) o (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 15*i**2 - 15*i + 13. Is 13 a factor of f(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 2:29 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -227967, -455929, -683889, -911847, -1139803?\nAnswer: -1367757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 49, 50, 51?\n\"Answer: y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3)*g*g)**(1\/56)*(g*g*g**(2\/3))**(-1\/29) assuming g is positive.\nAnswer: g**(-43\/1624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**5\/9 - 160*u**4\/9 + 788*u**3\/9 + 11320*u**2\/9 + 3376*u + 2720 = 0?\nAnswer: -3, -2, 17, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*c + 3, -4*j + 20 = -4*c. Let o(y) = y**2 + 14*y - 29. Let g be o(-16). Sort -2, j, g in decreasing order.\nAnswer: j, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - m - m**2 + 5*m + 17*m + 3. Let j be z(17). Solve 6 = -j*d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t + 2*t - 9*t**2 + 12*t**2 + 5. Let g be c(-2). Put 4, 2, g in increasing order.\nAnswer: 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415922.\nAnswer: 2, 13, 17, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 24*o**2 - 5*o - 2. Let q(l) = -27*l**2 + 7*l + 2. Let s(i) = -2*q(i) - 3*w(i). Give s(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -142*x - 283. Let s be o(-2). Put -108, s, -0.4 in increasing order.\nAnswer: -108, -0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.035 - -0.845. Let v = 0.658 - o. Let u = -0.22200111 - v. What is u rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-3 - -5)*12. Let r = -17 + k. Is (2\/r)\/(6\/1413) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.9\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -211\/1166 + -200\/53. Calculate the common denominator of (95\/(-18))\/(-5) + -1 and y.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1 - 4*f**2 - 2 + 7*f + 3*f**2 - 2. Let k be l(5). Suppose -8*i = -k*i - 77. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-4))\/(34 + (-33631)\/988)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 45. Find the third derivative of -223*g**6 - h*g**2 + 215*g**6 - 9*g**2 + g**2 wrt g.\nAnswer: -960*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -1, 2\/21, -14, 0.5 in increasing order.\nAnswer: -14, -1, 2\/21, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/7, 2734, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*l - 9*l - 8630180 = -90*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-7) + (-12)\/(-42))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-9) - 374\/(-306)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 + 3212*h + 108048. Calculate o(-34).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2 - -3 - 6) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*b**3 + 2 - 2 + 120*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w - 22*w + 3*w + 7*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myyymytyyyyyyymy. What is prob of sequence ymm?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-90))\/((-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -144 + 152. Suppose -z + 3*l = -490 + j, 0 = -4*z + 4*l + 1912. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/60 - 5*t**4\/24 + 2*t**3\/3 + 4*t**2. Let y be l(4). What is the tens digit of 1 + y\/(-3) + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**22)\/a**(-4)*(a**25*a*a)\/a**7)**23 assuming a is positive.\nAnswer: a**1081","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, t: 4, o: 1, w: 2}. What is prob of sequence tet?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 3*c - 4. Let u be a(-4). Suppose -4*m + z + 78 = u, 0*m - 3*z = 3*m - 66. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397858, 397848, 397832, 397810, 397782, 397748?\nAnswer: 397708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11) + 1 - (sqrt(704)*3 + sqrt(11))) + 0.\nAnswer: -24*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 25. Let j = 2.4 + -0.4. What is the third biggest value in x, -3, j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 4*w**2 + 4*w - 1. What is c(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*j = u, 4*u + 12 = 4*j. Let g = 49 - u. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/3)\/((-2)\/(-24)). What are the prime factors of 0 + -1 - p\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7569 + 7568.75. Which is the nearest to -1? (a) 3 (b) m (c) 0.01 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2989152 divided by -31137\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhllchhn. Give prob of picking 1 n and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 622 = -22*t + 20*t, -291 = -2*g + 3*t. What is the greatest common divisor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -811*s - 19487. What is h(-24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/7 + 242*g\/7 + 14641\/7.\nAnswer: (g + 121)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 2*w + 198, -6*w + 304 - 23 - 147 = -2*d for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4560 and 145065?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, k: 1, s: 3}. Give prob of sequence ss.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/5 + 44*n**2 - 51774*n\/5 - 157248\/5 = 0.\nAnswer: -224, -3, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/2)*u)\/u*u)**(-47)*u*u**(-1\/8)*u\/(u\/((u*u**(-2\/13))\/u)) assuming u is positive.\nAnswer: u**(-7257\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, i: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29565466 to the power of 1\/2, to the nearest integer?\nAnswer: 5437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -12\/5*m - 2\/5*m**2 - 18\/5 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2576 - 1793. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 PM and 11:36 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 5*q + 6. Let m be t(-6). Let i = 3.4 - 3. Let v(o) = o**2 + 3*o - 44. Let p be v(5). What is the nearest to m in 1\/6, i, p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 2*w**4\/3 + 44*w**3\/3 - 3470*w**2\/3 + 49336*w\/3 - 69384 = 0?\nAnswer: -59, 9, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16039 is divided by 970.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*f = 2058 - 1876 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 6. Suppose r*c - 3*c = -3*b + 3, 0 = 4*c + 3*b - 48. What is the greatest common factor of 117 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89 + 88.9. Sort 3\/7, -0.2, 0.2, w in decreasing order.\nAnswer: 3\/7, 0.2, w, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + -27 - -18) + 54 - 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10751 and 93041.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 223 - 172. What is the highest common divisor of 136 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 13*o**2 - 36*o - 995. Let v be z(-15). Let u = 0.1 - 0.2. Which is the nearest to u? (a) v (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 125*w + 5. Let o(c) = 250*c + 9. What is 7*b(f) - 4*o(f)?\nAnswer: -125*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50950002.\nAnswer: 2, 3, 8491667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 53359 <= 53359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*u - 20 = u, 2*h + 3*u + 9 = 0. Let g = -1 - h. Factor -9 - 8*l - 3*l**g - 10 - 8 - 10*l.\nAnswer: -3*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1382 = 3*h - 6674. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - 1 + 1 + (3*i - 2*i - 3*i)*(4 - 4 - 1) + 31 - 18 + 3*i - 12.\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483616 > 1483757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-8)*-74*(-227)\/((-33369)\/98)?\nAnswer: -37\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + (50 - 11) + (6 - 16) + 6\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 30727723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 - (-6 - (-41 - -13)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 0)*(8 - 2*j**3 - 8) + (-j**2 - 2*j**2 + 2*j**2)*(0*j + 2*j - 3*j) - j**3 + 3*j**3 - 4*j**3 to d*j**2 + z*j**3 + q*j + c and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let w = p - -7. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 - 5*x - 7. Let u be t(-2). Let o(j) = 2*j**2 - 7*j - 2. What are the prime factors of o(u)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1.3 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32242 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15ae15 (base 16) in base 7?\nAnswer: -15035223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12462684714 + -35\nAnswer: 12462684679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2762, 2908, 3054?\n\"Answer: 146*j + 2616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -15*z**2. Let k(o) be the second derivative of -7*o**5\/120 - 11*o**3\/6 + o**2\/2 + 55*o. Let n(a) be the second derivative of k(a). What is b(n(j))?\nAnswer: -735*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 15 - (25 + -20)\/((-2)\/(-2)). Let i(n) = 113*n**2 - 4*n + 3. Let p be i(2). Suppose 0 = -7*d + y*d - p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b - 2 + 2)*(0 + 4 - 2) + 4*b - 4*b - 3*b as p*b + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a milligram in micrograms?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 104638, 419686, 944770, 1679896, 2625070?\n\"Answer: d**3 + 105012*d**2 + 5*d - 380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-36)\/30)\/(4\/(-10)). Suppose -3*i - h*k + 6*k + 258 = 0, -3*k + 258 = 3*i. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124706 to the power of 1\/2, to the nearest integer?\nAnswer: 353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/(sqrt(2) + -2*sqrt(2)) + 3*(sqrt(51)\/sqrt(3))**2 - (sqrt(51)\/sqrt(3) + -2 - (sqrt(68) + -4))*-6)*-5.\nAnswer: -315 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + 5*(1 + (sqrt(3) - sqrt(9)\/sqrt(3)) + (0 + sqrt(108) + sqrt(108))**2).\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*j + 3*j + 7 = 0, 3*j - 10226 = -q - 10227 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + (-9)\/(-3) + -1. Let j(r) be the first derivative of 15*r**4\/4 + r**3\/3 + r**2\/2 + r - 2. What is j(z)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-737)\/(-402))\/((-1)\/6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*m + 3510006 = 0, -2*a - 2339992 = -0*m + 4*m. What is a rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-2) + (-192)\/(-29 - -25). Which is the nearest to 0.1? (a) -4 (b) v (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53 - 53 - 31*i)*(9 - 4 - 4*i**4 - 7).\nAnswer: 124*i**5 + 62*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1222 + 2100012022010?\nAnswer: 2100012101002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 18. What is n(-17)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 35 = 49. Let f = -12 - i. Suppose f = -l + 9 - 4. What is the third biggest value in -2\/13, -0.1, l?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 335461.4 decades?\nAnswer: 3354614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*u + 590034 = 173*u - 862516. What is the greatest common factor of 44 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 735 = -105*w - 1356 for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -2*u**3\/3 + 13*u**2\/2 + 10*u - 1. Let i be y(7). Suppose i*a + 8 = 11. Solve -5*d = 5*s - d - 7, 0 = s + d - a for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + (sqrt(28))**2) + sqrt(14)\/(sqrt(22)\/(sqrt(44)\/sqrt(4)) + sqrt(2)))*-3.\nAnswer: -162 - 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -52 + 58. Let f = -29 - -45. Calculate the smallest common multiple of a and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115811, -463758, -1043673, -1855556, -2899407, -4175226, -5683013?\nAnswer: -7422768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2*w - 4368 = 0, -4*w = w + 20. Round y to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 9. What is the remainder when 13 is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**4 - 6*w**3 + 50*w**2 - 709*w + 6. Let l(p) = p**3 - 2*p - 1. Let n(s) = 6*l(s) + y(s). What is the second derivative of n(g) wrt g?\nAnswer: -36*g**2 + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*g*r**4 + 7848*g*r**2 - 4*g + 7620*r**4 + 73*r**2 wrt r.\nAnswer: -1800*g*r + 182880*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.5328 + -3.4672. What is the third smallest value in -1, d, -43, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45469075643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15661 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -4, -42, -2 in ascending order.\nAnswer: -42, -4, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - o = -29, 2*o = -81*c + 86*c - 47. Solve -4*f = 3*k + 7, -2*k + 7*k - c = -2*f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -5*m**3 - 27. Let i(r) = -11*r**3 - 55. Let p(z) = 9*f(z) - 4*i(z). Let t(d) be the first derivative of p(d). Let s(x) = 5*x**2. What is s(t(u))?\nAnswer: 45*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -533 divided by -4432.\nAnswer: 533\/4432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 3*r - 323. What is the remainder when r is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-1250)\/3)\/(-2)*81\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) 20 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 117*k**3 - 10*k**2 + 205*k + 32. Let a be d(24). Round a to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4*(-1 + (-882)\/(-24))*-1 is divided by 52.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.108 * 42\nAnswer: -4.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-2)*l)*l*l*l\/l**(-19))**(1\/6) assuming l is positive.\nAnswer: l**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -7*w**2 - 589*w - 1024. Let g(x) = -6*x**2 - 588*x - 1047. Let o(s) = 5*a(s) - 6*g(s). Factor o(b).\nAnswer: (b + 2)*(b + 581)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0661 + -0.06538525. Round n to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25432 or 25375?\nAnswer: 25432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + -1 + 9\/3. Let y(w) be the second derivative of 1\/6*w**s - 2*w + 1\/2*w**2 + 0. Let u(x) = -2*x**3 + 2*x**2 + 4*x + 4. Give -u(h) + 4*y(h).\nAnswer: 2*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52 - (132 - 82 - (36 + 3))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 3:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11.3? (a) -2 (b) -22 (c) 33\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1147117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 8*y + 8. Let c be (-15 - 1)\/y - 1. Suppose 2*f + c*i - 189 = -f, 0 = f + 2*i - 58. What are the prime factors of f?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/((-143)\/33).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19635?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*18\/(-20) + 2. What is the closest to -1 in g, -0.1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 37 - 15*k - 40.\nAnswer: -15*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, -0.4, -8 in ascending order.\nAnswer: -8, -0.4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -26. Suppose 4 + 2 = -3*i. Sort n, i, -4.\nAnswer: -4, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 9. Let p be 1 + -1 + z\/16. Suppose -3*w - 5 - 1 = 0. What is the nearest to -0.1 in p, -1, w?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2 = 3*c + 13, 0 = c - 4*k + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4249 + 4441. Is x less than or equal to 197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 - ((-60)\/8)\/(9\/54). Suppose -85663 = w*q - 58*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.68 and -269783.9?\nAnswer: 269783.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11543600738318133.00000162 - 11543600907037015. Let t = 168718958 + l. Let j = 76 - t. What is j rounded to 7 decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 7. What is m(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 89*r - 182. Determine w(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -5*d + 18. Let t(x) = -96*x**2 + 294*x - 42. Let y(j) = 2*j**2 - 7*j + 1. Let w(h) = -2*t(h) - 84*y(h). What is o(w(g))?\nAnswer: -120*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(19) + -3 + sqrt(19))**2 + (sqrt(190) + 1*sqrt(190))\/sqrt(10).\nAnswer: -10*sqrt(19) + 88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 15. Suppose -6*x - 3*j + 465 = -x, 365 = f*x + j. Calculate the remainder when x is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1872.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -168, -4, 6217, -1 in ascending order.\nAnswer: -168, -4, -1, 0, 6217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = -1. Let n(s) = -2 + 2*s**2 + s**x - 54*s + 50*s. What are the prime factors of n(7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3343484279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 6*f**2 - 2*f + 3. Let u be b(6). Let o = -4 - u. Suppose 0 = o*s - 3*s + 2, m + 4*s = 16. Solve m - 45 = 5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10575 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256\/3 + 352*o**3 + 4612\/3*o**2 + 64\/3*o**4 + 704*o = 0.\nAnswer: -8, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230128 = 10810*f - 22233*f + 9909*f for f.\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*f + 2280 = 185*f for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/((-3)\/9). Let b be (-2)\/(i\/(16\/2)). Let h be 104\/24 + b\/(-2). Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p**2 + 103*p + 839. What is g(-6)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10526 divided by -554?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 189975.\nAnswer: 3, 5, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1243 and 55\/1356.\nAnswer: 14916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4096 divided by 389\nAnswer: -4096\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*x - 3*r + 2*r, 0 = -4*x + 5*r + 10. Let m be 6\/8*4 + -13. Let i be (-2)\/m - 2\/10. Put x, i, 4 in decreasing order.\nAnswer: x, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.196*-0.024.\nAnswer: -0.004704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 211, -5, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/19108 and 63\/277066.\nAnswer: 554132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - r + 145 = -10, -2*r + 93 = 3*m. Calculate the remainder when m is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1787270, 3574538, 5361806, 7149074, 8936342, 10723610?\n\"Answer: 1787268*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1619 - -1621. What is the nearest to -2\/7 in x, -18, -1\/6, -3\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 7*p - 29. Let t(d) = 5*d - 27. Let k(c) = -2*o(c) + 3*t(c). Calculate k(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1915 and -1011.\nAnswer: 1936065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 184, 761, 2112, 4615, 8648, 14589, 22816, 33707?\n\"Answer: 63*d**3 + 9*d**2 + 109*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/927642425 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(10)\/sqrt(2))**2 + 4)*-5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64465101, 64465103, 64465105, 64465107, 64465109?\nAnswer: 64465111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c. Let i(j) be the second derivative of 7\/6*j**4 - 87*j + 0*j**3 + 0 + 1\/2*j**2. Determine s(i(w)).\nAnswer: 42*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 + -1685b?\nAnswer: -16876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*p**2 - p**3 - 53*p**2 - p**3 in the form c*p**3 + m + a*p + f*p**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 1498*m**2 + 106799*m + 105302.\nAnswer: (m + 1)*(m + 74)*(m + 1423)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 5065)*1\/(-2) + 2. Suppose 56*c - v = 52*c. What are the prime factors of c?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11203 and 136.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 401636341?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -29087 to the nearest 100.\nAnswer: -29100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 296\/7. Let h = -1.98 + -0.02. Let t = 3 + h. Which is the nearest to t? (a) z (b) -2\/15 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.12367 months in decades?\nAnswer: 0.04269725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.052088 - 0.193\nAnswer: -0.140912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 o when three letters picked without replacement from jojjjjdodjj?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 371558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111623056?\nAnswer: 2, 6976441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 8*h + 4*h - 217*h**2.\nAnswer: -217*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -120.06 and -1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5261*m = 29775 - 107993 - 181242 + 22715 for m.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3584) + sqrt(3584)*2 + sqrt(3584))\/(3*-2*sqrt(8) + sqrt(8)) + -5.\nAnswer: -32*sqrt(7)\/5 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-23920)\/117)\/(-23) + -9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x + 90*x - 6177 = -17*x for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -215 (b) -0.4 (c) 0 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706*u - 34516 = 19171 + 24679 for u.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3641, -14330, -31647, -55166, -84461, -119106?\nAnswer: -158675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h - 12*h + 3*h - 20 + 3*h + 249*h**2.\nAnswer: 249*h**2 - h - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2 - 4*s - 2. Let d be g(-2). Suppose -5*a + 10 = c, 3*c - 3*a - 10 - 2 = 0. Let w = d + c. Is -1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 810924333 to the nearest integer?\nAnswer: 28477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 72 = -28. What is the highest common factor of 2200 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4\/7 - 792*p**3\/7 + 12158*p**2\/7 + 792*p\/7 - 12160\/7 = 0. What is p?\nAnswer: -1, 1, 16, 380","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 - 9*n**2 + 6*n + 107. Is b(-13) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83196 and 16542?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14103 and 225.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p**3 - 2*p**2 + 2*p**2)*(669 - 357 - 486) in the form h + o*p**3 + f*p**2 + g*p and give o.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*u + 8, 2*u + 2*o = u + 4. Let y(s) = -s**3 - 8*s**2 + 7*s + 3. Let l be y(-9). Let g = u + l. What are the prime factors of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43296224759 - -0.03.\nAnswer: 43296224759.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -695*u**5 - 246*u**4 + u**3 - 2*u**2 + 9*u - 437.\nAnswer: -41700*u**2 - 5904*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 26 = -35. Let a be -6*(-1)\/2*1. Let f = a - 3. Solve f = j*k - 14 + 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -112*z**3 + 566*z**2 + 565*z - 1. Give t(-1).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/5, -2\/17, -0.4, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 1\/84*j**8 + 0 - 4*j**2 + 8\/15*j**5 - 64\/3*j**4 + 0*j + 14\/15*j**6 - 4\/21*j**7 + 256\/3*j**3. Let n(s) = 0. Calculate s.\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 548\/7 + -9899\/126. Let z = m - 11\/9. Let t = 0.5 + -0.4. What is the nearest to 0.2 in z, t, 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 6332390*y**2 + 2004571824000*y - 244652022900000.\nAnswer: 5*(y - 122)*(y + 633300)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 1424?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 2, -2, 1187, 3, -1 in ascending order.\nAnswer: -2, -1, 0, 2, 3, 7, 1187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of 7*u**3\/3 + u**2 - 2*u + 6. Let z(i) = -8*i**2 - 3*i + 1. Let k(o) = -7*c(o) - 6*z(o). Give k(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3456000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/7732855 and -61\/20?\nAnswer: 30931420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - -29) + 17 + (-41 - -16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(-2))\/(-17)*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-16))\/d**0 assuming d is positive.\nAnswer: d**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 3 - 11) + (-120 - -154) - 99.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 2*j**5\/35 + 3*j**4\/14 - 10*j**3\/7 + 17*j**2\/7 - 12*j\/7 - 343. Suppose y(z) = 0. Calculate z.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {o: 1, b: 2, g: 2, s: 1, x: 4}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*k**3 - 70249*k**2 + 142*k**3 - 68227*k**2 + 138476*k**2.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6021.8 * 0.032\nAnswer: 192.6976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d + 46*d**2 - 8*d**2 - d.\nAnswer: 38*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14635184 divided by -16.\nAnswer: -914699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.6579g in milligrams?\nAnswer: 43657.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420, 417, 406, 381, 336, 265, 162?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131070 is divided by 14461.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -70*h**2 + 2*h - 20. Give k(4).\nAnswer: -1132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/735 + 39\/105.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from doddodddd?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -11*j**8\/48 - 521*j**7\/105 - 337*j**6\/30 + 202*j**5\/15 - 4*j**4 - 12515*j**2. Let y(w) = 0. Calculate w.\nAnswer: -12, -2, 0, 2\/11, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.508 + -3.508. Sort x, -2, 1, -1.23, 4.\nAnswer: x, -2, -1.23, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 i, and 1 k when four letters picked without replacement from {i: 2, x: 1, k: 4, w: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 3*x + 9*x + 15 + 5 = 0, 5*m - 75*x + 77*x = -35 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80 and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170027 is divided by 42495.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + (0 - 4) - -6) + -12.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-351)\/756 - ((-9)\/(-12))\/(-1). Which is the nearest to k? (a) -1\/6 (b) 0.1 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 + 45. Suppose -5*n + 0*a + 2*a = -85, w*n = a + 35. What is the remainder when 119 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 4)*(-27*x**4 - 2*x**2 + 24*x**4 + 3*x**2 - 8) to o*x**3 + d*x + b*x**4 + n + w*x**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**5\/20 - 7*c**4\/12 - 53*c**3\/6 - 9*c**2 + 11*c + 5. What are the prime factors of l(-11)?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37828 != 37823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 4*m**2 - 5*m + 2. Let q be u(-5). Let w(i) = i**2 + 4*i - 3. Let c be w(q). Solve 3 = 4*h - c for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15*n + 2. Suppose p + 5*q + 13 = 2*p, -4*q = 4*p + 20. Let l be (-6)\/9*(-1 + p). Let i be g(l). Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.4 - 30.8955. Let x = -0.5 - 0. Let s = w + x. What is s rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 - 6*z - 7. Calculate j(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -232*183.8\nAnswer: -42641.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 58 + -57.6. What is the second biggest value in 0, -0.3, t, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/19 (b) 0.3 (c) 2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 2. Let k = -56 + 95. Suppose -3*z + 3*r = 45, 2*z - r = -z - k. Let i(q) = q + 1. Calculate z*i(h) + 5*u(h).\nAnswer: -2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -9.0397809589.\nAnswer: -9.4397809589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-2 - (-5 + 18)) + 36 - (13 - 1)) + -57\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -11. Let g(n) = n + 1. Let d be g(u). Suppose 2*p - 11 = p - d*q, -3*p + 4*q = -1. Solve -3*o = -3*r - p, o + 0 = -r - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74047, -73919, -73721, -73465, -73163, -72827, -72469?\nAnswer: -72101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8013.7 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 554839 to the nearest integer?\nAnswer: 745","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2633009*q**4 - 2106815*q**2?\nAnswer: -63192216*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**2 - 12*m - 1. Calculate u(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16.4. Which is the second smallest value? (a) 1\/2 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.194 * 89228\nAnswer: 284994.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1631 + -0.2369. Which is the third smallest value? (a) 6 (b) 4 (c) s (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -4640?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(65) - (sqrt(65)*-1 - sqrt(65)))\/sqrt(5))**2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + 24\/15. Suppose -t = -p*t + 7. What is the greatest common factor of 77 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) + sqrt(66)\/(-2*sqrt(6) - sqrt(6)))*-2)**2 + -1)*-2.\nAnswer: -334\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**5 + 0*k**5 - 3*k**5 + (-3*k**2 + 0*k**2 + 4*k**2)*(k**3 - k**3 - 2*k**3) - 4 + 6 + 17*k**5 - 10*k**4 + 5*k**4.\nAnswer: 14*k**5 - 5*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 19 = 13, 2*t - 19 = -5*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, i: 2, s: 2, w: 4, d: 3, m: 1}. Give prob of sequence iwm.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 116 and 570516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -13*a**2 + 959*a + 173. Give g(74).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**3 + l**2 - 5*l + 2. Calculate w(2).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h - 30*h - 106*h - 2 - 116*h + h.\nAnswer: -219*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2 - 0)*2\/6. Let n = 0.7135 + -72.7135. Is g >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -264c61 + 6?\nAnswer: -264c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 117, -8 in ascending order.\nAnswer: -8, -5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**5 + 17996*v**4 + 16*v**3 - 143968*v**2 - 32*v + 287936 = 0.\nAnswer: -2, 2, 8998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g**2. Let k(w) be the second derivative of -w**6\/360 - w**4\/4 - 2*w. Let q(m) be the third derivative of k(m). What is q(f(x))?\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -373305*f**3 + 83*f**2 - 3*f - 2202 wrt f.\nAnswer: -2239830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x + 3. Let p be m(0). Let g be 84\/(-315)*(-5)\/p. Find b, given that 0 + 2\/9*b + g*b**2 + 2\/9*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 104 + -103 - 1*(-1 + -1). Solve -8*u + 14 = 4*f - m*u, 5 = -3*f + 4*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -20, -49, -106, -203, -352?\n\"Answer: -2*n**3 - 2*n**2 - 9*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2849948815?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 560*b**4*w**2 + 11012*b**2*w**3 - 1592682*b*w**3 + b*w - b wrt b?\nAnswer: 6720*b**2*w**2 + 22024*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4270 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5524, -5526, -5516, -5494, -5460, -5414?\n\"Answer: 6*d**2 - 20*d - 5510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -1\/4, 2\/15, 0.1672?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 3*p + 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15575 greater than -1.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2522, 5058, 7594, 10130, 12666, 15202?\nAnswer: 17738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 1:18 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {y: 5, w: 5, v: 1, b: 1}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2788*o**2 + 5569*o**2 - 13*o**3 - 2781*o**2.\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9797, 5, -1\/6, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - k. Let f(t) = -5*t**2 + 6*t + 1. Determine f(c) + 4*q(c).\nAnswer: -c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1803641 is divided by 2389?\nAnswer: 2335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 21 = -3*i, 0*i + i = 3*u + 14. Let f(n) = -2 - n**2 + 0*n**2 + 6*n - 3 - 1. Determine f(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 1669978?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*l - 296 + 76. Solve -4*b = b + 2*u - 24, 3*u = 4*b - l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 i, and 1 y when four letters picked without replacement from yioniyinioniyinii.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -v - 2*t + 6, -15 = 5*v - 5*t. Suppose -5*y - z = 10, 8*y + 19 = 9*y - 4*z. Let o = 4\/105 + -347\/840. What is the closest to -2 in v, y, o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240857101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -y - 9*b, b - 1 = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 6*h - 1. Let x be p(6). Let g = 15 + -7. Let w = g + -11. Which is the nearest to x? (a) -0.4 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 675733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 26, -4, 0.83, 2, 2\/17 in descending order.\nAnswer: 26, 2, 1, 0.83, 2\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18\/55 - 456\/385. Let h(g) = -g**2 + 7*g - 7. Let s be h(5). Suppose 4*q = -z + 4, 0 = z - 5*q + s*q + 2. Which is greater: z or r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2714732741.\nAnswer: 7, 55402709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*d + 96*d + n = 3, 30 = -2*d - 3*n for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 396*a - 3. Let y be u(1). Suppose -b - 529 = -4*l - 2*b, 3*b + y = 3*l. Suppose 0 = -5*k + l + 33. What is the remainder when k is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -1726864818.\nAnswer: -1726864816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2582)\/(-27111))\/(4\/(-91)).\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 82035991 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 10*i**2 + 6*i + 7. Let k be a(-6). Let j = k - 341\/3. Let q = -2.4 - -2.3. What is the closest to q in j, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*q + 56*q = 6. Suppose 4*l - q*y = 59, -3*l - 4*y + 46 = -l. Calculate the remainder when l is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -30279.95518 - -30294.75518113. Let u = -14.8 + t. What is u rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 x when four letters picked without replacement from {s: 7, x: 5, k: 5, w: 2}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 47. Let k(c) = -c**3 - 3*c**2 - 3. Let t be k(-3). Let x = -126 + 878\/7. What is the biggest value in d, t, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 0*j**3 - 2*j**2 + 3*j**3 - j**4 + 4*j**2 - 4*j**3 in the form s + b*j**3 + p*j**4 + a*j**2 + q*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 10*l**2 + 22*l + 26. What is the remainder when 299 is divided by z(-12)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - 4*k + 17. What are the prime factors of d(-11)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2094511836 to the power of 1\/2, to the nearest integer?\nAnswer: 45766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3227683, -3227637, -3227591?\n\"Answer: 46*v - 3227729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-38)\/(-4) - (-2)\/4. Calculate the remainder when (-6)\/(7 - 6 - x\/8) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - h - 141, -444*w = -447*w + 4*h + 214. Is w a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (11 - 19 - (-4 - 4))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*f**3 - 212*f**3 - 241*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17404344 to the nearest integer?\nAnswer: 4172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -414*p + 72*p + 16 - 16.\nAnswer: -342*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j**3 - 22*j - 24*j**2 - 12 + 5*j**3 + 37 + 7*j**2. Is 6 a factor of o(-16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4025 + 6148. Does 54 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - i - 2. Let k(q) = -q - 1. Let f(p) = -2*k(p) + y(p). What is the second derivative of f(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -335 - -370. Suppose 6016 = w*y - 27654. List the prime factors of y.\nAnswer: 2, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20084 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37723 - -7713. Suppose 2*g + n = -894564. Round g to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - 26*l**2 + 9*l + 44*l**2 + 3 - 18*l**2 as o*l**4 + v*l**2 + f*l**3 + g*l + i and give g.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**7\/1890 - n**6\/90 + n**5\/20 + 9*n**4\/4 - 163*n**2. Factor w(g).\nAnswer: -g*(g - 6)*(g + 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2 + 7*k - 29. Let j(n) = n**2 + 3*n - 15. Suppose 589 + 181 = 99*v + 77. What is v*j(h) - 3*p(h)?\nAnswer: h**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3*c)\/c)**(14\/11) assuming c is positive.\nAnswer: c**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521878961?\nAnswer: 3, 1507292987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:45 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -4, 0.04, -1\/7, 0.2, 12.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 55. What is the closest to 0.1 in r, 10, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (6 - 10)) + (-15276)\/(-988)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from izizitziiz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-96)\/(-30) - (-2)\/(-10). Suppose 5*n = -3*i + 101, 5*i = -0*i - c*n + 147. Let q = i - -24. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - ((-11 - -2) + 2)) + -7 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 4*k + 1. Suppose -i + 6*i = 0. Suppose 3*c - 2 - 4 = i. What is the units digit of m(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5*q - 1. Let n be t(-1). Let y be 49\/(-2) - n\/8. Let m = 65 - y. Round m to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/10*(-27)\/12. Let i = -1019\/3 - -3383\/10. Let w = i - n. Which is smaller: w or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173956537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7585019 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 8*f = 44, -3*y - f - 60 = -49 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*j + 55 - 40 + 147. Suppose 1118 = 4*g - 54. Suppose 5*v + g = j*p, -2*p + 447 = 3*p + 2*v. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxu when three letters picked without replacement from llouuxluupou.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23985, 23739, 23493, 23247, 23001?\n\"Answer: -246*v + 24231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 w, and 1 b when four letters picked without replacement from bwwwwpdwpwwwdjbwwdp.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100507668 and 150761502.\nAnswer: 301523004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -5*f**4 + 17*f**3\/3 + 7*f**2 + 3*f - 9. Let y(c) = 7*c**3 - 6*c**2 - 5*c - 1. Calculate -6*l(o) - 17*y(o).\nAnswer: o**3 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 87 - 89. Let b(i) = 21*i**3 - i**2 + 3. What is the tens digit of b(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -33*6\/(-4 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39 - 1 - 0\/(-1) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8400 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 431 - 428. Let z(m) be the second derivative of 1\/12*m**4 + 3\/2*m**2 + 0 + m - 7\/6*m**n. Determine z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -723*i + 2074 - 30838 = -2415*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -10. Is d at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - 10) + 1 + -9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -3) + 6\/2. Let l = 7 - m. Suppose 2*c - 2*a - 10400005 = -3*a, -3*c = l*a - 15600015. What is c rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*d**2 + 6*d - 52*d**2 - 2*d - 49*d**2 + 5 + 146*d**2 to s*d**2 + p + b*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -10) + (-5 - (-19 + 15 + -11))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 86, 126, 122, 74, -18?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*-6.\nAnswer: 1.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/15*-3)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62945 and 23?\nAnswer: 1447735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51242078 divided by 478.\nAnswer: 107201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -106 - 2 - (-775 - -760) - 9\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(1*5\/5). Let v(i) be the second derivative of -4*i + 0*i**4 + 0*i**3 + u*i**5 - 1\/126*i**7 + 0*i**2 + 0 - 1\/90*i**6. Factor v(x).\nAnswer: -x**4*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10*m**2 - 7*m - 234. What is the remainder when v(-14) is divided by 455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77100000 rounded to the nearest one million?\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -28*t**3 - 3*t**2 - 23*t. Let f(v) = -141*v**3 - 17*v**2 - 114*v. Let b(i) = 2*f(i) - 11*q(i). What is the third derivative of b(k) wrt k?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.38735 + 14777841.\nAnswer: 14777842.38735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 3*u + u. Calculate the remainder when u is divided by 2*(5 + (-58)\/12)*21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6007027 by 2.\nAnswer: -6007027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9 = 3*z. Let v = -7 + z. What is the smallest common multiple of 16 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)*q*q*q*q**(4\/7)*q)**(-5) assuming q is positive.\nAnswer: q**(365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280.112049 minutes in weeks?\nAnswer: 0.02778889375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*w - 3*t + t, 4*w + 2*t = -8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4416 by -2.\nAnswer: 2208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 3*x - 87, -9994 = -q + 4*x - 10115 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 355875850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**4 + 6*i**3 - 9*i**2 - 12*i + 12 = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 + 16\/6. Let p(t) = 168*t - 2. Let k be p(u). Let h = -217 + k. What is the highest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - 5. Let o(f) = -7*f + 11. Let w(m) = -13*n(m) - 6*o(m). Let g be w(2). Solve -g*v - 4 + 19 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, g: 1, w: 1, n: 1, r: 1}. What is prob of sequence rw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10.21. Let u = 1.79 - l. Which is smaller: u or -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dqpededdeqd. Give prob of picking 1 p and 2 q.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 242 (base 5) to base 15\nAnswer: 4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 229, 337, 441, 541, 637, 729?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12321 + 12339. Put 0, -44, v in increasing order.\nAnswer: -44, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -64*d - 73. Calculate p(-3).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (265 - 261) + -44 + 30\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13368495 divided by 285?\nAnswer: -46907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-3 + 3 - 2*u)*(5490 - 211 + 274 + 770).\nAnswer: 12646*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14640 and 1214205?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 11:42 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11518.6861476 - 54.\nAnswer: 11464.6861476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*b - 323 - 605 = 0. What is the highest common divisor of 896 and b?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3276 - 564 = 278*j - 22*j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 743.2178ml?\nAnswer: 0.7432178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/3, 2, -3, 2\/9, -24?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/(q*q\/(q**(-3\/8)\/q)))**(-1\/75)*(q**4\/q)\/(q\/(((q*q**(-2))\/q*q)\/q))*q*q\/q**(-2\/5)*q*q*q**(-1\/3) assuming q is positive.\nAnswer: q**(2507\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 16 - 19 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1515\/404)\/((-6)\/(-2))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 43*m**4 - 23*m**4 + 7*m**4 + (-2 + 2 + m**3)*(-13*m + 7*m - 3*m).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08426 to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 2357696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.3 + 0.3. Let h = j - -5. Let q = 185 + -1663\/9. Which is the third biggest value? (a) -5 (b) h (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 419.78 * 0.1.\nAnswer: 41.978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11142 - 330224003?\nAnswer: -330240200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 17. Is n(0) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.232323 millennia in months?\nAnswer: 74787.876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 165124 + -2?\nAnswer: 165122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3835123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**2 - 2*r + 12. Let l(q) = -42 + 153 - 9*q - 63 - 28*q**2. Let g(w) = 4*l(w) - 18*t(w). Differentiate g(p) wrt p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -6.99. Let x = d + -0.11. Let r = -1034\/3 - -338. What is the smallest value in x, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7*l - 3 = 0. What is the nearest to 2\/5 in l, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 9*o**2 + 7*o + 14. What is the units digit of t(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6941 is divided by 71.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2740536 by 51.\nAnswer: 53736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/4*7548\/111. What is the highest common factor of 45 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*c**3 + 3 - 3 + 7*c**2 - 9*c**2 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 6:02 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -15 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2591b (base 12) to base 8\nAnswer: 144347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven halves of a hour?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 6:27 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, o: 1, k: 1}. What is prob of picking 1 u and 1 o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 9*w - 1. Suppose 8*u + 14 = -42. What is i(u)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -42 + 193. List the prime factors of s.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 2*b + 18. Suppose z - 2*z = -b*m - 12, 2*z - 9 = m. Suppose -z*p = -p - 2510. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, a: 9}. Give prob of sequence anaa.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10172)\/(-643379))\/((-4)\/230).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*a*k**3 + 2*a*k**2 - 19*a*k + 108*a + 10060*k**3 + 6*k + 6 wrt k?\nAnswer: 96*a*k + 4*a + 60360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z*z\/z**(2\/7))\/z)))**(-28\/3)\/(z\/(z**(3\/4)\/z)*z)**(-49) assuming z is positive.\nAnswer: z**(1243\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -8. Suppose -5 = -3*l - k, -k + 9 = -l - s*k. Suppose -d = f - l*f + 24000, -5*f = 0. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmg. What is prob of picking 3 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = v - 2*f, -2*f - f + 60 = v. Suppose -w - 4*k = 3*w + 144, -2*w = 5*k + 72. Let i = v + w. Calculate the smallest common multiple of i and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 186 and -8.47.\nAnswer: 177.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -7)\/((-25)\/(50\/4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -9*m**3 - 7*m**2 - 7*m + 9. Let c(d) = -15*d**3 - 11*d**2 - 11*d + 14. Let h(a) = -8*b(a) + 5*c(a). Determine h(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/32 - 7\/(-4). Let n be 1584\/30 - k\/2. Let l = n + -52. Which is the third biggest value? (a) -0.1 (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*x**2 + 4*x**2 + 5*x**2)*(-x**2 - x**2 + 4*x**2) + (-3*x**2 + 3*x**2 - x**3)*(2 - 2 + 2*x) in the form d*x**3 + a*x**4 + f*x**2 + k*x + g and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -149\/780 - -3\/52. Let z be 45\/(-114) - (-3)\/6. Sort l, z, 5 in descending order.\nAnswer: 5, z, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 686.7801 decades to years.\nAnswer: 6867.801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13270636 - -3?\nAnswer: -13270633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22285117\/65 + -21109829227\/61555. Let j = i + 5\/947. Let x = j + 95. Does x = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3709294858 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32429*m - 64624*m + 1 + 35832*m to the form w + q*m and give q.\nAnswer: 3637","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -400434.3 - 0.1\nAnswer: -400434.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*a - 8 + 4 - 17 + 21.\nAnswer: -86*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - 1121*o + 1071*o**3 + 3*o**2 - 356*o**3 - 356*o**3 - 354*o**3.\nAnswer: 5*o**3 + 3*o**2 - 1121*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 3*n + 37, -16132*q + 3*n = -16129*q - 27 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 4*a + 184, 3*j - 4*j - 5*a = -65. Let c = 64 - j. Suppose -2*z = 0, -3*z - 20 = c*v + 2*z. What is the smallest value in 3, -0.3, v, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 84. Let d(j) = 2*j + 12. Let w be d(x). Suppose 2*f - 6*v + 3*v = 212, 5*f = -w*v + 511. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c - 7. Let n(p) be the second derivative of 2*p**3\/3 - 4*p**2 - p - 17. What is -5*b(m) + 4*n(m)?\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*s - 183 = 0, 2*c - 119 = -0*s + s. Suppose -4*t + c = t. What is the remainder when 1792\/80 + 2\/(-5) is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 100687802 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118571, -237142, -355713, -474284, -592855, -711426?\nAnswer: -829997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*r - 20 + 68, 0 = -k - 3*r + 36. Suppose 2*z - 2*a + k = 258, -520 = -5*z - 5*a. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1849753559 to the nearest ten thousand.\nAnswer: -1849750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2234333\/80 - 27929. Calculate the common denominator of 25\/27 and k.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 + -19. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -24 + 107. Suppose -2*u + 5*u = -108. Let c = u + v. Is c a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - o + 694. Let q(x) = -2*x - 46. Calculate z(q(m)).\nAnswer: 4*m**2 + 186*m + 2856","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*y = 44*y - 32 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-98 - (23 + -57)) + 14 + -1 + -1).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 29382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 90 = 2*i. Calculate the greatest common factor of 18 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*r - 21 = 0, 2*b + 3*r + 9 = -5. Calculate the lowest common multiple of 46\/10 - 2\/(-5) and -2 - b\/(28\/40).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in -7\/4, -7, 1\/18, -5?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3*(-12)\/27*(-13851 + 30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 4, j: 1, t: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127569*g + 145828 with respect to g.\nAnswer: -127569","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6544 and 48?\nAnswer: 314112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3417198 - -520002. What is z rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131 + 132.1. Let d = y - 3.1. Which is the third biggest value? (a) d (b) -0.2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -225*r - 688*r + 22825 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -1254232 - 314912. Suppose -u + 255431 + l = 2*z, 2599997 = 5*z - u. What is z rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274 + 274 + 100*m)*(2*m - 4*m + 0*m) + (5 - 5 - 3*m)*(3*m - m + 0*m) - m**2 - 2*m + 2*m + (37*m + 72*m - 153*m)*(0*m + m - 2*m).\nAnswer: -163*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1673.9810316 - 1674. Let c = -0.019 - a. What is c rounded to 6 decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 76 - 221 = 3*x, 2*x - 330 = 2*b. Let v = b - -56. Let d = 177 + v. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-7\/5)*b*b*b*b\/(b*b**(4\/5)*b*b*b)*b*b*b\/b**(-4)*b*b**15 assuming b is positive.\nAnswer: b**(109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 22 - 10 - 12)*(-15*s**3 + 10*s**4 + 15*s**3) to the form u*s**3 + v*s + i + g*s**4 + f*s**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4833\/830 + 9\/332. What is the common denominator of y and 71\/5290?\nAnswer: 10580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 2. Let y(m) = -5*m**3 - 31*m**2 + 14*m - 15. Let i(b) = -b**3 - 6*b**2 + 3*b - 3. Let o(p) = -11*i(p) + 2*y(p). Let l be o(-5). Calculate v(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5b1767 (base 12) in base 9?\nAnswer: -2687367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 78995 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128480722 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*x + 3*x**3 + 2*x + 12*x**3.\nAnswer: 15*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4538 divided by -119560.\nAnswer: -2269\/59780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, k: 4}. What is prob of sequence mk?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*1\/(-1) + (-2681)\/(-889). Is n at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s. What is the third derivative of -3*u**4 + 0*u + 0*u + s*u**2 + u**2 wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 8*y = -120. Calculate the lowest common multiple of y and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 0*s**3 - s**2 + 8*s - 1 - 6*s. What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -58\/3, -7\/4, 1, 0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f + 31. Let c be o(0). Let b = -53 + c. Let w = b - -30. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 315, 355, 395, 435?\n\"Answer: 40*u + 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyyyyiyyiyyyyyyiiyy. What is prob of sequence yiiy?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 u when two letters picked without replacement from {u: 1, y: 1, e: 1, v: 2, p: 2, i: 7}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 873.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**5\/2 + 13*d**4\/8 - 5*d**3\/4 - 49*d**2\/8 - 15*d\/4 = 0.\nAnswer: -3, -5\/4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -61 + 64. Solve -z - 21*z**2 - 15*z**4 - 27*z**c - 5*z - 3*z**5 + 14 - 14 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59594 * -0.2245\nAnswer: -13378.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 37697 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365408.8 millilitres to litres.\nAnswer: 365.4088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 994510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 27 - 11*y**2 + 2*y**3 - 38*y + 135*y - 41*y - 44*y. What are the prime factors of c(9)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-4)\/(-50) - 206\/(-10). Suppose -f*q = -25*q + 57144. Suppose -3768 = 6*d - q. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o + 2 - 2)*(-o**2 - 5*o**2 + 4*o**2) + 95*o**3 - 19*o**3 + 14*o**3 in the form s*o + r*o**3 + a*o**2 + x and give r.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s**2 - 149*s + 46*s + 31*s - 324 = 0. What is s?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -4*h**3 + 9*h**2 + 13*h + 4. Calculate s(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 + 2295*z\/2 - 2289.\nAnswer: -3*(z - 763)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 858ba + -cc?\nAnswer: 857bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let i(h) = -h**3 + 2*h**2 + 5*h - 4. Let s be i(3). Suppose 21 = k - d, 0*k + 15 = k + s*d. Solve 5*w - a = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.1 - -9.33.\nAnswer: -7.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585\/54 smaller than 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-1\/6))\/((l**(-2\/17)\/l)\/l))\/(l**(-6)\/(l\/(l*l**(2\/7)))))\/((l*l**(1\/5)\/l*l)\/l*l**(2\/3)\/l*(l*l**(1\/3))**(-2\/13)) assuming l is positive.\nAnswer: l**(433333\/46410)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 13*o - 16. Suppose -4*x + k = 6*k + 11, -5*x + 2*k - 55 = 0. Let z be c(x). What is the greatest common factor of z and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 - -233.246. Let x = 4653.64099 + -4653.4. Let y = x - t. Round y to 4 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -39*m + 198 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -6*i + 122. Suppose -3*p = -3*b - b + i, b = 3*p + 20. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 4:42 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -4*d + 77 - 83, 4*d + q = -3. Solve 2*i + 5*r = d, -2*i = -7*i - r for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 65.8463 and -665.\nAnswer: -43787.7895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -340, -25.\nAnswer: -340, -25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -475593 divided by 2?\nAnswer: -475593\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(22)\/sqrt(2) + -3.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-4*(-2)\/4). Suppose 4*w = 5*l + t + 4, 5*l + 3*w = 6. What is the second derivative of l*h**3 + 3*h**4 + 0*h**3 + 3*h wrt h?\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 3 - 11*d - 1 - d**2. What is the units digit of j(-11)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z - 1036 = -15*z. Let u = z + 300. Is 34 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 24 = -2*d, 3*r - 13 - 2 = 0. Let 4 - 8*c**4 - 3*c**2 + 0*c**2 - 4*c + d*c**4 + 4*c**3 = 0. What is c?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00734261 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1120\/48)\/35*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*4\/84)\/((-14)\/(-6)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37720699.\nAnswer: 37720699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 20. Suppose 0 = -3*h - 9, 5*u + h - 3 = -1. Let p(x) = -u + 4*x**2 + 1 - 2*x**2. What is m(p(w))?\nAnswer: 2*w**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 340 and -19.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 298 in 0.4, -1\/13, 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*((-24)\/(-84) + (-10)\/(-14)). Solve d = -c + 2*c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 24. Factor -4*d**3 - r + 4*d**3 - 4*d + 5*d**3 - d**3 + 4*d**2.\nAnswer: 4*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from iwwwiweiwi?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 172*a**3 - 2*a**2 - 3*a + 4. Let t be x(1). Let z = t - -4. Does 37 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - -55*(-2)\/20. Which is the closest to -5? (a) 0.4 (b) -0.02 (c) 4 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 16 + 24. Let b(n) = -n + 2. Let l be b(-3). Let z = h - l. Sort z, -3, 5 in increasing order.\nAnswer: -3, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**3\/3 + 4. Let n(w) = w + 10. Let k be n(-10). Let m(u) = u - 4*u + k*u + 6*u. Give m(r(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**5 - y**4 + 9*y**3 + 13*y**2 + 2*y + 2. Let i(x) = -2*x**5 + 2*x**4 - 9*x**3 - 14*x**2 - x - 3. Let f(k) = 3*b(k) + 2*i(k). Factor f(q).\nAnswer: -q*(q - 4)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/33 + 281896\/5908*28\/22?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 81.193 to one dp.\nAnswer: 81.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35*(-30)\/(-1050))\/(((-12)\/75)\/(-4))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5738 is divided by 976.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4 (b) 9 (c) 0.1 (d) 1 (e) -2\/219\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*20\/((-2)\/(-1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3477 - -3488. Solve 4 = -3*f - c + 17, c + s = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -165649*p - 6460315. Calculate k(-39).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4460 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4974, 5228, 5480, 5730, 5978, 6224?\n\"Answer: -f**2 + 257*f + 4718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -507*j + 507*j - 61*j**3 + (3*j + 2 - 2)*(-3 - j + 6 - 1)*(31*j - 12*j + 53*j) to z + l*j**3 + a*j + g*j**2 and give g.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3229, 12855, 28883, 51301, 80097?\n\"Answer: -2*s**3 + 3213*s**2 + s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 955537217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i**2 - 2*i. Let d(t) = 4*t**2 + 3*t. Let q(a) = 2*d(a) + 3*n(a). Let v(p) = -5 + 0 + 5 - 2*p**2. Determine v(q(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 take away -33.6214315192?\nAnswer: 221.6214315192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 1 = j + 5*m, 0 = m - 5. Let u(g) = g**2 - 10*g. Let d be u(j). Suppose -d*y = -8*y. Is y > -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24960.87l in millilitres?\nAnswer: 24960870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18\/49 in -5, 3, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2809*c**4\/12 - 19451*c**3\/9 - 740*c**2\/3 - 28*c\/3 + 880. Factor s(z).\nAnswer: (z - 7)*(53*z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 41803185 - 5?\nAnswer: 41803180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u - 423 = -17*u. What are the prime factors of u?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96288356741 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -7*k. Let t(j) be the first derivative of -14*j**3\/3 - 184. Calculate t(s(o)).\nAnswer: -686*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h - 34*h = -8. Let t be (-336)\/36*h*6. What is the highest common factor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15438?\nAnswer: 2, 3, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, 377 in ascending order.\nAnswer: -4, 0, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**3 + 5 - 1 - 3.\nAnswer: 5*g**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4389 = -774*b - 13677 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45 - -86. What is the remainder when t is divided by 0 + -1 + 14 - -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 224153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87 is divided by 8\/(((-188)\/48 - -4)*2).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:13 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 8919188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1\/3, -11.\nAnswer: -11, -1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75385078?\nAnswer: 2, 307, 122777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 30. Suppose 227*b - 255*b = 0. Solve -g*v + 11*v = b for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 9*q**2 + q + 4. Let x(h) = h**2 - 10*h + 12. Let s be x(9). Let m(w) = 3 - s + 2 - 1 + w**2. Calculate k(t) - 6*m(t).\nAnswer: 3*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -132 - -131. Let o be 3\/c + 3 - (-42 + 2). Calculate the greatest common divisor of 180 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 82. Let f be t(9). Which is the nearest to 12? (a) -1 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 45. Calculate the highest common divisor of 3 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*y - 10947 = -182*y + 18747. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4 = -6*n. Suppose n*q + 11 = 25. What is the third derivative of -2*w**4 + w**4 + q*w**4 + 15*w**2 - 8*w**4 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8*b**3 - 26*b**2 + 368*b + 1162. Determine f(-3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 0 - 1 = 2*s, 3 = 2*s - 3*g for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/280 - t**6\/120 + t**5\/20 + 5*t**3\/3 - 12*t**2. Let l(p) be the first derivative of z(p). Factor l(h).\nAnswer: -3*h*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -156? (a) -0.5 (b) -6 (c) -0.69 (d) 2\/7 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493106?\nAnswer: 2, 373, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 126 = -0*o - 5*f, 3*o - 81 = 3*f. Suppose 3*j - 4 = 5*i + 11, -3 = -5*j + i. Suppose j = -z + 23 + o. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 7. Let a be 18\/(-117) - (-24)\/(-13). Let d be ((-1)\/2)\/(a\/(-4)). Sort 7, d, i in increasing order.\nAnswer: i, d, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1236081 (base 9) to base 12\nAnswer: -285a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*((b\/(b*b\/b**(-4)))\/b)\/b*b*b*b**6*(b*b**(3\/7))\/(b**2*b*b) assuming b is positive.\nAnswer: b**(3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(2\/35))\/(q*q\/(q*q**(5\/2)))*(q**(-10)*q)\/q**(-8) assuming q is positive.\nAnswer: q**(101\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 503458441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190)*3*5)\/(sqrt(40)*-4))**2.\nAnswer: 4275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 + 35*y - 50 = 0. Calculate y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25480947 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 710, 709, 718, 743, 790, 865?\nAnswer: 974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/(-45))\/((-5)\/(-6))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 u when two letters picked without replacement from cncmmaqammacacacu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/84 and 45\/692818.\nAnswer: 4156908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -61549 greater than -61550?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 120. Let g = r + 127. Does 12 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 539. What are the prime factors of r?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2240 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5520, -5521, -5512, -5487, -5440, -5365, -5256, -5107?\nAnswer: -4912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, w: 2, f: 1, i: 2}. What is prob of sequence fmm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1865*a + 0*a**3 + a**3 + a**3 + a**2 + 52 - 1559*a.\nAnswer: 2*a**3 + a**2 + 306*a + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4814 and -0.23828192?\nAnswer: 4814.23828192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 1. Let h(q) = -10*q + 17. What is h(k) + 4*r(k)?\nAnswer: -6*k + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (241056\/2666)\/3?\nAnswer: -6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 41, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -i, -4*c = -16*i + 17*i - 8 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/20 + 5\/25. Find k, given that 2*k - 1\/2*k**2 - x = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 350, 491, 644, 815, 1010, 1235, 1496, 1799?\n\"Answer: l**3 + 134*l + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c - 46 = 57 + 73 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**7\/14 + 2*k**6\/15 + 2*k**5\/5 - k**4\/2 - 5*k**3\/6 + k**2 - 25*k. Determine y so that q(y) = 0.\nAnswer: -1, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, -4, -4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(-32)\/180 + (-2)\/(-9). Suppose b*t + 23 = 5*y, -19 = -y + 4*t - 0*t. Let v(q) = q**2 - 2*q - 3. What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -24186*g + 96737. Give z(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g**2 + 2*g - 4. Let d = -551 + 573. Suppose 0 = d*a + 4 + 62. What is r(a)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2307*z**4 + 15*z**3 + 195920*z**2 wrt z.\nAnswer: -55368*z + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 83, 6, 8, -2 in descending order.\nAnswer: 83, 8, 6, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 49 - 59)*(2 - c - 2)*(-1 + 2*c + 1).\nAnswer: 50*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f**2 - f**2 + 0*f**2)*(3*f - 7 + 7 + (-2*f + 2*f - f)*(2 - 1 - 3)) to h + w*f**2 + s*f + q*f**3 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84 by -123.\nAnswer: 28\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of 0*a - 10 - 15\/2*a**2. Let d(p) = 2*p**2. Calculate d(i(v)).\nAnswer: 450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66999228?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 3. Suppose 2*u + g - 13 = 0. What is the highest common divisor of 55 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39580925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12983?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-340))\/((-13)\/((-780)\/738))\nAnswer: -1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 62.17632 minutes?\nAnswer: 3730579200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bci when three letters picked without replacement from mmccbcemkeecci?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1 - 4*x**2 + 1. Let l be u(1). Let v(r) = 2*r + 3. Let f(b) = 2*b + 2. Let j(o) = o**2 + 4*o. Let s be j(-5). Calculate l*v(z) + s*f(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 1335762476 and 2671524953\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r**0)\/(((r**9\/r)\/r)\/(r*r\/(r\/(r\/(r\/((r\/(r*r**4))\/r))*r))*r)) assuming r is positive.\nAnswer: r**(-19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522227400 a multiple of 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -57*n - 6. Let s(l) = -3*l + 1. Calculate -d(z) + 18*s(z).\nAnswer: 3*z + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*o - 31*o + 92 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22530, -22659, -22878, -23193, -23610?\nAnswer: -24135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 42 = -3*a. Let y be ((-10)\/(-16) + -1)\/(a\/28). What is the second smallest value in 3, y, 1.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 997 = 6*l + 349. Let c = 1 - 1. Suppose 3*s + l = 3*a - c*a, -4*s = -8. 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 smallest value in -7831, -0.4, 1\/5?\nAnswer: -7831","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 9*a + 2. Let d be m(-3). Let o be (d\/(-14))\/((-2)\/(-432)). Suppose 9 - o = -11*z. What is the remainder when 33 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -3, 1, 12426.\nAnswer: -3, 0, 1, 3, 5, 12426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286 = -1193*u - 12837 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/6 and 101\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102.5 + 103. Let x be ((-2)\/(-6) - 1)*-3. What is the nearest to 0.2 in x, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3)*s*s)**(-23) assuming s is positive.\nAnswer: s**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816625515?\nAnswer: 5, 43, 8449421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 950000 to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 39 = g + 12, 0 = f + 3*g - 3. Let y = f + -10. Suppose -4*n + 3*c = -18, y*n - c - 6 = 2*c. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -331 + 39. Let y = r - -647. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -641, -1102, -1559, -2012, -2461, -2906, -3347?\n\"Answer: 2*j**2 - 467*j - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*3\/(-24) - 105\/(-196). What is the second smallest value in -1, -4, -7, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/270873 and 31\/60194.\nAnswer: 541746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 7 - 4 = -5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18676110 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16a494c + -c?\nAnswer: -16a495b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -14, 2*h - 303*u + 39 = -298*u. Which is the smallest value? (a) h (b) 10 (c) -0.4 (d) -5 (e) -8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3230 and 50.\nAnswer: 16150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -55 + -1223?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 6*l. Let y(g) = -258*g + 201*g + 2 - 1. Give h(y(c)).\nAnswer: -342*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 14*c - 6*l = 12, -4*l - 10 = c - 0*l + l for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 93273*u**6 + 585*u**5 + 42*u**2 + 3*u - 48951.\nAnswer: 11192760*u**3 + 35100*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -400055\nAnswer: -4\/400055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20995243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 18. Let r(w) = -8 - h*w - 3*w - w. What is the remainder when 111 is divided by r(-6)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165815, 0.04, -5 in increasing order.\nAnswer: -165815, -5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -185, -145, -59, 73, 251, 475, 745?\nAnswer: 1061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 14 = -4*m, 1240*m - 1238*m + 3*k = -4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-357)\/(-52))\/3 + 2556\/(-1136).\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2208*s - 2*p - 18 = 2210*s, 3*p + 49 = -5*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 6 = -5*g + 2, -2*g - z = 4. Suppose k + 2*k = g. Solve k = -d - 3*d + 20 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12212 and 1462387?\nAnswer: 5849548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11121120211 - -1?\nAnswer: 11121120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 720*n**2 - 21796*n - 115920.\nAnswer: 4*(n - 207)*(n + 7)*(n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*8\/16*(-1)\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213377950*j**4 - 201047530?\nAnswer: 853511800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1341 and 1341?\nAnswer: 1341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 1 - 21\/28 - 182\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42381940 by -5.\nAnswer: 8476388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 577.4 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**3 + 1. Let x be h(1). Let s = 663 - 668. Which is the third smallest value? (a) s (b) -0.1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -76, -195, -504, -1099, -2076, -3531?\n\"Answer: -16*y**3 + y**2 - 10*y - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664384 to the power of 1\/2, to the nearest integer?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.9 + -2.1. Let y = -19.8 - m. Let f = 3 - y. Which is the smallest value? (a) f (b) -1\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v + 490. Let g be p(0). Suppose -3*w = 94 - g. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-2) - 2\/4. Let o = 853\/52 - 65\/4. Let n = 88 + -438\/5. Which is the nearest to 2? (a) o (b) q (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20079.4461 to the nearest integer.\nAnswer: 20079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -521 + 1055 - 533 - 347*v in the form o + s*v and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 20*a + 3. Determine f(-5).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3523 from -707886.\nAnswer: -711409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 32*s + 28. Let a be c(6). Is 2 a factor of (2\/(-4))\/((-22)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -z + 2*w + 2, -2*z = w + 9. Let b(x) = 2*x - 1. Let q(k) = k. Let n(v) = z*q(v) + b(v). Let r(j) = 3*j + 1. What is 5*n(h) + 3*r(h)?\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 41 - 69 - 18)*(-1 + 1 + l).\nAnswer: 3*l**2 - 128*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4\/21, -5, 2, -0.221 in descending order.\nAnswer: 4, 2, -4\/21, -0.221, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - 1. Calculate the remainder when 31 is divided by 3\/(9\/a) + 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -193, -338, -597, -970?\n\"Answer: -57*p**2 + 26*p - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -142, -8, 0, 210 in increasing order.\nAnswer: -142, -8, -7, 0, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 363706?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-540)\/2*112\/(-1680)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**3 + 3*a**2 - 4*a**3 - 5*a**2.\nAnswer: -21*a**3 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28409922.\nAnswer: 2, 3, 23, 163, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 - 92*m**2 + 344*m - 336.\nAnswer: 2*(m - 42)*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6998945 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*18\/30*(-10)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1908\/(-636)*(14\/(-6))\/1\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 469 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7333740 is divided by 6601.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -44353*c. Let t(d) = 29*d. Calculate t(r(p)).\nAnswer: -1286237*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 3\/2 (b) -4 (c) 2\/5 (d) -361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0, -1\/4, 0.284, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 2268441?\nAnswer: 2268441.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27517 + -4341. What is the ten thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -58*w - 1783. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + q + 3)*(4*q + q - 2*q) - q**2 + 2*q**2 + q**2.\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in grams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, -2*r - 12 = -3*r - 4*m. Solve -3*y = y + r for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 8*r**2 - 7*r + 12. Let s be n(6). Which is bigger: s or 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/13, 0.1, 2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**4 - 36*h**3 - 45*h**2 + 78*h.\nAnswer: 3*h*(h - 13)*(h - 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 52, 72, 94, 118?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -706*p**5 - 11*p**2 - 657*p. Let b(w) = -235*w**5 - 4*w**2 - 219*w. Let q(k) = -11*b(k) + 4*u(k). What is the second derivative of q(a) wrt a?\nAnswer: -4780*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 + 55. Suppose -k - 82 = -5*q, 19 = q - 3*k - 3. Suppose 3*g - q = x, 3*x + 12 = -0. Solve g = -4*b - t for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50184.15 - 2.11259.\nAnswer: -50186.26259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 0.2. Let p = 294465 + -294469. Which is the closest to -1? (a) -1\/2 (b) w (c) 2\/17 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2*i - 14 = 0, 0 = q - 7*i - 64 + 34 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6*i**3 + 2*i**2 + 3*i + 251. Give g(0).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -532*a*m**4 + 74*a*m**2 - 3*a*m + 17199*m wrt m?\nAnswer: -6384*a*m**2 + 148*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*v + 3*v**2 + 569*v - 144*v - 141*v - 134*v.\nAnswer: 3*v**2 + 10*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/10 - (-51)\/15. Let t be ((-14)\/(-6) - 2)*y. Suppose -t = -g - 0. Which is smaller: g or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 84309.355 to the nearest ten.\nAnswer: 84310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b - 1. Let s(f) be the third derivative of 5*f**4\/8 - 10*f**3\/3 - 34*f**2. Let m(p) = 5*j(p) - s(p). What are the prime factors of m(-3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 0, -35, -110, -231, -404?\n\"Answer: -r**3 - 14*r**2 + 14*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 3:03 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcggglclglgeg. Give prob of picking 2 g.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((4 + -2 - 9) + 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7486 - 7485.99965445. Round r to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 2*c + c as d*c + u and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjwgrrgrrjwg. What is prob of picking 2 r?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**3 - u**3 - u**2 - 2*u**2 + u**2 to the form n*u + b + k*u**2 + h*u**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 2*d + 70. Let q be (d + 5)\/(3\/(-5)). Let c = 8 + 7. Calculate the highest common divisor of c and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -49, 125, 7, 19 in decreasing order.\nAnswer: 125, 19, 7, 0, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.3, 0.5, -1669 in decreasing order.\nAnswer: 0.5, 0.4, 0.3, -1669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*n**2*r*w**2 - n**2*w**5 + 46*n**2*w - 37684*n*r*w**4 - 934*r wrt w?\nAnswer: -60*n**2*w**2 - 904416*n*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 579*k + 435*k - 1305*k - 4074 = 0 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-4 + 2)*(-156)\/13 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i. Let t(g) be the second derivative of 0*g**2 + 1\/12*g**4 + 0 + 0*g**3 - g. Determine t(k(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.11364, -1\/5, 0.01?\nAnswer: -0.11364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjr when three letters picked without replacement from cyjmrrm.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301438 is divided by 767137?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 1:15 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1 - 2.4. Suppose 9*l = 8*l + 14. Let k be 4\/l - 60\/(-35). Which is the third biggest value? (a) k (b) r (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 6*i + 8. Suppose -y + 2*j = j - 10, 34 = 5*y - j. Determine z(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zex when three letters picked without replacement from memxzemqmqxxqzmzm?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 60246460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 a factor of 5099448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -1052*h**2 + 44192*h - 420. Calculate c(42).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2062747?\nAnswer: 2062747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/219 and (-9)\/(-12)*(-6)\/15?\nAnswer: 2190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/5)*w)**(-1\/2))**(2\/37)*(w**3\/w*w**(-3))\/(w**6\/w*w*w**5) assuming w is positive.\nAnswer: w**(-2227\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 327, 432, 545, 666, 795, 932?\n\"Answer: 4*w**2 + 93*w + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -5*j + 5*h + 9, 0 = -4*j + 3*h + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 + 2*t. Let y(s) = -5*s**2. Determine p(y(g)).\nAnswer: 75*g**4 - 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1421 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -468319 > -468309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3\/7 - 10*l**2 + 252*l - 7632\/7.\nAnswer: -2*(l - 12)*(l - 6)*(l + 53)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 800.9038 minutes in milliseconds?\nAnswer: 48054228","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493567 is divided by 641?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohshoszionss. Give prob of sequence ih.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*t**2 - 103*t**2 + 208*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 72*l**2 - 2*l + 1. Suppose 0 = -4*z + 12, 1 + 17 = 3*v + 4*z. Let t be -1*(-1)\/2*v. Is w(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780219 is divided by 259735?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 - ((35 - 6) + -6)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f**(8\/7)*(f*f**(-1\/6))\/f*f**(2\/9)*f*f*f**(-1\/5))**(14\/13) assuming f is positive.\nAnswer: f**(3149\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -40e (base 15) in base 5?\nAnswer: -12124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67459 is divided by 4813?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1896 and 1896?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 316.96 - 301. Let i = -16 + j. Let w = 1.04 + i. Which is the third biggest value? (a) w (b) -0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9 (b) -4 (c) 11 (d) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 18*a**2 + 1. Let w be g(1). Suppose -5*r = 5*f, 0 = 3*r + 3*f - 5*f - 15. Suppose -54 + 225 = r*n. Calculate the highest common divisor of w and n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 8:21 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*o + 21307330 = 92*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 265487 and 4569956?\nAnswer: 406726084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1280 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 30*d**2 + 151*d + 246. Calculate the least common multiple of 1287 and m(-24).\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*-5*(-1)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -t**4\/12 + t**3\/2 + 8*t**2. Let y(w) be the first derivative of w**3\/3 + 4*w**2 + 4*w - 1. Let z be y(-8). Calculate j(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 5, e: 3, u: 2, n: 3}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 834765696 a multiple of 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-16)\/(-64)*760\/16 and 51*((-103)\/36 - -3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-155*y - 59*y + 49*y)*(80*y - 80*y - 15*y**3).\nAnswer: 2475*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 23 = -32*p + 37*p, 3*y = -7*p - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cu when two letters picked without replacement from ccffcccuf?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (75 + 0)*(-7025)\/(-25). What is the tens digit of ((-8)\/(-6))\/(5\/(m\/10))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 1:02 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 23*p - 4. Let b(o) = -8*o + 1. Let n(k) = 17*b(k) + 6*j(k). Let u be n(5). Solve 6*y = -5*s + 2*y - 22, 0 = u*s - 2*y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*a + 23*t - 24*t, -4*a - 4*t + 24 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -15.6. Let h be 4\/(0 - 3\/(-3)). Let b = 4 - h. What is the smallest value in f, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + u - 4. Let x be o(0). Let m be (-21)\/(-4) - (-1)\/x. Suppose m*j - 15 = 20. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*s**3 + 2*s**2 - 160*s - 32.\nAnswer: 2*(s - 4)*(s + 4)*(5*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3a25 (base 11) to base 7\nAnswer: 21151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(2)*4)**2 + -3)*6.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k\/(k*k*k\/k**(-7))*k*k*k\/(k*k**(-1\/6))*(k**(-2)*k*k)**44 assuming k is positive.\nAnswer: k**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 8 = -8. Let g be f\/(-2)*2 - 31. Let q = g + 37. What is the least common multiple of 1 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*g**3 - 133480*g**2 + 113375403*g wrt g?\nAnswer: -324*g - 266960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9896 = -5*m, 2*v + 3*m - 28653 + 8875 = 0. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*f**5 + 682*f**4 - 2704*f**3 + 2312*f**2 + 576*f = 0. What is f?\nAnswer: -72, -1\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 + -33. Suppose -5*k = -39 + d. Let i(u) = 3 - 1 - k + 0*u**2 + u**2 - 3*u. Determine i(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113801?\nAnswer: 31, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 + -109. Suppose 8757 = k*r - r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -95757 at most -95756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 452193 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -338, 0, 30.\nAnswer: -338, 0, 1, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*x**2*z**2 - 4*x**2*z - 76*x**2 + 2*x*z**2 wrt z.\nAnswer: -54*x**2*z - 4*x**2 + 4*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 43097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -1. Let w(u) = -u**2 - 3*u. Let m be w(-1). Suppose -6*j = -m*j. Solve p*t + 2*t = j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.08 (b) 1 (c) -1 (d) -2.03 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42258 by 6.\nAnswer: -7043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/20, -3, -1\/4, 4\/7, -0.2, 365, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i - 712. Let z = 408 - 573. Let n = z - i. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472 = -11*v + 3*v. What is the remainder when v is divided by (-164)\/(-14) + (-4)\/(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4278668, 0.\nAnswer: 0, 1, 5, 4278668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17038615987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162) - -5*(sqrt(162) - sqrt(162)*3 - sqrt(162)))\/sqrt(9) - (2 + sqrt(200)*-1 - (sqrt(200)*2*-6)**2).\nAnswer: -32*sqrt(2) + 28798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/37536938?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**5\/60 + x**4\/8 - 5*x**3\/6 - 49*x**2 - 4*x. Suppose 7 = -y + i + 2*i, 0 = y - 4*i + 11. Calculate g(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9828 by -63.\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 14*i**2 + 61 + 2*i + 82\/3*i**3. Find the second derivative of a(m) wrt m.\nAnswer: 164","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 353719 and 19346.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 - (79 + -61) - -13 - 14.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 747\/5 + -4374\/35. Is b at most as big as 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2276054 and 1606?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 14641057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1253720928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220121200 (base 3) in base 14?\nAnswer: -16c5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, q: 2, t: 8}. What is prob of picking 2 q, 1 t, and 1 p?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9386788 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5000 - 51?\nAnswer: -5051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 52302.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 8) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615738143?\nAnswer: 137, 157, 28627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000016884171 rounded to six decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 322*c - 110*c - 11*f = 108*c + 101*c + 52, f + 2 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1))**(-5\/3))**(-37) assuming i is positive.\nAnswer: i**(370\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (177\/(-6))\/((-1)\/6). Let x = f - 365. Let r = 1318\/7 + x. Which is the nearest to r? (a) -0.3 (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 99?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-6))\/((-466)\/2796)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 11*v. Let b(t) = -5*t - 4. Let p(o) = -14*o - 11. Let h be 8 + (-1)\/((-5)\/15). Let u(r) = h*b(r) - 4*p(r). What is u(x(l))?\nAnswer: 11*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-98)\/(-13328)*2754*16\/(-6)*(-4)\/(-3)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 7\/6, 0.04, 0.088, 1\/5, -5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474 - 1438 - n + 482 + 482.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2327*d**2 + 19*d + 18. What are the prime factors of y(-1)?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**4\/11 - 406*g**3\/11 - 17328*g**2\/11 - 48384*g\/11 = 0.\nAnswer: -144, -56, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -231*v - 9*v**3 + 12*v**3 - 3 - 32 + 3*v**3 - 5*v**3.\nAnswer: v**3 - 231*v - 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 - 3*l**2 - 3*l + 2. Let a be z(4). Let q(w) = -a*w**2 + 5*w**2 + 0*w**2. Let r(h) = -18*h. Give q(r(b)).\nAnswer: -324*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 9*o + 6 + 3*o**2 - 5*o**2. Let x(r) = -3*r**2 + 13*r + 11. Let j(y) = -11*v(y) + 6*x(y). Let q = 4 + -3. Give j(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5365 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 3, -0.3, -17, -572, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the second derivative of 26*w**6\/15 - w**5\/10 - 53*w**3\/3 + 19*w. What is the second derivative of h(r) wrt r?\nAnswer: 624*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31\/((-5270)\/(-34)))\/(1\/95)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47474209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-140)\/105*7\/56*-156\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -159*n**2*u**2 - n**2*u + 27*n**2 - n*u**2 - u**2 + 2*u - 26 wrt n?\nAnswer: -318*u**2 - 2*u + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -1983.\nAnswer: -396.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*l - 96 + 96)*(13*l**2 - 8*l**2 - 7*l**2)*(0*l**2 + 2*l**2 + l**2).\nAnswer: -126*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + -3)*-6 + (-3*sqrt(2448)*-3)**2.\nAnswer: -12*sqrt(17) + 198306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14238539.\nAnswer: 7, 163, 12479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*b**3*q**2 - 2*b**3*q - 4*b**3 + 2*b**2*q + 21327*b*q**5 + 751*b*q wrt q.\nAnswer: 4*b**3 + 426540*b*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -23. Find the third derivative of 95 - 95 - 8*l**2 + 2*l**h wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 - 1. Determine j(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.1 - 88237044?\nAnswer: -88237072.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 4. Suppose -1150*x + 528 = -1106*x. Suppose -5*r + i*w - x = -r, 5*r - 5*w = -20. Solve s + s = r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**2 - 337*c + 3. Let h(i) = 14*i. Give h(p(w)).\nAnswer: -42*w**2 - 4718*w + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1436.\nAnswer: 7180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 351826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 408149717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -2) + 12*-1. Let i(w) = -w**3 - 11*w**2 - 10*w + 3. Let j be i(u). Solve -24 = -j*s - 2*q + 5*q, 2*s - 13 = q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11867 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 75.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 27*f + 3*j = -714, -5*f + 1178 = -2*j. What is the highest common divisor of 624 and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005973 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 1.8. Which is the nearest to 0? (a) 0 (b) x (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*c + 2642363 - 2660458 = 0 for c.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 - 14. Sort -14, o, -4 in descending order.\nAnswer: o, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 222, 480, 830, 1266, 1782, 2372?\n\"Answer: -x**3 + 55*x**2 + 2*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5) + 2 - (-30 - -15).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60176, -60164, -60152, -60140, -60128?\n\"Answer: 12*u - 60188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2706, -7003, -12876, -20331, -29374, -40011?\nAnswer: -52248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*s**2\/5 - 709801*s\/5 - 52578\/5.\nAnswer: (s - 26289)*(27*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 936\/(-1092)*(-7)\/(((-2)\/2)\/1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 17*v - 11. What is the remainder when d(-13) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.8 - -4.9. Let g = k - -8. Which is the biggest value? (a) 7 (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2 = -7*x. Suppose 0*s - x = -4*i - s, 0 = -5*i + 3*s - 3. Solve 2*m + 0*m - 4 = i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 9 + -3 + -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14939, 15132, 15453, 15902, 16479, 17184, 18017?\n\"Answer: 64*j**2 + j + 14874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - 6)*(2 - 2 + 2)*((4*o - 3*o - 2*o)*(2*o - 5*o + 2*o) - 2*o**2 + 0*o + 0*o + 0*o**2 + 4*o**2 - 2*o**2) to g*o**2 + w*o + k and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -5*s + 32, s - 5*p = -2. Let z = s + -5. Suppose -z + 73 = 5*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 41 - (34 + -16).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 149082370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6703368 by -837921.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7))**(-4\/19) assuming d is positive.\nAnswer: d**(28\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3890*d**3 - 4668*d**2 - 28008*d. Let a(w) = w**3 + w**2 + 6*w. What is 4668*a(o) + j(o)?\nAnswer: 778*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express a**3 - 2 + 5 - 4 + (0*a**2 + a**3 + 0*a**2)*(2 + 1 - 7) as c*a**3 + y*a**2 + p*a + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/573273?\nAnswer: -2\/573273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, s: 1, m: 2, n: 2}. What is prob of sequence rrnm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -143517560 - -2?\nAnswer: -143517556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a**3 - 39*a**2 + 3*a - 39. Let p be s(5). What is the closest to p in 0, 3\/736, -0.1?\nAnswer: 3\/736","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 21 + 3. Let w(r) = -6*r + 4. Let m be w(a). Suppose 5*o - m = 60. Calculate the smallest common multiple of 8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -416, -485, -610, -785, -1004, -1261?\n\"Answer: d**3 - 34*d**2 + 26*d - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12354 - 416061?\nAnswer: -431445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 - 11 = 0. Solve -j + 12 = 2*j, 2*v + k*j - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**2 - 7*l**2 + 18*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -17. Let r(h) = 2*h**3 - 2*h + 1. Let v be r(-2). Let g = 18 + v. Calculate the lowest common multiple of g and m.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, l: 1, v: 7, y: 3, q: 4}. What is prob of picking 1 z and 2 q?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l + 4. Let r(m) = -5*m**2. Calculate k(r(q)).\nAnswer: 10*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 22 - 28 = 0. Solve -5*m + 2*j + 1 = 0, 2 = 3*m - 5*j - i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 + -323. Let f = u + 1807\/9. Which is the third biggest value? (a) f (b) -1 (c) -17 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-21))\/((-6)\/9)*(-32)\/472?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 16*b**2 + 20*b + 59. What is the remainder when 435 is divided by f(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38017693.\nAnswer: 7, 541, 10039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1935804 - 24?\nAnswer: -1935828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -2245?\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/2425 + -2806\/1239175. Let m = 3587\/2555 + x. Which is smaller: -0.7 or m?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-26)\/(-39))\/(1\/(-3)*-1). Suppose 2*l - 3*v - 7 = l, 4*v = b*l - 8. Let o be (10 - 12)\/(1\/l). Solve -1 = 4*d - u, o*d - 5*u = 10 + 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502.5088 years in millennia?\nAnswer: 0.5025088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/5 - (-6)\/15. Suppose -5*d + 253 = -3*j, -r*d = 3*j + j - 122. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 10. Let w(v) = -15 - 11 - v**2 + 24 + 6*v. What are the prime factors of w(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 210*q - 675 = 0. Calculate q.\nAnswer: -45, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/241 and -28\/723.\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*d**4 - d**3 + 2 + d**2 - 82*d**4 - 81*d**4 as z*d**2 + l*d + o*d**3 + g*d**4 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 436729162?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-20)*(-5)\/2. Let c(t) = 2*t**2 - 3*t + 2*t**2 - 3*t**2. Calculate c(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -136001\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*a**3*m**3*u + 40*a**3*m**3 + a**3*m*u - 2*a**2*m**2*u + a**2*m*u - 8*a**2*m + 12*a*m*u + m**3 wrt a.\nAnswer: 258*m**3*u + 240*m**3 + 6*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -34. Let a be -4 + 3 + w\/(-8)*-4. Suppose q + 5*b = -a*q + 812, -5*q - b = -1324. Calculate the greatest common factor of q and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -27*v**2 + 0*v - 11*v**3 + 3 - 3\/4*v**4. Factor o(c).\nAnswer: -3*c*(c + 2)*(c + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 23407, 23389, 23371, 23353?\n\"Answer: -18*z + 23425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 77202707171111 - -3\nAnswer: 77202707171114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -762, -2971, -6650, -11799, -18418, -26507?\nAnswer: -36066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 5*h + 27. Suppose -h*i + 5*i + 20 = 4*r, 4*r = 5*i - 34. Let n(j) = 13*j - 4. Is 9 a factor of n(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from {n: 3, l: 1, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -6*u + 52 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - 5.55\nAnswer: -5.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.13, -0.2, -11, 9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1277 + 159.6391?\nAnswer: 159.7668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 38127 divided by 231?\nAnswer: 12709\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -1605?\nAnswer: 1608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 51063*t**2 - 218075145*t + 6711347325.\nAnswer: -3*(t - 8495)**2*(t - 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -28, -113, -254, -457, -728, -1073, -1498?\n\"Answer: -n**3 - 22*n**2 - 12*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -18*t + 112. Suppose 0 = 4*j, -3*f - 47 + 230 = -4*j. What is the remainder when f is divided by b(5)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-0.109\nAnswer: 0.327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(5\/2)*n*n\/(n\/n**3*n)*n)**(-1\/9))**(-25))**(-4\/23) assuming n is positive.\nAnswer: n**(-650\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -6 (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and -34\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 145434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand n**3 - 4*n**3 + 6*n**3 + (3*n**2 - 2*n**2 + n**2)*(2*n - n + n) + n**3 - 2*n**2 + 2*n**2 - n**3 - 3*n**3 + 3*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 6*d - 11*d + 8761, 3*d - l - 5263 = 0. Suppose -w - w = -z + 355, 5*z + w = d. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 + 3*k + 3. Let v be c(5). Suppose -4*h = 20, 2*u + 48 = 5*u - 3*h. Let l = v - u. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 122 - -32021033?\nAnswer: 32021221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q + 418. List the prime factors of q.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1589 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((q**(-4)\/q*q)\/q*q)**(4\/3))**(-5\/16))**(-1\/9))**(1\/22) assuming q is positive.\nAnswer: q**(-5\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4115.0000016008 - -4115. What is k rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -13\/778 (b) -1\/11 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x - n = 74, -370 = -5*x + 4*n. Suppose 3*t - 64 = 4*z, -887*t + 5*z = -888*t + 15. Calculate the remainder when x is divided by t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-9))\/(h**(4\/9)\/h))\/(h**(-7))**(-6\/5) assuming h is positive.\nAnswer: h**(-713\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*m = -42, 74 = -5*k - 3*m + m. Calculate the remainder when (k - -4)*16\/(-6) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 3809?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4424 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 400322 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*q = 18*q + 19606 - 79994. Calculate the smallest common multiple of 4 and q.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqzqzzzzqzqzq. Give prob of sequence zzq.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22971614 is divided by 1767047.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 2*r = 4, -3*r + 3160 = 2*p + 3154 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-8)))\/o*o\/(o**(-1\/3)*o*o)*o*o*o*((o*o\/((o\/o**(-4\/7))\/o))\/o)**(4\/21) assuming o is positive.\nAnswer: o**(1384\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 5:29 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 251913?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5 - 1416*q**4 - 125316*q**3 = 0. What is q?\nAnswer: -177, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 20948 and 724 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*m**2 - 53*m*p*u + 4207*p*u with respect to m.\nAnswer: 40*m - 53*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/9, 5\/6, -13.6, 27, -5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/4*2)\/(16845\/70749).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jzdjlfm. Give prob of picking 1 f and 1 z.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 1:42 AM?\nAnswer: 5:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert d794de (base 15) to base 2.\nAnswer: 100111001000010101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -116.751 - -66447947\nAnswer: 66447830.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 divided by 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 6 + 21 = 0. Suppose m + 91 = p*r - 0*m, 4*r - m - 72 = 0. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 56*r - 1. Let f = -13 - -20. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-8) - (-1559)\/4. Suppose 0*t + 5*t - z = 0. Suppose 5*k = -2*r - 2*r + t, -3*k + 36 = -3*r. What is the remainder when 40 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*t + 7*j + 100 = 70*t + 59*t - 13, -3*j = 45 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253234407 to the power of 1\/2, to the nearest integer?\nAnswer: 15913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - k = -5, 4 = 2*v - 4*k - 4. Let x(n) = 2*n**2 + 5*n**v + 3*n**2. Let a(b) = -2*b**2. Determine x(a(m)).\nAnswer: 40*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of r**4\/6 - 5*r**3\/6 - 5*r**2. What is the first derivative of s(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 4*r + 2*r. Let y(t) = t**3 + 8*t**2 - t - 1. Let g(p) = p**2. Let k(q) = r*g(q) + 2*y(q). What is j in k(j) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*d - 1480 = 0. Suppose 2*z = -4*s + d, -s - 5*z = 41 - 106. Suppose 182 = 2*t - 3*b - s, t - b = 126. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 14. Let d be -3 + 1*(4 - (-1 + 5)). Let f be x(d). Solve -q - 7*h - f = -2*h, 4*q = -3*h + 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/10? (a) -0.4 (b) 15\/2 (c) 1\/5 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011046279488 rounded to 5 dps?\nAnswer: -0.01105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203325 - 609973 + 203319 - 52*m**2 + 203328.\nAnswer: -52*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 23*n**2 - n. Suppose -4*k + y = 9, -4 = -k - 4*y + 3*y. Give h(k).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5477*t**2 - 2737*t**2 - 2740*t**2 - 491*t - 598*t**3 wrt t?\nAnswer: -3588*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -72 and -51252.\nAnswer: 3690144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 101831034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + 3*f + 931, f = -2*i + 911. Suppose 3*n = 5*t + i, 6*n = n + 2*t + 795. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*n**2 + n**2 - 2*n**2)*(18 + 161 + 222 - 106) in the form u*n**2 + d + a*n and give u.\nAnswer: 885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62503?\nAnswer: 7, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.9839925 kilograms?\nAnswer: 983992500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 194992 - 128382. List the prime factors of x.\nAnswer: 2, 5, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000048751 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -2*c + 3*d, 0*c - 4*d - 127 = -c. Let i be (1 - -2) + (-1654)\/c. Let h = -14\/123 - i. What is the common denominator of h and -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from {d: 3, c: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 3. Let b be 330\/99*(1\/(-2) + 2). Let x(g) = g + 5 + 4*g - g. Let s(r) = b*x(r) - 7*z(r). Give s(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 113796367?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -163*s**2 + 4*s + 5. Determine x(-1).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -109*y - 305. Let q be z(-3). Solve 0 = 24*d - q*d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*m, -5*g + 2*g = 3*m - 18. Suppose g = i - 2. What is the highest common factor of i and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m. Let v(q) = 21*q**2 + 814. What is w(v(r))?\nAnswer: 42*r**2 + 1628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 270057839 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 475, 730, 1007, 1312, 1651, 2030, 2455?\nAnswer: 2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-948)\/(-330) - ((-3)\/(-2))\/(300\/80)?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 16428614, 32857229, 49285842, 65714453, 82143062, 98571669, 115000274?\n\"Answer: -y**2 + 16428618*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (6 + (-5 - -2) - 7) + -7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 + 1\/3*r**2 - 7\/3*r = 0. What is r?\nAnswer: -18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 9 = 5*s + a, 0 = -4*s + a. Let r be (-4 - -3)*s + 4. Suppose -2*i - r*i = -30. Which is smaller: i or 8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j**3 + 4*j**2 - 4*j + 4. Let m(g) = -g**3 - g**2 + g - 1. Determine -4*m(a) - x(a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 2 (b) 1 (c) -5\/3 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k + 5*k**2 + 60 - 31 - 3*k - 1 - 123 as i*k + c + m*k**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 22733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 16*n**2 - 30*n - 47. Determine w(-14).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 24963.285 months?\nAnswer: 2.08027375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 8*k + 6. Let a = 17 + -29. List the prime factors of n(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least -12\/1159057?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/((-4)\/(-432)*9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 7:16 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r - 48*r = -71*r - 24 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50 divided by 607.\nAnswer: -50\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*(1 - (-39)\/6). Calculate the lowest common multiple of 52 and 8\/(-3)*r\/(-20).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfffffffffffffffffnf. Give prob of sequence ff.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -51*s + 360. Let l be n(7). What is the closest to -59 in 0.01, l, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 1:50 AM?\nAnswer: 5:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2184.3017 - -4.1417. Let h = -1988 - i. Let v = 196 - h. What is v rounded to 1 dp?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + -cc?\nAnswer: -ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*a**3 - 2 + 2)*(-4*a + 4*a - 2*a - 7) in the form k + r*a + m*a**3 + y*a**4 + g*a**2 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o = 0. Solve -u - u + 6 = o, 4*u = 5*q + 37 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2957696.91us to weeks.\nAnswer: 0.000004890371875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f\/(f\/(f*f*f*f**17)))\/f))\/f*f*f\/f**(1\/6)*f)**(-1\/41) assuming f is positive.\nAnswer: f**(97\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + a**2 + (-a + 3*a + 0*a)*(-a + 6*a - 3*a) + 5*a**2 + 0*a**2 - 4*a**2 - a**2 + 3*a**2 - 3*a**2 + 3*a - 1 - 11*a**2 + 0*a**2 + 22*a**2.\nAnswer: 16*a**2 + 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - k**2 - k + 1. Let b(r) = -104 - 112 + 218. Let x(a) = -a**2 - a - 9. Let z(g) = 5*b(g) + x(g). What is -p(h) + z(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(-1073*m - 5 - 1062*m + 2163*m).\nAnswer: -112*m + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4324977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000164 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 5*p + 1\/2*p**3 + 0 - 1\/4*p**4 + 3*p**2. Solve m(z) = 0 for z.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7998 = 5*s + 4*v, -8*s - 7992 = -13*s - v. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14258 is divided by 6175.\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31627739.\nAnswer: 11, 13, 221173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-589)\/58590*27)\/(3\/24) - 4\/(-2)?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 25*f**3 - 6*f + 5. Let q be v(1). Let k be (3 - (-3 - q\/(-4)))\/(-2). What is the closest to k in 0.3, 7, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 338?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 244*c**2 - 208*c**2 + 894*c**2 - 32 - 218*c**2 - 213*c**2.\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/70 in -5, -3\/2, 3\/7, -36, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1944004894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263474 take away 24?\nAnswer: -1263498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 r when three letters picked without replacement from {i: 5, d: 1, x: 2, c: 5, r: 6}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -6. Let n be (-72)\/(-32) - z\/8. Let f(h) = -h + 4. Determine f(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j**3 - 6*j**2 + j + 6. Let d(a) = -107*a**3 + 205*a**3 + 11*a**2 - 11 - 111*a**3 - 2*a. Determine -6*d(q) - 11*h(q).\nAnswer: q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7173274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.57 * 0.5.\nAnswer: 0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222 + 20002010012?\nAnswer: 20001221020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 69?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*g + 0 + 3*g**4 - 3\/4*g**3 - 15\/4*g**2.\nAnswer: 3*g**2*(g + 1)*(4*g - 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-19 + 22) - -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -99, -360, -803, -1434, -2259, -3284, -4515?\n\"Answer: -m**3 - 85*m**2 + m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-8))\/((-6)\/472). Let r be -3 + 1 - (1 + 46). Let h = p - r. Which is the nearest to 0.1? (a) 2\/5 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**5\/160 + 7*r**4\/96 - r**3\/4 + 4*r - 12. Factor m(a).\nAnswer: -a*(a - 4)*(a - 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f + 167. Let y(r) = 2*r - 591. Let t(k) = -21*a(k) - 6*y(k). Calculate t(5).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crciicqicciihi. Give prob of picking 2 c and 1 q.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 - 66. Suppose -4*m = -5*l + 33, i*m - m + 1 = -l. Solve -l = o - 7 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + 2175b1f?\nAnswer: 2175b21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 10 + 17 = 3*h, 0 = -2*h + 10. Let j = -3 + q. Which is the nearest to -1? (a) j (b) -0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 + 1.79. Let r = y + 0.01. What is the smallest value in 2\/3, 0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 7*v**2 - 2*v + 2. Let f(k) = 2*k**2 - 2*k + 2. Let r be f(2). What are the prime factors of a(r)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -23. Let a(t) = t - 1. Calculate the least common multiple of a(5) and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)\/(sqrt(4)\/sqrt(2)))\/sqrt(8).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -857 + 857.051. Is -6 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**9\/13608 - c**7\/3780 + 11*c**3\/6 + 9*c**2. Let i(r) be the first derivative of y(r). Solve i(x) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2) + 2) - (2 + sqrt(72)))**2.\nAnswer: 96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, 3, 0 in increasing order.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 5 (c) -7\/263 (d) -18\/13 (e) 4 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 6619\/17976?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/1885*(-2146)\/296. Suppose 0 = 2*f - 4 - 0. Suppose 4*u = f*u + 6. Which is the biggest value? (a) 0.3 (b) q (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 741000 rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 0*n - 2*n)*(6 + 5*n - 6)*(n**2 + 2*n**2 - n**2 + 2) in the form b*n**4 + x*n**3 + i + q*n**2 + z*n and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -231ad?\nAnswer: 231a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -49 + (46 - (-15 + -7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*l + 76*l - 12 = 3*h, -3*h = -3*l + 9 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4914*l + 5203*l - 10120*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + -3*(3*sqrt(315)\/(sqrt(7)*-2) - (sqrt(540)\/(2*sqrt(12)) + 1))**2.\nAnswer: -542 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2878 > -325268\/113?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Let j = -23 - -27. Put j, 3, r in decreasing order.\nAnswer: j, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z**4 + z**3 - z + 1. Let g(c) = -15*c**4 - 59*c**3 - 86*c**2 - 31*c + 7. Let h(l) = 2*d(l) + 2*g(l). Let h(o) = 0. Calculate o.\nAnswer: -2, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422204 - 414022?\nAnswer: -1341231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 10:58 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477048 and 10008.\nAnswer: 1431144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/11)*y))\/y)**(-2\/67)*(y\/(y**(-2\/7)*y))\/y*y**(-1\/31)*y assuming y is positive.\nAnswer: y**(44441\/159929)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, 4, 60, 200, 460, 876, 1484, 2320?\n\"Answer: 6*a**3 - 12*a**2 + 2*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 6)*(-12 + 12 - 5*w)*(2*w + 4 - 5 + 3) + w + 2*w**2 - w.\nAnswer: 72*w**2 + 70*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4\/(-10) - 1. Let j = -241921 + 1693432\/7. Sort t, -4, j.\nAnswer: -4, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557 + 557 - 862*p**3.\nAnswer: -862*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 2:22 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k**2 + 6*k + 1. Let m(o) = -13*o**2 - 26*o - 5. Let j(f) = -9*i(f) - 2*m(f). Calculate j(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**9\/10080 + g**7\/1680 + g**4\/12 + 3*g**2. Let h(x) be the second derivative of p(x). Factor h(z).\nAnswer: -3*z**2*(z - 1)*(z + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5125, -16308, -34947, -61042, -94593, -135600, -184063?\nAnswer: -239982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 118817 to the power of 1\/3, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -119 - 39*m**4 + 119 + (-4 + m**2 + 4)*(-6*m + m**2 + 6*m).\nAnswer: -38*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378389*c**4 - 243939 with respect to c.\nAnswer: 1513556*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8756 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16 + 3 + (-1 - 0). What is the remainder when 9 is divided by 2\/(3*3\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of 4*v - 1\/20*v**5 + 1\/12*v**4 + 0 + 0*v**3 + 0*v**2. Determine z(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0)\/(-1) - 1. Solve -2*k = -3*r + 13, -3*r - 5*k = -m*r + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1100) + -3)*-3.\nAnswer: -9 + 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, t: 5, a: 5, u: 1, n: 5}. Give prob of sequence nu.\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4491.418 centuries to months.\nAnswer: 5389701.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2\/45)*y*y**(-30)*y)**(-2\/35))**4 assuming y is positive.\nAnswer: y**(10096\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the first derivative of -2*i**3\/15 - 1. Factor s(t).\nAnswer: -2*t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 90154*m - 10. Give x(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/208)\/(7\/(-16))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 144085, 286381, 428677?\n\"Answer: 142296*v + 1789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/2 - 24*(-198)\/(-44)*1\/(-9)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42483073 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 6998?\nAnswer: 6998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3470 and 680.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -21815529.4 - -0.09035\nAnswer: -21815529.30965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/17, 4.5, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + -3 + (sqrt(180) - ((sqrt(180) - (1 + sqrt(180) + sqrt(180) + sqrt(180))) + 2 - sqrt(180))) + sqrt(180)*1 + 1)*4*5)**2.\nAnswer: -72000*sqrt(5) + 1803600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v*v)**(3\/23)*v**1\/v**(-4)*((v\/(v*v**(-1)\/v))\/((v\/v**(3\/2))\/v))**(-1\/91) assuming v is positive.\nAnswer: v**(2811\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -636, -703, -770, -837, -904, -971?\n\"Answer: -67*o - 569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b + 15*b**3 + 1 - 3*b + 2*b + b**2. Let c be o(-1). What is the remainder when 8*7 + 13 + c is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*m - 35360491 + 35360491.\nAnswer: 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1291450 and 1610?\nAnswer: 9040150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2040714 or -0.45?\nAnswer: -0.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2a0?\nAnswer: -29e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 27 and -1356.\nAnswer: -1329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000 + -2?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h + 10. Let p(t) = 10*t - 162. Let u be p(17). Let o be s(u). Solve 2*g - o = -5*q, q = -0*g - 5*g - 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 44 = -4*b, -2*y - 81*b = -86*b + 19. Solve 6*c - 2*c = -y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 5456754094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.188 - 1.188. What is the closest to b in -1.7, -4, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (317 - -1)*26\/78 is divided by 42.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 423*h.\nAnswer: -423*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.0630289 micrometers?\nAnswer: 0.0000630289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*l**3 - 669*l**3 - 139*l**3 - 48*l**3.\nAnswer: -764*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1)\/(-4) + 0. Suppose -3*n - 3*l - 3 = 0, g*n + 2*n + 4*l + 8 = 0. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 2*q = -4*b + 5, -39 = -5*b + 3*q. Suppose b = -3*p + 45. Suppose -p = -4*t - 0*t. Solve -y = -5*y - t*f + 8, -4*f = -4*y - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -70, -83, -96, -109, -122, -135?\n\"Answer: -13*j - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-1*sqrt(19) - (sqrt(76)\/(sqrt(4) - sqrt(36)))**2.\nAnswer: -19\/4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1914227.7 + 70?\nAnswer: -1914157.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6482 + -16.\nAnswer: -6498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24705 is divided by 24541?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of -f**7\/30 - 9*f**3\/2 - 8*f**2. Differentiate d(q) wrt q.\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 + 5*m - 1. Let x(c) = -c**3 + 17*c**2 - 73*c + 10. Let p be x(8). Determine h(p).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a + 4 - 5*a**2 + 0*a + a. Let v = -21291 + 21294. Determine l(v).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 s when four letters picked without replacement from svvsvvvvvvvvsvvvvv?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2)*m*(m*m\/(m\/(m**(-7)\/m)*m))\/m)\/(m**(-3)*m**(-6)) assuming m is positive.\nAnswer: 1\/m","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*u - 171 = -3*u + 2*u. Sort 44, u, -3 in increasing order.\nAnswer: -3, u, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*o**3 + o**3 - 134*o**3 + 458*o**3 - 166*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 + 5*r + 30. Suppose 3*k + 5*d - 62 = 7*k, -8 = -4*d. What is the least common multiple of q(k) and 3?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 + 134*q**2\/7 - 384*q\/7.\nAnswer: -2*q*(q - 64)*(q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(2940) - sqrt(60))\/sqrt(4))\/(sqrt(33)\/(1*sqrt(275))).\nAnswer: -75*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*a**2 + 150*a**2 - 431*a**3.\nAnswer: -431*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 13) to base 2.\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 + 2643?\nAnswer: 265a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((11\/(-2))\/(2\/(-36)))\/((-219264)\/(-146176))?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1985 - 1980. Solve -11*f = -m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121280 and 208?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*b = -11, -9*b + 6*b = 2*w - 7. Let g(c) = 51*c**3 + 3*c**2 - 1. Determine g(w).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876682?\nAnswer: 2, 438341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 2\/(-4))\/((800\/(-590))\/(-40)). Factor 19\/2 + 3\/4*b**2 - i*b.\nAnswer: (b - 19)*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (3 + (-12 - -10) + -7)) + -39\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 19*r**2 + 41*r + 133. Determine w(-3).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71.5 + -72. Which is the third biggest value? (a) 1 (b) 2 (c) s (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11473003259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 31.993 + 0.007. Let j = -0.52 + 32.52. Let k = j - p. Which is smaller: 0.01 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 1, i: 1}. What is prob of sequence vvt?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 203 + -185. Sort j, 1, 5, -1 in decreasing order.\nAnswer: j, 5, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12477 - 12464. What is the remainder when 1089 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(304))**2 - (sqrt(209)\/sqrt(11) + -3 + sqrt(19)).\nAnswer: -2*sqrt(19) + 307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 4*y + 10, -164*y + 166*y = 5*v + 22 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 204 and 32538?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(114)\/sqrt(6) - (2*sqrt(19))**2*6)*5 + -4.\nAnswer: -2259 + 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q + 23. List the prime factors of m(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 916860050 a multiple of 4643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 72 + 187 = 0. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 8. Let h = -13 - -23. Suppose z - h = 2. Let s = z - 12. Give p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -15, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -5372679.\nAnswer: -19\/5372679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9879675?\nAnswer: 3, 5, 13, 10133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 2\/81259?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 5:26 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.549 - -66.549. Which is the third smallest value? (a) h (b) 3\/10 (c) -1\/4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 344 + -345.61. Let w = -1.51 - f. Put 0.09, w, 3 in descending order.\nAnswer: 3, w, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/4))**(-1\/28)*(o\/(o**6\/o)*o)\/o*o*o**3*(o**1*o*o**(3\/4)*o)\/((o**(1\/5)\/o)\/(o**(1\/2)\/o*o)) assuming o is positive.\nAnswer: o**(2823\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - 50*g - 168. Let q be t(53). Let j(f) = -f - 11. Let u(h) = h + 11. Let m(n) = -3*j(n) - 4*u(n). Calculate m(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 88586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opoxltt. What is prob of picking 2 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/10)\/((6\/(-4))\/(-1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -712456 = -122*k + 1812312 - 175536. What is the ten thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/10*(-39525)\/(-13950).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0979307 and 0.11232?\nAnswer: 0.0143893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 42 - 40. Find the second derivative of -16*r + 2*r - 18*r**2 + 46*r**h wrt r.\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -566400 divided by 94400?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 + 73*t**2 + 4*t + 2. Let k(z) = 2*z**3 + z**2 + z + 1. Calculate -j(d) + 2*k(d).\nAnswer: d**3 - 71*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2552 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqq. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14043\/5 + -2809. Let h(w) = -w**2 - 3*w + 13. Let z be h(-5). Which is the second smallest value? (a) d (b) -1\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**13)\/j)\/(j**(-4\/5)*j) assuming j is positive.\nAnswer: j**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s + 3*s - 23 - 5*s - 6 in the form j + t*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003808 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d. Let h(x) = 90*x**2 + 40*x + 50*x - 90*x. What is h(v(r))?\nAnswer: 5760*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23279, 23276, 23273?\nAnswer: 23270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(9)\/sqrt(3) + sqrt(3)) + sqrt(3) + sqrt(15)\/sqrt(5) + -4 - ((sqrt(3) - (2 + sqrt(3))*-4)*4)**2.\nAnswer: -2228 - 1286*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 521 + -521. Let y = 0.3 + -0.1. Which is the closest to w? (a) 2\/9 (b) y (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 0*i - 2 = -2*i, 0 = s - 5*i + 17. Suppose -16 = -s*j - j. Sort 1, -3, j in descending order.\nAnswer: j, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*o - 70, -79 - 7 = 3*o + 4*i. Let x = 46 + o. What is the highest common factor of 4 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7978672?\nAnswer: 2, 13, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 5. Let x be s(5). Suppose 3*y - 92 - 46 = x. Let r = y + -28. Is r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/18691904 and -5\/224?\nAnswer: 18691904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23347823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -40, -67, -126, -229, -388, -615?\nAnswer: -922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33200?\nAnswer: 2, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + 771\/(-18) + 8. Let d = w - -34. What is the second smallest value in 3, 1, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5529, 22107, 49729, 88389, 138081, 198799, 270537, 353289?\nAnswer: 447049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(102)*2*-1)\/(-1*((sqrt(48) - (sqrt(4800) + (sqrt(4800)*-1 - sqrt(4800)))) + sqrt(48) - sqrt(48))\/sqrt(8)).\nAnswer: -60*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.074 - -1.1. Let w = 0.894 + y. Let t = -0.919866 + w. Round t to five dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25002004.92900211 + -25001838.929. Let a = x + -166. Round a to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*r - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y + 41. Suppose c - 13 = 3*f, -6*f - 5*c = -11*f - 25. Let x be i(f). Sort x, 2, 4, -10.\nAnswer: -10, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 9 = -g - o, -o + 16 = -4*g. Let n(k) = -k - 1. Let c be n(g). Suppose -11 = -j + 3*z + 1, 3*j - c*z = 15. Is j a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Let x be 8\/((6*1)\/w). Suppose 0 = z + x*z - 30. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let p(a) be the second derivative of -7*a**3\/6 - 5*a**2\/2 - 4*a. Let t(n) = -18*n - 12. Let i(d) = -12*p(d) + 5*t(d). Calculate i(x(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7665 is divided by 153.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of 2*w**7\/147 - 2*w**6\/105 - w**5\/7 - w**4\/7 + 3*w. Let a(t) = 0. What is t?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3\/673 - -43721\/5384. Let n be 0 - -1 - 370321\/70. Let a = 5280 + n. Calculate the common denominator of y and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**6\/360 - z**5\/40 - z**4\/6 + 5*z. Let y(c) be the third derivative of j(c). Differentiate y(u) wrt u.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 80 = 86, 4*t = -2*z + 26728. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000629 to 6 dps.\nAnswer: -0.000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p. Let r(q) = 15*q. What is f(r(g))?\nAnswer: -120*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -5, -223, 3, -2 in increasing order.\nAnswer: -223, -5, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -959, -1151, -1475, -1931, -2519, -3239, -4091?\nAnswer: -5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.46 + 0.04. Let d = -6429 + 6429. Which is the closest to 16? (a) -2\/3 (b) u (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332253 and 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -458 - -3204\/7. Let g = -20\/9 - -2. Which is the nearest to w? (a) -3 (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 416493*z + 5414601. Determine j(-13).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 - 339\/9)\/(-3 - (-929956)\/309984). What is d rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.038, -3\/5, 13, 0.3, -0.2, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -665780, -665751, -665722, -665693, -665664, -665635?\nAnswer: -665606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 847.8666ng to grams.\nAnswer: 0.0000008478666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 12:43 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/9, -1, 3, 23.6 in ascending order.\nAnswer: -1, 1\/9, 3, 23.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/7 - (17365396863\/5658531970 - 1). Let j = 1227\/2175940 + b. Let t = -3\/743 - j. Calculate the common denominator of t and 41\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -1\/24*b**4 + 0*b + 0*b**3 + 2*b**2 + 0. Let l(f) be the second derivative of -2*f**3\/3 + 3534*f. Give q(l(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 13\/240*n**6 - 1\/420*n**7 - 25\/48*n**4 - 3\/8*n**5 + 0*n - 19*n**2 + 0 + 125\/6*n**3. Let l(u) = 0. Calculate u.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -1. Let y(z) = z**2 - 8*z + 8. Let r be y(h). Sort 0.2, 0, r in decreasing order.\nAnswer: r, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 23. Suppose j + 12 = 4*l. Factor 0*n - 1\/6*n**5 + 1\/2*n**4 + 0 - 1\/3*n**l + 0*n**2.\nAnswer: -n**3*(n - 2)*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -7*a + 6. Let c = 6 + -14. Let z be x(c). Suppose 0 = -4*m - 5*i + 54, 5*m + 4*i - 1 = z. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5115 divided by -5\nAnswer: 1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 54, 119, 210, 327, 470?\n\"Answer: 13*z**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 256*q**2 - 122*q**2 - 130*q**2 as f*q + t + m*q**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.7 - 20.1. Let g = 21 - 20.9. Which is the closest to h? (a) -3 (b) 2\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 16 = -0*p. Suppose 0 = -p*x + 3*x + 345. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 4. Let c(a) = -a - 9. Let v(n) = -3*c(n) + 7*q(n). Let y(m) = 17*m + 5. Calculate 9*v(w) + 2*y(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = 4*d, 5*r - 2*d - 3*d = 60. What is the greatest common divisor of 169 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -270, -3, 13 in decreasing order.\nAnswer: 13, -1, -3, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 2:10 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 13*z + 2058 = -2892. Let l be (-537)\/(-18) + 1\/6. Calculate the highest common divisor of z and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 2*c = -4, -2*u = 1643*c - 1644*c - 6 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1293*i**3 + 318*i**2 - 975*i.\nAnswer: 3*i*(i + 1)*(431*i - 325)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 + 12*r - 11*r - 18*r**2)*((-5*r + r + 2*r)*(5*r - 3*r + 0*r) - 3*r**2 + 2*r**2 + 2*r**2 - 2 + r**2 + 2)*(-5 + 4 + 3).\nAnswer: 72*r**4 - 4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81054 = 1201*i + 530*i + 756*i + 60705 for i.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2350\/(-940))\/(3\/10)?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/96 and -79\/18880?\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300, -305, -310?\nAnswer: -315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 270613 (base 9) to base 14\nAnswer: 43d59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 25 times 0.21\nAnswer: 5.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100012210011 (base 3) to base 16.\nAnswer: -233437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -8. Let w = 5 - m. What is the third derivative of 0*r**2 + w*r**2 + 4*r**5 - r**2 wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**3\/((j*j**(-7\/3))\/j*j))\/((j\/j**(2\/33))\/j**10))**50 assuming j is positive.\nAnswer: j**(22100\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2)*(2 - 2). Suppose -y - y + 648 = g. Is 13 a factor of (-4)\/10 + y\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 339 is divided by 122.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 times 501.1?\nAnswer: -10.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 13*b\/2 + 42.\nAnswer: (b + 12)*(b + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j - 175. Let x be i(20). Sort x, -1, -21 in increasing order.\nAnswer: -21, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6.457 + -6.5. Let d = 0.547 - k. Let o = d - -0.01. What is o rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(2)*2 - sqrt(28))\/((sqrt(40)*-2)\/sqrt(10) + sqrt(4)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 301 + 0?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(200) - (-2 + sqrt(200))) + sqrt(200) + sqrt(200).\nAnswer: -2 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.216 + -2.844. Let q = -0.06 - y. Let c = -4.2 - -0.2. What is the second biggest value in c, q, 7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 f, and 1 b when three letters picked without replacement from fkpiipfqbifibff.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 2:46 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6\/5 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430\/(-585) + 383\/153?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 0*w = 12, 0 = 4*a - 5*w - 8. Let c(r) be the second derivative of r**3\/6 - 2*r**2 + 2*r. What is c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:44 AM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -757, -1528, -2317, -3124, -3949, -4792, -5653?\nAnswer: -6532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u - 4. Let l(w) = 2*w + 1. Let x be l(1). Let j be (-4)\/26 - (-28)\/13. Let v(c) = -j + 4*c + 3 + 2. Give x*k(d) + 4*v(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-48)*16\/(-24))\/((-3)\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17662 is divided by 4415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 311402013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z - 45 + 9*z - z. Let v be n(23). Let o be -1 - (-26)\/v - 44\/(-22). Which is the nearest to 0.1? (a) -27 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (114\/18 + -6)\/(39\/91 - (-837)\/(-42))\nAnswer: -2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34250?\nAnswer: 2, 5, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*k - 2*k = -4, 4*k = -5*c - 6. Suppose 2*v + 3*u = 25 - 0, -2 = c*u. Which is smaller: 15 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 4. Let a(j) = -f + 3*j + 1 + j + 0. Let b be 12 - (-490)\/(-30) - (14\/(-6) + 3). Let i(p) = -2*p + 3. Determine b*i(w) - 3*a(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757869 by 1673.\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*y + 1835 + 11529 = -5928 for y.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244881274.\nAnswer: 2, 11, 41, 73, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*u + 37*u - 6 = -42*u. Let g(m) be the first derivative of -1\/2*m**u + 1\/2*m**4 + 0*m + 1\/3*m**3 - 22. Factor g(x).\nAnswer: x*(x + 1)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -0.02, 1484 in decreasing order.\nAnswer: 1484, -0.02, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.7 in 4.3, 35, 62, 17?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24765 + 2*l - 12387 - 12390.\nAnswer: 2*l - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1379419*-0.8\nAnswer: -1103535.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3413666655 rounded to five decimal places?\nAnswer: 0.34137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19.2*0.5.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0159 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5908*g**3*m**2 - 10801*g**3*m + 2*g**2*m**2 + 4*g**2*m - 1301*g**2 - 15*g + 3*m**2 wrt g?\nAnswer: -35448*m**2 - 64806*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932495870 rounded to the nearest one hundred thousand?\nAnswer: 5932500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 103657?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h. Is 10 a factor of r(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - r = -r. Suppose 2*g - 4 = r, 5*x + 4*g - 53 - 35 = 0. Calculate the remainder when 29 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-1))\/((-30)\/(-20))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 924.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60 - -28) + 38 - (-34 - -1).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n - 53 = 4*f + 51, 14*n + 24 = 21*n - 9*n + 2*f for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/7))\/q*q)\/q**8)**30 assuming q is positive.\nAnswer: q**(-1530\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*y**2 - 68*y**4 - 332*y**6 + 68*y**4 + 49*y + 7*y**2 - 3*y**2 wrt y.\nAnswer: -39840*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 97289.04ug?\nAnswer: 0.09728904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2 + (20 - 3 + 31 + (2 - 5 + 1)*(0 - 4 + 3))*(0 - 5 + 3))*(-5*q**4 + 0*q**4 + 4*q**4).\nAnswer: 98*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1437430 (base 9) to base 15\nAnswer: 109d69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 3259713?\nAnswer: 3259702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -18, 7, 52, 123, 226, 367, 552?\n\"Answer: f**3 + f**2 + f - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29764?\nAnswer: 2, 7, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 0*h + 0*h**4 - 13\/2*h**2 - h**6 + 0*h**5 - 8 + 0*h**3. Find the second derivative of t(n) wrt n.\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.19369 and 2544500490?\nAnswer: 2544500491.19369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -958975\/127 + 7551. Let o be (-1)\/(1\/2*-2). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2*j**3 + 1)*(117*j + 0*j + 85*j) - 12*j + 14*j - 1 + 17*j**4 - 47*j**4 to the form a*j**2 + u + k*j**4 + o*j + g*j**3 and give k.\nAnswer: 374","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101999 + 59597 - 59016 = 3468*q + 137874 for q.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58419958385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 5*h - 3*h = 111, -5*r - h + 185 = 0. What is the units digit of 3\/(r\/(-20) - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-48 + 3))*2. Suppose k - 35 = g. Suppose -g + 21 = -2*a. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the third derivative of -1\/120*y**6 + 37*y**2 + 1\/24*y**4 + 1\/3*y**3 + 0*y + 0 - 1\/30*y**5. Factor z(s).\nAnswer: -(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54247 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 158724716 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-16))\/((-20)\/16)*18\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 6. Suppose -k = 5*u - 6 - 3, -2*k + o = 0. Solve 4 = -d + u for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 25*w. Let a(p) = -350*p. Let m be 11\/(-3) - 3\/9. Let o(t) = m*a(t) - 55*y(t). Let r(u) = 2*u. Give o(r(d)).\nAnswer: 50*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -3, -33, 3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 14*l. Let x(a) = -19*a + 2. Let j(r) = 3*r. Let c(n) = 6*j(n) + x(n). What is b(c(k))?\nAnswer: -14*k + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 375 and 14775?\nAnswer: 73875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*x + 59*x + 64*x - 151*x + 0 + 1.\nAnswer: 14*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46308?\nAnswer: 2, 3, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 456*q + 3469*q + 2653*q + 815672 = 0 for q.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o**4 + 3*o**4 + 2*o**4)*(20 - 30 - 29).\nAnswer: -78*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166 = -2*k - 420. Let n = 293 + k. Suppose 2*d - 4*h = n, -d - 3*h = 2*h - 76. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -10*r**3 - 3*r**2 - 4*r. What is the smallest common multiple of w(-1) and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 3*a + 136812. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21452*x**3 + x**2 + 2*x + 6027 wrt x?\nAnswer: 128712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(204)\/(sqrt(96)\/sqrt(8)).\nAnswer: -1 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 21*f**2. Let w(a) = 169*a**2. Calculate 39*o(u) - 5*w(u).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1230*h - 422*h - 809*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/(-4))\/((-8995)\/17990).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -5*y**3 - 5*y**2 - y - 1. Let g(x) = -7*x**3 - 5*x**2 - 2*x. Let k(d) = -3*g(d) + 4*q(d). Calculate k(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -84444362 or -84444360?\nAnswer: -84444360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-96)\/(-240) - 18\/10*-17 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-3) + 215883\/7803?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -94, -256, -438, -634, -838, -1044, -1246, -1438?\n\"Answer: r**3 - 16*r**2 - 121*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-23*(-48)\/1932)\/(4\/(-14))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4073249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58596 and 2098.\nAnswer: 61467204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 - -18.7. Let w(z) = z - 17. Let n be w(17). Suppose -j - 4*v + 5 = 0, n = 3*j + j - 4*v. Which is the third smallest value? (a) q (b) 2\/5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -10 + (1 - (33 + -23)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -11 in decreasing order.\nAnswer: 7, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 19*y + 11*y = -2*y. Solve y = 2*v - 440 + 438 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14, -21, -80, -163, -270?\n\"Answer: -12*p**2 + p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 142*5\/(1 + 9). Suppose -25 = 5*a, -a + 401 - u = -5*g. Let v = 109 + g. Is v a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -253170000 rounded to the nearest one million?\nAnswer: -253000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 4*p**3 + 8*p**2 + 9*p + 3. Determine x(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 5*t + r, -5*r - 26 = -t - 3*r. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 135*l**5\/8 - 189*l**4\/8 - 213*l**3\/8 + 105*l**2\/8 - 3*l\/4 = 0.\nAnswer: -1, 0, 1\/15, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 51? (a) 19 (b) 0.16 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 + -12 - -4) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*z = -17*z - 25 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 281 - 426. Let n be (4\/10)\/(29\/f). Let s = 7 - 7.07. What is the smallest value in -0.3, n, s?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/6 - i**3 - i**2\/2 + 8*i\/3 + 2.\nAnswer: (i - 6)*(i - 2)*(i + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 96. Find the common denominator of -13\/4 and 150\/s + (-4)\/(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -451, -455, -459?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79 or 146?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117672 - 192291.8.\nAnswer: -309963.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20.3? (a) 0.3 (b) 2 (c) 2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/(-5*(sqrt(8) - (1*sqrt(8) - sqrt(8)))) - 2*sqrt(125)*6.\nAnswer: -301*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -19*n**2 + 3 - 6*n - 6 - 1 - 2 + 3. Let j(s) = -96*s**2 - 32*s - 16. Let a(t) = -16*d(t) + 3*j(t). Let h(l) = 8*l**2. Give h(a(v)).\nAnswer: 2048*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (110\/25 - 4)\/(-3 + (-77)\/(-25)). Solve -s + 0*k = 2*k + 2, -j = s + 3*k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-4)\/(-8))\/(6\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1221 - 5?\nAnswer: 1215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 2*o + 3. Let z be k(-6). Suppose -69*r - 82 = -71*r + 2*q, 0 = -4*r - 2*q + 224. Is r less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-1))\/(0 + 2). Let f = 101680\/11 - 323536\/35. Let b = f - 2\/55. Is c at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/7 + 5220*o\/7 + 519552\/7 = 0. Calculate o.\nAnswer: -96, 2706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15518497126 - -353.\nAnswer: -15518496773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -20) + -11 + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 665.2251 millilitres?\nAnswer: 0.6652251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15154292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6008639 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -65*u**3 - 10*u**2 - 3*u - 37. Let t(d) = 33*d**3 + 5*d**2 + d + 18. Let w(k) = 7*t(k) + 4*z(k). Is w(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/77 not equal to -1\/10382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 9*v - 9. Let d be p(9). Let b be (-3)\/d + (-130)\/(-6). Let x = 37 - b. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + 13*i**2 + i - 5. Let o(n) = 3*n**3 - 20*n**2 - n + 7. Give 5*o(z) + 7*x(z).\nAnswer: z**3 - 9*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12014094 or -12014091?\nAnswer: -12014091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 + 239 - 2)*(4 - 4 - 2*y + 5*y + 0*y - 3*y + (3 + 2 - 4)*(-5 - y + 5) + 2*y + 0*y - 3*y + 1 - 1 - 2*y + (1 - 2 - 1)*(-2 + 2 + 2*y) - 2 + 2 + 2*y).\nAnswer: -2058*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055313 rounded to 3 dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 14*i**2 - 12*i - 32. Calculate r(-5).\nAnswer: 378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/8716 or 1?\nAnswer: -7\/8716","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (880\/1210)\/(4\/22). What is the biggest value in r, -2, 0.5, -158?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 2:16 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*o + 20*o - 98*o**2 - 49*o**2.\nAnswer: -147*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 4*i - 5. Let u(x) = -8*x + 9. Suppose -5*p = 2*a + 13, 0*a - 2*p = a + 4. Let d(y) = a*u(y) + 15*n(y). List the prime factors of d(7).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of v**6\/120 - 9*v**5\/20 - 31*v**3\/6 - 12*v + 7. Let q(c) be the second derivative of o(c). Factor q(a).\nAnswer: 3*a*(a - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 155 (c) 96\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -856+15235118439\nAnswer: 15235117583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 7:03 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -690.8*-0.07\nAnswer: 48.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - 12\/(-4) - (1 + -2). Suppose -x*m - 5 = -4*m. Calculate the remainder when 23 is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*x - r - 18, -3*r = -3. Suppose -4*n**3 + 0*n + x*n**3 - 4*n + n = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3661 + -3639. Solve 16*z - 10 = u for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.57 - -0.57. Which is smaller: 40 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/347872 and -32\/54355?\nAnswer: 1739360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*a = -9*a + 159 - 173, -a = 4*y + 18 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08 + 0.38. Let j = b + 2.7. Let i = 2.9 - 3. What is the third biggest value in i, 7, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 + 21)\/1 + -7 + 2. Suppose -45*k + y*k = -5520. Calculate the remainder when k is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 291*a**2 + 1155*a - 36 = 0?\nAnswer: -4, 3\/97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3203 + 1213?\nAnswer: 4421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + x + 4. Let q be m(-3). Calculate the common denominator of 1\/(-2) + (-25)\/15 and 5\/4*7*4\/q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6661378 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/62 and 43\/6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 2*j**2 - j + 2. Let f be w(-2). Suppose -f*g = -92 + 68. Suppose -3*t = -6*t. Solve 2*x = -t*x - g for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 3 = -2*q - q, 0 = 4*q + 4*w - 24. What is the second derivative of -4*n**3 - 4*n + 3*n**q + 4*n + n wrt n?\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2637*u**3 + 2*u + 128551.\nAnswer: -7911*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.715 - -0.185. Let k = 1.91192 - u. Round k to three dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*k - 4676 = -17996. What are the prime factors of k?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4742 (base 9) to base 15.\nAnswer: -109b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34715?\nAnswer: 5, 53, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 101, 0.2, 0, 1, -71, 0.4, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 5*y**2 + y + 3. What is p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -14.\nAnswer: -14, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 6*p**2 + 6*p. Suppose 3*q - 4*z - z = -10, -5*z + 45 = 4*q. Determine l(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, q: 1, o: 4, l: 6, e: 4, i: 2}. What is prob of picking 1 o and 2 i?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbwrbllblllllwbblvb. Give prob of sequence bbv.\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/357380 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*x + 10*x - 16*x = 408 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*t + t + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 212637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -5. Let a = j + 5. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 745*m - 1148*m - 827 - 785 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 8:38 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 + 3*p**3 - 4*p**3 + (-p + 3*p + p**2 - 3*p)*(0*p + p + 25*p).\nAnswer: 27*p**3 - 26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1141525015 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.466113l to millilitres.\nAnswer: 5466.113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1749 and 17\/17808?\nAnswer: 195888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 312 = -d + 3*z, -d + 340 = 3*z. What is the greatest common divisor of d and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2623 and 1376?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1838930, 3677878, 5516826, 7355774, 9194722?\nAnswer: 11033670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a8 (base 15) to base 10\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 825 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-512)\/7904*182\/(-56).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9370337 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40555 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**9\/22680 - r**7\/1260 + r**6\/540 + r**4\/6 + 5*r**2. Let u(t) be the second derivative of p(t). Let u(q) = 0. Calculate q.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -223 + 223 - 11070*a.\nAnswer: -11070*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -848 times -0.0001?\nAnswer: 0.0848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27*b*q*u**3 + 5*b*q*u**2 + 35*b*q - 4*d**3*q*u**3 - 9*d**3*q - 72*d*q*u**3 - d*q*u**2 wrt u?\nAnswer: 162*b*q - 24*d**3*q - 432*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 1892*m**3 + 2397*m**2 - 2. Let c(l) = 5677*l**3 + 7181*l**2 - 7. Let p(r) = 2*c(r) - 7*h(r). What is the third derivative of p(i) wrt i?\nAnswer: -11340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -2. Suppose 4*u - 22 + s = 0. Suppose -u*k + 37 = -13. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*i + 4*q, -i - 4*q + 8 = 3*i. Suppose -2*l = -i - 14. Let u(x) = 10*x**2 - 5*x**2 - l*x**2. Let p(n) = 10*n**2. Determine u(p(k)).\nAnswer: -200*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -246, -2158, -7344, -17442, -34090, -58926, -93588, -139714?\nAnswer: -198942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*l + 25*l + 21*l)*((4 + 1 - 1)*(1 + 4 - 2) + 2 + 0 - 3 - 2 + 0 + 1) to z + t*l and give t.\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*((-17)\/(-1))\/(-17)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 2. Let f be m(5). Let a = f - 18. Calculate the least common multiple of 3 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -476953926 divided by 6?\nAnswer: -79492321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/210)\/((-9)\/(-27)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 328517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = -4*a - 0*a, -5*a = -2*f + 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010100 + 1000?\nAnswer: 100011011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00749 rounded to 4 dps?\nAnswer: -0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3188 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2960*0.007.\nAnswer: 20.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -47*m + 1636. Calculate d(35).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**7*g*(g*g**(-1))\/g)**(-3\/13)*((g\/g**(1\/3))\/g)**(14\/3)*(g**(-1\/4))**(-1\/28) assuming g is positive.\nAnswer: g**(-41435\/13104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*g**3 + 15*g**3 - 797 - 5108 - 29*g**3.\nAnswer: 2*g**3 - 5905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/3 + (-5 - 17\/(-3)). Let f = n - -56. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198 - -203. Let g(j) = -15 + 1 - j + 10 + 3. Let h(c) = -7*c - 8. Calculate q*h(s) - 40*g(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3322)\/(-168))\/((-6)\/(-9)). Let u = 219\/8 - y. What is the common denominator of 109\/10 and u?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 0 - 1 - 23 - 57*q + 0*q - 10. What is the remainder when c(-3) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 366490 and 1340?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 - 1.2. Let j be (-4)\/(-6) - (-2)\/6. Let c = -0.5 + 0.1. What is the nearest to j in s, 4, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 z, and 1 h when three letters picked without replacement from {r: 5, t: 3, h: 2, z: 1, g: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:04 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4640?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-10)*((-100)\/(-6))\/(-10). Let o be (-105)\/(-10)*(-20)\/d. Let u = -6 + 13. What is the highest common factor of o and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 8. Let w = -21314 + 23355. Suppose n*f + 871 = -p + 2940, -w = -p + 3*f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5672, -5674, -5690, -5726, -5788?\nAnswer: -5882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 401707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -98\/3. Let z = -0.5103 - -0.0573. Let v = -0.053 - z. What is the biggest value in -0.1, f, v, 0.06?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 8 - 5*o + (-2 + 5 + 0)*(-2*o + 1 + 6*o + 5*o)*(-2 + 4 - 4).\nAnswer: -59*o - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/13)*j**(-2\/11)*j)\/((j\/((j**(-2\/5)\/j)\/j))\/(j*j**(-3))) assuming j is positive.\nAnswer: j**(-3386\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -2. Let l(g) = -5*g + 6. Let z(f) = -f**3 + 7*f**2 - 7*f. Let x be z(6). Let p = 12 + x. Let j(m) = 4*m - 5. Calculate p*j(n) + u*l(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3733, 18988, 45779, 84106?\nAnswer: 133969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17.09*-0.07.\nAnswer: -1.1963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*z**2 - 3 - 2 + 5 to the form u*z**2 + f + h*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/43 in -0.1, -0.2, 2\/31?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-11))\/(3 - (-408)\/(-132)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 747 is divided by 31.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -11 + 7*o**2 + 24 - 29*o - 2. Suppose 2*c = -w + 15 + 9, -5*c - w = -66. Is b(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*i = 1, -n - 3*n - 35 = i. Let m be (4\/(-8))\/(2\/n). Let z be 0 - m - (0 - -1169998). What is z rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 k, 1 y, and 1 z when four letters picked without replacement from kkkdkgyzd?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 53*x + 330. Let w be l(7). Let o be 22 - 15 - 8*w. Is o equal to -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 23*t**3\/2 - 2329*t. Let b(c) be the first derivative of -3*c**2\/2 + 1. Give n(b(w)).\nAnswer: -207*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*b + 140*t - 142*t, 3*b + 18 = -3*t. Solve 10 = 2*v - b*y, 3*v = 9*v + 4*y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by ((-2464)\/(-48))\/7 - 4\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**8\/10080 + m**7\/1260 - m**6\/540 + m**4\/6 + 7*m. Let h(r) be the third derivative of g(r). Find o, given that h(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52773095 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9340431371 to the power of 1\/8, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 439808\/483813 - -2\/43983. Factor 6\/11*x - z*x**2 + 4\/11.\nAnswer: -2*(x - 1)*(5*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.9076 + 143850.756?\nAnswer: 143946.6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of a**2\/2 - 21. Give j(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 30 = -5*v, -v - 4*p = 3*v - 24. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1185 - -305. Let x = 2850 - u. Suppose -z + x = 3*z. Round z to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/52 and -111\/280.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 p, and 2 f when four letters picked without replacement from uqpfukupppufupu?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 223211771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24937191, 49874386, 74811581?\n\"Answer: 24937195*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 3, -133?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 53861431 * -1\nAnswer: -53861431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10653)\/(-6) + -5 - (-14)\/(-28). Let d = u + -1766. Factor 3\/2*f**d + 9\/2*f - 9\/2*f**3 + 3\/2*f**2 - 3.\nAnswer: 3*(f - 2)*(f - 1)**2*(f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*d*h**3*t**2 + 3*d*h**2 - d*h*t**2 - 36*h**3*t**2 + 2*h**2*t**2 + 5*h*t**2 wrt d?\nAnswer: 18*h**3*t**2 + 3*h**2 - h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34917713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 1144?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 2873994?\nAnswer: 40235916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s**3 + 5*s**3 + 2*s**3)*(-2274 - 141*s + 2274).\nAnswer: -282*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6231546.8665 less than 16.4?\nAnswer: 6231563.2665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -198 = -6*d + 2*d - 3*l, -5*d + 238 = -l. Suppose -8 = 5*f - d. What is the greatest common divisor of 36 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -50*b - 8676. Give q(-173).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/43 + -139\/215. Let v = 10 + -8. Suppose 0*z = z - 2*k - v, 3*k + 10 = -2*z. What is the nearest to z in h, 2\/23, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -310 + 424220?\nAnswer: 423410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 758771317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/60 + k**5\/12 + k**3\/3 - 663*k**2. Suppose 3*s = -5 + 26. Let p(t) = 4*t**3 + 11*t**2 + 5. Give s*d(g) - 3*p(g).\nAnswer: 2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 20. Let n be l(-20). Suppose 2*v = q + 4 - n, -4 = -2*v + 5*q. Suppose 0 = 3*i - z, -3*i - 3*z + v*z = 0. Solve -2*h = -i*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -9*h**3 - h**2 - 3*h + 19. Let n(q) = -5*q**3 - 2*q + 10. Let p(u) = 4*g(u) - 7*n(u). What is the units digit of p(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -4*m - 5. Suppose 3*f - 4*f + 3 = 0. Solve 3*w + f*d - m = 0, -3*w + 3*d - 12 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 3. Suppose 4*j - 4*q - 45 = 15, -x*j + 55 = 5*q. List the prime factors of j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24445, 49553, 74649, 99727, 124781, 149805, 174793?\nAnswer: 199739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13865.8963+0.5\nAnswer: 13866.3963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79626 is divided by 209.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -12*d + 168. Calculate the remainder when d is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - -2.01. Let g = 2.1 - l. Let p = 0.09999992 - g. Round p to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 172 + -172. Factor 4\/9*y**2 + a - 2\/9*y**3 - 2\/9*y.\nAnswer: -2*y*(y - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.5*-4071.\nAnswer: -6106.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 - 32*r - 314. Calculate j(40).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 16847*k**2 + 16844*k**2 - 2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 37966 and -3.7?\nAnswer: 37969.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*x**3 - 923531*x**2 - 552166344*x.\nAnswer: 120*x - 1847062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 1:08 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1201331130 (base 4) to base 9\nAnswer: -671356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4, 174, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 5*j**4\/24 - 16*j**2 + 7. Let s(y) = y - 1. Let h be s(3). Let v(q) = q**2 + q**2 - 4*q**h. Determine v(r(b)).\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11210302 + 122?\nAnswer: 11211030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -6. Let i = -9 - z. Let r = i + 2.977. Round r to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 * -1.2.\nAnswer: 7.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 30 = -4*q, 30 = -q - 2*q - 4*h. Let v = 10 + q. Let g = -0.4 - -0.8. What is the smallest value in g, v, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (18306\/(-54))\/((-2)\/2)?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-5)\/2))\/(42\/(-63))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -6*r**2 + 11*r - 5. Let x(g) = 5*g**2 - 9*g + 4. Let f(i) = -4*n(i) - 5*x(i). What is f(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2622780 to the power of 1\/3, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 6*m + 50*m - 13 - 3*m - 8*m.\nAnswer: 33*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from seshpvpv. Give prob of picking 1 h, 1 e, and 1 v.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/36 - 56\/48. Which is the smallest value? (a) 72 (b) -0.1 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31.23 - 32.23. Sort n, 3, -2\/49, 0 in decreasing order.\nAnswer: 3, 0, -2\/49, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 18*g - 3*g = 1493826. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let q(m) = -8*m. Let b(o) = 9*f(o) + 2*q(o). Let a(d) = 22*d**2. What is a(b(w))?\nAnswer: 88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 d when four letters picked without replacement from dddgdimddgdm?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/42, -1304, 1?\nAnswer: -1304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -328*i**6 - 1883*i**2 wrt i.\nAnswer: -39360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -20, -3, -126, -5, -6, -4 in descending order.\nAnswer: 11, -3, -4, -5, -6, -20, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 339, 4, -5, 5, -2, -3.\nAnswer: -5, -3, -2, 4, 5, 339","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16451904?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmmemmmmeewmmmm. Give prob of sequence mwmw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(8\/((-896)\/72) + 5\/10).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 14*g**2 - g + 16. Suppose 4*j - 59 = -3. Let s be n(j). Let u(t) = t**3 + 5*t + 5 - 2 - t + t - 7*t**s. What is u(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -5. Suppose g = 6*g - h*q - 20, 13 = 4*g - q. Suppose 3*d - r = 452, 3*d = -d + g*r + 606. Calculate the highest common factor of d and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 6. Let i(m) = -m**3 - m**2 + m + 2. Let q be -4*(9\/(-4) - -3). Let v be 2\/(-4*q\/(-6)). Let s(b) = b**3 - b**2 + b + 1. Give v*s(c) + z*i(c).\nAnswer: -2*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 6*s**5\/5 + 38*s**4\/5 + 74*s**3\/5 + 34*s**2\/5 - 32*s\/5 - 24\/5 = 0.\nAnswer: -3, -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5239979*s**3*z**2 - 5*s**3 - s**2*z**2 + s**2*z + 4348*s*z - 1316*z**2 wrt s.\nAnswer: -31439874*z**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one quarters of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 2*r - 4. Let p be h(0). Suppose 17 = -4*k + 5, -2*k = -3*a + 21. Suppose a*o - 15 = 2*o. Sort p, o, 1 in increasing order.\nAnswer: p, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -108.50105253 + 109.351053. Let l = n + -0.85. Round l to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2*x = 8. Is 2 a factor of (4\/x)\/(1\/(-14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 338957640 and 1400.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 963230 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17614450 is divided by 3522890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27761.84mm in meters?\nAnswer: 27.76184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 + 5*s + 6. Let u be n(6). Is u + 3 + 740\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.618229 + -0.6215. What is r rounded to four dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 59, 125, 211, 311, 419, 529?\nAnswer: 635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 81.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/(4*3\/(-60)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 - 2*s**2 - 2*s**2)*(2541*s + 2243162 - 2243162) in the form u*s**3 + y + c*s + m*s**2 and give u.\nAnswer: 2541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 139?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17380 and 357080.\nAnswer: 3927880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, l: 2, m: 2}. What is prob of sequence mfml?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 - 7*z**2 - z**2)*((-2 - 1 + 2)*(-2*z + 6*z**2 + 2*z) + 1 + z**2 - 1) + 4*z**4 - 2*z**4 + 0*z**4.\nAnswer: 52*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2063*v**2 + 277*v**3 + 2068*v**2 + 129*v**3 as p + t*v**2 + n*v + l*v**3 and give l.\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -15*t**2 - 33*t. Let s(a) = -5*a**2 - 11*a. Suppose 7 = -v + 4. Let y(w) = v*x(w) + 8*s(w). Find the second derivative of y(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3570*d. Let s(a) = 3288*a. What is s(c(x))?\nAnswer: -11738160*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**8)**(-11)\/(q**(3\/7)*q)**(-6) assuming q is positive.\nAnswer: q**(-556\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -43*w - 1125. What is k(-26)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 3*w - 3*w)*(-4 - 1 + 0) + 2 + w - 2 + 3*w - 6*w + w + (4*w + w - 6*w)*(-4 + 3 + 2) + 0*w - 4*w + 3*w.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3\/2 (b) 0.4 (c) 5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268 bigger than 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*d**3\/13 + 192136*d**2\/13 + 256200*d\/13 - 256192\/13 = 0. Calculate d.\nAnswer: -2, 2\/3, 32024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 1\/60*y**5 + 0*y + 2 + y**3 - 1\/24*y**4 + 0*y**2 + 1\/45*y**6. Let m(v) be the third derivative of n(v). Calculate m(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 113 + -78. Let z be 21\/g + 1 + -2. Which is the smallest value? (a) 3 (b) z (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 472*q + 3. Suppose 1 = 289*m - 288*m. Let k be g(m). Calculate the highest common divisor of k and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 + 5*o. Let m be z(-5). Suppose f + m*f = 0. Suppose w + 36 = 4*w. Solve -3*l + p = 4*p - 27, -2*l + 4*p - w = f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 432312.2 weeks to microseconds.\nAnswer: 261462418560000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -1\/18 (c) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 124 + -497\/4. What is the second biggest value in -0.8, v, -4?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79098?\nAnswer: 2, 3, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, -3690, 4 in descending order.\nAnswer: 4, -2, -7, -3690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41651, 41652, 41653?\nAnswer: 41654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31105603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44014450?\nAnswer: 2, 5, 19, 107, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 491 + -490. Suppose 8 = -2*n + 2*c, -2*n + 5*c - 21 = 2*n. What is the remainder when h is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12367.8 + 12368. Is 7831 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4369 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 40*h**2 + 40*h + 40. What is l(41)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a decade in months?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 408*w**2 + 1246*w - 5350. Calculate v(411).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4748087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123283 is divided by 1340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 s, and 1 l when three letters picked without replacement from klbpksy.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -47*p**3 + 3*p**2 - p - 1. What is x(1)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 17\/34*2\/2\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, y: 2, g: 7, f: 3}. What is prob of sequence yfn?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 6.\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (-10 - -6 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a**2 + 23*a - 1. Let g be r(11). Is -4262\/9 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*219.728\nAnswer: -87.8912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90 + 83. Suppose -4*d + 437 = z. Calculate the remainder when 130 is divided by d.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 0) + (4 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1243 (b) 2 (c) -22\/119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y**44)**(-36) assuming y is positive.\nAnswer: y**1512","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 363*d + 16868. Determine y(-300).\nAnswer: -2032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6075 divide 785218050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (50 - 80)*(-1)\/6. Find the second derivative of -13*d**3 + 6*d**3 - 20*d + 2*d + c*d**2 wrt d.\nAnswer: -42*d + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 7414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/((1 - 3)*4\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -105*u + 753. Let n(y) = -15*y + 108. Let s(m) = 4*l(m) - 27*n(m). Calculate s(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11727030 (base 8) to base 2.\nAnswer: 1001111010111000011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5\/4 - 605*w**4\/2 + 250381*w**3\/4 + 125795*w**2\/2 = 0 for w.\nAnswer: -1390, -1, 0, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*d = 17, -2*h + 3*d + 11 = 6*d. Suppose -2*z = -3*z - r + 64, h*z = -5*r + 254. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -48 (b) -2 (c) -54.46 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:34 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 - 142825*w**2 + 5100958952*w - 86675030672.\nAnswer: (w - 71404)**2*(w - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*p + 5 = 0. Let d be (14 + -66)\/(-4) + 5 + -15. Solve -3*b - 5 = d*z + 2*b, 10 = -2*z - p*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 7:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 5 + (7 - 8) + (-6 - -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 17073 + 4 + 2 + 1. Round k to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7844959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 115. Suppose u = 8*k - 17. Suppose -k*b = 3*b - 2244. What are the prime factors of b?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -5*m**3\/3 + 15. Let p(g) = 2*g. Determine y(p(x)).\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2284 + -2296. Sort 0, -2, m, 5, -8 in decreasing order.\nAnswer: 5, 0, -2, -8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(2) + -1*(sqrt(2) + -2)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -107*s - 34*s + 697 + 2123 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -113d2 + -2?\nAnswer: -113d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -130189791500?\nAnswer: 130189791499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/(-50))\/(-12))\/(4\/((-420)\/(-9))).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532574 is divided by 3804.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 100010110 (base 2) to base 15\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c**5\/5 - 118*c**4\/5 + 248*c**3\/5 - 206*c**2\/5 + 11*c + 4\/5 = 0. What is c?\nAnswer: -1\/17, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*h**3\/5 - 519*h**2\/5 + 486*h\/5 = 0. Calculate h.\nAnswer: 0, 1, 162\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9014 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20798 is divided by 38.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(441\/(-543)) - 25?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122 - -87.9. What is the second biggest value in 2, 0.1, 1\/4, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 17, j: 2}. Give prob of sequence zjzj.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-22)\/5 - 6\/(-15). Let w be 0 - ((-7)\/y + -2). Let h be 6\/9 + (-51)\/9. What is the nearest to 2 in 0, w, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142818 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-2\/3)*u))**(-28)\/(u*u\/u**(-1)*u*u\/(u\/u**(-1\/6)))*((u*u**(-2\/9)*u*u)\/u*u**(-2\/11)\/u)\/(u\/(((u\/(u**(1\/4)\/u))\/u)\/u)*u)**35 assuming u is positive.\nAnswer: u**(-39859\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 2*h - 2016 = 0. Let c = h - -237. Solve 4*k - 1 = -c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of d**5\/60 + 7*d**4\/12 + 49*d**3\/6 - 22*d**2. Solve s(z) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 3\/8 (b) 15 (c) -0.1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*k**3 + 16875\/2 + 903\/8*k**2 + 8550*k.\nAnswer: 3*(k + 1)*(k + 150)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, l: 2}. What is prob of sequence llq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128*y + 96 = 140*y. Solve -j - 6 = -w, 18*w - j = 16*w + y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104871385 is divided by 11209?\nAnswer: 11190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2020296772.\nAnswer: 2, 13, 38851861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 460322*w - 230211*w - 230184*w.\nAnswer: -73*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -1\/4, -1\/5, 0.12, 94 in increasing order.\nAnswer: -3\/2, -1\/4, -1\/5, 0.12, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x - x)*(-23*x + x - 62*x).\nAnswer: -84*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 6146.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10\/541 + 2725\/1082. Factor 5\/2*u**3 - 5\/2*u**5 + 0*u + b*u**2 + 0 - 5\/2*u**4.\nAnswer: -5*u**2*(u - 1)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -4*w + 12, -3*l = -5*l + w + 2. Let v be (-2 + l)*2\/(-4). Is 29 - ((2 - v) + -1) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/150 + 11968\/660\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25323 and 897.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 7 = -x. Solve -c + x = c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from {m: 2, l: 7, s: 2, u: 3, v: 3, x: 1}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z**2 - 8*z**2 + 13 + 6*z**2)*(-15*z + 4*z + 2*z) to j*z**3 + u + i*z + w*z**2 and give i.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l - 104 + 3419 = 0. Suppose 2*g = 2*d - 7 + 85, 3*d - l = -5*g. Is 29 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*k**5 + 3*k**4 - 8*k**3 - 3*k**2 + 204*k - 3 wrt k.\nAnswer: -1980*k**2 + 72*k - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 5*n + 11, 2 + 2 = -4*r - 4*n. Let q be ((-1)\/(-2))\/((-2)\/(-36)). Suppose 0 = -q*m + 4*m - 5, -r*m = -g. Is g equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 10 - (-13 + (4 - 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -255*(3*384\/290 - (49 - 45)). Which is smaller: k or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 - p**3 - 3*p**2 + 3*p**3 + p + 6*p**2 as j*p + n*p**3 + t*p**2 + o and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -5.6, -3, 0, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2725, -2068, -1457, -898, -397, 40, 407?\n\"Answer: -a**3 - 17*a**2 + 715*a - 3422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*i = 79*i + 1496. Solve -11*r = -0 + i for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 36\/10 + (-2 - (4 + -2)). Let m = -1 + -6. What is the smallest value in 0.4, n, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -33*f**2\/2 - 7. What are the prime factors of w(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 5*t**2 + 7*t - 7. Suppose 4*d + 2*a + 2*a = 28, 0 = a - 4. What is the remainder when 43 is divided by x(d)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccb when three letters picked without replacement from nkqckzcnncqbcz?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + z - 2, 0*v - 5*v - z = -14. What is the least common multiple of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 922012?\nAnswer: 2, 7, 13, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13231223231?\nAnswer: 13231223221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 738 + -123. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2053 at least -2083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:29 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 + (-4 - (-6 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317272117 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 84451472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 157 + -156.94. Let q = -0.36080892 + 0.30081. Let k = x + q. What is k rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 512 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 14*p**2 + 15*p - 17. Give c(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21504 and 3024.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1243 is divided by 107?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8552 divided by -1069\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 2, 1, -3, -5 in decreasing order.\nAnswer: 20, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 + -3 + -514 - 0. Let g = 1154 + l. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62975320 divided by 40\nAnswer: 1574383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 9. Suppose -5*n - 4*z - 30 = 32, 4*n = a*z - 25. Let k be 13\/5 - 4\/n. Calculate the highest common factor of k and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7270660 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 3154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**5\/40 + 11*w**4\/8 + 133*w**3\/6 + 132*w**2 - 2*w + 4382. Factor n(g).\nAnswer: (g + 3)*(g + 8)*(g + 22)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10800182 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11614880, 11614919, 11614994, 11615111, 11615276?\nAnswer: 11615495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -3*a**2. Let j(b) = -5*b**2 - 5*b + 6. Let t(z) = z**2 - 1. Let c(v) = j(v) + 4*t(v). Let s be c(-5). Let i(y) = -5*y + 4*y + s*y. What is i(n(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*f)*(4*f - f - f) + (-26*f + 14*f + 0*f)*(4*f - 3*f - 11*f) to d*f + r*f**2 + b and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -0.02499.\nAnswer: -0.0012495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21718 - -21722. Let u(t) be the second derivative of -49*t**2 - 1\/24*t**h - 3*t + 7\/3*t**3 + 0. Factor u(w).\nAnswer: -(w - 14)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 8:05 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-1*3 - sqrt(45))\/(sqrt(9) - 1*sqrt(1296)).\nAnswer: 4*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**1\/(u**(-7\/3)\/u) assuming u is positive.\nAnswer: u**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.697234ug in milligrams?\nAnswer: 0.009697234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 15 = -5*r, 3*m + 0*r + 2*r - 11 = 0. Put m, 2, -0.06, -5\/2 in increasing order.\nAnswer: -5\/2, -0.06, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 5089*s**4\/2 + 14998723*s**3\/2 - 73119027*s**2 - 21296294*s + 59140 = 0.\nAnswer: -2957, -2\/7, 2\/727, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ddqqqqyyyydyyyyyadya?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(108))\/sqrt(3))\/(sqrt(192)*3*-6).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1272\/(-48) + -14)*(-14)\/(-210)*20.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 12, z: 1, y: 1}. What is prob of picking 1 z and 1 h?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g\/g**(-18)*g**(-9\/7)*(g*(g\/(g\/g**(1\/23)))\/g*g)\/g**(-29) assuming g is positive.\nAnswer: g**(7689\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-5*(-126)\/(-70)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3704323?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(76)*-4*-5)\/((sqrt(64) - -4*sqrt(64)*-2) + (sqrt(64) - sqrt(64)*-2*5 - sqrt(64))))**2.\nAnswer: 30400\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -11*k + 327. Give w(29).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21672 and 10152?\nAnswer: 3055752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -7. Let n(t) = 4*t + 3 - 3*t - 3. Let k(o) = -o. Let j(p) = r*n(p) + 5*k(p). Let u(d) = -6*d**2. What is u(j(m))?\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of r**4\/20 + 8*r**3\/15 + 3*r**2\/2 - 229. Factor p(o).\nAnswer: o*(o + 3)*(o + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -29?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 129*n + 4376. Determine x(28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-35)\/(-10))\/((-1)\/(-10)). Let d(i) = i**3 - 2*i + 16. Let u be d(0). Suppose 3*v - u - g = 0. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 40\/6723 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 442728\/(-6732) + 24\/(-102)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-3)\/(-12))\/((-1)\/(-116)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79076359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -21a9?\nAnswer: -21a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2124 and 17\/1350.\nAnswer: 159300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 141324091?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 381*h**3 - 5*h**2 - 10*h + 5. Let k(w) = -50102*w**3 + 658*w**2 + 1316*w - 658. Calculate -5*k(z) - 658*y(z).\nAnswer: -188*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110202231 - -130221?\nAnswer: -110012010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/(-4)*21\/(189\/6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -5\/659?\nAnswer: -5\/659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + 1 - 1*(2 + -2). Let w(v) = 2*v**2 - 9*v + 5. Calculate the remainder when w(j) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*g = 66, 5*g - g = -3*j + 66. Suppose -34*p + 209*p = 3150. Suppose 512 = -p*c + j*c. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16720?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 12*g**3 - 210*g**2 - 142*g + 619. Give r(18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -6176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*m - 4, -t + 4*m - 8 = 2*t. Suppose 3*q - 18 - 9 = 0. Suppose a + 72 = q*a. Solve p - r + a - 2 = t, -p - 11 = -3*r for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m = 57*m + 3*s + 37521, 0 = 5*m - s - 62519. What are the prime factors of m?\nAnswer: 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -182, -292, -410, -536, -670?\nAnswer: -812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 107995 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1100*i - 1099*i + 2*i**2 + 2199*i.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = 5*g, 2*w - 1 = 3*g - 6. Suppose c = 2 + 6. Suppose -3*m - 7 = c. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 6*r**3 + 8*r**2 + 5*r - 8. Let m(o) = o**3 + o**2 - 1. Let s(h) = d(h) - 3*m(h). Let t be s(-5). Let c = t + 867. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10517055 and 193513812.\nAnswer: 967569060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -111*g**2 - 4439*g + 34. Give k(-40).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -31. Let n be ((-6)\/t)\/((-2)\/(-15)). Let q be (-1 - -191) + (n - 5). Calculate the highest common factor of q and 76.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10184, -9154, -8124, -7094, -6064, -5034?\nAnswer: -4004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-154))\/((-12)\/42). What is the nearest to -0.1 in g, 0.3, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**4\/8 - n**3\/6 - n**2\/2 + 1. Let b(c) be the second derivative of y(c). Differentiate b(s) with respect to s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/g**4*g)*g)*g\/(g**(-4)*g))**(13\/3) assuming g is positive.\nAnswer: g**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32140829*x - 32140902*x - 1533 = 0 for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.159816 and -0.1.\nAnswer: -0.1159816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441*a - 89*a - 18020 = 0 for a.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -97485.704 rounded to the nearest 1000?\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m + 0*m + 4*m + 3*m - 2*m - 3*m + (-3 + 2 - 1)*(-m + 2*m + m) - 2 + 3*m + m + 1.\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 12. Let k be 0\/(3\/o*2\/3). What is the second derivative of 6*u - 191*u**5 + 195*u**5 + k*u wrt u?\nAnswer: 80*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1 + 1.7. Let u = v - 5.8. Which is the closest to 1? (a) 3 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1786 and 752?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Let v be a\/(5\/(-3)) + 3. Suppose -2*t + 235 + 643 = v. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 3*o + 23 = 0, -93*d + 44*d + 5*o + 22 = -54*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -14. Let f(s) = -s**3 - 12*s**2 - 12*s - 6. Let x be f(-11). Suppose x*l + 2 = 82. What is the lowest common multiple of g and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 18 - 11 - 31 - 21 + 11.\nAnswer: -3*o - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**4\/24 - o**3 + o**2. Let p(n) be the first derivative of -n - 9. Calculate -i(x) + 6*p(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6128090 is divided by 1225618.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 213*d - 5230. Does 9 divide q(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 12*u**5 + 279*u**4 + 2193*u**3 + 6687*u**2 + 7371*u + 1458 = 0.\nAnswer: -9, -3, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 0.2, -6036 in ascending order.\nAnswer: -6036, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83*y**2 + 77*y**2 + 159*y**2 - 326*y**2.\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37844 and 4?\nAnswer: 37844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 b when four letters picked without replacement from {q: 7, l: 3, e: 2, b: 5}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 d, and 2 z when four letters picked without replacement from yczhzzdz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 18 + 15 = 0, 0 = 3*v + 3*c - 132. Solve -36*i + 15 = -v*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 100 - -63?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*g - 82 - 78, -g = r - 41. Suppose -4*i - 5*n + r = 0, -4*i + 0*n + 48 = -4*n. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501823 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {i: 1, e: 2, t: 1, o: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**3\/3 - 9*n**2 - n - 8. Determine t(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*w + 3*c, 3*c - 1 - 4 = w. Suppose -8*r + 9*r + 1 = 0. Let s = r - -9. Solve s = w*u - 0*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - 25 - 23 - (0 - -3) - 39?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139666 is divided by 226.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 1001100100111011111?\nAnswer: 1001100100111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/4)\/l)**3)**15*((l\/(l**5*l))\/(l\/(l\/(l**(-2\/9)\/l))))**15 assuming l is positive.\nAnswer: l**(-815\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxy when three letters picked without replacement from vxyxx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 18365696?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 29. What is the remainder when u is divided by 396\/24 + 3\/(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 150.4182 micrograms?\nAnswer: 0.0000001504182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*n + 3*n = -1700125 + 4745896. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1929, 2807, 3685?\n\"Answer: 878*u + 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - m + m)*(4*m - 6 + 6) - 6*m**3 + 19*m + 71 - 71.\nAnswer: 2*m**3 + 19*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 87 and -13431.\nAnswer: -13344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120200112 (base 3) in base 15?\nAnswer: 35c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 13*c**2 - 29*c + 21. Let j be (-18)\/(-1*3*26\/39). What is the units digit of d(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 9880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001 + 222120?\nAnswer: 221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460969937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 10474, 0.4.\nAnswer: 0.4, 27, 10474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*3 + (-122 - -127). Solve -42 = 6*i - h*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119.4 - 119.3. What is the nearest to x in 0, 5, 18, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000255 (base 6) to base 8\nAnswer: 133253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -7*a - 135. Determine z(0).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 13) + 0\/(-2). Let y(v) = 2*v + 50. Let g be y(-13). Let q = f + g. What is the remainder when 23 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*t - 3*y, -11*t + 13*t - 13 = 3*y. Suppose 0 = g + t - 92. Calculate the remainder when g is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.3 and 40.94551?\nAnswer: 43.24551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -z + 5*i, 0 = i + 3. Suppose 3*t - z*t = 4. Suppose -t*j - 14 + 1 = 5*y, 0 = -3*j - 6. Put y, 5, 1 in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k**3 + 31*k**2 - 22*k - 4. Let x be q(-11). Let g(m) be the third derivative of -m**4\/6 - m**3\/6 + 4*m**2. Let t(l) = 3*l. What is x*g(s) - 5*t(s)?\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8297*k**3*z**3 + 29*k**3*z**2 - 59*k**2*z**4 - 25*k**2*z + 4*k*z**2 - 3*z**2 wrt z.\nAnswer: -49782*k**3 - 1416*k**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 + 5*a**2 + 369 - 2*a - 6*a**2)*(2 - 2 + 2*a + (-2 - 3 + 3)*(3*a - 5*a + 3*a) - 3*a + 2*a + 0*a).\nAnswer: a**3 + 2*a**2 - 251*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a meter in millimeters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/11 - 112789332*p\/11 - 1590179176625778\/11.\nAnswer: -2*(p + 28197333)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4561 + -4556. Let a(x) be the third derivative of 6*x**2 + 1\/4*x**4 + 0*x - 1\/80*x**u - 2*x**3 + 0. Factor a(l).\nAnswer: -3*(l - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b - 2*b)*(-8 + 4 - 2) - b + b + b + b - 4*b + 2*b + (-2*b - 3*b + 6*b)*(-4 + 0 + 3) + 2 - 2 - 2*b + 3 - 3 + 2*b - 3*b + 4*b - 2*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57 and 2337?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axaxjxxabxxgbxaa. Give prob of sequence ax.\nAnswer: 7\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 10539 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9193\/4218 + 29\/19. Find the common denominator of 139\/30 and g.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*s**5 + 5*s**3 + 2*s + 354?\nAnswer: -220*s**3 + 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346 by -124806.\nAnswer: 173\/62403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 41*w - 374. Calculate y(-31).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 986494947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 477 and 106.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207269089 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 + -2.165. Does 2\/5 = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -413*p**2 + 413*p**2 - 3651*p**3.\nAnswer: -3651*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-15)*85\/(-34)*24\/80.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h - 9. Suppose -d - 15 = -6*d. Suppose 2*w = d*w - 10. What is the tens digit of p(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.531 - 0.079. Let i = 0.21 + n. Let q be 14\/12*3\/21. Which is the third biggest value? (a) -4\/11 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4278365277 to the power of 1\/3, to the nearest integer?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 - (15 + -46 + 4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -473 - -775. Let b = o - 55. What are the prime factors of b?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*x - 250*x = -118*x - 290 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 716.34 and -23581028?\nAnswer: 23581744.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Let q = -65837\/3 + 21945. Which is the fourth smallest value? (a) 5 (b) -5 (c) q (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*h**3*p*u - 10*h**3*p - h*p**2 - 12738*h*p - 11*p**2*u - 2*p**2 - 316638*p*u wrt u.\nAnswer: -2*h**3*p - 11*p**2 - 316638*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/19530 and 57\/70?\nAnswer: 19530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -664*i = -662*i - 37320. What is the ten thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8514603 and 133?\nAnswer: 59602221","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.7 - 23.3. Let b = q + 19. Let l = 0.399795 - b. What is l rounded to five dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/2)*i*i)\/(i**5\/i))**(-6) assuming i is positive.\nAnswer: i**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*p + 1613 - 458 = -63*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 654 is divided by 319.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*d - 2, 5*d = 5*t + 55. Let l be t\/(-5) + (-3)\/(-3). Suppose l*n = 5*w - 126 - 24, -2*w + 5*n = -41. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2043 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2792c6 (base 14) to base 12\nAnswer: 56087a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 450140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53941061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8203*z - 160212 = -25850 + 67773 + 437699 for z.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4829)\/35 + 6\/15. Let c = b + 138. What is the third biggest value in 3\/8, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - 3*b + 3*b - 4*b + 5*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.94. What is the closest to -0.1 in 0.3, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-39)\/(-26))\/((-3984)\/32).\nAnswer: -1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/60 + h**4\/6 - h**3\/6 + 2*h**2. What are the prime factors of q(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/5 - 4*n\/5 - 12\/5.\nAnswer: (n - 6)*(n + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59\/70 + 9\/14. Let s be (-624360)\/(-2002) - (-4)\/14. Let k = s + -312. What is the second smallest value in k, 3, f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11314577 and 2524.\nAnswer: -11312053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -182, 756, 3, -4 in decreasing order.\nAnswer: 756, 3, -3, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 1 - 5. Let i(f) = -4*f + 1. What is i(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 40 = -3*k. Suppose -2*v = -4*p + 22, k*v + 37 = -0*p + 4*p. Suppose -n - 16 = -5*d, 2*d + 7*n = 2*n + 1. Sort v, 1, d in decreasing order.\nAnswer: d, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - f)*(2*f - 2*f + 2*f) + (0 + 1 - 2)*(-7*f**2 - 25*f**2 - 4*f**2).\nAnswer: 32*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 15264, -1, -1380.\nAnswer: -1380, -1, 0.3, 15264","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**7\/210 + c**6\/60 - c**5\/15 - c**4\/12 + c**3\/2 - 6*c**2 + 2. Solve b(v) = 0 for v.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0443 to 3 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 r when two letters picked without replacement from srsrrrssrr?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*d + t - 33, -4*t = -2*d + 18. What is the remainder when 27 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(272)*1)\/sqrt(8) - sqrt(34)) + sqrt(34))\/sqrt(2).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102863 is divided by 455?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*r = -8 - 8, 3*d - 20 = -2*r. Let i(o) = o**2 - 2*o - 2. Let p be i(d). Suppose 3*y - 7 = 2*b - b, 2*y = 4*b + 8. Solve -y = q - p for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240969 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 760\/56544*4*(-2)\/5?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4046048 to two decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 18 + m**2 - 3*m**2 - 5 + m**3 - 8 - 6*m. Let b be x(4). Suppose 6 = -b*l + 6. Solve l*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z - 6*z**2 + 2 + 4 + z**3 + 0. Let l be 0 + 2 + (-6)\/4*-2. Let d be k(l). Sort 2, d, -3 in descending order.\nAnswer: 2, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i + 319. Let f(a) = -5*a - 299. Determine -7*f(d) - 6*l(d).\nAnswer: -d + 179","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 5 - (-7 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*t + 9*t - 4*t to the form g*t + j and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/293 (b) -63 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.51 - -9.6. Let l = -28.50955 - -28.42. Let j = l + q. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1832959790?\nAnswer: 2, 5, 29, 6320551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -9*d**3 - 7*d**2 + 13*d + 7. Let m = 201 - 198. Let g(c) = 4*c**3 + 3*c**2 - 6*c - 3. Calculate m*z(k) + 7*g(k).\nAnswer: k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 13. Suppose -3*q - w*i = -246, -2*i = 5*q - 264 - 143. Let m be ((-27)\/(-12))\/(1\/4). What is the highest common divisor of q and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13455272.\nAnswer: 2, 37, 131, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45, 26, -17, -96, -223, -410?\n\"Answer: -2*j**3 - 5*j + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.78 - -0.54. Let m = d + -2.31999993. What is m rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2560 + -2554. Solve 3\/5*d**2 - l + 27\/5*d = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 3, e: 1, k: 2}. Give prob of sequence exk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 - 14989*c**2 + 0 + 15018*c**2 - 2*c**3 in the form q*c**3 + d + w*c + t*c**2 and give t.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r - 14. Let s be p(-15). Let o(w) = -26*w**2 - 2*w - 4. Let i(l) = l**2 + 1. Let q(f) = -5*i(f) - o(f). Is 11 a factor of q(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(12\/5)\/(h\/h**(-4\/3)*h) assuming h is positive.\nAnswer: h**(-14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18034*y - 18054*y = 702760000. Round y to the nearest 100000.\nAnswer: -35100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + c + 14 = 0, 0*z = 4*z - 4*c - 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*t*w**3 - 578*t*w**2 - 2*t*w - 15*t - 3*w**3 - 1163620*w - 1 wrt t?\nAnswer: 3*w**3 - 578*w**2 - 2*w - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 2*u + 3. Suppose -4*p + 20 = 5*c - 2, -2*p + 6 = 0. Calculate k(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/3, 4, -0.2, -69?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76 (base 16) to base 6.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*x + 102 - 12 = 0, -3*x - 2*x - 29 = -10*h + 156 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16588566.\nAnswer: 2, 3, 17, 23, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifteen quarters of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -27*k**2. Let v(x) = -510023*x**2. What is u(v(y))?\nAnswer: -7023333434283*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*x - 2*z, -5*x - 3*z + 93 - 88 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5217, 3652, -599, -8880, -22535, -42908?\nAnswer: -71343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 20, -2*y - y + 4 = 2*p. Let d = -1937\/2 + 935. What is the common denominator of (14\/(-21))\/(y\/14) and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3*g - 17650 = -3*w, -2*w + 7079 = 5*g. Let v = w + -119965\/34. Find the common denominator of 127\/18 and v.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16197560?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 508 and 70902322.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425401544?\nAnswer: 2, 53175193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142777 is divided by 15855?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zyyjzd. Give prob of picking 1 j and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 + 7*t + 1. Let m be (-2 + -2)*(-14)\/8. Let b(p) = -m*p + 1 - 3*p + 6*p. Let v be b(2). Give s(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/1052 and -61\/35768.\nAnswer: 35768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 31 = -3*v, -2*v + 3 = 21 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 7, 2, 96 in decreasing order.\nAnswer: 96, 7, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-133)\/42 + 4 + -1. Which is the nearest to 1? (a) 2\/31 (b) z (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b**3*v**3 + 653*b**3 - 1213*v**3 with respect to v.\nAnswer: -27*b**3*v**2 - 3639*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3614\/286 + (-324)\/198.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 11*w**2 - 162*w - 782. Give h(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80) - (sqrt(980) + (sqrt(980) + (sqrt(980) - 2*sqrt(980)) - sqrt(980) - sqrt(980)) + sqrt(980)))\/(sqrt(40) + 2*sqrt(40)*4).\nAnswer: 2*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15057\/4 + -3764. Let i(f) = f**2 - 5*f + 1. Let v be i(4). Let p be (-4 - v)\/((-1)\/(-3)). Do p and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-8))\/(1\/(-18))*356\/534.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**2*t*t**(-5))\/(t*t*(t*t**13\/t)\/t*t\/(t*t*t*t**11*t)*t*t))**(35\/3) assuming t is positive.\nAnswer: t**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-422 - 10)\/(-12) - (1 - 4). Calculate the greatest common divisor of o and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 11, 0, -7.9, 1, -0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3757 + 12*f + 0*f**2 - f**2 + 3737.\nAnswer: -(f - 10)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -7 + 9 + -28)\/(8 - 6)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-12) - (-2)\/(-8). Let r be 0\/(-2)*2\/4. Suppose r = 5*j - 5. Which is greater: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 25*v + 21 = 0. Suppose v = 5*y + 22. What are the prime factors of 10\/10*110\/(-3)*y?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52363225 + 2?\nAnswer: -52363223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(9\/5)*y\/(y\/y**(-8))*y)**(-2\/3)\/((y**(-1)\/(y\/((y*y*y**(-1)*y)\/y)))\/((y**(4\/7)\/y)\/(y*y**(-2\/7)))) assuming y is positive.\nAnswer: y**(349\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-5 + 2 + 7) - (-49)\/7\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -4*q - 7*b + 10, -5*q + 30 = -5*b. Suppose x = q*x - 6. Suppose 4*i = c + 730, -x*i + 181 = -i - c. What are the prime factors of i?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 15 = -3*m + 4*o, 5*o - 15 = 0. Let p be (-2)\/4*m*5. Suppose 7 = 4*h - p. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*a + 44395754 = 122*a + 14418205. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-547 - 578 + 10732*g + 1125)*(g - 2*g**2 - g) to the form q*g**3 + c*g**2 + j + f*g and give q.\nAnswer: -21464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**8\/168 - h**5\/15 + 3*h**2\/2 - 4. Let l(y) be the second derivative of v(y). Find the third derivative of l(u) wrt u.\nAnswer: 120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3945.\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -428, -435, -442?\n\"Answer: -7*b - 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + g - 257 = 129, -5*l - 5*g - 1980 = 0. Let t be (l + 22)\/((-6)\/8). Suppose 18*h - t = 24*h. Round h to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 divided by -367?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 + -2 - (-1 - -6)\/1) + -3.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -21*q - 2742. Calculate t(-131).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41800 = 42*i - 31*i. List the prime factors of i.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 30374 and -7?\nAnswer: 30381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*j + 2, -6 - 5 = -3*j - 2*o. Let f(l) = -l**3 - 4*l**2 + 7*l + 6. Let h be f(-5). Sort j, h, 1 in descending order.\nAnswer: j, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 4*o)*(2*o - 2*o + 2*o) - 3*o**2 - 2*o**2 + 3*o**2.\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 485217\/187460 + -363\/140. Let h = -71\/314665 - x. Is 0 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -2*j**2 + 0*j - 1\/60*j**6 + 0*j**3 + 1\/20*j**5 + 0*j**4 + 0. What is the third derivative of k(g) wrt g?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-275)\/(-176))\/5*(-24)\/(-20)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 3*v**2\/2 + 118*v - 189. What is the remainder when 78 is divided by z(-28)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31008, 31013, 31020, 31029, 31040?\nAnswer: 31053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-6)*(-3)\/(-2). Suppose -5*x - 31 = 3*p, -3*x - 4*p - 7 = -8*p. Is x >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/200 and -119\/200.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3.535*-126\nAnswer: 445.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -17. Let o(g) = -g - 4. Let n be o(j). Suppose -2*f = a - 10, 0 = -4*a - 2*f + 6*f - 8. Solve a - n = 5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from whhhhyhhhyhhw?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 347782.\nAnswer: 3477820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42860*z**2 - 59*z - 36 wrt z.\nAnswer: 85720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170.48 - -299.46. What is i rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111101010 + -10?\nAnswer: -111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 173373 - 346717 - 31*c + 173361 in the form m*c + p and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nessonueg. What is prob of sequence su?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236, -221, -188, -131, -44, 79?\n\"Answer: t**3 + 3*t**2 - t - 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 7. Let l(k) = 5*k**3 + 5*k**2 - 10*k - 1. Let u(p) = -6*p**3 - 7*p**2 + 11*p + 2. Let n = 196 - 200. Let d(b) = n*u(b) - 5*l(b). What is d(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/5 - 0)*70\/(-28). Let h be (20\/(-6))\/(((-40)\/435)\/t). Let p be h\/7 + 18\/63. What is the greatest common divisor of p and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/4, -91\/276, -2 in increasing order.\nAnswer: -2, -91\/276, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**50*((((a*a*a**(-7\/6))\/a)\/a)\/a)\/(a**(-34)*a))**(-40\/9) assuming a is positive.\nAnswer: a**(-9700\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.34 - -0.04. Let o = 2.4 - 2.2. What is the third biggest value in o, g, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 29\/3, -3, 12, -94, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 96\/60*(-5)\/(-2). Suppose m - g*r - 48 = 23, -r + 61 = m. What are the prime factors of m?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6452 divided by -1\nAnswer: -6452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 322 = 2*l, -14*l + 141 = -x - 8*l. Which is greater: x or -175?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 94498*h - 377945. Determine l(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/7 - 4\/((-8)\/(-6)). Solve s + v + p*v - 3 = 0, -3*v + 17 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3379508950235 - 0.09?\nAnswer: 3379508950234.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 5*d**3 + 8*d**2 - 19 - 9*d**4 + 6*d**2 + 10 - 13*d**3. Let n(p) = -17*p**4 - 14*p**3 + 27*p**2 - 17. Let a(u) = 4*n(u) - 7*q(u). Solve a(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/10*(-2 + (3 - 6)). Let s be ((-4)\/10)\/(2\/(-10)). Let z = g - s. Does z = 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -830633*a**4 + 33*a**2 - 148*a - 13 wrt a?\nAnswer: -19935192*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(80)\/sqrt(4))\/sqrt(10).\nAnswer: 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/5 + 1130*c + 1596125 = 0. Calculate c.\nAnswer: -2825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 508505\/2765136 - 120\/5237. Find the common denominator of -25\/528 and w.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaqa when four letters picked without replacement from aaaaqvqqaqaqqqvaaq?\nAnswer: 28\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - sqrt(176))**2*-3 + -5 + 1*sqrt(11).\nAnswer: -302 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 2690.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4650 divided by 50.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = q + 2. Let d = q - 4. Let v = -858 - -45472\/53. Do d and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 347.51 + -345. Let o = y + 8.39. Let a = -10.6 + o. What is the nearest to a in -4, 3\/4, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1146*q - 12. Let h be s(11). Suppose b + 5*i - h = -2*b, -3*i = -b + 4212. Suppose -837 = -u + 2*r, u - 4*r = -4*u + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 5*i + 1 = 0, -o + 1 = -3*i. Find the first derivative of 2*t**o - 6*t**4 + 1 - 5 wrt t.\nAnswer: -16*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 1 + 11. Suppose 0*p - 12 = -n*p. Suppose -2*c - 2*g + p + 3 = 0, -2*g - 8 = -5*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c + 123. Let r(j) = -31. Give 2*d(q) + 9*r(q).\nAnswer: 2*q - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 190 by -5.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g - 310. Calculate the remainder when 55 is divided by z(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 3. Let h = -0.262 - -3.262. Which is the closest to 1? (a) t (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 352 = -3*n, 5*n + l - 224 - 360 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-356 + 633 - 377 + (0 - 5 + 3)*(-1 - 2 + 1))*(-6*f**4 + 3*f**4 + 2*f**4) in the form v + s*f**2 + d*f + c*f**4 + t*f**3 and give c.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -46287, -46290, -46293?\n\"Answer: -3*f - 46284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*c - 61924 = 15701. What is the greatest common divisor of c and 1600?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1121670360?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.987 + -10.377. What is u rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 to the power of 1\/2, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d. Let n be (21 - 11) + (1 - 2)*5. Solve d*c - c = n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -299.064 + 0.064. Does 0 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005570758 rounded to three decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.04 (b) -49 (c) 4 (d) 3 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 a factor of 54065376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**3*r - 58135*l**3 - 34*l**2*r + 4*l**2 + 3703818*l*r - 10*l wrt l?\nAnswer: -12*l*r - 348810*l - 68*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 12*q**2 - q - 14. Let v be w(-12). Let a = -3 + v. Let d be (-16*7\/42)\/((-4)\/(-6)). Are d and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 52*l**2 - 74*l - 679. What is z(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1140 - 250*h**3 + h - 364*h**3 - 204*h**3 - h with respect to h.\nAnswer: -2454*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -57*a + 342. Let z be q(0). Let w = z + -337. Sort -5, w, 3, 51 in descending order.\nAnswer: 51, w, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/7 (b) 7 (c) -0.1 (d) -2 (e) -438\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, h: 2, a: 4}. Give prob of sequence ahaa.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -0.1542?\nAnswer: -0.35466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 214\/9 in -2\/5, 4, -0.3, -52, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7*2*1\/2. Let t(c) be the third derivative of c**6\/120 - 7*c**5\/60 + c**4\/12 + 4*c**3\/3 + 9*c**2. Is t(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 408? (a) 2\/3 (b) 0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/119)\/((-260)\/(-6630))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (-9 - (-15 + -8))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1424854*s**3 - 18*s**2 + 577558462?\nAnswer: 4274562*s**2 - 36*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4027.396mm?\nAnswer: 4027396000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0 + 15. Let u(v) = -2*v**2 - 31*v - 17. Let w be u(i). Let p be 2 - (w\/(-7) + 2256\/(-56)). What is the highest common divisor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 3 + 9*h - 7 - h**2 + 1. Let j be f(8). Suppose 5*d - j*u - 300 = 0, 4*d - 303 = -d + 4*u. What is the greatest common divisor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 0.01 (c) 32 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1019563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -597 + 601.11. Let b = 0.11 - t. Suppose r = -3*v - 0*v + 4, 2*v = -4*r + 6. Sort -2\/19, v, -1, b in descending order.\nAnswer: v, -2\/19, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -131*z - 1941. Determine f(-15).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from qjpjkkkpjkq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/3*(-2 - -2). Let d be (16\/(-2))\/(-2 - z). Let c = d - 2. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 11) to base 14.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 240.7151km?\nAnswer: 240715.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7075 = -3*s, -5*s + 1045 = w - 2512. Let c = 20823 - w. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 588*y**4 - 1492288*y**3 - 142304*y**2 + 446720*y - 81216 = 0.\nAnswer: -2\/3, 2\/7, 2538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*q**2 - 75*q**2 + 237*q**2 - 84*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*k - 36 = -5*m, 2*m = 2*k + 4. Let w = -4 + m. Suppose 3*l = -w*n + 98 - 0, 33 = l + n. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.048953 + -0.049. Round c to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.443 rounded to 1 dp?\nAnswer: -13.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + a + 12 = -3*q, 5*a + 17 = 2*q. Let u be -3*3\/q*(-32)\/6. Calculate the greatest common factor of 9 and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 115632497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -17 and 3.89.\nAnswer: -13.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 35687749897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + 0*l + 2*l)*(20*l**2 + 154 - 154)*(-1 + 0 + 0)*(1 - 2 - 1).\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a - 1. Determine v(13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*183\/61?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 11*k**2 - 11*k**4 + (-k**2 - 2 + 2)*(k - 3*k**2 - k) to the form v + c*k**3 + t*k + g*k**2 + r*k**4 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -306771 and 723586.\nAnswer: 416815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w - 3. Let s = -9 - -5. Let z be i(s). Suppose 2*q - 62 = 5*u + 1, z*q - 132 = 4*u. Solve g + 3*g - q = -5*k, 2*k = -g + 9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -412.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 1. Let o(v) = 16. Let h(m) = 11. Let g(b) = -7*h(b) + 5*o(b). Let c(y) = -3*a(y) - g(y). Let x(n) = -n. Determine c(x(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 0.027.\nAnswer: -0.0108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 6 - 2 = 0. Suppose 0*p + u*a + 49 = 3*p, 4*p = 3*a + 77. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 3, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 872592?\nAnswer: 872592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -42 (b) 115 (c) -5 (d) -1\/17 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -1\/42*c**4 + 0 - 2\/7*c**3 - 4*c - 9\/7*c**2. Factor y(k).\nAnswer: -2*(k + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 10 = -2*o, -4*j + 0*o + 14 = -3*o. What is the third derivative of -5*f**4 + 81*f**2 + 15*f**4 - 85*f**j wrt f?\nAnswer: 240*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 349.307 + -349. Let y = -0.107 + x. Which is the second biggest value? (a) 5 (b) 0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 19*c**2 - 57)*(-4 + 4 - 2*c)*(2*c - c + c) + 2*c**4 - 3 + 3 + (2 + 0 + 0)*(-c**3 - 2*c**4 + c**3).\nAnswer: 74*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13112 + -8582. What are the prime factors of y?\nAnswer: 2, 3, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -47. Let q(k) = 5*k**3 + 2*k**2 - 11*k - 10. Let l(s) = 4*s**3 + 3*s**2 - 10*s - 9. Let r(g) = 4*l(g) - 3*q(g). Give r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11542*y = 11538*y, 4*j + 40 = -4*y for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -61, -180, -379, -676, -1089, -1636?\n\"Answer: -3*h**3 - 13*h**2 + 3*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 814976, 815408, 815840, 816272?\nAnswer: 816704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + -2 + -3 - -3) + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 2. Let o be b(2). Let m be 3*(3 - 2 - o). What is the second derivative of -4*f**3 + 3*f**3 + m*f**3 - f wrt f?\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 8, 15, 14, -1, -36, -97?\n\"Answer: -f**3 + 2*f**2 + 8*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8179 + -8177. Solve v = 3*v + 8, -p*b + v = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.81 - -36.4181.\nAnswer: 33.6081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -24*s**3 + 7*s**2 + 23*s. Let m(f) = -16*f**3 + 5*f**2 + 15*f. Let c(o) = -5*h(o) + 7*m(o). Find the second derivative of c(x) wrt x.\nAnswer: 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 + s - 1. Let v(c) = -c**2 - 12*c - 15. Let t be v(-10). Let x be 0 + (0\/(-3))\/(-2). Suppose x*h = t*h - 10. Determine f(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, 1469, 14, -1, -14 in decreasing order.\nAnswer: 1469, 14, 0.7, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**2. Let d(a) = 2*a**2. Let i be 15*2*(-1)\/(-6). Let z = -1 + i. Let h(w) = w**2. Let n(u) = z*d(u) - 10*h(u). Calculate v(n(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0098142 rounded to five decimal places?\nAnswer: 0.00981","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 93 and 144429.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16*k**2 + 3*k - 3. Let s(h) = 11*h**2 - 2*h + 2. Let z(y) = 6*s(y) + 4*x(y). Let o(t) = -661*t**2. Calculate z(o(c)).\nAnswer: 873842*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1032 divided by -1\nAnswer: 1032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -1.903?\nAnswer: 0.3806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 35*n**2 - 55*n - 18. Let b(s) = -12*s**2 + 18*s + 6. Let i(c) = -11*b(c) - 4*y(c). Factor i(f).\nAnswer: -2*(f - 3)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 PM and 7:42 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-16)*164*2)\/(403\/62 + -7)\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(13) + sqrt(208) + 5) + (sqrt(130)\/sqrt(90) - (-1*sqrt(1872) - sqrt(1872))**2).\nAnswer: -7503 - 44*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 6*g - 20. Let h(x) = 3*x**2 + 5*x + 20. Give 5*h(s) + 4*u(s).\nAnswer: -s**2 + s + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -27*d - 13. Let v be r(-8). Let m = v + -106. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m - 5. Let s be l(-2). Let y = s + 10. Suppose -3*q - y*n - 54 = 0, 5*q = 3*n - 52 - 22. Round q to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(((-370)\/6)\/37). Suppose 135 = 4*k + d, k - 130 = -3*k - 2*d. Sort 1, k, 4\/5, t in increasing order.\nAnswer: t, 4\/5, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -563, -584, -607, -632, -659?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 21 = -3*v, v - 5*p - 487 = -531 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5772, 11525, 17278, 23031?\nAnswer: 28784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142283*o**3*u**2 - 234*o**3*u - 12*o**2*u - 587931*u**2 wrt o.\nAnswer: -853698*u**2 - 1404*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + j**2 + 2*j - 33. Let f be r(0). Let m be (1\/2)\/(1\/110). Let x = m + f. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + sqrt(132)\/(sqrt(48)\/sqrt(4)) + sqrt(99)\/(sqrt(9)*-1) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.10017174 and 0.5.\nAnswer: 0.05008587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*k**3 - 100*k**3 + 204*k**3.\nAnswer: 24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 + 40?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -529 (b) 2\/11 (c) 0.16 (d) 8\/7 (e) 0.1 (f) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j. Let r(m) be the first derivative of -2*m**3\/3 - 5*m**2\/2 + 2*m - 2. Let g = 9 - 13. Suppose 6804*c - 7 = 6811*c. Determine c*r(v) + g*d(v).\nAnswer: -2*v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*i + 12, -p - 2*i + 8 = 3*p. Let c be (-5 - -9)*(p + (-4)\/(-2)). Solve -c*m = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, -1, -1\/219?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = 8 + 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjtj when four letters picked without replacement from jggttggjtjt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, k: 1, b: 3, s: 3, n: 2, h: 9}. Give prob of sequence nk.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/12)\/((-2)\/(-45)*-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 40 + -1 + (-5 - (2 - 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 7920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12.7 + 13.7. Which is smaller: j or -8\/23?\nAnswer: -8\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: e (base 16) to base 15\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*s = -6, -280*i + 281*i - s + 16 = 0. What is the third smallest value in 5, i, -11\/3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 7*d**2 - 7*d + 4. Let y be 0*(1 + 3\/(-2)). Suppose -p - v + 19 = -3*p, y = 2*p + v + 9. Is u(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let u = 13 + -13.4. Which is the nearest to m? (a) u (b) -1 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -4. Let r = m - -0.6. Let p = -0.13 + 0.23. What is the closest to p in r, 5, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 + 54*r**4 + 2788*r**3 - 126540*r**2 + 1630750*r - 6806250 = 0. Calculate r.\nAnswer: -45, 11, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1380581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/132 and -83\/3276.\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4 + n - 11 + 10*n**2 + 29 + n**3 - 18. Determine z(-9).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42917 to the power of 1\/2, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*w - 22 = 0, -w - 23 = -3*t - 6. Let z be t\/9 + 2\/(-6). Let g = -23.9 - -24.2. Which is bigger: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39145708 is divided by 13048563.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(3 + (-21)\/9). Let c(t) = -4*t**3 + t + 1. Let r be c(-1). What is the second derivative of -2*j - a*j**4 + 4*j - r*j + 3*j wrt j?\nAnswer: -36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1375 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + 7*h**2 + 6*h + 131. What is the remainder when 10026 is divided by q(9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(30\/(-291)) - 1196\/2990?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z + z**2 - 3*z + (3 - 3 - 2*z)*(-2*z - 3*z + 4*z) - 2*z + 2*z + 2*z**2 - 9 - 10 + z**2 + 4.\nAnswer: 6*z**2 - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 12313232?\nAnswer: 12313221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2\/9*q + 2\/9*q**3 - 2\/9 + 2\/9*q**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 2. Let k(i) = 8*i - 5. Let z(a) = 9*a - 6. Let q = 16 - 12. Suppose -q = o - 10. Give o*k(w) + s*z(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -176*b + 133 + 170 - 148*b + 310*b. Give g(22).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (2 - 24\/3). Suppose 0 = -3*d + d. Let g(q) = q**3 + 2*q**2 - 4*q - 4. Let p be g(2). Solve s*t + 16 + p = d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 130, 131?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3009862709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11*y**2 - 1254*y + 3. Determine h(114).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4 = -i. Let b be i - 1\/((-1)\/23). Suppose -r - u = -b, 2*r - 2*u - 104 = -3*r. 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 634323 to the power of 1\/2, to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1432*l*r**2 + 374*l - 2*r + 3 wrt r?\nAnswer: -2864*l*r - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 68*q = 63*q + 7512, -q + 17624 = 7*s. What is the remainder when s is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3ab9 - d84?\nAnswer: -4a5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + f = 6*f + 3145, 2*t + 5*f = 2055. Let o = t + -587. Is o - (12\/14)\/((-3)\/(-14)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*d - 96*d - 500*d + 62 + 1.\nAnswer: -914*d + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -18. Find the third derivative of -8*h**3 - 3*h**3 + 6*h**3 + 2*h**3 - k*h**2 wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22259719 is divided by 28685?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140328, -140328, -140324, -140316, -140304, -140288?\nAnswer: -140268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -201, -424, -799, -1326, -2005?\nAnswer: -2836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 89352 or 89628?\nAnswer: 89628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 7*z**2 - 5*z - 4. Let l be r(6). Suppose w - l*w - 36 = -3*j, -4*w = -3*j + 36. Let m be (-56)\/(-6) - 4\/j. Solve -2*n - 1 = -m for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 52 = 4*c + 3*i, 2*c - 36 = 5*i. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-168)\/(-6))\/7 + 4. Find the common denominator of 1\/199 and (14\/175)\/(w\/820*-2).\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 - 5526*y\/5 + 574056\/5.\nAnswer: -(y - 102)*(y + 5628)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 31) + 8 + (-73 - 16)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**4\/4 + 1275*z**3\/2 + 14958*z**2 - 456819*z\/2 + 851235\/4 = 0 for z.\nAnswer: -77, -55, 1, 67\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.6 + 6.6. Do -0.1 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1764664 - 1764612. Let z be 1\/4 - 571\/(-4). What is the greatest common factor of z and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2337, -2318, -2299?\nAnswer: -2280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922041430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**(-3))**(-31) assuming m is positive.\nAnswer: m**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4661053451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*n - m, 3*n - 5*m - 6 = -55. Let h(r) = -r**3 - 9*r**2 - 10*r - 9. List the prime factors of h(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218*r = 78*r - 184*r - 12312 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -7, 4, -4, -1 in ascending order.\nAnswer: -18, -7, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.303 and -0.3?\nAnswer: 0.0909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 9*i**4\/10 - 5*i**3\/2 - 48*i**2\/5 - 2*i = 0.\nAnswer: -2, -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w - 2. Let t be v(-3). What is the third derivative of -o**4 + 5*o**5 + 2*o**4 + o**2 - o**t wrt o?\nAnswer: 300*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = -7. Let c be (-6)\/(-4)*22*1. Suppose 5*f + 2*i = -0*i - c, -15 = -f + 5*i. Put f, 5, u in decreasing order.\nAnswer: 5, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y + y + 2*y - 1 - 2*y + 1 + (-y + 0*y + 0*y)*(-3 + 0 + 4))*(12 + 6*y + 14 - 24) to the form f + b*y + g*y**2 and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217 + -541. Let g = -123 - u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646861.\nAnswer: 47, 13763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110677105?\nAnswer: 5, 6197, 100393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 + 2*p. Let w be i(2). Suppose 31 + 97 = w*b. Suppose 0 = -b*c + 17*c. Solve -g - g - 10 = c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -269, -441, -625, -809, -981, -1129, -1241?\nAnswer: -1305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -541, -1075, -1609, -2143, -2677?\n\"Answer: -534*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 6095, 6039, 5945, 5813, 5643?\n\"Answer: -19*q**2 + q + 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 40. What is the highest common divisor of x and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p - 51 + 131 = 0. Suppose -128 = -p*h - 128. Solve h*b + f - 10 = -3*b, -3*f - 25 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 516586201?\nAnswer: 516586200.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26882.049 months in decades?\nAnswer: 224.017075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 404*b - 26693. Give f(66).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.6675 - -6.7. Round c to 3 dps.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*g*h*q - 6*g*h + 7*g*q - 14*g - 4*h*q - h + 57 wrt g.\nAnswer: 2*h*q - 6*h + 7*q - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y - 2*y - y**2)*(3*y**2 + y**2 - 6*y**2) + 11*y**3 - 7*y**4 - 11*y**3 + (0*y**3 - 2*y**3 + y**3)*(-3*y + 4*y + y) + y**4 - 3*y**2 + 3*y**2.\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 7061396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Which is the second biggest value? (a) -2\/9 (b) z (c) -1\/19 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 17*q**4\/6 - 903*q + 1. Let y(c) = 0*c**2 + 5*c**2 + 5*c**2 - 5*c**2. Calculate i(y(b)).\nAnswer: 850*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1609 = 3*l + 403. Let a = l - 713. Let n = -127 - a. Calculate the greatest common divisor of 23 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 0 (c) -1 (d) 1\/9 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes after 3:16 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 139 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7863, 15808, 23751, 31692?\nAnswer: 39631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -206 + 232. What is the closest to 2 in z, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 173614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 9. Let k(l) = -1. Let m(h) = -4*f(h) - 36*k(h). Let q(o) be the second derivative of 0 - 1\/3*o**3 + 0*o**2 + 2*o. Calculate m(q(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8, 5, -10, -17 in decreasing order.\nAnswer: 5, -4, -8, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 1:22 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0751 * -56.037.\nAnswer: 4.2083787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1224)\/459*(1 + (-3)\/2)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + 31 - (49 + -8 + 19).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33, -5, 0, 1, 489, 2.\nAnswer: -33, -5, 0, 1, 2, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/8 (b) 29 (c) 2 (d) 13 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 508, 504, 492, 466, 420, 348, 244, 102?\n\"Answer: -r**3 + 2*r**2 - 3*r + 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9019020 to the nearest 100000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6839124 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1493, 1308, 1007, 596, 81, -532, -1237, -2028?\n\"Answer: u**3 - 64*u**2 + 1556","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 13*q - 1. Let f(y) = -y**2 + 14*y + 1. Let s(j) = 3*f(j) + 2*w(j). What is the units digit of s(14)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 65.46. Let c = -0.96 - h. Let j(l) = -l**2 - 6*l + 4. Let v be j(-6). Sort v, c, 2\/9.\nAnswer: c, 2\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*p**3*s**2 - 20*p**3 + 45*p**2*s + 10*p*s**2 - p*s wrt s.\nAnswer: -8*p**3 + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2.2. Let i = -0.642 + -0.358. Which is the nearest to t? (a) -3 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -96? (a) -16 (b) 456\/5 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -41473544 divided by 4\nAnswer: -10368386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293943 + 279364 = 15019*q + 13293 - 701582 for q.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24757917 is divided by 528?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18535820.\nAnswer: 2, 5, 719, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(300) + sqrt(12)))\/(sqrt(600)*1 - sqrt(6)).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 965 - 103?\nAnswer: 862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 4310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/(g\/(g**(3\/4)*g)))\/g**(-10\/7))**(2\/5) assuming g is positive.\nAnswer: g**(117\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(500) - (3 + sqrt(500) + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15\/436 + 1557\/109. Let u = 119411\/18 - 6636. Calculate the common denominator of q and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 7.1799487?\nAnswer: -7.5799487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -42\/39217?\nAnswer: -42\/39217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 7:57 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 43748 <= 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22239885 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i - 20*i + 12 = 0. Let h be i\/(20\/(-3))*(-75)\/30. Let v = -0.3 - -0.5. What is the third smallest value in 3, v, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1177101 is divided by 842.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -887.29 + 881. What is l rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -393.\nAnswer: 5\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32*(18\/(-24) - -5). Let w = r - 69. Calculate the remainder when w is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3427 = 2*v, -7*v - 5*n = -3*v - 6845. List the prime factors of v.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 36227, 72452, 108677, 144902, 181127, 217352?\nAnswer: 253577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-7)\/(-14))\/(2 + (-127)\/64). Suppose -2*n + m = -n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -63 bigger than -78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/12)\/(274\/6576)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1 (b) -12.2 (c) 38\/3 (d) 3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - i - 13 + 3, -q = -i - 22 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*v + 3*s - 83, -v = 5*s - 49. Suppose 2*m = 5*h + 51, -h + 9 + 24 = 2*m. What is the remainder when v is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:47 PM?\nAnswer: 9:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2394 + -2399. Let b = -4.52 + -0.28. Let f = b + 0.8. What is the nearest to 0.2 in f, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**0)**(-25)\/((g*((g*g**(-4)*g*g)\/g*g)\/g)\/(g\/(g*g*g\/g**(-2\/11)*g))) assuming g is positive.\nAnswer: g**(-574\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 76475647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**4\/2 - 12*u**3 - 87*u**2 - 220*u - 733. Determine o, given that s(o) = 0.\nAnswer: -11, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, n: 1, p: 2, z: 3, u: 1}. Give prob of sequence pqq.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-18)\/(-108))\/(3\/((-27)\/(-6)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0 = 8. Let m(h) = h**2 - 2*h - 5. Let t be m(a). Solve 1 = -t*d + 2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 133225\/47022 + 2\/23511. What is the closest to 0 in h, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 - 14*h**2 + 7*h**2 - 142 - 208.\nAnswer: -2*h**2 - 350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 7 = -4*j - 5*x, -1 = -x for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + (3 - 8 - (2 - 10))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 - -1 - 108\/(-12 + 8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -1023 - v - 1020 + 2042. Let t(a) = 2*a**2 + 4*a - 3. Let d(k) = -5*k**2 - 8*k + 7. Let j(f) = -4*d(f) - 9*t(f). Give j(r) - 4*s(r).\nAnswer: 2*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -10*s + 312. Suppose 0 - 9 = -3*l. Suppose l*g - s = 8. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-7)*n**8)\/(n**1*n)**(8\/3))**12 assuming n is positive.\nAnswer: n**(-52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*h + 20*h + 801 + 1215. Let p(s) = 13*s**2 - 2*s. Let o be p(2). Calculate the highest common divisor of h and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h - 2*h - 7*h + 82 - 87*h - 82 - 2*h + 2*h + 2*h + 3*h - 2*h - 3*h + (-3*h + 5*h + 0*h)*(-3 + 5 - 4) to l*h + g and give l.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, a: 13, o: 3}. Give prob of picking 2 a and 1 o.\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 13*g - 2 - 15*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23346 and 7782.\nAnswer: 23346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23113 (base 4) to base 7.\nAnswer: -2056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 887, 1889, 3023, 4295, 5711?\nAnswer: 7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 527683 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 - (23 + 51 + 3)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 9:15 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/4*-10. Let d(h) = 384*h + 14593. Let u be d(-38). Sort u, -42, 2, i in ascending order.\nAnswer: -42, u, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 17. Let n = -19884 - -19886. Let h(p) = p - 4. Let z be h(6). Solve -m*v - 5 - 25 = 4*i, -4*v = -n*i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-78) - (-26900)\/65. Calculate the highest common factor of 92 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-616)\/(-1694))\/((-11)\/((-5929)\/70)).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4057628 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xklxllkrxvrrxrvv. Give prob of picking 4 x.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85420165069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3440 + 5959. Suppose k - 989 = 17*x. What is the remainder when x is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3308, -3302, -3296, -3290, -3284, -3278?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.5 - 5.5. Let f = 2.7 - 3. Let q = 0.2 - f. What is the nearest to 0 in -0.1, q, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 18, z: 1}. What is prob of sequence szs?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*w - 48300 = 88*w. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 3)*(5*j - 3*j + j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 b, and 1 i when three letters picked without replacement from bknnktnkkntntftiktkk?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x**2 + 93 - 44*x**2 + 162*x**2 - 93.\nAnswer: 76*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, m: 4, w: 4, v: 2}. What is prob of picking 1 f, 1 w, and 1 v?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 12185 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 are the prime factors of 76962?\nAnswer: 2, 3, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + a6?\nAnswer: a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/2772*(342\/16)\/(-19)*-6*1\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11067.\nAnswer: 3, 7, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (210*f**2 - 1250*f**3 + 2504*f**3 - 1252*f**3)*(-3 - 3 + 10) in the form g + h*f**2 + w*f + c*f**3 and give h.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2429 and 255883005.\nAnswer: 2429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -102748*(-10 + 61\/6)*3\/(-2)?\nAnswer: 17, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 77*k**6\/6 - 40*k**3\/3 - 84. Find the third derivative of x(g) wrt g.\nAnswer: 4620*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -10. Let z(l) = -l**3 - 10*l**2 - 8*l + 11. Let i be z(f). Suppose 19 = b + 4*m - 39, i*b = -m + 123. Is b 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 70017857?\nAnswer: 7, 13, 71, 10837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2605\/4 - 644. Let o = 19\/4 - a. Suppose -n + 2*z = z + 2, -2*n = 2*z + 4. Is n at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 5*p**3\/6 - p**2\/2 + 123*p + 1. Let k(r) = -5*r + 1. Determine -6*k(l) - 7*m(l).\nAnswer: -5*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/6 + 49*s**3\/3 + 407*s**2\/2 + 630*s.\nAnswer: s*(s + 5)*(s + 9)*(s + 84)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + (-1*sqrt(75))**2 + sqrt(75) + sqrt(3) + 3.\nAnswer: 11*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i = -9. Let y = 0.5 + -1.5. Let p = y - -5. What is the third biggest value in p, 0, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -124932, -124928, -124924, -124920, -124916, -124912?\n\"Answer: 4*r - 124936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(3\/20))**(-4)\/(g\/g**(-26)*g**(2\/7)) assuming g is positive.\nAnswer: g**(-1074\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4002 + -4002.7101. Round u to two dps.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*a - 22*a = -91012 - 155849. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 470 and 4.\nAnswer: 1880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15.793*0.1\nAnswer: -1.5793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.2, 2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48632020 + -31973020. Suppose -44*x + 17*x = -o. What is x rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528558467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 128685 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 - 3*w**3 - 59*w**2 + 2*w**3 - 5*w + 57*w**2.\nAnswer: -w**3 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/13 + 200*k**3\/13 - 2248*k**2\/13 - 5280*k\/13 = 0. Calculate k.\nAnswer: -110, -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*k - 0 + 24, -5*j - 29 = 3*k. Put k, 1386, 4 in decreasing order.\nAnswer: 1386, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 2\/13, -0.1602, -2, -19, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -20*k**2 - 2651*k + 18582. Give x(7).\nAnswer: -955","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/28 - 1 - (-5382)\/(-1449).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -594491 less than -53513.3?\nAnswer: 540977.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l**3 - 2*l**2 - 6089*l + 14833 with respect to l.\nAnswer: -3*l**2 - 4*l - 6089","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -6, 511*n - 508*n + 4*h - 18 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3060952 and 299973296.\nAnswer: 299973296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*o = 17*o - 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22529*r**2 + 22529*r**2 - 3*r**3 - 316 + (-r**2 + 3*r**2 - r**2)*(1 - 1 + 2*r) + 1 - r**3 - 1.\nAnswer: -2*r**3 - 316","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8479 is divided by 166?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let b(g) = -2*g**2 + 8*g + 6. Let k(i) = -b(i) + 6*w(i). What is x in k(x) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 12 - 3*j - 6*j + 8*j.\nAnswer: -j - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278618 is divided by 19901?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3036062.7 to the nearest 100000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2))**(-19)\/(m*((m*m**(1\/5))\/m)\/m)**(-19\/6))\/((m\/m**0)**(-25))**37 assuming m is positive.\nAnswer: m**(28909\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -407 divided by -67\nAnswer: 407\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 75418?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/5))**(-1\/18)\/((w\/(w**0\/w))\/(w**(1\/9)*w)) assuming w is positive.\nAnswer: w**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 117546866?\nAnswer: -2\/58773433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 5*c + 2*c + 4*c - 3*c - 3*c + (0 - 2 + 3)*(-2*c + 0*c + 3*c) + 42*c + 11*c - 281*c - 4 - 2*c + 4 + (2 - 3 - 1)*(2*c - 2*c - 2*c).\nAnswer: -228*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11598*s + 11556*s - 23381*s + s**2 to the form w*s**2 + n + f*s and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 z when four letters picked without replacement from {z: 5, p: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 175494?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -1\/31 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041314 to 7 dps.\nAnswer: -0.0000413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -184462 (b) -1\/6 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-33)\/(-132) - 26\/8. Let k(s) = -3*s**3 - 2*s**2 + 9. Let o be k(q). Calculate the highest common divisor of o and 504.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12536.4 + -12536. Let l = 0 - 0.4. Which is the nearest to 0.1? (a) l (b) t (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -219*t - 103 - 3118*t**2 - 1576*t**2 + 157 - 63 + 369*t**2 wrt t.\nAnswer: -8650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-2) + 1 + -1. Let d be (-1)\/2*(5 + t). Suppose 0 = 5*f - 21 + d. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-150024*b**2 - 1 + 150061*b**2 + 3)*(-1 + 1 + 1)*(28 - 28 - 2*b).\nAnswer: -74*b**3 - 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/24 - 13*j**3\/6 + 4*j**2. Let q(w) = -2 + 1 - 7*w**2 - 205*w**3 - 11*w + 204*w**3 - 4. Let h be q(-5). Determine z(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 7. Let b be v(11). Solve -b*k + 2*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 24*s**2 - 238*s + 19. Give k(10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.887 + -10.376.\nAnswer: -21.263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.11329.\nAnswer: 0.022658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 402*w + 46175. Calculate q(-113).\nAnswer: 749","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0 (c) 5 (d) -505713\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -332 (base 7) to base 6\nAnswer: -442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 45\/6 - 9 - (1 - (-300431980)\/8). What is p rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -55 - -58. Let t be -4 + i + (0 - 2). Let l(w) = -2*w - 2. Let b be l(t). Solve b*k = -5*s, -k + s + 4 = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4340 = -3*l - 64*q, l - 9959*q = -9960*q - 64 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06552 + 4.93448. Let r = -742\/9 - -82. What is the nearest to 0.1 in g, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 307*f - 3 = -310*f, 4*n - 5*f + 5 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -73 (b) -2\/191 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1767)\/(-1023) + 3\/11. Put -24, -14, 3, q in decreasing order.\nAnswer: 3, q, -14, -24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/4 - 147\/140?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 5, -1\/576?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((33\/(-3))\/(-33))\/(4\/(-6)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93936 by 17.\nAnswer: -93936\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 12, q: 5, t: 2}. What is prob of picking 3 z and 1 t?\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.95 + 2.05. Which is the biggest value? (a) -71\/2 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 + g**3 - g**3)*(-7 - 14 + 1)*(0 + 1 + 0).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 0*w - w**3 - w**2 + 0*w**2 + 2 + 0*w**2 - w. Let s be g(-2). Let h = 19 - s. What is the remainder when h is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 448, 1655, 4010, 7897, 13700, 21803?\nAnswer: 32590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1499 - 16476\/11. Calculate the common denominator of -21\/8 and s.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 0.1. Suppose 0 = 5*z - 5*q + 1 - 11, -3*q - 30 = 5*z. Let r = 143.5 + -143.2. What is the second biggest value in z, r, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -54, -3.3, -16\/7, -5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 48*w = -5*t - 9 - 17 - 14, -5*w - 47 = 21*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 18*p**2 - 317*p - 126. Give x(29).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/20)\/(4\/60). Let z(k) = k - 7. Give z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + 15*x - 1. Let q be b(-18). What is the tens digit of q + (0\/3)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 54. Let j be 6\/(-1)*d\/(-39). Let g(o) = o - 3. Calculate g(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, j: 2, h: 10, x: 5}. What is prob of picking 2 h and 2 j?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 239393, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(15\/(210\/28)). Solve -4*f - 4*c = -8*f, -3*f - 2*c - t = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168636581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*b - 13. Let n = 9 - b. Solve -10 = -2*p, -4*m + n*p - 24 = -7 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) 81 (c) -5\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*i + 9*i - 3 - 27 = 3*t, 0 = -5*t - t + i - 40 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1131 divide 91031928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g*g*g\/(g\/(g**(-13)*g))*g*g)\/g)\/g)**(6\/13))**23 assuming g is positive.\nAnswer: g**(-1104\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-4) + 2\/(-4). Suppose 2*g = -9*w + 4*w + 7, -35 = -5*w + f*g. Let n be 10\/14 + 2\/7. What is the closest to n in -5, 0.2, w?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*2*sqrt(220))\/(sqrt(40)\/(sqrt(30)\/sqrt(3))))\/((sqrt(100)\/sqrt(4)*-5)\/(sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720)*-2 + sqrt(720))))))**2.\nAnswer: 405504\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271 + -136. Let k = 678\/5 - g. Factor 3\/5*v - 3\/5*v**2 + 3\/5 - k*v**3.\nAnswer: -3*(v - 1)*(v + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 4\/(-8))\/(3\/10). Suppose -y*o + 5*x + 25 = 0, x = 5*o + 5*x + 2. Let s = -6.7 + 7. Which is the third smallest value? (a) o (b) s (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 + 64.32. Let j = -64.971 + m. Round j to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from zzzznnznzznzzznzznz?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -212160*j**2*w**4 + 351*j**2*w**2 - 31*j*w**4 + 2*j*w**2 + 1128*j wrt w?\nAnswer: -5091840*j**2*w - 744*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*t - 37. Suppose -5*v = -3*b + 191, t*b + 4*v - 35 = 273. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10) - (-74)\/10. What is the derivative of -1 - m - 5*f + 14 wrt f?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -25 or -1142\/47?\nAnswer: -1142\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a factor of 1211838919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63 - -36. Does 33 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/365352 and -17\/30446.\nAnswer: 365352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together -177017 and 17.\nAnswer: -177000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1642.2871172 to two dps.\nAnswer: -1642.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102083389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 3*m + m. Let x = 99 - m. Does 28 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10959, 2, -1, 3, -4 in decreasing order.\nAnswer: 10959, 3, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 4, -3, 252, 0 in descending order.\nAnswer: 252, 4, 0, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73)\/7*(22\/(-11))\/((-150)\/525)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2324 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(363)*-1 + -2 + sqrt(363) + 5*(sqrt(363)*3 + sqrt(363)) + sqrt(363) + sqrt(363))**2 + (5 + 2 + sqrt(363) - 2*(0 + sqrt(363))) + -3.\nAnswer: -979*sqrt(3) + 175700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126 + 1037. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3137*x - 2956*x + 15566 for x.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1316087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -14*o - 65626*y + 65621*y, 35 = 3*o + 5*y for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -217, -605, -1151, -1849, -2693, -3677, -4795?\n\"Answer: s**3 - 85*s**2 - 140*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/10*(-12320)\/672 and 579.\nAnswer: 6369","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 4\/106235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**2. Let a(j) be the second derivative of -599*j**3\/6 + 53*j - 1. Give a(o(r)).\nAnswer: -1198*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3. Let q(i) = -8*i**3 + i**2 - 3*i + 1. Let b(s) = -4*k(s) + q(s). Let g(h) = 7*h**3 - 2*h**2 + 5*h - 1. Calculate 5*b(u) + 3*g(u).\nAnswer: u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*(-1 - -234) - 1. Let s = k + 1313. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0098 - -0.0011. Let m = v + 1.8087. Sort -5\/3, m, -3 in decreasing order.\nAnswer: m, -5\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**2 + 350*g - 10. Let r be w(0). Suppose -3*u = 2*u - r. Calculate the remainder when u is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -44*y + 1\/15*y**4 - 2\/15*y**3 - 1\/100*y**5 + 0 + 0*y**2. Factor l(g).\nAnswer: -g*(g - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10864305 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 535743979 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/(-90))\/(7\/(-5)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 358780?\nAnswer: 2, 5, 17939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 7:00 PM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n - 2. Let r = 22 + -14. Suppose r = -u + 10. What is g(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8585*c**2*n**3 + 762*c**2 - 6*n**3 + 30849*n**2 + 2*n + 2 wrt c.\nAnswer: 17170*c*n**3 + 1524*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378 + 183. Suppose -5*s - 26 = -2*t, 0 = 3*s - 2*t + 7*t + 28. What is the hundreds digit of (f - s\/(-3))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -89 - -26 - -47 - (-15 + 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10294 and 0.3.\nAnswer: -3088.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*s = -46*s + 10. Let a = -9 - -13. Let m = a - 6. What is the smallest value in 0.1, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13 + 10. Let p be (-1*0\/c)\/1. Solve 3*u = -p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in millimeters?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3917 - 3.6083. Which is the nearest to -2\/7? (a) 1 (b) 60 (c) -3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52665 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 484212 (base 12) to base 10\nAnswer: 1168430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9260 = 539*a - 41008 + 3914 for a.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (24\/42)\/(((-24)\/126)\/(-2)). Let x(k) be the first derivative of 1\/24*k**s + 0*k**2 + 5\/16*k**4 + 1\/6*k**3 - 13 + 1\/5*k**5 + 0*k. Factor x(o).\nAnswer: o**2*(o + 1)**2*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4805 + 4821. Solve 0 = -5*z - 5*m - 25, 17*m = b*m for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*x + 10736 = 5*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 119.22 + -6.94. Round u to the nearest integer.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzfz when four letters picked without replacement from {f: 2, z: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**3\/4 + 7*z**2\/2 + 35*z\/4 + 11\/2 = 0.\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-220)\/(-15) - 2 - (-3)\/9. Suppose -70 - 34 = -v*m. Solve -12 + m = -4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(3\/5)*(l*l*l\/(l\/(l\/((l**(-1\/6)\/l)\/l*l))))\/l*(l**(2\/7))**(-3\/25) assuming l is positive.\nAnswer: l**(3919\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2181482 divided by -20.\nAnswer: -1090741\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 != 5498\/767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of -n**3\/3 + 2*n**2 + 5*n + 268. What is q(-5)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4079 + -4074. What is the third biggest value in -5, 1\/21, p, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 - 31. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1*d)**(-18))**(6\/25) assuming d is positive.\nAnswer: d**(-216\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (1\/1 + -6). Let r(i) = -3*i**2 - 3*i**2 + f*i**2. Let k(t) = t**2 - t**2 - 3*t**2. What is k(r(n))?\nAnswer: -12*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -111010011100101110 (base 2) in base 14?\nAnswer: -63366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3 + 248*x**2 + 2826*x - 6660 = 0.\nAnswer: -111, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -3*v**4\/5 - 93*v**3 + 54999*v**2\/5 + 111381*v\/5 + 11184 = 0.\nAnswer: -233, -1, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -50\/7067?\nAnswer: -50\/7067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1352a + 18?\nAnswer: -13512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y - 4 = 0. Let f = -391175 - 948825. Let k be ((-3)\/6)\/((0 + y)\/f). What is k rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2 = -17. Determine n, given that 2*n**2 - n**3 + 2*n**2 - a*n**2 + 0*n**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 4, y: 5}. What is prob of sequence yypy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -10122?\nAnswer: 10120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.988 - -0.012. What is the third biggest value in -1, 0, t, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(63))\/(6*sqrt(9)*-1).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39452 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -241, -417, -595, -775, -957, -1141?\n\"Answer: -u**2 - 173*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 divided by 1.\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (31403223\/(-606))\/579 - 1\/2?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 30 - 65 - (-12 + -3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/11352 and 76\/1173.\nAnswer: 4438632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**2*j**2*z - 4*i**2*j*z - 7*i**2*j + 7*i**2 - 2*i*j - 254*i*z + 3*j**2 + 2*z wrt i?\nAnswer: -2*j**2*z - 8*j*z - 14*j + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -23586 divided by 10\nAnswer: -11793\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**3\/2 - 17*d**2\/2 + 4*d. Let h be y(6). What is the closest to -5 in 4\/3, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*k + 3*k. Solve -2*c - c = k for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 151 - -179. Let y be h*2*(-1)\/(-3). Let w be y\/25*(4 + 1). What is the highest common factor of 11 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21185.547 to the nearest 10.\nAnswer: -21190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 68 = -2*h. Suppose -n + 28 = 4*n - r, 4*r = n - h. Find the first derivative of -2*f - 9*f + n*f - 5 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -5. Let y be 1\/(-3) + (-14)\/(-6). Let p be (2\/((-4)\/3))\/3. Sort y, z, p in descending order.\nAnswer: y, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 8*g**2 + 7*g - 13. Let s be i(-9). Suppose -4*o + 294 = w, -s*o - w + 429 = 61. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -18*k**2 + 2*k - 1. Give i(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 7*m**2 + 7*m + 8. Let k be q(8). Suppose 6*a - 59 - 31 = k. Solve -7*v = -2*v - a for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a decade in months?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6848 = 129*h - 428*h + 363*h for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -241.1 - 0.9. Let j = -241.9999577 - w. What is j rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbxxsbtsxxbb. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19726728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**3 + 434*c**2 - 428*c - 4. Let w(g) = 3*g**3 + 868*g**2 - 857*g - 7. Let t(k) = 7*l(k) - 4*w(k). Suppose t(o) = 0. What is o?\nAnswer: 0, 1, 216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3812 and 38506.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -102971 to the nearest one thousand.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00233, 0.8, -3 in descending order.\nAnswer: 0.8, -0.00233, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 13*a**5\/5 + 3*a**4\/2 - a**3\/3 - 19*a**2\/2 - 222. What is the third derivative of g(q) wrt q?\nAnswer: 312*q + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.0228? (a) 1.1 (b) -0.16 (c) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -26.187?\nAnswer: -7.8561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 1 = f, 0*f = -2*h + 5*f - 5 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3705 - -3705.13. What is the second smallest value in t, 0.12, -2\/17, 5\/2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**3\/3 + 6*w. Let c(q) = -2*q**2 + 2 - 2. Determine c(i(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n - 10. Suppose 2*j + 5*m - 4 = 0, -2*j - 2*m + 5*m + 20 = 0. What is the units digit of w(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of r**5\/24 + r**3\/3 - 2*r. Let l(y) be the second derivative of v(y). Does 10 divide l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 887624 to the nearest integer?\nAnswer: 942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32096?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/2, 23.\nAnswer: 1\/2, 9, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1619 + 3.6619. What is the nearest to -0.1 in v, -419, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 4*c**2 - 6*c. Let m be f(-5). Suppose -m*y + 5*s + 55 = 0, 5*y - s - 16 - 27 = 0. Solve 4*x - y*x = -4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -25*n + 70. Let l(v) = -3*v + 8. Let u(m) = 4*d(m) - 35*l(m). Let j(r) = -29*r**2. What is j(u(z))?\nAnswer: -725*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 17. Suppose -5*s = -0*s - g. Suppose 22 = 5*m - s. Solve -m*d - 6 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -19\/11123?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o = -34*o + 3*y + 8, -3*y = 2*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/10)\/(9555\/2184)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 225 and 39099325?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 73757.25 centuries?\nAnswer: 88508700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 176 + -5. Calculate the highest common factor of 19 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u - 8. Suppose -o = -0*o - r + 5, u*r = 3*o + 10. Suppose n + 2*n - 99 = o. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvvwwwvwv. What is prob of picking 3 v?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 350 + -332 + 4 + -1. Solve 0 = -2*w + r - 3, 6 = -26*w + p*w + 4*r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -3*g**3 + 5*g**2 + 1. Let w(o) = -o**3 + 3*o**2 + 1. Determine 3*c(y) - 5*w(y).\nAnswer: -4*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(367 - 215 - 191)*(-4*s - 3*s + 4*s).\nAnswer: -234*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15101 divided by 3.\nAnswer: -15101\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbb when three letters picked without replacement from {o: 3, f: 1, b: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 61 = -4*w, w - 90 = -4*j - 0*w. Let t = j + -18. Suppose 2*f - 76 = -t*g, 4*g = 2*f - 2 + 52. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114624 + -67545. What is the hundreds digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -48 + 36. Let v = 12 + -10. Let b be v + (110404\/(-10))\/(s\/(-10)). Round b to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ylflrffflrfllyllll. Give prob of picking 1 r and 3 f.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/13)\/((z\/(z*z*z**(-4)))\/z*z) assuming z is positive.\nAnswer: z**(-37\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 10:20 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 1 (c) 0.14 (d) 1185.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 351 + -324. Suppose r*i - 247 = 8*i. Solve -4*m + 5 = i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 + 14 = -2*h. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/7))\/((z\/(z*z\/(z*z**3)))\/z*z)*(z\/z**(5\/7)*z)**(-14) assuming z is positive.\nAnswer: z**(-138\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from {j: 1, g: 17}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -513.8 and 949390971.\nAnswer: 949390457.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 532822553?\nAnswer: 71, 7504543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:46 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 11 = 349. What is the remainder when p is divided by 23?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31687432 to the power of 1\/2, to the nearest integer?\nAnswer: 5629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 292 is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3138*f**3*s**2 + 966*f*s**3 - 2*f - 2*s**3 - 25431596*s wrt f?\nAnswer: 9414*f**2*s**2 + 966*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 962*c + 36*c + 13 - 13 in the form l*c + g and give l.\nAnswer: 998","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 + 12. Put g, -4, 2\/7 in descending order.\nAnswer: 2\/7, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auxa. What is prob of picking 2 a and 1 x?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7.5 times 0.04218\nAnswer: 0.31635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 516 - 285. Suppose -3567 + 3399 = -8*u. Calculate the highest common divisor of t and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/5, 2\/15, -4, 7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -230001*d**2 - 2*d - 1. Let z be r(-1). What is z rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 661 + 671 = 5*b, -13 = 2*b + 5*u. Let h(z) = z**2. Let j(x) = 6*x**2 + 5 - 3*x**2 + 2*x**2 + 5*x. Let n(q) = b*h(q) - j(q). Determine n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2*h - 2, 5*x - 3*h + 35 = -0*x. Let o be (1\/(-26))\/(1\/x). Let k = 781 + -780.9. Which is the closest to 1? (a) k (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57212753*a - 57212726*a + 114425475*a.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 4*h**2 - 3*h**2 + 0*h**2 + 1. Let g(a) = 4*a**2 + 53*a**2 + 0 - 59*a**2 - 2*a - 1. Give g(z) + 3*s(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.529 - 0.071. Suppose -y = -3*y - 8. Let g be 5\/2*y\/(-45). Put w, 1, g in decreasing order.\nAnswer: 1, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 2*n - 124. Let l = -43 - n. Let s = 98 - l. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 91*h**3 - h**2 - 3*h + 4. Let a be (-178)\/6*(-10 + 13). Let c = 90 + a. What are the prime factors of p(c)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + 8946\/(-162). Let z = -55 - c. Suppose -4*x - 5*a + 28 = 0, z = -5*x - 3*a + 27 - 5. Let n(w) = 4*w - 3. Calculate n(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370764 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 117.20002499 + -117.2. What is s rounded to six dps?\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 155.1896ml to litres.\nAnswer: 0.1551896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388 = z + 2*w, 5*z + w - 1396 = 553. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.326 + 41.326. Let g = v + -40. Let l be (1\/(-3))\/((-2)\/(-6)). Which is the smallest value? (a) g (b) -2\/11 (c) l (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 88377.7kg?\nAnswer: 88.3777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, t: 5, s: 4}. Give prob of picking 2 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 2\/3 (c) 3\/2 (d) 30 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8a + 98?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*p - 49427 = -5*v, 3*v - 2*p = 29687. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.1252 - -0.5.\nAnswer: -0.6252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1 - 4\/2. Let k be (-24)\/(-16)*(1*10 + 0). Is 3 a factor of ((-25)\/k)\/(z\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((256\/60)\/(-8))\/((-70)\/(-175)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qaqaqaaaaaaaqaaaaqa. Give prob of picking 4 a.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24868826 is divided by 136?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -2*x + 13. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and -0.1.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4651?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 12 = -0*p. Suppose -3*o = -o - p. What is the units digit of (o\/(-6))\/((-2)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234688.482 nanoseconds in days?\nAnswer: 0.000000002716301875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((22\/4)\/(18\/24))\/((-2)\/(-3))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -267*z**2 - 39 + 129*z**3 + 15 + 72*z**4 - 5*z - 12*z**5 - 60 - 319*z = 0.\nAnswer: -2, -1\/2, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 7*w - 16. Suppose 11 = 4*c + 3*b - 20, 2 = -c - w*b. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -15. Suppose -s*b + 1477 = 2*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285394.84 rounded to the nearest one hundred?\nAnswer: 285400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:37 PM?\nAnswer: 9:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by (3055\/(-195))\/((-1)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224131*k**2 - 112067*k**2 - 112059*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*x**2 - 39*x - 10*x**2 + x**2 + 3*x**2 in the form u + o*x + n*x**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(5 + sqrt(300) + 0 + sqrt(300)) - (1*(-1 + sqrt(972)*-1))**2).\nAnswer: -938 + 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18471.59 - -18386. Let c = 4.09 + x. What is c rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - (-10)\/(-4))\/((-17)\/1258) + -4. Solve 39*w - g = 50*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -13833911?\nAnswer: -13833911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283274751 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -2. Let y = 7.6 - 18.1. Let b = f + y. Which is smaller: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/4 + 5*r**3\/8 + 3*r**2\/8 + 40*r + 2. Let g(p) be the first derivative of k(p). Factor g(f).\nAnswer: 3*(f + 1)*(4*f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 564029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33618 is divided by 82.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135*s - 72 = -1153*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -14*c**2 - 3*c + 2. Let q(l) = -29*l**2 - 5*l + 5. Let t(h) = 5*a(h) - 2*q(h). Find the second derivative of t(b) wrt b.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101165 - -190635. Let x = n + -154470. Round x to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 - 0.9. Let t be 4\/(-2) + (-5 - -7). Let j = -495 + 496. Which is the third smallest value? (a) t (b) j (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27*0.7.\nAnswer: 18.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3916 and 18601.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -24035897 divided by 3719\nAnswer: -6463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3349\/2 - 1674. Is j <= -6\/187?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/9)*q**(-2\/11)*q)\/(q**0\/q)**7)**37 assuming q is positive.\nAnswer: q**(27824\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2.9. Let x = 3 - 0. Let y = x + -3.1. Which is the closest to y? (a) 1 (b) 2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**4*g*g)\/(g*g**3))\/(g**1\/g*g)**(9\/11))**(1\/29))**(-1\/10) assuming g is positive.\nAnswer: g**(32\/1595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*o**4 + 451*o**3 - o**2 - o + 50266?\nAnswer: 168*o**2 + 2706*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sjcgpdc. Give prob of picking 1 s and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45668746, -45668745, -45668744, -45668743?\n\"Answer: z - 45668747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -572.225083 to the nearest integer.\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 194013629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x. Let i be w(-1). Let c = -89 + 91. Let d = c + i. Is -2 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdcccff. What is prob of picking 1 c, 1 f, and 1 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20646\/999 - 4\/6?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16439 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 3. Let d(i) = i - 3. Let j be d(4). Which is greater: p or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2, 12.36, -43, 0.3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 7129510419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-1)\/(-68))\/((-94)\/(-24252)). Is 0.1 at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4994 minus 136?\nAnswer: 4858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -3*s + 43 + 22, 0 = -3*s + 4*r + 29. Let d = s + -38. Is (1 + -11)\/(2\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + 4*d + 8. Suppose z + 5 = 3*s, -z - 1 = 4*s - 9*s. Is a(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147 + 148. Let i = 1.21 - -3.76. Let v = i - 5. Sort x, v, -1\/8 in decreasing order.\nAnswer: x, v, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 - -75. Suppose 3*t - 26 - n = 0. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*o + 1720 - 1969 = -w, 5 = 5*w for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 2*q**3 + 5*q**2\/2 - 5*q - 94. Let p(f) = f**2 + f - 1. Let r(n) = 5*p(n) - u(n). Let y(h) = 18*h**2. What is r(y(v))?\nAnswer: -324*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 5*z + p - 10, -2*z = -2*p - 8. Suppose 0 = -r + 5*x + 26, 5*x = r + z*x - 17. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(243) + (sqrt(243) - 4*(0 + sqrt(243)))**2 + (6*sqrt(243)*2 - sqrt(243)) + -5 + -4)*6.\nAnswer: 648*sqrt(3) + 13038","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lc when two letters picked without replacement from {w: 2, t: 4, k: 1, c: 3, e: 3, l: 4}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 5, -38\/35, -4, -0.1, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/11 - 3218*g\/11 - 6428\/11.\nAnswer: -2*(g + 2)*(g + 1607)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -17. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1235 - 131352?\nAnswer: -130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123738181 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + 2 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/557047 + 1114108\/3899329. Suppose q*p**4 - 6\/7*p**3 - 18\/7*p**2 + 0 - 10\/7*p = 0. Calculate p.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 10?\nAnswer: -100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -4*n - 27, -4*n = -9*n + 5*u - 90. Let j(h) = -h**2 - 15*h - 5. Calculate the remainder when j(n) is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14313332*t**5 - t**3 - 12065623*t.\nAnswer: 286266640*t**3 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 5, y: 7, j: 1}. Give prob of sequence zyjg.\nAnswer: 35\/14688","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n + 16. Let b(y) = y + 5. Let u(o) = -20*b(o) + 6*w(o). Let r(v) = v**3 - 15*v**2 + 11*v + 29. Let z be r(14). What is the hundreds digit of u(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 - 2 - (-6 + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(5 + sqrt(1377) + 1*sqrt(1377))*-5)**2.\nAnswer: -276650 - 9000*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746507112 to the nearest integer?\nAnswer: 27322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 494.8328 milliseconds in microseconds?\nAnswer: 494832.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {q: 2, w: 2, f: 1, x: 1, m: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 52 = 2*s. Let q = s - 11. Suppose -n + 2*n - 4 = 0. Sort q, -2, n in ascending order.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let k(g) = -g**2 - 285*g. Give k(a(p)).\nAnswer: -4*p**4 - 570*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9131211l to millilitres.\nAnswer: 913.1211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 1648438.\nAnswer: -8242190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a7a3 (base 13) in base 10?\nAnswer: 1537019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7217 (base 12) to base 14.\nAnswer: -473d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -25. Let o(m) = m**3 + 128 - 17*m - m**2 - 120 - 2*m**2. Is o(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 2. Let w = 10 + g. Suppose 4 = -3*x - t, -x - 1 = -w*x + 4*t. Sort 1, x, -2 in increasing order.\nAnswer: -2, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -0.5, -0.18, -5\/2 in decreasing order.\nAnswer: -0.18, -0.5, -5\/2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 3*y + 18 = 10, 2*y - 5 = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*h + 33*h - 832 = 0. Let s = 322 - h. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -46*o - 28. Give r(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2314111170?\nAnswer: 2, 3, 5, 7, 11019577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -16*t**2 - 1027*t - 197. Calculate m(-64).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1997 by -29.\nAnswer: 1997\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -16587.6?\nAnswer: 16588.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/20*(-2)\/(16\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 9*n**2 - 48*n - 3958. Is 4 a factor of q(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 6:28 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0 (b) 36 (c) -2 (d) -88 (e) -1\/22 (f) -19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*sqrt(468)*-1)**2.\nAnswer: 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - -3 - (-2 + 2). Sort c, -2, 0.5, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, y: 13}. Give prob of picking 4 y.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2206)\/58459 - (-10)\/((-3180)\/19386)\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-2 - (-4)\/3). Suppose 6*p = 3*p + b. Suppose 2*j - p*x = -0*j + 1240006, -2*x - 4 = 0. What is j rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1936))\/sqrt(8) - (sqrt(288) + ((sqrt(288) + sqrt(288) + -3)*-3)**2).\nAnswer: -10449 + 1317*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 - 12 - t**2 + 63 - 14 in the form i*t**2 + n*t + o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.99 + -8.29. Sort 0.15, -0.01, h in decreasing order.\nAnswer: 0.15, -0.01, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from {e: 1, p: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*n + 20 = -2*t, 0 = 4*t + 2*n - 12. Let i(x) = 3*x**2 - x**3 - 1254 + 2*x**2 + 1252 - 5*x. Determine i(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*r**2 + 6 - 482*r - 4 + 123*r**2 + 481*r to m*r**2 + a + g*r and give m.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -562 - 458 + 942 + 26*j to s*j + a and give s.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2923?\nAnswer: 37, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4 + 16 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.16 - -0.56. What is the fourth biggest value in -2\/15, -3\/5, -0.01, l?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(450) + (sqrt(250)\/sqrt(5))**2 - 3*(0 + sqrt(72) + 4))*-4.\nAnswer: -152 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -209a - 7?\nAnswer: -20a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4055088?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3070 + -3107. Sort g, -3, 5, 0 in decreasing order.\nAnswer: 5, 0, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92460?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -2*y - y**3 + 6*y - 3 - y - y**2. Let q(s) = -s + 8. Let f be q(7). Let r(k) = 0 - 1 + 0 + k. Calculate f*p(t) - 3*r(t).\nAnswer: -t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4418146?\nAnswer: 2, 19, 233, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.78 - 0.38. What is the biggest value in 3, n, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -204.\nAnswer: -5\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**7\/2520 + n**6\/120 + n**5\/120 - n**4\/4 - 2*n. Let z(y) be the third derivative of m(y). What is z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-49)\/(36\/8 + -4). Suppose -47*v + 9*v = 38. Put v, t, 0 in descending order.\nAnswer: 0, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/459, -0.4, 0.888, -0.2.\nAnswer: -0.4, -0.2, -1\/459, 0.888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5597 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w. Let u(a) = 9*a**2. What is u(h(n))?\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56044?\nAnswer: 2, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46394597 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -5*o - 16, 0 = -4*o + 5*d - 13 - 23 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 45 divided by -3\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -43047 - -1\nAnswer: -43046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nunnurn. What is prob of picking 2 u and 2 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4787.99996419 + 4788. What is n rounded to 6 dps?\nAnswer: 0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6 and 19810.817488064?\nAnswer: 19816.817488064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*x - 53*x + 8*x = -1044 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 269*p**3 + 224*p**3 - 492*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d - 76 = -41*d. Which is the closest to d? (a) 8 (b) -0.3 (c) -19\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**6\/105 + d**5\/14 - 3*d**4\/14 + d**3\/3 - 2*d**2\/7 + 46*d. Solve r(t) = 0 for t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6282 - 5?\nAnswer: 6277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -724da (base 14) to base 13.\nAnswer: -9845a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d + 4 + 0*d - 9*d + 0*d**2 + d**2. What is the remainder when f(13) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m + 5. Let h be n(-6). Let r = h + 2. Suppose 0 = q - 5*y - r, 2*y - 1 - 36 = -3*q. What are the prime factors of q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 3*i**2 - 11*i - 21. Let v be y(12). Suppose -5*m + 14*m = v. Calculate the remainder when m is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3984)\/(-84) - (6\/14 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -20518, -9 in descending order.\nAnswer: -4, -9, -20518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + -1*sqrt(475))*4*-6)**2.\nAnswer: 432000*sqrt(19) + 6969600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 5120?\nAnswer: 5133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1038890167 divided by -5.\nAnswer: -1038890167\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3490.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3 - 9*f + 2*f + 2 - f**2. Suppose 13*o + 49 = -3. What is the remainder when 33 is divided by x(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -146*h**3 + 213 wrt h?\nAnswer: -438*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -18496+2853117\nAnswer: 2834621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -96, 39, -16 in decreasing order.\nAnswer: 39, 3, -3, -16, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-2)*((-7533)\/13020)\/(-27)\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o - 1. Let x = 46 - 44. Let p be (12 + -12)\/(6\/x). Determine f(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 5*n = 20, 509*p + 12 = 511*p - 3*n for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1584, 6420, 14500, 25830, 40416?\nAnswer: 58264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j - 1. Let p be l(1). Suppose 3*f + 2*f - 10 = 0. Find the first derivative of 6 - h**f + 3*h**2 - 2 - 4*h**p wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2276743521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918255371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 2. Let h(l) = -9*l - 1. Let t(v) = 3*h(v) - 2*z(v). Give t(3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r, 0 = -4*m + 6*m + 3*r - 27. Suppose 153 = 23*v - m*v. Solve 4*p - 7 = v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -260 and 21.\nAnswer: -5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33898057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 49196452087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1150104 + 3404?\nAnswer: -1142300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1392 and 1680.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 381.\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 2\/(-2)*237*-30886. Suppose 5*o = 3*k + 12200012, 6*k = -3*o + 2*k + u. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 527?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -5)*(-6)\/(-4). Determine t, given that -3\/2*t**2 - t + 0 + 0*t**r + 1\/2*t**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 9*i + 5. Let q be x(0). Suppose -q*y = -9*y + 16. Suppose 0 = s - 2*h - 51, -y*s = s + 4*h - 241. Is s a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*b*p*t**2 + 4*b*p - 169*b*t**2 - 1530514*b + p*t**2 + 3*p*t - 743*t**2 wrt t?\nAnswer: -56*b*p - 338*b + 2*p - 1486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 4*r**2 + 2*r + 1. Determine w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 3 + 2 = 0, 4*s = 3*r + 1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - u - 1. Let r(c) = 6*c**2 + c**4 - 74 + 4*c**2 - 7*c**2 - 6*c**3 - c. Let g(j) = -3*a(j) + r(j). Find the second derivative of g(t) wrt t.\nAnswer: 12*t**2 - 36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -38*q**3 + 5*q**2 + 5*q - 5. Let a(l) = 495*l**3 - 66*l**2 - 66*l + 66. What is 5*a(w) + 66*k(w)?\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 divided by -2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17133450.\nAnswer: 2, 3, 5, 17, 6719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p + 3*p - 2*p + 0 + 0 - p + (-2 + 1 - 1)*(-1 + 1 - p) + 0*p - p - p + 9 - 4*p - 5 - 3 + 496 - 102*p - 496 to b + q*p and give q.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -135 + 146. Calculate the least common multiple of t and 51.\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 369923122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**3\/15 - 6*y**2\/5 - 7*y - 160. Find o such that s(o) = 0.\nAnswer: -7, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/51, 3\/2, -6, -0.08, 14\/1947?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1120 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**5\/20 - 132*t**4 + 139392*t**3 + 911*t**2. Factor o(h).\nAnswer: 3*(h - 528)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105714863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1302467.8 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v - 719 = 31. What is the remainder when v is divided by 4\/6 - (-62)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(((sqrt(13) - -2*sqrt(13)*-5) + -2)**2 + (4*(1 + sqrt(13) + sqrt(13))**2 - (sqrt(1300)*-1)**2))*-5 + 4.\nAnswer: -616 + 1040*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -74 from 43.438.\nAnswer: 117.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 5959736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:46 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 607863.\nAnswer: 3, 202621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(405) + 4 + 4 + 3*sqrt(405).\nAnswer: 9 + 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**4\/3 - 3376*p**3\/3 + 87275*p**2\/3 - 586400*p\/3 + 167500 = 0. Calculate p.\nAnswer: 1, 10, 15, 3350","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, z: 5, o: 2}. Give prob of picking 1 o, 2 v, and 1 z.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, f: 1, p: 10, u: 1}. Give prob of sequence ud.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.076 - -0.0760039. Round b to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*k**3 - 544*k**2 + 545*k**2 + 10*k + 6*k**3 as n*k + w*k**2 + z + t*k**3 and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (27 - (8 + (16 - -14))) + -48\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((18\/(-100))\/3)\/(14\/(-70))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 7. Let k be s(-5). Let p(x) = -x + 2 + 0 - 1. Let o be p(-3). Solve 2*t = -o*j - k, 3*t - 5*j + 8 = 38 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 668.3641 days to nanoseconds.\nAnswer: 57746658240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 148*r. Let h(b) = -3*b. What is 5*h(i) + q(i)?\nAnswer: 133*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 544521919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 49*p - 686. Determine k(14).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 24. Let s be m(-10). Suppose x - s = -4. Let v be (-9)\/(-6)*10\/3. Solve v*n + x = -3*p + p, -6 = -3*n - 3*p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16219 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5848975 and 2200?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*f + 6, 2*v = -0*v - 10. Let n = 1\/47 + 91\/141. Which is the nearest to 0.1? (a) f (b) n (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 325 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**3 + 71*k**2 + 49*k + 78. Let c be m(-23). Solve c*l + 2793 = 2829 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-65) + 1\/(13\/119). Suppose -b*l + 13*l - 8 = 0. Suppose 3*k - s = 38, -l*k - 3*s = -0*s - 29. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4566214 from 0.4.\nAnswer: -4566213.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 1, i: 2, l: 2, e: 4}. What is prob of picking 1 i, 1 l, and 1 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 1 - 7. Suppose -u*d + 3*d = -50. Let k be (d\/(-8))\/(-5) - -1. Are k and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 28*z + 14. Let h be v(-15). Let g be 8\/(-2) - 56\/h. Is 0 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9124.2 to the nearest 10.\nAnswer: -9120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-14)*14*4\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 745 is divided by 152?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 + x - 1. Let o be y(1). Let a = 15 - o. Solve -a*s = -25, -4*u + s = -4*s + 21 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, c: 5, r: 7, e: 2}. What is prob of picking 1 c and 1 b?\nAnswer: 25\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/229 or 6?\nAnswer: -1\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-38)*-3 + ((-3)\/(-1))\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14625589 by -14625589.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, -3, 9, 3 in descending order.\nAnswer: 9, 3, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-8)\/b)\/b*b*b*b)\/b)\/(b\/b**1))\/(b**(1\/5)*b*(b**(-5)*b)\/b) assuming b is positive.\nAnswer: b**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.79 - 1.09. Which is the second smallest value? (a) 0.1 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 2123?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1324)\/(-9) + 1 + (-50)\/45.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(24)\/sqrt(3))**2 - (-1 + sqrt(4)\/sqrt(2) - 6*(sqrt(8)\/sqrt(4) - sqrt(2) - sqrt(2)))**2.\nAnswer: -67 + 14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11281 and 2.\nAnswer: 22562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40*r**2 - 8*r + 3047*r**3 - 438*r**2 + 9*r wrt r?\nAnswer: 18282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**2 + 24*c + 144.\nAnswer: (c + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 412, 2860, 5310, 7762, 10216?\nAnswer: 12672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 177*x**2 - 675*x - 2909. Calculate t(173).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 648633?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 10 (c) 2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756*b + 2571 + 1821 = 579*b + 1383 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 + 3*k**3 - 2*k**5 + (6*k**5 - 4*k**5 + 0*k**5)*(-12 + 3 - 5).\nAnswer: -30*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-120)\/(-35) - (-6)\/(-14). Put n, -1, 0 in decreasing order.\nAnswer: n, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 351.436083 rounded to 0 decimal places?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 27 = 72*k - 54*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10220 - -21211010?\nAnswer: 21222000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 252\/(-147)*(-14)\/6. Solve -m - 6 - 15 = -5*u, b*u = -m + 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 + 10*l**2 + 2*l**2. Let g(m) = -5*m. Let c = 5 - 2. Let u(r) = -4*r. Let b(f) = c*g(f) - 4*u(f). What is b(k(t))?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 r when two letters picked without replacement from erl.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-96)\/(-660))\/(6\/15).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, f: 1, u: 4}. Give prob of picking 1 f, 1 u, and 2 p.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28961713?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255783550 divided by 10.\nAnswer: -25578355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 + 3*w + 54 - 40 + 0*w**2 + 10*w. Let o be m(-15). Let a = o - 181. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 31*b - 740. Let g be w(24). Let q(a) be the second derivative of 0 - 10*a + 0*a**2 - 1\/12*a**g + 0*a**3. Let h(r) = -3*r**2. Determine h(q(s)).\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 2825620 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*d = 32 + 454. Calculate the greatest common divisor of d and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -5, -6, -101\/10?\nAnswer: -101\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 2, x: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*b + 29 = 0. Suppose -4*m + b = 5. Let a(j) = 3*j - 6. What are the prime factors of a(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 295080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/(-24) - 10\/(-4). Solve d*b = 4*b + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*(-1329)\/(-3101).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3931 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eue when three letters picked without replacement from {u: 2, e: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15629 is divided by 1115.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5607*j + 3*j**3 - 4932*j - 5603*j + 21746*j - 5604*j.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 1:07 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 - w**2 + w + 679. Suppose -9*s + 14*s - 4*s = 0. What is the hundreds digit of z(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 + 3507*z**4 + 1365390*z**3 + 176588100*z**2 - 177957000*z.\nAnswer: 3*z*(z - 1)*(z + 390)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 18*h**2 - 17*h + 6. Determine o(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by 6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263.3 + -263. Let s be -9 + 14 + 3*(-355)\/210. Put -4, h, s in decreasing order.\nAnswer: h, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19469608 a multiple of 254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.023, -0.1, 42, -2\/5, -0.3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -427*p**2 - 2977*p + 80. Give v(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 2*m**2 - 1. Let k be c(-1). Let u = -5.07 + 2.07. What is the third biggest value in 5\/3, k, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 9*q - 6. Let d be o(8). Suppose -16 = -2*u - d*u + 5*y, 0 = 3*u + 5*y - 47. Solve 2*h + 8 = f, 2*f = 5*h + u + 11 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) - 2\/12. Let i(w) be the second derivative of w + 0*w**2 + 0 + 1\/3*w**3 - g*w**4. Find k such that i(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5173527.194 to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -571960 or -571957?\nAnswer: -571960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 3*m + 2*m. Suppose 2*t = -g - 4, 2*g + 3*t + m = g. Let b(u) = -u**3 + u. Let c(s) = s**3 + s**2 - 2*s. What is g*b(k) + c(k)?\nAnswer: -k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6 + 3\/(26334\/(-51865)) and 103\/66.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 3*l**2 + 6*l + 1 + 4 + 0*l. Suppose -2*u - 31 = -11. Let x be -1 - (-5)\/(u\/6). Determine s(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + (58 - 93) + 45.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/((3*(-6)\/27)\/((-212)\/106)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3315\/585*1482\/221.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 29. Let z(q) = 7 - 1 + t*q**2 - 6. Let g(x) = 5*x. Give g(z(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -37 + 8189067?\nAnswer: 8189030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -795979269 at most as big as -795979269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 469\/(-7)*108\/81*1\/(-2)*3?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -106 - -171. Let t = k + -193\/3. Let v = 1 - 3. Which is the closest to v? (a) -2\/9 (b) t (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-13)\/(u*u*u**(-7\/4)\/u)*(u\/u**(1\/5))\/(u**(2\/7)\/u) assuming u is positive.\nAnswer: u**(-1503\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*q + 84 = 0, 0 = -t + 3*t - 3*q - 174. What is the least common multiple of 5 and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8 and -15\/4268?\nAnswer: 8536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 1)*1\/3. Let h be -2 - q*(-2 + 2). What is the remainder when 37 is divided by 26\/(0 - h - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 2. Suppose l*b = 28 - 1. Let a = -21 + 30. Calculate the highest common factor of a and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulw. What is prob of sequence ulw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (16\/60)\/(126\/(-105))*6*42\/(-7)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/168*12 - (-15)\/(-28). Let j = 29.57 + -5.27. Which is the second biggest value? (a) 2\/7 (b) i (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 57 = -381. Suppose 3*k - y = -75. Suppose -j + k = j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0385 - -3.8915. Let f = -0.77 - v. Let y = f + -0.3. What is the second biggest value in 3\/5, y, 2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5021859079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - y = -z - 13, -3*y + 4*z = 0. Find the common denominator of ((-10)\/(-255))\/(2\/(-129)) and (-2)\/10*(-12)\/y.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.04 or 3.7?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 875 and -1516705.75297.\nAnswer: -1515830.75297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + ((-105)\/(-5) - 3). Is 14 <= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**3 - 2*q**3 + 4*q**3 + (2*q**2 - q**2 + 3*q**2)*(-3*q - 2*q + 0*q) + q**3 + q**3 - 3*q**3.\nAnswer: -23*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -312 or 640?\nAnswer: 640","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175527 is divided by 128?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djqj when four letters picked without replacement from zdzlllddldqjjz.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = 3*d + 4*r - 56, 9*d + 6*r = -7*d + 136 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h**2. Let l(c) = 7*c - 3. Give l(b(i)).\nAnswer: 28*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:24 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/2 of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 3*r + 26 = 2*g, -3*g + r + 18 = 0. Is 2217 + 21 - (g - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -149, -4 in decreasing order.\nAnswer: 0, -2, -4, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 11. Let x = 3 - s. Differentiate 5 - 1 - x - j**2 with respect to j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i + 3*s = 87, -3*i + 148 = s. What is the highest common factor of i and 663?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + (-2)\/6 + 147\/9. Suppose -5*i = j - 5, i - x + 6 = -2*j. Suppose 2598 = 5*k + 3*a, 0 = j*k - 2*a + 103 - 2696. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x + 5*x + 4*u = -6, 0 = 4*x + 3*u - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-4 + (-1 - -9)). Suppose 0 = t*h - 7*h + 6. Solve 3*q - 13 = -2*j, 1 + 6 = h*q + j for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/17 (b) 5 (c) -865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (1 + 9 + -25 - 8).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41741550 by 5175.\nAnswer: 8066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 43?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 4*u + 267027, -95*u = -2*c - 97*u + 106818. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48744 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487 is divided by 157.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 3 + 2)*(-5 + 1 + 2) - 1 + 5 - 2 + 1 + 2 + 0 + 1 + 0 - 2)*(6*p**5 - 22 + 22).\nAnswer: 12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + j**2)*((2 - 2 - j)*(-4 + 0 + 0) + j - 8*j - 4*j)*(-5 - 1 + 4).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/(-6) - 3\/(-9). Let g = 2 - s. Solve -k = -a - 0*a - 1, 0 = g*a - 2*k + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 - 9*y - 17. What is q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 46452702 divided by 2122\nAnswer: 21891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 2 + -5 + -1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26325 is divided by 6581.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g + 8730 = 1080. Calculate the greatest common divisor of 30 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 41989163 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -105 + 47. What is the smallest common multiple of 15\/50*(8 - -2) and n\/(-8) + 2\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -25. Let g be ((-2)\/(-11))\/((-6)\/(-66)). Suppose -3*f = -g*f - 4*y - 5, f = -3*y + 5. Solve -f*l + l = -z for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -4 + (-3 - -13) - -56 and 6.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x**3 + 0*x**3 + x**3)*(4 - 15 - 14).\nAnswer: -25*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 8*h + 12 = -7*h, -2*i = -h - 3. Let u(m) = -1. Let w(q) = 17*q - 2. Determine i*u(d) - w(d).\nAnswer: -17*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 0 + 49990\/(-12). Let p = r + 4177. Find the common denominator of 73\/12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75 - -79. Which is the nearest to 0.2? (a) n (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) + (-5*sqrt(204)*-2 + sqrt(204) - sqrt(204))))\/(sqrt(1200)*3 + sqrt(12)) + -2.\nAnswer: -2 - 10*sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-one halves of a litre?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11134414 (base 5) in base 10?\nAnswer: -99359","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7326, 7327, 7328, 7329?\nAnswer: 7330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6727\/6 - 1112. Let d be ((-9)\/6)\/((-9)\/210). What is the common denominator of (-1)\/1 + d\/(-2) and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9080 to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033484um in nanometers?\nAnswer: 3.3484","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -29 - -104. Suppose 0*n - 8 = n - 5*f, -3*n = 4*f - 14. Let d = t + n. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**7*d)**(-2\/19) assuming d is positive.\nAnswer: d**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -8647*g + 5591. List the prime factors of v(-4).\nAnswer: 3, 59, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o + 20. Let c(y) = -7*y**2. Determine d(c(p)).\nAnswer: 14*p**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*n - 10*n - 46*n.\nAnswer: 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 351 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from fuuuffuuuufuuufuuu?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + sqrt(171)*-4 + -5 - 3*(4 + sqrt(171))*4)**2 + 5.\nAnswer: -185503 - 19584*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 22.02225\nAnswer: 88.089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**6\/120 - a**5\/15 + 5*a**4\/24 - a**3 + a**2. What is f(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/5*o**3 + 38\/5*o + 56\/5 - 17\/5*o**2 = 0. What is o?\nAnswer: -1, 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11843.6 from -0.005.\nAnswer: 11843.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (3\/18)\/((-4)\/16)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-9)*(-52)\/(-65)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1316963.\nAnswer: 1316963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 21*d. Let l(r) = r**2 + 9*r**2 - 14*r**2. Determine l(k(c)).\nAnswer: -1764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 5*n - 215, -176 = -3*c + 3*n + 199. Suppose c = 4*u + u. Let y = -11 + u. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*d + 38, 4*o + 2*d + 15 = -19. Let m be 16\/o*3\/(3\/(-10)). Solve -m = 13*a - 17*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**3\/2 - 809*t**2\/4 + 81*t\/4 = 0. Calculate t.\nAnswer: -81, 0, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*j - 13*j - 31*j - 54*j to the form a*j + n and give a.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3\/5 - 38*o**2\/15 - 14*o + 12\/5.\nAnswer: 2*(o - 6)*(o + 3)*(6*o - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20031320155 + 2?\nAnswer: 20031320201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6028 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/24 and -31\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73716, -590083, -1991632, -4720953, -9220636, -15933271, -25301448?\nAnswer: -37767757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473 + 1903*c**2 + 469 - 945.\nAnswer: 1903*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -0.2. Let h = a + 17.2. Let l = -16.00000136 + h. Round l to 7 decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.515, -3, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 + l + 9. What are the prime factors of g(-7)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -7, 39, 0.3, 1, 0.276, -1 in descending order.\nAnswer: 39, 1, 4\/5, 0.3, 0.276, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1756 or 1761?\nAnswer: 1761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*x**3 + x**3 + 3*x**3 + (-4*x + x + 5*x)*(-3 - 2*x**2 + 3) + 0*x**3 - x**3 - 8*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0596139051 - 2587.\nAnswer: -2587.0596139051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 - 167?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1486391 - 2?\nAnswer: -1486393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2.602\nAnswer: -5.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 0.2. Suppose 0 = 4*h - 33 + 13. Which is the closest to -2\/9? (a) h (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/15)\/j*((j**0\/j)\/j)\/j)\/((((((j**(-6)*j)\/j)\/j)\/j)\/j*j*j)\/(j*j**(3\/4))) assuming j is positive.\nAnswer: j**(353\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huhhhuuhhuhhu. What is prob of sequence uu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25957 and 2121?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -76*u + 458. Let l be d(6). Which is the second smallest value? (a) 102 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*a*j*z**3 + a*j*z**2 - 3*a*j*z + 7*a*j + 304*a + 8079*j*z**3 - 61*j*z + 2*j wrt z?\nAnswer: 60*a*j*z + 2*a*j + 48474*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/30797 and 19\/117?\nAnswer: 277173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -3*g**3\/2 + 13*g**2\/2 + 30*g. Does 4 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 314.9775 litres?\nAnswer: 314977.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4\/9)\/j**(-13)*j**1*j**(-1\/4))**(-5) assuming j is positive.\nAnswer: j**(-2395\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*(x\/(x*x**(-3)\/x))\/x)\/x)\/x*(((x**(-5)*x)\/x)\/x)\/x)**(-49))**(-4\/19) assuming x is positive.\nAnswer: x**(-980\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 440, 418, 366, 272, 124, -90?\n\"Answer: -2*v**3 - 3*v**2 + v + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(1377)*4*1)**2 + sqrt(1377)).\nAnswer: 27*sqrt(17) + 66096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 607828 and 572?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z + 6*z - z. Let x(o) = 49*o + 28*o - 74*o. Give x(t(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 100?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*u**3 + 554*u**3 - 469*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*u - 32. What is k in 9 - 22 + 7 - 5*k + k**u = 0?\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*m - 10 - 271 - 17 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -q - 22, 31 - 26 = -5*q - p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3230567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0197407 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 406812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -13*t + 12. Is q(-4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -182, -4 in descending order.\nAnswer: 5, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/(-6)*(-4 - -2). Suppose -a*k + 8 = -22. Let n(z) = z**2 - 4*z - 3. What is the units digit of n(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4758975?\nAnswer: 3, 5, 13, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -d + 17172, 11*q - 12*q + 5724 = 5*d. Suppose 11*l = -7*l + q. Is l a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 + x**3\/3 + x**2\/2 - x - 3032. Let u(f) = -63*f**3 + 56*f**2 + 56*f - 56. Calculate 280*p(d) - 5*u(d).\nAnswer: 35*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*s + 9, 0*s + 4*s + 9 = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938 is divided by 194?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 25. Let q be (4 - z) + -39 + (2 - 1). Let g = q - -53. Solve -2*p + g = p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 2*u**2 - u + 3. What is x(-3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/7 and 2 + (-16)\/(-22)*-2.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 24. Let b = 44 + -28. Let f be n(b). Solve 5*v - 4*c = -15, -5*v + 5*c = f + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48371 is divided by 23876?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4 - l**2 + 0 + 1 - 4*l. Let s be a(-4). Suppose s*o - 24 = 36. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -123\/383 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**7\/70 - 5*m**6\/8 + 34*m**5\/5 - 45*m**4\/2 + 547*m**2 - 4*m. Factor n(w).\nAnswer: 3*w*(w - 18)*(w - 5)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5*3*14\/35. Let h = 8 - j. Sort 0.5, h, -1 in descending order.\nAnswer: h, 0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -31. Let z be ((-24)\/7)\/(2\/(-14)). Solve o*m + z = 4*f, m = 7*f - 3*f - 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77885949 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 211701 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w - 5*o - 5 = 0, 12 = 2*w + 3*o. Solve -5*u = w*r + 26, 6*r = -u + 2*r - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f - 4*f - f**2 + 3*f**2. Let b be q(-1). Solve -2\/3*s**b - 2\/3*s + 4\/3*s**2 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.01, -5, -4, 4\/9, -1278.\nAnswer: -1278, -5, -4, -1, -0.01, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176, 188, 202, 218, 236, 256, 278?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923 less than -0.12185644?\nAnswer: -1923.12185644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -1\/24*n**4 + 1\/6*n**3 + 1\/120*n**6 - n**2 - 1\/60*n**5 + 0*n + 0. Find q, given that z(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 6*d + 23. Let y(h) = -h**2 + 6*h + 26. Let g(c) = -6*v(c) + 5*y(c). Calculate g(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 14*x**3 + 3*x**2 - 3*x + 11. Let q(p) = 5*p**3 + p**2 - p + 4. Let b(v) = 3*h(v) - 8*q(v). Let o be (-3)\/12*2*4. Give b(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1832035 - 3532033. Let j be y + (3 + -1)*-1. Round j to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t. Calculate v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 16 = -4*q, -12 = -f + 6*f + 3*q. Let z be 12*(14 + -12)\/16. What is the closest to z in f, -0.4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 296, 300, 286, 248, 180, 76?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -405*c**3 + 2*c**2 + 6*c + 4. Let i(h) = 406*h**3 - 3*h**2 - 9*h - 6. Determine -2*i(p) - 3*z(p).\nAnswer: 403*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -7*b + 11 - 12*b + 10*b. Let x(t) = 4*t - 5. Determine -6*d(n) - 13*x(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27525 divided by -5?\nAnswer: 5505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7925623*x**2 + 97363947?\nAnswer: 15851246*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u - 69. Let q be y(-19). Calculate the remainder when 178 is divided by (10\/(-1))\/(100\/q).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 35*x - 176. Let q be c(6). Calculate the highest common factor of 50 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 184, -5, 3 in ascending order.\nAnswer: -5, -1, 3, 4, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -4 + -15 + -13\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328209520 to the nearest integer?\nAnswer: 18117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56949*u = -56947*u - 126. Solve 0 = 717*d - 708*d + u for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 10 and -0.034367135?\nAnswer: 10.034367135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of -11*f**4\/8 - 1652*f**2. Give n(2).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2961b (base 12) to base 8\nAnswer: 161067","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -157*n + 96*n + 101*n + 600 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 (base 7) in base 16?\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.24 + 8.76. Let t = 8.84 - j. Round t to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5082 + -5082.000004726. What is v rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28647176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 4*u + 13 + 4*u**3 - 12 as o*u**2 + g*u + f + t*u**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 35*o - 527. Determine z(16).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8190277g to milligrams.\nAnswer: 819.0277","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**5\/13 + 76*a**4\/13 - 670*a**3\/13 + 1124*a**2\/13 + 144*a = 0. Calculate a.\nAnswer: -1, 0, 4, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 51 = -13*v. Suppose -v*n - 28*t + 18231 = -24*t, -18252 = -3*n + 3*t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-28)\/(-16))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 117, -1\/2, 2\/23 in descending order.\nAnswer: 117, 2\/23, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1628057 or 1628065?\nAnswer: 1628065","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -b**5\/20 - b**4 - 8*b**3 - 2*b**2 + 7*b. Let w(s) be the first derivative of j(s). Solve w(u) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19113 - -37564. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 + 13*v**2 - 74 + v - v.\nAnswer: 13*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 + 52.5. Let g = 19.5 - v. Which is the nearest to 0.1? (a) g (b) 4 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - 13257654?\nAnswer: -13257754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12255148\/226023 - -12369\/229. Let t = m - -12\/47. Which is the biggest value? (a) t (b) -0.1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 + 16*m**2 + 2*m - 270. List the prime factors of r(12).\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 4. Let r be w(7). Let d = 4 + r. Suppose -j + d = -6. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -57, -73, -91, -111?\n\"Answer: -f**2 - 11*f - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = v + 4*x, -2*x = 4. Calculate the greatest common divisor of 18 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -5, -1\/3, 373, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.35 + 41\nAnswer: 40.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 23 = 5*h + 4*k, -4*h - 2225*k - 16 = -2224*k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 o when three letters picked without replacement from {l: 9, e: 2, u: 4, o: 4, d: 1}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 38*v**4 - 7 + (0 + 0 - v)*(-2 + 2 + 2*v)*(1 + v**2 - 1).\nAnswer: 36*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 - 76 = -17*b - 5*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4652664ml to litres.\nAnswer: 0.0004652664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let q(u) = -2*u + 184. Give q(v(a)).\nAnswer: 4*a**2 + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 2*i - 124 = -5*i, -2*n + 48 = -2*i. Solve 0 = -4*w + n - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 8) in base 3?\nAnswer: 10020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14805842 is divided by 15536.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*p - 9, 0 = 6*y - 7*y - 5*p - 11. Let v be (y - (-1)\/2)*(23 - 23). Solve 7*r - 2*r + 10 = v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842?\nAnswer: 2, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1059 - 192*q**2 + 111*q - 1061 + 2120 wrt q.\nAnswer: -384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - (-9)\/7)\/(204\/(-119)). Put 0.365, l, -4 in ascending order.\nAnswer: -4, l, 0.365","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*w - 25 = 0, -25 = 3*w - 10. Suppose 6*k - 3 = r*k. Let i be k\/2*10\/(-9). Which is the closest to -2\/5? (a) i (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24*s**2*y**2 + 8*s**2*y - 4170*s**2 + 1729*s*y**2 - s*y - 3*s + 7*y**2 - 2*y wrt y.\nAnswer: 48*s**2 + 3458*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -279, -18, 409, 996, 1737, 2626, 3657?\n\"Answer: -f**3 + 89*f**2 + f - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-12) - 3\/1. Let n = 0.72 + -0.32. What is the nearest to -0.2 in n, 2\/15, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0 + 0)*(4 - 4 + 2) + 0 - 4 - 26409*o + 29327*o + 2.\nAnswer: 2926*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**5\/45 + 11*w**4\/24 - 4*w**3\/9 - 12*w**2. Factor y(k).\nAnswer: -(k - 8)*(4*k - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 960 is divided by 161?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2812758266.\nAnswer: 2, 20411, 68903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2131 + 300?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-20)*(-210)\/42*6\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -92? (a) 1 (b) -3 (c) -2313\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 69792*o*v - 20*o + 71*v**4 - 293002 wrt v?\nAnswer: 69792*o + 284*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 0)*(4 - 15*y - 4 + (4 + 2*y - 4)*(2 + 4 - 3) - y - 2 + 2) to c + x*y and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 1677*v + 70436. What is p(41)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1597136 is divided by 285?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, x: 1, w: 8, f: 3}. What is prob of sequence fl?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 7:06 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from hcroprrrrp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -692*o + 2773. Calculate m(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**4 + 182*i**3 - 4601*i**2 - 366368*i = 0.\nAnswer: -32, 0, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 + 2*h - 10. Calculate t(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**3\/7 - 1548*z**2\/7 - 575475*z\/7 + 9607984\/7 = 0.\nAnswer: -887, -677, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.42109 and 5.\nAnswer: -12.10545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 57. Solve -5*t = -b*k + 24, 24 = -3*t - 0*t + 5*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 47380480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*d**2*j - 2189055*d**2 - d - 92382938*j wrt d.\nAnswer: -28*d*j - 4378110*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493948 divided by 17641?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-12)*(-7)\/(252\/6)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10019, -19989, -29957, -39923, -49887, -59849?\n\"Answer: x**2 - 9973*x - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1549.\nAnswer: 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 89826, 359243, 808244, 1436829, 2244998, 3232751, 4400088?\n\"Answer: 89792*v**2 + 41*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-5)\/(sqrt(9) + (sqrt(9)*3*-3 - sqrt(9))).\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v + 3*i - 65 = 0, -i - 25 = -v. Let u(s) = -17*s + 289. Let f be u(17). Solve -5*k = -f*k + v for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 989, 983, 975, 965, 953, 939?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + -1 - (-1144 - -1146) - -18.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m - 36. Let l = 44 - 40. Let i(y) = -19*y - 108. Let c(v) = l*i(v) - 11*k(v). What is the units digit of c(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17666949969293 and -0.3.\nAnswer: 17666949969292.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a. Let p be q(-1). Let j = p + 7. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035 less than or equal to -49033?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -30 + o - 29 + 121 - 28 - 24 - 23. Let j = 6 - -5. Calculate d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -7. Let d = 0.02 - -0.38. Let c = -0.2 + d. What is the nearest to y in -0.4, c, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 14*m - 653 = 15*m, -2*u - 4*m = -304. Suppose -n = 116 - u. What is the greatest common divisor of n and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -0.93\nAnswer: 0.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 14*w + 53. Let q be m(-30). Sort q, 2, 7 in increasing order.\nAnswer: q, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeqqjeseees. What is prob of picking 1 q and 1 e?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 6036896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 224, -3, -5, 5, 4, -87 in descending order.\nAnswer: 224, 5, 4, -3, -5, -87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6652 (base 7) in base 9?\nAnswer: -3244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22563300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -74, -3 in decreasing order.\nAnswer: 1, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 1. Let x(k) = -3*k - 2. Suppose 7 = -3*d + 4*c, 0 = -3*d - 5*c + 13 + 16. Let i be (24\/9)\/(2\/d). Determine i*x(u) - 7*l(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.048 + -1.348. Which is the nearest to g? (a) 2 (b) 1 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2717 - 4*o - o - 2717.\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 406493189 to the power of 1\/2, to the nearest integer?\nAnswer: 20162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0038395701 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 + b + 126. What is p(-11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4524 + -30. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2651, -22256, -75767, -180140, -352331, -609296, -967991?\nAnswer: -1445372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4 - 151\/(-2). Suppose -4*h - h = -o. Solve 0 = -4*w + w - h for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - p + 12. Suppose 2*j = -2*j + 24. Suppose 2*u + 4*m = 1 - 9, -3*m = j. Solve -p*h + u*h - 8 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-14)\/(-3) - 2\/(-6). Suppose -20*f + 85 = -3*f. Solve 4*b - f*a - 15 = b, t*b = 2*a + 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 c, 1 r, and 1 n when four letters picked without replacement from qnqqcqir.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 1) + -26 + 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4909 is divided by 1631.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7988744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1456, -1452, -1448, -1444, -1440?\n\"Answer: 4*r - 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.8. Let s = 0.28851 - 0.18851. What is the closest to s in 1\/4, l, -0.3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(704) - (sqrt(704) - sqrt(704)*-2)) + 3 - sqrt(704))**2 + sqrt(704))*-5*-4*-6.\nAnswer: -48960*sqrt(11) + 2284200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 27*(1 + (-28)\/(-12) + -3). Solve -10*a = -7*a - s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 47.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 164, 360, 624, 950, 1332?\nAnswer: 1764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/6)\/((-2)\/(-42)). Let o = -2 - t. Suppose -r = o*v - 31, -r = v - 5*r - 23. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 1081835*u - 1081647*u - 1 - 2 as r + t*u and give t.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1085 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 986\/272 + ((-108)\/(-32) - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 28*w + 167. List the prime factors of y(37).\nAnswer: 3, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 28 (b) -1353 (c) 3 (d) -1\/3 (e) 1 (f) 2\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -1\/38008383?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 7*o = 3*o. Sort o, 5, 6, -2 in descending order.\nAnswer: 6, 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.6 or 11814\/7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*r**3 - 96*r**3 - 4*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 - 9*i**2 - 31*i - 60. Let p be o(12). Which is the closest to 0? (a) 3\/2 (b) 2 (c) p (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -168906 = -168908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.5996865 to zero decimal places.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 998097, 998096, 998095, 998094, 998093?\n\"Answer: -b + 998098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3603 - 44123?\nAnswer: -40220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 208*s**2 + 248*s**2 + 205*s**2 - 869*s**2 - s**3 + 208*s**2.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -235 - -230. Let y be -2496*s\/(-5 - -15). Calculate the highest common factor of y and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371\/(3*(-3)\/(-45)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.79*156.7.\nAnswer: -2630.993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nllb when four letters picked without replacement from {b: 6, s: 2, n: 2, l: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.023 + 1.977. Let r(o) = -o**3 - 3*o**2 + o + 9. Let w be r(-3). Suppose -d - 2*d = -w*d. Which is the closest to -2? (a) 2\/9 (b) i (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6207\/117 + 3\/9. Let s be 3345\/78 - 1\/5. Let q = p - s. Calculate the common denominator of q and -5\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10983\/164 or -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*t + 18*t + 2 + 16*t - 51*t in the form s*t + f and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*k**3 - 96*k**3 + 9373*k - 9374*k.\nAnswer: -17*k**3 - k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3 - 5 = 0. Suppose j*h = 4*h - 74. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0441*3158070\nAnswer: -139270.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 263*q**2 - 632*q + 96947. Calculate r(262).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*u + 5. Let v = -9 - -1. Let h = -13 - v. Which is the closest to u? (a) -3 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 3*p + 17. Let h(y) = 23*y**2 + 11*y + 3. Let v(j) be the first derivative of -8*j**3\/3 - 2*j**2 - j + 52. What is p*v(i) + 6*h(i)?\nAnswer: 2*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -1.3, 66, 3, -1, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**2 - 2*t**2 - 4*t**2)*(1 - 2*t**3 - 1) + 3*t - t**5 - 3*t + (5 + 2 + 1)*(-6*t**5 + 2*t**5 + 3*t**5).\nAnswer: -5*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r - 37. Let t be v(21). Suppose g - 1607 = -2*h, -5*h + 6*g + 4031 = 4*g. Suppose n - 185 = -b + 6*b, -t*n = -b - h. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -7, -32, -135, -340, -671, -1152?\n\"Answer: -4*d**3 - 3*d**2 + 66*d - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -47*g + 2260. Let w be k(48). Solve 4*t + r + 10 + 2 = 0, 4*t = w*r - 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 - -32. Calculate the greatest common divisor of 24 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001240683 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124617 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.9 less than 5825?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5641 (base 7) to base 11\nAnswer: 1593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-12580)\/108 - 8\/(-18). Let m = 1.2 - 0.2. Is z smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2609 = -4*s + 5*i, 0 = 3*s + 3*i - 527 - 1423. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47053\/12 - 3912. Let q be (-20)\/54*284\/32. Let v = q - -208\/27. Calculate the common denominator of f and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1596\/505 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/(-3)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(736\/(-138)*6\/(-8)). Let a be (-42)\/(-19) - (2 - 0). Are a and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 - 6*q - 6. Let s be v(-5). Let z be (2\/6)\/(s\/2). Which is the third smallest value? (a) -1\/10 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d**2 - 15*d - 17. Let f(t) = 4*t**2 + 7*t + 10. Determine -5*f(x) - 3*h(x).\nAnswer: -2*x**2 + 10*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 5 = -x, 16 = 3*x + f + 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/(c\/((((c\/((c*c*c**(-6\/7)*c*c*c*c)\/c))\/c)\/c)\/c)))\/(c\/(c**(-1)*c))**(-39) assuming c is positive.\nAnswer: c**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -30. Let s(f) = 23*f - 5. List the prime factors of s(o).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*j + 112 = -0*j, 0 = -3*h + 3*j + 63. Calculate the least common multiple of 6 and h.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 21. Let a be -4*u\/(-30)*(-10)\/4. What is the tens digit of -3 + 556\/24 - a\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -i. Suppose -f + 2*h + h - 10 = i, 4*h - 16 = 0. Solve -3*s = 2*m - 7*s - f, 0 = m - 3*s for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*m - 3 - 12*m + 56*m in the form l*m + k and give l.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 e when four letters picked without replacement from sppgssoocecppgee?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + (-15)\/(-6))*-2. Let z = y - -4. Solve -5*c - z = 7 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 900*y + 40500.\nAnswer: 5*(y + 90)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -38675.\nAnswer: 1\/38675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -4. Let y = c - -3. Suppose -78 = -k - y*k. Solve k = -5*x + 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**4\/2 + 2*y**3\/3 - y**2 - 2*y - 59. Let a(o) = -2*o**3 + 3*o**2 - 3*o - 3. Calculate 2*a(x) - 3*f(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4549485?\nAnswer: 3, 5, 303299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i + 8. Let o be g(-8). What is the second derivative of 32*y**3 - o*y**3 + 4*y + 3*y**5 wrt y?\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5023351733?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**3 - u**2 + 5*u**3 - 16*u**3 + 0 + 1. Let o be c(-1). What is the third derivative of -12*g**2 - 2*g**3 - 6*g**3 + o*g**2 wrt g?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 2*t + 0 - 1)*(3 + 4 - 2 + (-3 + 2 + 3)*(-2 + 2 + 2)).\nAnswer: 27*t - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -31317*f**2 - 11369.\nAnswer: -62634*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-2)\/w))**(2\/3)\/(w**0*w\/((w\/(w*w**2)*w)\/w*w*w)))**37 assuming w is positive.\nAnswer: w**(185\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and ((-1932)\/(-304))\/3 + -3.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -103, 349, 2, 0.1?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510174822?\nAnswer: 2, 3, 23, 3696919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31996225 to the nearest integer?\nAnswer: 5657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 306, 274, 242, 210, 178?\n\"Answer: -32*p + 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/45637 and -163\/1410?\nAnswer: 1369110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 16.9715+-0.55\nAnswer: 16.4215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 71*f**2\/2 - 10*f - 1. Is a(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (10 + -10 + 9) - -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37\/2 - -113\/6. Let k = 2.9 + -3. Let l = k - -0.3. Which is the closest to -0.1? (a) 1\/6 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.02 (b) 23845 (c) 2 (d) 0.4 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 414\nAnswer: 1\/207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 222 and 4?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - h**2 - 6*h**2. Let q(x) = -2*x**2 - 9*x. Let l(f) = f**2 + 4*f. Let a(s) = 9*l(s) + 4*q(s). What is a(n(m))?\nAnswer: 25*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -1\/3*v**2 - 2\/3 - v = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**2 + y - 1. Let z = -7 - -5. What is the tens digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -925697*s**2 + 11*s - 6*s**3 + 925697*s**2.\nAnswer: -6*s**3 + 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3 + 11 = 0. Let w be (2\/(-14))\/(2\/(-4)) + 3\/63. What is the closest to -1\/2 in u, -0.6, w?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2*w**2 - 3*w + 1. Let z be n(2). Suppose r = 2, z*p - 128 = 3*r - r. Suppose 0 = -11*d - 0*d + p. Solve 5*g + 5 = d*g - c, 2*g - 4*c = 14 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 8, z: 3}. Give prob of sequence wwz.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m**3 - 1\/60*m**5 + 0*m**4 + 0*m + 0 - 4*m**2. Let l(z) = -8*z. What is l(x(p))?\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 67 (b) 5\/4 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(3\/5))**(4\/41)\/(d**(10\/3))**0 assuming d is positive.\nAnswer: d**(28\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.184 - -10.184. What is the nearest to -1 in -2\/7, 206, o?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*b**2 - 2*b**3 - 5*b**3 - 9*b + 4*b**3 + 2*b**3.\nAnswer: -b*(b + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012675 is divided by 315?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d - 3 + 3)*(607 - 3602 - 619)*(-d + 0*d + 0*d + 1) in the form a*d**2 + k + y*d and give y.\nAnswer: -7228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -4 + -3 - 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyofyf. What is prob of sequence ff?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262 - ((-159)\/(-106) - (-14)\/(-4)) is divided by 42?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 + k - 1. Let h(g) = 5*g**4 - 3*g**3 - 3*g**2 + 3*g - 4. Let o(s) = -3*c(s) + h(s). Find the first derivative of o(v) wrt v.\nAnswer: 20*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 4*s + s)*(-3*s**2 + 3*s**2 - 2*s**2) + 8*s + 10*s**2 - 10*s**3 - 11*s**2 - 7*s.\nAnswer: -16*s**3 - s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2392\/7038 - 2\/9.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3104320 + -234?\nAnswer: -3110104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) 1498 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -2*o + 4*h, 0 = 84*o - 89*o - 5*h - 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**3 + 31 + 29*m**3 + 42 - 73 + 52*m**3.\nAnswer: 74*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 165 - 185 = 6*l, 637*i + 15 = 634*i - 8*l + 9*l for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of -2\/45*q**6 + 0*q**2 - q + 0 - 1\/9*q**4 + 1\/18*q**3 + 1\/10*q**5 + 1\/126*q**7. Factor i(d).\nAnswer: d*(d - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g*o**2 - g*o - 686*o**2 wrt g.\nAnswer: -5*o**2 - o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6)\/(-10) - (-3062)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (-3 - (-3 + -13)). Let s be (-2)\/10 - (-12)\/v. Let b(p) = p**3 - 6*p**2 + 2*p - 8. Let c be b(6). Do s and c have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 58 = -11*n. Let a be 3*-2 - (n + (5 - -1)). Let k be 5 - (4 - 0) - (-4)\/a. Sort 0.1, -3, 52, k in decreasing order.\nAnswer: 52, k, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**4\/13 - 16*m**3\/13 - 2*m**2 - 12*m\/13.\nAnswer: -2*m*(m + 1)**2*(m + 6)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.21 - 0.21. Let h = 11.8 - -0.2. Let v = h - u. Is v greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 74 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1732, -4, 4, -3, -18 in decreasing order.\nAnswer: 1732, 4, -3, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q - 4. Let o be m(-4). Suppose -n = -10 - o. What is the least common multiple of 22 and n?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 6*d - 4. Let y = 0 + 3. Is 12 a factor of r(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*r**3 - 26*r**2 + 58*r\/3 - 10\/3.\nAnswer: -2*(r + 5)*(3*r - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9562 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(200)*-1 + sqrt(200))*-1)*-4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/21 - 18*a**2\/7 + 208*a\/21 + 88\/7.\nAnswer: 2*(a - 22)*(a - 6)*(a + 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**4 + 41*k**4 + 2*k**4 + (-2*k - k**3 + 2*k)*(-k + 4*k - k).\nAnswer: 53*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206*x - 208*x + u = -7332, -3*x - 2*u + 10977 = 0. Calculate the highest common factor of x and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/66)\/(10*5\/(-450)). Which is the third biggest value? (a) 2\/15 (b) -3\/7 (c) u (d) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 + (-68 - 89) + (2 - (-6 - (1 - 2))).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 26 (b) -1830 (c) -0.3 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3091777*i**3 + 3595*i**2 - 139*i wrt i?\nAnswer: -18550662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53566443?\nAnswer: 3, 7, 850261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4701 in 0.3, -5, -2, -3\/8?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1517565 divided by -7\nAnswer: 216795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (15\/(-10))\/((-1)\/166)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*f = -1670 - 2992. Solve f + 134 = 22*g for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + 98 - (0 - -1). Let d = -44 + w. Does 21 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 6*l + 17949. Let f(w) = 8*w. Calculate p(f(r)).\nAnswer: 48*r + 17949","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 203*k**2 + 6864*k + 42. Is x(41) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 288318080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*h - 33*h = 20. Let p = -11 - -13. Let g = p - h. Let s(r) = -r + 7. What is s(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/2 in -3\/5, 3596\/371, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -498672, -4, -1, -0.4 in decreasing order.\nAnswer: 0.5, -0.4, -1, -4, -498672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14126, -14125, -14138, -14171, -14230?\nAnswer: -14321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.331793 decades to millennia.\nAnswer: 0.03331793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 160392123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -332 - -392. Suppose 0 = 5*w - 3*w - 4*n - 34, 2*n + 68 = 4*w. Calculate the remainder when k is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-68))\/(-1) - 150\/4080*1388\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-9))\/(168\/63)*3*7\/(-1).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1108 and 26869?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 10) to base 12\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.014\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9127149 by 8.\nAnswer: -9127149\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 144, -5, 16 in decreasing order.\nAnswer: 144, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wn when two letters picked without replacement from {c: 2, j: 1, n: 1, g: 2, w: 7, m: 4}.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40409 (base 15) to base 3\nAnswer: 101100000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**2 + 4. Let f be u(-3). Let n = 18 + f. Suppose 2*l = l + n. Solve -2*h + 3*h = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5*c + 5*c - 4*c - 9*c. Let k(m) be the third derivative of m**5\/60 + 26*m**2. Calculate g(k(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1819 - 0.03363.\nAnswer: -1819.03363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/35 + 360\/14. Let s(k) = 7*k**2 + 1. Let i be s(1). Let c be (-1 - 1)\/(i\/(-260)). Calculate the highest common divisor of c and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 25 + (-38 - -50)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29220 rounded to the nearest 1000?\nAnswer: -29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10110100011100 (base 2) to base 3\nAnswer: 120211201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133333872?\nAnswer: 2, 3, 7, 97, 4091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3 + 14657520*u**2 - 26855434856250*u + 268552882812500.\nAnswer: -2*(u - 3664375)**2*(u - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.6 + -44. Sort 0.5, d, -0.3, -0.1 in descending order.\nAnswer: 0.5, -0.1, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 64*y**5 + 21728*y**4 + 1042468*y**3 - 149016212*y**2 - 74702212*y - 9345836 = 0. Calculate y.\nAnswer: -199, -1\/4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2026, 1572, 1118?\n\"Answer: -454*l + 2480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g**3 - g**2 - 2*g. Let i be l(-1). Let a(z) = -11*z**2 + 6*z - 12. Let x(c) = c**2 + 1. Let o(b) = i*x(b) - a(b). Is o(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16056218 (base 9) in base 7?\nAnswer: 125034530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 = 0, -5*n + 2*i = 5*i - 1. Solve 8*z - 7*z = -a + n, 5*a + 3*z = 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*p**2 + 41620*p + 423608.\nAnswer: 38*p + 41620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8e7 + -14d3f?\nAnswer: -14458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 7 - 9 - 1406*w**2)*(-4 + 4 - 1) to the form z*w**2 + q + r*w and give z.\nAnswer: 1406","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 1. Suppose 6*j - 52*j = 5*j + 255. Sort y, 2, -6, j in increasing order.\nAnswer: -6, j, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33*(-3)\/27)\/((-99)\/(-1269)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 636, 1270, 1904, 2538, 3172?\n\"Answer: 634*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4333779 is divided by 197.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 + (-7504)\/140)\/((-16616)\/155).\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -26*s - 34. Let q be p(-1). Which is smaller: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111 + -11010101111111100010011?\nAnswer: -11010101111111011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 4, 3\/10, 2\/775?\nAnswer: 2\/775","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 21, -17 in increasing order.\nAnswer: -17, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4964004 is divided by 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**4 + 176*x**3 - 2548*x**2 + 14760*x - 28512 = 0. Calculate x.\nAnswer: 4, 9, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*x = 5, -4*w - 4 = 4*x - 24. Let v = -1448 + 1505. What is the lowest common multiple of v and w?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2460 + -14765\/6. Let n = 3.6 - 4. What is the third biggest value in n, -1, y, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 2*a + 0*a - 3*a - 498.\nAnswer: 3*a - 498","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 3\/1514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from ofixh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -219 and -219 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 660\/(-1755) + (-12)\/(-78). Which is the closest to -1? (a) w (b) -0.4 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -2*c - 8. Let h be (c\/(-6))\/(4\/24). Suppose -3*d = -h*i + 2*d, -6 = 2*i - 4*d. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -3, 59?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 370 divided by 74?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1321 (base 4) to base 14.\nAnswer: -89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/5)*l\/(l**(1\/10)\/l))**(-2\/153))**(1\/2) assuming l is positive.\nAnswer: l**(-5\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54393721 to the power of 1\/2, to the nearest integer?\nAnswer: 7375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 170133*v**2 - v - 12. Let z(y) = -3*y. Determine g(z(b)).\nAnswer: 1531197*b**2 + 3*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 9655*h + 661135. Determine o(-70).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -3. Let x = -0.1 + p. Suppose r + r = 0. Which is the biggest value? (a) r (b) -1\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -526, -3, -31 in increasing order.\nAnswer: -526, -31, -3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -23*g + 52 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2868366 to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/25 (b) -0.1 (c) 4 (d) 0.4 (e) 3.09 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(20) - sqrt(20)*3*-5)\/(sqrt(10) - 4*(sqrt(40)\/sqrt(4) + sqrt(10))).\nAnswer: 96*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-808)\/36*-3 + -2)*(14 + (-2668)\/203).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v + 3*m + 7, v = 3*m - 0 + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.8298um in millimeters?\nAnswer: 0.0298298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11734077 - 11734043.156116. Let w = v + -26.84388. Let d = -7 + w. What is d rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 <= 2.7403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let x(p) = -29*p - 13. Let b(l) = 7*l + 3. Let g(u) = -26*b(u) - 6*x(u). Determine g(f(o)).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -4*l - 197*x + 195*x - 19, -x - 55 = 10*x for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/2 + 0)*(-4 - -4). Is 12 a factor of (-1)\/((o + -1)*(-9)\/(-1251))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1, 3381 in ascending order.\nAnswer: -1, 3, 5, 3381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w**2 + 93*w + 484. Let r(s) = 14*s**2 + 140*s + 726. Let v(l) = -8*b(l) + 5*r(l). Determine a so that v(a) = 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12\/13 + -61\/52. Suppose -2*u + 4 = 0, k - u - 4 - 46 = 0. Let d be 5 + (-247)\/k + 81\/12. Is d >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 22*m**2 + 12*m + 12. Suppose -3*u - 4 = c, -3*c - 2*c = 5*u - 10. Let s(p) = 9*p**2 + 5*p + 5. Give c*i(v) - 12*s(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 10. What is the smallest value in q, 4, 0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-54)\/45)\/(-6) - 269\/20 and -63\/164.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v**3 + 8*v**2 - 69*v - 238. Determine n(-4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q - 1. Let p(f) = 3*f + 1. Let i(n) = 3*k(n) + 4*p(n). Determine i(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q - 3. Let v(l) = -6*l + 3. Let g(k) = -7*a(k) - 6*v(k). Let s(n) = n**3 - 10*n**2 + 8*n + 5. Let f be s(9). What is g(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2499 and 3381?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 2 + (-5 + sqrt(1300) + -4 - (-4*sqrt(1300) + -4))*6 + -3)**2.\nAnswer: -20400*sqrt(13) + 1171156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 155940 - 1110 = 0. Does 8 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 + -1?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40850*i**3 + 4463 - 4463 - 40854*i**3.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 882*n - 880*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 + 2 + 8 + 37. Let d = b + -6. List the prime factors of d.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116665 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/120)\/((253\/(-385))\/23)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 - 28*g**2 - 219*g - 12. Let y be t(-9). Calculate the highest common divisor of 2415 and y.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 571788 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 936 is divided by 333?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 = -r - g - 211 - 208, 3 = -2*g + 7 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-50)*1150\/345\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20890 = 351*z + 1151*z + 6146 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 2*b - 5. Suppose f + 3*m - 16 = 0, -m - 17 + 1 = -b*f. Factor -8*r - 5*r**2 - 5*r - f*r + 2*r.\nAnswer: -5*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/4 + 3 + 0. Let q(w) = -9*w**3 + 166*w**2 + 93*w + 62. Let j be q(19). What is the greatest common factor of o and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415*g = -1064*g - 2027*g - 34788 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -203*q + 1812. What is t(9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30) - (2*59\/(-60) - -1)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 0 - 4 + 3. Give b(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 5405\/186 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.1 - -65.9. Let t = -175 + y. Let d = -99.4 - t. What is d rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 6820.\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -2225214222?\nAnswer: 2225214225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -2. Suppose 2*a = 2*s + 14, 0 = -21*s + 18*s + a - 17. What is the third smallest value in 20, s, r?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 + 50\/30. Suppose w*s - 2*t = -4 + 20, 4*s - 7 = -t. Suppose 2*k + 3*k + 40 = -s*j, 0 = -3*j - 15. Put k, 5, 1 in increasing order.\nAnswer: k, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {g: 1, n: 5, c: 3, k: 1, d: 2, t: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140394 divided by -85?\nAnswer: 67082\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40093, 80416, 120767, 161146, 201553?\nAnswer: 241988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 96480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m\/(((m*m**(-14)*m)\/m)\/m)))\/m*m**(-2)*m**(2\/33)\/(m\/(m**(-1\/21)\/m)))**27 assuming m is positive.\nAnswer: m**(-41553\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(171) + sqrt(19) + (sqrt(57)\/sqrt(3) - sqrt(19)) + 1)**2 + sqrt(475)*-2 + sqrt(475) + sqrt(475) + sqrt(95)\/sqrt(20).\nAnswer: 49*sqrt(19)\/2 + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31233511 - -2?\nAnswer: 31233513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 - 5*s + 4. Let g be k(1). Calculate the remainder when (-1085)\/g - 2\/(-6) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1 - 56056.52.\nAnswer: -56055.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2277965 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 4*i**2 + i + 10. Let x be f(3). Suppose -q + 2*y = -9, y - 18 = -x*q + 3*y. Factor 2\/7*w**q + 4\/7 + 8\/7*w**2 + 10\/7*w.\nAnswer: 2*(w + 1)**2*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30 - -51. Let x(z) = -2*z**2 + 23. Let i be x(7). Calculate the remainder when n is divided by -4 + 11\/((-55)\/i).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -219\/4, -2\/1207, 3\/7, -5, 1?\nAnswer: -219\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.021 + -0.251. Round y to 2 dps.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4 + 2*n**3 - 10*n**2 - 6 + n**3 - 2*n**3. Let t be r(10). Let g = t + 8. Solve -2*f - g = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2451 and 258?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 + 86*w**2 - 838*w + 754.\nAnswer: -2*(w - 29)*(w - 13)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1327 - 1318. Which is the smallest value? (a) j (b) -0.6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(325))*6 + 5.\nAnswer: 35 + 30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**5 - 7021*k**4 + 23179802*k**3 - 115779604*k**2 + 185185544*k - 92578720 = 0. Calculate k.\nAnswer: -9470, 1, 2, 2444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 44 = 3*l - 3*g, 3*l + 2*g + 27 = 0. Let o = 8 + l. Is 3\/5 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32\/161 - -2\/23. What is the second biggest value in 2\/15, m, -4, -1\/2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 940 and 6950.\nAnswer: 653300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -18678 divided by 6\nAnswer: -3113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -71, -68, -55, -26, 25, 104?\n\"Answer: x**3 - x**2 - x - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - 12*r + 1. Determine a(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2 - 0. Let q = 3 - n. Suppose 2 + 0*t**2 - 4*t - 3*t**q + 5*t**2 = 0. Calculate t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.025 plus -94.6?\nAnswer: -95.625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 36f52 + -3a4?\nAnswer: 36bae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 750*k + 3200. Calculate p(-5).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 219051387 to the power of 1\/3, to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*i**2*x**2 + 60427*i**2*x + 54*i*x**2 + 9*x**2 wrt x.\nAnswer: 16*i**2 + 108*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65210?\nAnswer: 2, 5, 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.7562338 milligrams?\nAnswer: 0.0000007562338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that q**2 + 941*q - 2060240 = 0.\nAnswer: -1981, 1040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-13)\/2 - -6) + (-2)\/(-4). Solve o - p - 7 = t, 3*o = -o + 3*p + 24 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5192 divided by 118?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 307 - 346. Let t = m - -348. What are the prime factors of t?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Is 72829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9101427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -36? (a) 5 (b) 47 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42 + 46. Let j be ((-16 - -2) + -2)*-1. Suppose c + 4*x - j = 0, 2*c + 2*x + 4 = 18. Solve -c = -0*f - b*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 624022055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1175217 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 + -10 - -26) + -25 - -15?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -144104, -3, 2, 3 in ascending order.\nAnswer: -144104, -3, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*z**3 + z + 3*z - 4*z - 471*z**3 + 350*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/946740 and 61\/62?\nAnswer: 946740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -2) + 7 - (12 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15748246673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 1. Let l = -315 + 348. Suppose n*i + l = 8*i. What is the remainder when 30 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 107 - 132, -11537 = -3*d - 5*t. What are the prime factors of d?\nAnswer: 2, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/4 - (-315)\/18. Let x be 1\/5 + m\/10. Suppose -3*h - v + 1 = 0, h + h - 5*v = 29. Solve 0*g - x = h*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 91 + 27 = 2*y, -c - 146 = 5*y. Let b(k) = -5*k**3 + k**2 - k. Let f be b(-2). Let q = f + y. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.62 + 0.02. Let p = -15.8 + 0.8. Let v = p - f. Which is smaller: v or 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/3)*i)**(-35)*i**1\/i**(-2\/43))**(-32) assuming i is positive.\nAnswer: i**(43840\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of 0*p + 0 - 5\/24*p**4 - 20*p**2 + 1\/60*p**5 + 5\/6*p**3. What is the remainder when y(9) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -s + 3365, 0 = 6*y - 4*y + 2*s - 2250. Let j be ((-2)\/15 - y\/(-6150))\/7. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/((5 - (-12162)\/(-2430))*-5). Let z = c + 777. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*z - 8, 16 = -5*z + 1. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405658649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17832 divided by 2.\nAnswer: -8916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -58905 divided by -554\nAnswer: 58905\/554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(168))\/sqrt(4) - (sqrt(504)\/(sqrt(24)\/sqrt(2)) - sqrt(42)))\/(sqrt(6) - (sqrt(108)\/sqrt(6))\/sqrt(3) - (sqrt(600) + 2*sqrt(600))).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ijdsdjjosse.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 6:26 PM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/21*(-630)\/350?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 30.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25\/2 - 12. Let q be (8\/6)\/(43\/(-9)). Let f = q - -170\/301. Which is the nearest to 1? (a) j (b) 1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/((-2)\/(-8))*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 331\/6. Which is the closest to 2? (a) -0.3 (b) -4 (c) -1\/5 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -3.4. What is the nearest to -0.1 in -2\/9, u, -0.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 34. Suppose 2*n = -3*c - 38, 7*c - 3*c = -5*n - s. Let l be 2 + ((-48)\/(-20))\/((-4)\/c). Let h(d) = d**3 - 7*d**2 - 9*d + 2. Calculate h(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 24*q - 28. Let v be y(10). Let t = v + -126. What are the prime factors of t?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012 - 10101201220112?\nAnswer: -10101201212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/(-3))\/((-1)\/(-279)). Let h be -3*(b\/9 - -1). Suppose 4*u - 73 = -5*d + h, -94 = -3*d + 5*u. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 179, -66, -637, -1714, -3477, -6106, -9781?\nAnswer: -14682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 6*x - 7. Let z be 15\/(-40) + 177\/24. Let n be y(z). Determine k so that -1\/2*k**2 + 1\/2 + n*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3014 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -92.052 + -67998.75\nAnswer: -68090.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -749462816, -749462817, -749462832, -749462867, -749462928, -749463021?\n\"Answer: -k**3 - k**2 + 9*k - 749462823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 5590800*i - 1562852232000.\nAnswer: -5*(i + 559080)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 347862 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 j when three letters picked without replacement from {r: 1, t: 1, k: 1, j: 1, a: 2, i: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.57 + -0.03. Let q = r + 1.9. Let b = -2 - q. Are b and 0.2 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 14*i - 6)*(1204 + 1036 - 2980 - 7464).\nAnswer: -114856*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 58432 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 3*a**2 - 3*a - 3. Suppose -4*t = -0*t + 8. Let c be h(t). Let q = c + 36. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501169893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 - 8*y**2 + 8*y - 5. Let n be j(-9). Suppose -x = 3*m - 6, m - 15 = -2*x - n*m. Does 3 divide 66\/x - (-6)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and 8303777824011.\nAnswer: 8303777824011.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*l**2 + 1912*l**3 - 13*l**2 + 18*l**2 + (-5*l**2 + 0*l**2 + 3*l**2)*(l + l + 0*l) - l**3 - 2 + 2.\nAnswer: 1907*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-17) + 1 - 438\/(-7446). Suppose 5*j - 3*d - 23 = d, 2*j = -3*d. Solve v = -j*a + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 9, -42, -2, 6, 0.\nAnswer: -42, -5, -2, 0, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73600085, 73600091, 73600097, 73600103?\n\"Answer: 6*i + 73600079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2210928 and 25\/35374848?\nAnswer: 35374848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**4 - 3*j**4 + j**4 + (-142*j**3 - 192*j**3 - 203*j**3 + (2*j + 2*j - 3*j)*(2 - 2 + 2*j**2) - 4*j**3 + 0*j**3 + 5*j**3 - j**3 + 2 - 2)*(2 - 2 + 2*j).\nAnswer: -1072*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -46, -123, 1.\nAnswer: -123, -46, -8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4 + (-8484)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 18*h + 21. What is p(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000191543115 to seven dps.\nAnswer: 0.0001915","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(330)\/(-1*sqrt(10)*6))\/(4*(sqrt(3) + (sqrt(3) - sqrt(15)\/sqrt(45)))*-4).\nAnswer: -sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x - 3*x + 6*x - x + 5. What is the tens digit of q(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieei when four letters picked without replacement from iieeeee.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121194.\nAnswer: 2, 3, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 305773*m**3 - 84*m**2 + m**4 + 305773*m**3 to the form d*m**4 + g*m**3 + i + p*m**2 + l*m and give p.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -25*x**2 - 3231*x - 325. Determine c(-130).\nAnswer: -2795","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124*h*q*y + h*q + 158137*h*y - h - 56*q*y - 26358*q - 4*y + 2 wrt h.\nAnswer: 124*q*y + q + 158137*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 8*b - 70. What is the remainder when 19 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/64 and 93\/16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6562)\/1158)\/((-2)\/6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 2*i - i - 2*i + i + (1 - 1 + 1)*(2*i + 2*i - 5*i) - 14*i - 30*i - 8*i.\nAnswer: -57*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -n*u**2 + 7*n - 55*u**2 with respect to u.\nAnswer: -2*n*u - 110*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1978 divided by 8727?\nAnswer: -1978\/8727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*q + 19959, 20984 = -4*v - 5*q + 60935. List the prime factors of v.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*a - 38. Let f = -11 - a. Calculate the lowest common multiple of 9 and f.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(91)*-1)\/(-1*sqrt(112) - sqrt(7)).\nAnswer: -3*sqrt(13)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -52, -60, -52, -22?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86101, 87951, 89803, 91657, 93513, 95371?\nAnswer: 97231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -252 + 254. Let w(i) = 5*i**3 - 4*i**2 + 3*i - 2. Calculate w(n).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of q**7\/140 + 5*q**4\/4 + 31*q**3\/3 + 22. Let p(n) be the third derivative of u(n). Find the first derivative of p(z) wrt z.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16855 or -219099\/13?\nAnswer: -219099\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32937*i + 32894*i - 579 - 797 = 0 for i.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 69595323 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 248, 2, 0?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.7949 to zero dps.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -2 - (-10 + 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2. Let d(i) = -2*i**3 - 4*i**2 - i + 2. Let j be d(-2). Let k(a) = -j*a - a + 0*a + 4*a. Give o(k(l)).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11824 and 7977505?\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9943614 bigger than 9943614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of g**6\/120 - g**5\/30 - 3*g**3\/2 - 8*g**2. What is the remainder when 86 is divided by a(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 280422, 280804, 281186, 281568?\n\"Answer: 382*c + 280040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 205?\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/(-6)*8\/14. Suppose -5*d + b*p + 20 = 0, 2*p = -4*d + 2*d - 6. Suppose 5*k - 3*k = d. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3 - 350*z**2 + 101664*z - 5431680 = 0.\nAnswer: -552, 82, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 46 = 6. Let y be f\/14*(14 + -7). Calculate the highest common divisor of 220 and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(((q**11\/q)\/q)\/q)*q*q\/(q*((q*q**(6\/5))\/q)\/q*q*q)*q)\/(q*q**1)**(3\/29) assuming q is positive.\nAnswer: q**(-1074\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l - 2. Let o(f) be the third derivative of f**4\/12 - 35*f**2 - 3. Calculate o(g(j)).\nAnswer: -2*j - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -275.05 + 276.05. Sort -4\/9, -2\/143, -2, -0.04, g in decreasing order.\nAnswer: g, -2\/143, -0.04, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 130\/60 + (-1)\/6. Suppose -5*g = -3*r - 16, 3*g - 4*r - 16 = -2. Suppose -2*t + 4*t**u + t - g*t - t**2 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000330209632 to 6 dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 16 - 33 - -15) + 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 336 = -6*a. Calculate the smallest common multiple of a and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -25\/8*f**2 - 10\/3*f**3 - 1\/2*f**5 - 3\/2*f - 15\/8*f**4 - 1\/24*f**6 + 11. Suppose s(a) = 0. What is a?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1316.456 rounded to 0 dps?\nAnswer: -1316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13983022 or 13983020?\nAnswer: 13983020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39375 divided by 25.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*h - 6*a, 2*a - 5 + 1 = -15*h + 13*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(15) - 1*sqrt(135)))\/(sqrt(135)\/sqrt(3) + sqrt(30)\/(sqrt(24)\/sqrt(4)))*-4 + -4.\nAnswer: -4 - 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4 + 1236*r**3 - 44792*r**2 - 19776*r + 717696 = 0.\nAnswer: -4, 4, 42, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let z(t) = -5*t + 4. Let u(d) = -4*m(d) - z(d). Let w be u(4). Let i = 5.2 - 5. Which is the closest to i? (a) -2\/7 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(77) + (sqrt(77) - (sqrt(77) - (sqrt(77) + (sqrt(77) - sqrt(77)*2)))) + sqrt(77)))\/sqrt(7).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c**3 - 2*c + c**4 + 5*c**3 - 4*c + 355127 - 355135 - 4*c**3 in the form b*c**2 + d + q*c**3 + g*c + n*c**4 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {d: 1, c: 4, b: 1, o: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 138 = 162. Let t(y) = -y**2 + 13*y - 10. Let s be t(10). Is 2 a factor of 3\/12 - k\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 213916888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -7225*i**5 - 953782960*i**4 - 31477328735585*i**3 + 16294354030270*i**2 - 1590227773020*i + 43567920360 = 0. Calculate i.\nAnswer: -66006, 1\/17, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 56*y + 16. Let w(a) = -11*a - 3. Let v(d) = 3*k(d) + 14*w(d). Let g(i) = -139*i - 8 + 70*i + 14 + 72*i + 1 - 6. Calculate -16*g(x) + 3*v(x).\nAnswer: -6*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663\/306 - 5\/3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-61 - 11*m - 73 + 119)*(-3*m**3 + 3*m**3 - m**3) to the form y*m**4 + z*m**2 + j + x*m + h*m**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 20 - 4*t + 32 to w + l*t and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.9, -3, 79704, 2?\nAnswer: 79704","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n - 14. Let r be m(-6). Let t = -1 - -3. Let q be (-16)\/r*t\/4. Let h(a) = -6*a + 1. Determine h(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 2*d - 1\/10*d**6 + d**2 + 0*d**4 + 0 + 0*d**5 + 0*d**3. Differentiate w(y) wrt y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 5*g. Let r be i(4). Let b be (24\/6)\/(-3 + 2). Is r greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204211.\nAnswer: 7, 29173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 - 244\/3. Which is the closest to -0.2? (a) 1 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/26*-26*(0 + -1). Calculate the highest common factor of 78 and n.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 37*q - 22. Let x(y) = -3. Determine b(r) - 3*x(r).\nAnswer: 37*r - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*2\/(-32))\/(22\/4).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24544?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602 and 869890?\nAnswer: 869890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26103*c**2 + 20*c + 26126*c**2 - 52296*c**2 - c**3.\nAnswer: -c**3 - 67*c**2 + 20*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1*(3 + -1*sqrt(1900) + (sqrt(1900) - (2 + (-2*sqrt(1900) - sqrt(1900))))))**2*-4.\nAnswer: -273616 - 960*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (380\/185 - (8 + -3 + -3)).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -1, 2 in descending order.\nAnswer: 19, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 29*b + 70 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*c - 2)*(-1 + 1 - 1)*(6471437 - 6471437 + 1879*c**2).\nAnswer: -5637*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t*(t*t*t*t**(2\/5)*t)\/t*t)\/t**(-3\/2))\/(t\/((t**(2\/3)\/t)\/t))**(-25)*t**(1\/3)\/t**(-1\/3)*t\/t**(-1\/4)*(t*t*t**(-4)*t)\/t assuming t is positive.\nAnswer: t**(1343\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 11, -31, -81, -139?\nAnswer: -205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1320403 + -3?\nAnswer: 1320400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 25399?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 324490.27 - 324418.269526. Let n = 72 - w. What is n rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37317933.\nAnswer: 3, 331, 12527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 + 7*a + 6. Let h = -11 - -22. Let x = h - 6. Suppose -3*j + 1 - 4 = -3*t, 0 = j + x. Give p(t).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -63*o + 152*o - 71*o - 483480. List the prime factors of o.\nAnswer: 2, 5, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -74.4 * 9.3.\nAnswer: -691.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 6*g**2 - 6*g - 7. Let p be l(7). Let t(d) = -560 - 4*d + 1151 - 543. Let w be t(9). Solve -3*v = -p - w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 137 = -5*t + s, -3*t = 5*s + 161. Let f = t + 50. Let q(r) = 40*r - 6. What are the prime factors of q(f)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.34*5\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxxz when four letters picked without replacement from {u: 5, x: 2, z: 2}.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7282 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 157\/42 and 19\/190229655.\nAnswer: 380459310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6713 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 815, -5, 0.4, -12, -0.5?\nAnswer: 815","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19206 minus -17606778?\nAnswer: 17625984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245608.\nAnswer: 2, 7, 13, 29, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 14*c**2*d*p + 69*c**2*d*r - 40*c**2*p - 2*p*r + 2*r + 6 wrt d?\nAnswer: 14*c**2*p + 69*c**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -35. Let z = p + 16. Calculate the greatest common factor of z and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 4\/2 + -1. Let c(w) = -w - 1. Suppose 0 = -2*l + 6*l - 16. Let m(n) = -3*n - 5. Give l*c(j) + x*m(j).\nAnswer: -j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 20*y**3 + 18*y**2 - 25*y + 2. Calculate x(-4).\nAnswer: -890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*o - 51*o - 58*o - 64*o.\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 555.5646 kilograms to milligrams.\nAnswer: 555564600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p. Let g(m) = -3*m. Let s(l) = -2*g(l) + 3*z(l). Let o(r) = -r**2 + 9*r - 6. Let t be o(8). Let y(x) = -x**2 - t*x**2 + 2*x**2. Give y(s(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54787 divided by 54787.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d - 1. Let a be (-3)\/(-9) - 4\/12. Sort 2, a, d in descending order.\nAnswer: 2, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:48 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 3*j - 5. Let g be s(3). Suppose g*p + 5 - 29 = 0. Let q(n) = n**2 - 6*n - 1. Determine q(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, k: 9}. What is prob of picking 2 a and 2 k?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 + 2*z + 1. Let f be g(-1). Let j = 1 - f. Let n = -2528 + 2531. Solve -3*m = -n*c + 18, -3*m = c + 10 - j for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 10*f**5\/3 - 164*f**4\/3 - 476*f**3\/3 - 344*f**2\/3 + 34*f\/3 + 76\/3 = 0.\nAnswer: -1, 2\/5, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -72 times 23571\nAnswer: -1697112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g**5 + g)*(0 - 4 + 5) + 85*g**5 - 39*g**4 - 42*g**4 + 82*g**4.\nAnswer: 86*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -34. Let n = 10.8 - r. Round n to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k = 135*k + 3*o + 11, k = -2*o - 9 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 81*u - 3249. Let r be y(39). Which is bigger: -118 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x + 58 = -2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -427 - -434. What is the tens digit of (-5 + (-2355)\/(-21))*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/15))\/(b\/(b\/((b*b**6*b)\/b)))*(b**(2\/5))**(-14\/9) assuming b is positive.\nAnswer: b**(-301\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 25 = -2*v. Let g(p) = 63*p**2 - 2. Let j be g(2). Let u = j + -124. What is the highest common factor of v and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**3 - 3 - 16 - 4 - 25*m**3 + 10*m**3.\nAnswer: -11*m**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/5*g**3 + 4\/5 - 2\/5*g**2 - 2\/5*g**4 - 6\/5*g = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -52*a**6\/15 + a**3\/3 - 41*a**2\/2 + 97*a. What is the first derivative of q(p) wrt p?\nAnswer: -416*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -0.4, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1643166 (base 7) in base 2?\nAnswer: -110111111101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6166247724?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -30\/13, -0.3, -0.9, 236.4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -191*s. Let z(m) = 18*m. What is z(d(f))?\nAnswer: -3438*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 11) to base 12.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1040)\/(-108))\/10*(-12)\/(-8) + -1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6029 rounded to the nearest one hundred?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*h**3 - 2*h**2 + 11 + h**2 - 25*h**3.\nAnswer: -25*h**3 - h**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 44*n - 3 - 10 - 124 + 1 - 62. Let i = 74 + -21. Calculate the remainder when i is divided by o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 5*d**2 + 7*d - 3. What is z(-7)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - (10 - 45)) + (-11)\/((-1089)\/(-319))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 5 (c) 175 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 258400 and 1360?\nAnswer: 258400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144918 - 144883 = 7*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1842?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 0 - 2*-1. Let x be 32\/(-80) - (-4)\/10. Let s be (1 - x)\/(99\/36). Which is smaller: s or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -152 - 2?\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1857083 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 - (144 - 143)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15547 - -24546. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4337, 8659, 12981, 17303, 21625, 25947?\nAnswer: 30269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*v**3 - 2*v**3 - v**3 + (v + 0*v - 5*v)*(-53830*v + 41*v**2 + 53830*v) to the form s*v**3 + q + u*v**2 + o*v and give s.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 - v - 1. Let y be -3*(-3 - (-14)\/3). Let q be t(y). Calculate the greatest common divisor of q and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12428, -12295, -12064, -11735?\nAnswer: -11308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -18*t - 343. Let u(l) = -10*l - 171. Calculate -6*f(x) + 11*u(x).\nAnswer: -2*x + 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -8*h. Let f(n) be the third derivative of n**4\/3 - 1195*n**2. Calculate f(g(z)).\nAnswer: -64*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*u - 6, -3*u - 11 + 3 = 2*j. Let w be ((-6)\/j - -3) + -1. What is the second derivative of -3*x - 10*x**2 + 7*x - 2*x + w*x**2 wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2798.102ml to litres.\nAnswer: 2.798102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 43402 + 11222?\nAnswer: 110124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2\/17 - 62*q\/17 + 64\/17 = 0 for q.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1869952 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 159 and 265?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-96 - (-11 + -60))*39\/(-25)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4715673 is divided by 431?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122110200 (base 3) to base 13.\nAnswer: 5a48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 - 3980*r**4 - 118008*r**3 - 795088*r**2 + 471968*r + 3244032 = 0. Calculate r.\nAnswer: -18, -11, -2, 2, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-12 - -15)) + 10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - x. Let l(z) = -4*z**2 + 0*z - 2*z**2 + z - 3 - 3*z. Let b(a) = -l(a) - 4*t(a). Give b(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678 is divided by 1472?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -15. Let l = j - 59.2. Let t = -18.3 - l. Round t to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -7396.\nAnswer: -5\/7396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131036 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -14*r**2 + 2*r + 9. Let q(f) = -7*f**2 + f + 4. Calculate 4*i(u) - 9*q(u).\nAnswer: 7*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 7)*((0 - 1 + 0)*(3 - 5 + 1) + 2 - 3 + 5 - 1 + 3 - 1 + (6 - 1 - 4)*(-3 - 2 + 3))*(-2*v + 2*v - v) to the form i*v + t and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6494 bigger than 6495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 507718330 and 0.03.\nAnswer: 507718330.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = -3. Let f(u) = 15 + 0*u - 15*u + 138*u**2 - 134*u**2. List the prime factors of f(o).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 1\/3, -4\/7 in descending order.\nAnswer: 9, 1\/3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118.37515 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-625)\/12500 - 13\/20\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 + 2 - 2 + (-y + 5*y - 2*y)*(5*y**2 + y**2 - 4*y**2) - 110*y**2 + 110*y**2 - 29*y**3.\nAnswer: -26*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*o = 229*o + 191*o - 17577. What is the greatest common divisor of o and 26460?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02 and 2574.\nAnswer: -51.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065934669 to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/((sqrt(12) + sqrt(24)\/sqrt(2))*3 - sqrt(12)).\nAnswer: sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0908*0.3\nAnswer: -0.02724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -29865 times 131\nAnswer: -3912315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 72710052 divided by -18177513?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-29498)\/(-20) + (-6)\/15. Let l = 36841\/25 - k. Calculate the common denominator of l and -77\/10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5091541 + 11298541. What is y rounded to the nearest 100000?\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**4\/12 - 3*w**3\/2 - 10*w**2 - 6*w. What is the units digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 98582?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16645\/9 - 1846. Let k be (-36)\/30*(-1)\/(9\/(-3050)). Let r = k + 837\/2. Calculate the common denominator of f and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 398359494 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*o + 25 = 5*w, 5*o = -w + 25. Suppose -4 = -g + 1. Suppose -g*a - 709644 - 3540356 = w. What is a rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, s: 4}. What is prob of picking 4 z?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162 = -30*f + 48*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 - 17 = 0. Solve -5*b = -3*l + l + 33, -5*l + n*b + 35 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32922 divided by 279.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w**2 - 5*w + 1. Let v(q) = -9*q**2 - 4*q + 1. Let j(b) = 4*h(b) - 5*v(b). Give j(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1))**(1\/31)*(g**4*g)\/g*g*g*g*g**(-7)*g*g**(2\/7)*g**(-2\/21)*g*(g**(-1\/2))**(-4\/19) assuming g is positive.\nAnswer: g**(916\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 20 = -r. Suppose 1 = 3*k - r. Suppose 32 = -k*o + 8*o. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*g**3 + 14*a**2*g + 60*a**2 + 43*a*g - 4*a - 35*g**3 wrt a.\nAnswer: 4*g**3 + 28*g + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34721 (base 11) to base 16.\nAnswer: -c3c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 160.43\nAnswer: 160.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 175 + -159. Suppose -o = -a*o + 75. Solve -2 - 3 = -o*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)\/(-1*sqrt(12)) + sqrt(25) + sqrt(25) - sqrt(25))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + -4. Let m(x) = 2*x + 3. Let n(r) be the third derivative of 0 + 1\/24*r**4 + 2*r**2 + 0*r + 1\/6*r**3. What is i*m(l) + 3*n(l)?\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000259785264 rounded to 5 dps?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -87 + -3867?\nAnswer: -3932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418627*l**5 - 644593*l**2 wrt l.\nAnswer: 25117620*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from rvfcqrm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 192179680 rounded to the nearest 1000000?\nAnswer: 192000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 5*i + 4. Let l(u) = -4*u - 5. Give -5*g(q) - 6*l(q).\nAnswer: -q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 765?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 25731*i**2 + 9*i - 33923*i**2 - i - 40556*i**2. Let s be v(-4). What is s rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -479\/815 - 2\/163. Let o = 27 + -19. Let y = o + -8.5. What is the second biggest value in y, -0.4, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 AM and 6:02 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3, -0.23, 2\/5, -1, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r + 6*r - 4*j = 20, 5*j = 3*r - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (6 - 11) - (0 + 2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131220 = -z - 17220. What is z rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 145, 20384 in decreasing order.\nAnswer: 20384, 145, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -30511\/29 < -1051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -96.1966161 and 0.6.\nAnswer: -95.5966161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 39. Let l(o) = 69*o. Determine l(v(n)).\nAnswer: -69*n**2 + 2691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4816 and -9.\nAnswer: -4825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3286879*r**3 + 2*r**2 + 6*r + 167062 wrt r?\nAnswer: 19721274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let y(n) = 311*n - 311*n - 7*n**2 - 12*n**2. What is y(s(h))?\nAnswer: -19*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4810)\/(-20))\/(1\/(-4)). Let r = -2927\/3 - m. Calculate the common denominator of r and 16\/36 - (-2 + 0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12588448163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/8 (b) -28\/9 (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 300, 601, 894, 1173, 1432, 1665, 1866?\n\"Answer: -y**3 + 2*y**2 + 302*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 688, 2952, 6880, 12472, 19728, 28648?\nAnswer: 39232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**(-2\/3)*(g**10*g*g)\/g assuming g is positive.\nAnswer: g**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 25. Suppose 3*a - 4*t - t = -29, 2*a = -4*t - 12. Let r be (18\/a)\/((-6)\/16). Let h be g(r). Sort -4, -3, h in descending order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 1\/7 (c) 1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 2*f + 16. Let p be s(-5). Let w be -2 + p + (-356)\/(-4). Suppose -l + c = -39, c = 2*l + 4*c - w. List the prime factors of l.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 3*z**2 - 6*z - 10. Let j be m(7). What is the greatest common factor of 48 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 3. Let g be p(-5). Let i = 49 - g. Let j = i + -32. Is j a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 12539181?\nAnswer: 25078362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*j = 15, 4*h + 7 + 8 = -5*j. Let i = 4 - 7. Let u = 28.2 - 24.2. Which is the biggest value? (a) u (b) h (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 + 2*n + 1. Let c(z) = 5*z**3 - 12*z**2 - 19*z + 29. Let v(o) = c(o) - 3*g(o). What are the prime factors of v(10)?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 35, 52, 69, 86, 103?\n\"Answer: 17*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3540 and 7552.\nAnswer: 113280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3809?\nAnswer: 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 241462894 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + -209 + -8 + 6. Let x = -197 - g. Solve 0 = 3*z - x + 2 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10804*h - 19486*h + 4922*h to p + k*h and give k.\nAnswer: -25368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9 - -25) + 2 + -1*2. Suppose 253 = i - d. Let h = i + -135. What are the prime factors of h?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86.48869 centuries?\nAnswer: 864.8869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iyiccciiyiyccyi. What is prob of picking 4 i?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1805963360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**2 + 37*d**2 - 19*d**2 + (-3*d**2 + d**2 + 3*d**2)*(-1 + 2 + 0).\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 460*q + 1378. What is x(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/z**(-2)))**(-15))**(-11\/7)*z**(-1\/3)\/z*z**(-4)\/z*z*z*z**(3\/10)*z*z*(z\/(z\/(z*z*z*z**6*z)))\/z assuming z is positive.\nAnswer: z**(-8437\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 130, 435, 1030, 2011, 3474?\nAnswer: 5515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (608\/532)\/(6\/(-21))*2\/4. Put -3, -4, 1, j in decreasing order.\nAnswer: 1, j, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -669509\/5 at most -133902?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - 2. Let s = m + 31. Let p = -19 + s. Which is the third smallest value? (a) p (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2363916236 to the nearest integer?\nAnswer: 1332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 310156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -12*f + 6. What is n(5)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10453566 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 5. Let a = -1 + 1. Let u = a + 16. Suppose 3*v = t - 3 - 7, 2*v - u = -5*t. Let f(h) = 2. Determine v*n(m) + 5*f(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from {i: 7, q: 4, c: 7}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 5*k - 16, 3*k = -3*n + 6 + 18. Let h = -11 + 8. Let a = h + n. Which is smaller: 4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-56)\/(-12)*((-234)\/24 - -9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2389, -5824, -15127, -33232, -63073, -107584, -169699, -252352?\n\"Answer: -489*r**3 - 12*r - 1888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15\/(-6)*23*2850\/(-1725)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = v + 4, -11*l - 2*v - 8 = -14*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmd when three letters picked without replacement from zzcebmd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**16\/l**(-27))**(-32) assuming l is positive.\nAnswer: l**(-1376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 0.99, 1, 19\/3 in descending order.\nAnswer: 20, 19\/3, 1, 0.99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 50787*w = 50782*w + 29, 4*y + 36 = 4*w for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 11\/3 (b) 617 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61 - 19. Let r = n - 55. Let w = r - -16. Solve w*d + 5 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(19) + sqrt(57)\/sqrt(3) + -5 - ((sqrt(171) + sqrt(171)*-2)**2 - sqrt(171))).\nAnswer: -704 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3863767844.\nAnswer: 2, 965941961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54649 and 21497.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40626 - -40628. Solve -5*c + 5*j = -50, q*c - 140*j = -142*j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833405829 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3 + 1 = 0. Let n be s\/13*2\/(-2). Which is the nearest to 1? (a) -1 (b) 1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88771 = 130*u - 113498 + 26899. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.6 + -25.1. Which is the second biggest value? (a) h (b) -5 (c) -117\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*28\/9030*43?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 16) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 + 3*o**2 - 9*o + 19. Let c be f(9). Let x = -539 + c. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -206*q - 352*q - 4418*q - 3410*q - 1635*q + (5*q - 5*q + 2*q)*(3 - 2 + 3).\nAnswer: -10013*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 93844379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in -0.21, -5149, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -179981, -1, -1\/14 in ascending order.\nAnswer: -179981, -1, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from mpmmmmmmmpppmp?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 495022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**0\/z*z*z*(z*z**1)\/z*(z**(2\/7))**35*z**5\/z**(1\/3)*(z*z\/z**(2\/5)*z*z)\/((z**(-1\/5)*z*z)\/z) assuming z is positive.\nAnswer: z**(292\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2268) + sqrt(2268) + sqrt(63))\/(sqrt(54)\/(sqrt(6)*1)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -318 at most as big as -320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**5\/20 + o**2 - 16. Give b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 2*z + 12. Let v be x(0). Suppose 4*t - 45 = p, -2*t - v + 57 = -5*p. Solve -2 = -3*y - 4*l + 18, t = 3*y - l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/48 and (107\/(-9))\/(72\/27)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 444791734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 438962549 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -3949 equal to -37220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11455 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 70 + -450. Let j = 2273\/6 + c. Calculate the common denominator of -23\/24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - g - 3*g + (g - 4*g + 4*g)*(27 - 72 - 26).\nAnswer: -73*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 235427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 107414*x**2 + 1288624*x - 3006920.\nAnswer: 2*(x - 2)*(x + 14)*(x + 53695)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.5 and 0.5449.\nAnswer: -0.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -1cc?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24949230, 24949233, 24949236?\nAnswer: 24949239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-17 - (7 + -79 - 21 - 16))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1234328437?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9084643\/600332082 + 4\/312999. Calculate the common denominator of j and -143\/1644.\nAnswer: 11508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1023042 (base 5) to base 16.\nAnswer: -4378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81 and 87?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k\/(k*k**(-3)*k*k))\/k*k\/(k*k**(2\/11))*(k*k\/k**(-4)*k*k)\/(k**4*k) assuming k is positive.\nAnswer: k**(42\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 4*n + 27. Give g(-11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*g - 834 + 43*g + 868 + 65*g.\nAnswer: 6*g + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -65\/141 + 10267\/7896. Find the common denominator of f and -86\/1071.\nAnswer: 8568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.4 - -28.9. Let b = 67 + h. What is the closest to 2 in 5, b, 1\/8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -2. Let v(t) = -t**3 + 5*t**2 + 3. Let c be v(5). Factor r**4 + 3*r**5 - c*r**3 - 2*r**2 + 0*r**2 - r**x + 2*r**4.\nAnswer: 3*r**2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -190.1? (a) -3 (b) -48 (c) 1\/9 (d) -4 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 49 + 26 = 0. Calculate the lowest common multiple of u and (96\/(-1872) - 11316\/(-1638))*7\/2.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/218 and 33\/26?\nAnswer: 2834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0.1, 1\/5, 5\/29 in increasing order.\nAnswer: 0.1, 5\/29, 1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 240040835*h**2 + 4226282*h - 2 wrt h?\nAnswer: 480081670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 19 = -4*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 8*x - 48 - 144, 5*v - 92 = -3*x - 34 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -43.552085 and 2094?\nAnswer: 2137.552085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -7\/285850?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-6 + 11) - -18.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64615, 64603, 64575, 64525, 64447, 64335, 64183, 63985?\nAnswer: 63735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i**2. Let a(g) = -10*g. Calculate a(k(p)).\nAnswer: 50*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 227 + -187. Suppose -3*j - 34 + q = 0. Suppose -3*n - 1 + 19 = 0. Solve -j*v + 0*v = -n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 2*z**2 - 2*z. Suppose 5*b + 35 = -5*l, 0*l + 23 = -2*l - 5*b. Let i = 1 + l. What is the remainder when u(i) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44.12 + -0.21046354039\nAnswer: 43.90953645961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -22269 and -22660 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/114256 and 95\/24704?\nAnswer: 914048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 1.7. Let q = -60 - -48. Let o be 9\/(-6) + ((-130)\/q)\/13. Which is the second smallest value? (a) h (b) -1\/4 (c) 0.2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.15252 rounded to 2 decimal places?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 417 = -b + 1719. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:07 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17177 + 17176.5. What is the biggest value in -0.2, 0.5, x, -0.52, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3752*41*(-123)\/282408?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 l, and 1 m when three letters picked without replacement from kmnklgglnmkmln.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 - -2. Suppose -3*w - 2*x = -3*x - 46, s = -2*w + 2*x + 32. Calculate the remainder when 29 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1577 (base 9) to base 6.\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.1 - 1.1. Let n be 1*2\/(-2)*1. Let j = -1.9 + 2. Which is the nearest to j? (a) n (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -4*s**5\/5 + 25932*s**4\/5 - 310648*s**3\/5 + 258792*s**2\/5 + 310652*s\/5 - 284724\/5 = 0.\nAnswer: -1, 1, 11, 6471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 6*l - 55. Let g be b(10). Suppose -8*m + g*m = -36. Calculate the smallest common multiple of m and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*k + 102*k - 35*k + 3 in the form p*k + n and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -707710241 + 2?\nAnswer: -707710239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4294391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2057*l - 7595. Let d(v) = -31*v + 1. Let h(j) = 18*d(j) - s(j). Differentiate h(t) with respect to t.\nAnswer: 1499","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/78 and 22\/27.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)\/(k\/(k*(k*k*k**(-2\/15))\/k))*k\/(k*k**(1\/6)*k)*k*((k\/(k**(-1)*k))\/k)\/k*k*k)**(2\/73) assuming k is positive.\nAnswer: k**(241\/4745)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 218918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -18, -36, -68, -126, -222, -368, -576, -858?\n\"Answer: -2*b**3 + 5*b**2 - 19*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2070356767 to the power of 1\/3, to the nearest integer?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-24)\/(-9)*48. Let u = h + 198. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-54) + (-76)\/18. Let k = z + 6. Suppose 3*t = l + 7 + 3, 5*t + k*l - 13 = 0. What is the nearest to -1\/2 in t, 2, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 104571.\nAnswer: -2\/104571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6724742 rounded to two decimal places?\nAnswer: -1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 - (10 - 4 - 12)) + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 354 - 238. Calculate the remainder when v is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 1. Let z(g) = 42*g**5 - 3*g**3 + g**2 + 125*g - 3. Let k(r) = 3*i(r) + z(r). What is the second derivative of k(d) wrt d?\nAnswer: 840*d**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - (38 - 198 - -64)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6909 - -6935. Solve d = 2*y + 4*l + 52, -5*y - l = 20 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1625592 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1568.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 770005673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 10*g**2 - 10*g - 16. Let l be h(11). Let t = -6 + 5.6. Let p be 0\/(-3) - (-2)\/7. Which is the closest to p? (a) t (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzz when three letters picked without replacement from {z: 3, l: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14537015.\nAnswer: 5, 181, 16063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 10 - (3 - -15 - 4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 109 - 3?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -3. Suppose z*w - 3*w + 13 = 0. Suppose 3*l - 25 = 2*l. Calculate the remainder when l is divided by w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 55001*l**2 + l - 2. Let t be o(-2). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -10, 9, -3 in decreasing order.\nAnswer: 9, -1, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-85)*(2 - (-21)\/(-7)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o - 247 = -215. Solve -4*q = -0*s + o*s + 32, -4*q + s - 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -37, -0.5, 0 in descending order.\nAnswer: 0, -0.5, -3\/4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/85)*f\/f**(-18))\/(f**(-9\/7)\/(f\/f**(1\/23))) assuming f is positive.\nAnswer: f**(290378\/13685)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**5\/20 - g**4\/12 - 3*g**3\/2 - 42*g**2. Let z be p(3). Solve t = -3*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 609297 and 4641?\nAnswer: 4265079","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7.7675, -4, -1\/4, 11?\nAnswer: -7.7675","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001816773 to 7 dps.\nAnswer: 0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+194648906.64\nAnswer: 194648906.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -5*t**2. Let g(h) = -85*h. Determine x(g(i)).\nAnswer: -36125*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5430 divided by -6\nAnswer: -905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + x - 36. What is v(0)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33828 is divided by 675.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*w - 5*o, 4*o - 2*o + 4 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w = -17*w - 8. Suppose 0 = 4*d + 4*m - 16, -w*d + 5*m + 22 = -0*d. Is 7 bigger than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 11, d: 5}. Give prob of picking 4 d.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(16\/(-24)*(-3)\/(-56)). Let j be (3*6\/9)\/(8\/t). Suppose 4*c - 3*x - j = 0, -c + 5*x = 2*c - 5. Solve -i - 19 = -c*h + 6, 2*h = -5*i + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(6\/11))\/m)\/(m*m*m**(1\/10)*m*m))\/(m\/((m*(m*m\/m**21)\/m*m)\/m)*(m*((m*m**(-14)*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(-1051\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2937717 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 61*f**2 - 3853*f - 12099. What is h(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7303 (base 8) to base 15\nAnswer: 11be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 6*p**2 + 3*p - 1. Suppose -123 = 3*v + 11*c, -3*c + 11 - 41 = 2*v. Suppose 0*f - 2*f = -10. Let x(j) = -11*j**2 - 5*j + 1. Give f*u(d) + v*x(d).\nAnswer: -3*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/7104 and -67\/1360.\nAnswer: 603840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 14. Let t be a(16). Let c be (-11)\/(-2) - (-2)\/(-4). Solve t*u - 3*u**3 + 12*u**2 - c*u**4 - u - 5*u = 0.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 6 - 4)*(1 + 0 + 0)*(-45*m + 10575*m**2 - m**3 - 10573*m**2 - 3*m**3) in the form h + a*m**3 + i*m**2 + g*m and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-3))\/(-12 + 11).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.625 + -0.765. Which is the third biggest value? (a) d (b) -0.1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -5570?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*(70\/10)\/(-14)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5829\/402)\/((-7105)\/(-49))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, w: 2}. Give prob of sequence uuu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 220929 - 220934. Let y be 0 - (-1*4 + 1). Put r, -3, y, -10 in decreasing order.\nAnswer: y, -3, r, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c. Let v(j) = 154*j**2 + 162*j**2 - 309*j**2. Determine s(v(k)).\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 0, -2, 48, -3.\nAnswer: -19, -3, -2, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13953 is divided by 1394?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 106981582?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 811969 divided by -45\nAnswer: -811969\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2. Let y(l) = -40*l. Calculate y(k(u)).\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 + -5be6?\nAnswer: -5bee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394959.\nAnswer: 107, 13037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o + 3*z, o + 2 = -3*o - 5*z. Solve 0 = o*l - 0*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 10:24 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12189514 smaller than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 66. Suppose 0 = -4*v + 11 + n. Suppose 3*a - 129 = a + g, -141 = -2*a + v*g. Does 33 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*v**3 + 700*v**2 + 6352*v?\nAnswer: -306*v + 1400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 3*o + 12*u - 473, -478 = -3*o + u. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - (-36)\/(-15). Let b = 11 + r. What is the greatest common factor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189.26*-1\nAnswer: -189.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001 (base 3) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 198*m**4 + 91 wrt m?\nAnswer: 792*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whuhwahuhuua. Give prob of sequence hh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 425 = 4*l. Let o = l - 54. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*g**2 - 51*g**2 + 27*g**2 - g - 1)*(-52*g + 27 - 27 + (0 + 0 + 1)*(-4*g + 2*g + 0*g)).\nAnswer: 108*g**3 + 54*g**2 + 54*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 1:56 PM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -12*b**2. Let i(w) = -w**2 + 380 - 380. Determine d(i(j)).\nAnswer: -12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 651100 and 136?\nAnswer: 1302200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 12*w**2 + 36*w + 90. Let s be q(-7). What is the highest common divisor of s and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -10. Let n be 2\/(1*z - -1). What is the closest to n in 2\/15, 2, 1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12640 - -12928. What is the highest common factor of 45 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2588777125?\nAnswer: 5, 11, 1882747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 - 7*k**2 - k + 9. Let g be (-9)\/(-15) - 64\/(-10). Let d be i(g). Is d != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47913, -95828, -143743, -191658?\n\"Answer: -47915*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4*t**2 - 115\/4*t - 55\/2.\nAnswer: -5*(t + 1)*(t + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - z - 6 = 0. Factor -15*d**5 - 25*d**4 - 70*d**3 - 14*d**3 - 41*d**4 - 24*d**z.\nAnswer: -3*d**2*(d + 2)**2*(5*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvlaegvlvvlaavvll. Give prob of sequence eg.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9300 + 2318?\nAnswer: 10618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 e, and 1 y when three letters picked without replacement from {x: 1, y: 5, e: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 14*w - 990. Find the common denominator of -15\/182 and (-689)\/w - 72\/168.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 488*o - 3179*o**3 + 9855*o**3 - 2415*o**3 - 3100*o**3 wrt o?\nAnswer: 6966*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -77, -72, -67?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 + 2*v**3\/9 - 2*v**2\/3 - 2*v\/9 + 4\/9.\nAnswer: 2*(v - 1)**2*(v + 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -1243*w**3 + 2*w**2 - 2. Let k be d(-1). What is k rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*2*-6)\/sqrt(8).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -22 + 103 - -5 - (12 + 2)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11125618*u**5 + 21*u**4 + 34694*u + 1958?\nAnswer: 222512360*u**3 + 252*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and 1.44?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231714, -231719, -231724, -231729, -231734, -231739?\nAnswer: -231744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**2 - 7*b**3 - 17*b**2 + 2*b + 298*b**2.\nAnswer: -7*b**3 + 281*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/14)\/((-19 - -11)\/(-4))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(66)\/(1*sqrt(6)))**2 - (sqrt(11)*-1 + sqrt(11))**2*-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1 (b) 0.5 (c) -0.063 (d) 0 (e) -93\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (599 - 599 + 96*x)*(0 - 1 - 2) + 3 - 7*x - 5 + 0 + (1 + 4 - 6)*(2 - 2 - x) - 2*x + 0*x + 0*x + 2*x + 2*x - 2*x in the form j*x + o and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k - 1. Let b(t) = -8*t + 8. Let d = 9 + -14. Let z = 186 - 187. Let y be (d\/z)\/((-15)\/(-6)). Determine y*b(p) + 18*a(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 8*q - 5*q + 7056, 3*i - 4228 = -q. List the prime factors of i.\nAnswer: 2, 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12 - -9)\/(1\/(-321)). Suppose 3493 = 10*p + g. Is 23 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 376 and 429204?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-158)\/18012*(-15)\/5.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1201 - -2444. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5650988 + 9430180. Let q = i + -3779147.99966. Let a = 44 - q. What is a rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -178*p**3 + 355*p**3 - 175*p**3 + 6 - 6.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 77*a**4\/24 + 11*a**3\/6 + 42*a**2 + 4*a. Let i(l) be the first derivative of w(l). Find the first derivative of i(k) wrt k.\nAnswer: 77","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -20, 3*s + 8*y - 11*y + 30 = 0 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62 + -54. Suppose 8*x - 7*x = m. Solve 4*a - x = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.32+-620424\nAnswer: -620425.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 197411466 a multiple of 257?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*q - 3, q = 3*q. Suppose -3*w - 18 = 3*p, 0 = 4*w - 2*p - 0*p + 24. Let z be (28\/8 - -1)\/w. Which is the closest to i? (a) 2\/13 (b) z (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4. Let l(m) = -8 + 1 + 243*m - 229*m. Calculate the remainder when l(1) is divided by q(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 4, -31\/48?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1575339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -12*m + 53 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1624 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -71266313 and -5149.\nAnswer: -71271462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 21 - 9 = -5*u, -b - 5*u = 24. Let s = 16 + b. Let o(k) = -k**3 + 2*k + 12. Calculate the remainder when o(0) is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 466b0?\nAnswer: 466b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 6*i - 841147*i**3 + 841144*i**3 - 3*i.\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6040 to the nearest one hundred.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 38*z**2. Let g(r) = 3*r**2 - r. Calculate 2*g(v) - n(v).\nAnswer: -32*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, o: 1, v: 8, b: 2, w: 2}. Give prob of picking 1 w and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f + 2*z = 7*f + 14, z - 4 = 0. Let a(j) be the third derivative of j**f + 1\/30*j**5 + 0*j + 0*j**4 + 0*j**3 + 0. Let w(o) = 2*o. Give a(w(i)).\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Find the common denominator of (-17)\/k*90\/12 and 29\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -c + 15, -3*w + 439 = 4*c. Calculate the highest common factor of w and 255.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a**2 - 2*a**2 + 2 + a - 3 + 2*a**3. Let u(m) = -2*m**3 + 13*m**2 + 9*m - 16. Let p be u(7). Let s be p - (0 + 3 - 3). Determine z(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 580641?\nAnswer: 3, 37, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -23*c**2 - 37*c + 110. Let n(z) = -50*z**2 - 76*z + 221. Let f(o) = 6*n(o) - 13*q(o). Calculate f(19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 5:03 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -21022?\nAnswer: 21022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -0.1, -104, -7\/22.\nAnswer: -104, -0.5, -7\/22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = 5*r. Suppose 6 = -5*b + 1. List the prime factors of 18 - (1 + (b - r)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1545.549 rounded to 0 decimal places?\nAnswer: -1546","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36*d**2 + 0*d**3 - 4500 + 26*d**2 - 1200*d - 62*d**2 - 3*d**3 - 33*d**2.\nAnswer: -3*(d + 10)**2*(d + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -213*h + 4218. What is u(19)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**4\/6 - 2*z. Let s(w) = -3*w**2. Determine s(t(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6963807)\/516 + 6\/8. Is p bigger than -13495?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10629 from -5.\nAnswer: -10634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.23 in 0, 3\/5, -4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*z = -20, 12 = 2*z + 4. Let b be 74\/f - (-9)\/15. What is the units digit of -2 + (-2 - -2) + b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001498424 rounded to six decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -41*z**3\/6 + 367*z**2\/6 - 401*z\/3 - 20\/3 = 0.\nAnswer: -2\/41, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 0*k)*(-4633 - 4637 - 4632 - 4640 + 18542 - 31953*k).\nAnswer: 63906*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 61 = -64. Let j be (27\/45)\/((-1)\/y). Solve -2*l - j = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(5) - -1*sqrt(5)) + sqrt(25)\/sqrt(5) + 2)**2 + (1*(sqrt(5) + 1) - sqrt(5))**2 + sqrt(25)\/((sqrt(25)\/sqrt(5) - sqrt(5)) + sqrt(5)).\nAnswer: 82 + 37*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3388246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/1 - (-67 + -3 + 1). Let b = m - 6. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*5\/(-6))\/(100\/16).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -35*f**3 - f - 2. Let t be h(-1). Suppose 2*v = t + 38. Let m = v - -2. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 283.3 - 367.3. What is the closest to -1\/2 in w, 5, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(-112)*(-28)\/(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**2 - b + 116. Determine l(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 14*r. Let o(f) = f**2 - 3*f. Let p(i) = 3*g(i) - 14*o(i). Let h(s) = -7*s. Calculate h(p(q)).\nAnswer: 14*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + r**2 - 3*r**2 + 12*r**3 - 12*r**3 + 2 - r**4 to the form y*r + t*r**3 + x + p*r**2 + v*r**4 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77 - 65. Solve -2*y - x = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004649057318 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1)**(4\/23)*(g**(-5\/4)*g)\/((g*g\/(g**(1\/4)*g))\/g)*(g**(-4)*g)\/g**(1\/7)*(g**7\/g*g)\/((g\/g**7)\/g) assuming g is positive.\nAnswer: g**(1776\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 14*v**2 + 14*v + 1. Give d(13).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 19 - 339 = 0. Suppose -6*y + 8 + 184 = 0. Factor y*d - 77*d**3 + q*d**3 + 24*d**2 + 31*d + 54.\nAnswer: 3*(d + 2)*(d + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -49*z + 8. What is c(1)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.09 * 0.149632\nAnswer: -0.01346688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 384*l**2 + 18042*l - 37636.\nAnswer: 2*(l - 2)*(l + 97)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-114)\/12*((-3174)\/437 + 7). Let 5\/2*z**5 + 15*z**3 + 0 - 10*z**4 + j*z - 10*z**2 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rgragargr. Give prob of picking 2 g.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u**(-1\/2))\/u))\/u**3)\/(u**1)**(3\/4) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85750628*q**3 - 8192*q + 68 wrt q.\nAnswer: 514503768*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 253 = 213. Let f(m) be the third derivative of -5\/24*m**b - 1\/2*m**3 + 0 + 4*m**2 + 0*m. Calculate f(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18088493 + -0.4\nAnswer: 18088492.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1166 (base 11) to base 14\nAnswer: 7ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18438 divided by -382\nAnswer: -9219\/191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 33. Let q be a(14). Suppose 18*z - q*z = 0. Is z bigger than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -165196 + (-4 + 6 - (-4 - -10)). Round o to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 84 - 153 = n, 1326 = -28*r - 5*n for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 2:49 PM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - 1 + 2 - 3*o + (5 - 3 - 5)*(-3 + o + 3) - 2 + 2 + 4*o.\nAnswer: -2*o - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3692*q**2 - 145*q + 10. Let x(y) = -3694*y**2 + 146*y - 12. Let t(u) = 5*i(u) + 4*x(u). Is t(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521882 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 9 = 0. Let t be (3\/(-3))\/(o\/(-6)). What is the closest to t in -4, 1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)*8\/(24\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 330, 1424, 4040, 8940, 16886?\nAnswer: 28640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1306844148 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5372 - -5761. Calculate the remainder when y is divided by 195.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2749531 < -2749531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**4\/((w*w**(1\/7))\/w)*(w*(w*w**(1\/2))\/w*w)\/(w*w**(-4\/5)))**(4\/17) assuming w is positive.\nAnswer: w**(862\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 8:52 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or -2.3?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25.982 + -0.018. Let b = d - -19. Let v = b + 4. Sort -1\/5, v, 4\/5, -1.\nAnswer: v, -1, -1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/9 + 13342*i\/9 - 2964.\nAnswer: -2*(i - 6669)*(i - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {a: 1, c: 2, z: 3, k: 4, j: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -197, 1\/3, 4 in decreasing order.\nAnswer: 4, 2, 1\/3, -1, -197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -70085, -79221, -88357?\n\"Answer: -9136*u - 60949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1\/(1\/12)*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 7*q - 4. Let z be h(4). Suppose -7*m = 248 - 1592. What is the greatest common factor of m and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 - 3*r - 4. Let n be t(4). Suppose 0 = 3*h - 4*o + 6, n*o + 3 = o. Find the third derivative of -3*u - 3*u**3 + 3*u - h*u**2 wrt u.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 77*r - 294. Let w be l(73). Let h(z) be the second derivative of -2*z**3\/3 - z**2 - z. Determine h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -70. What is the remainder when 131 is divided by z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(8)*2*-6 + sqrt(8) + (sqrt(72)*-2 - sqrt(72))**2).\nAnswer: -3240 + 110*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18916239, 18916235, 18916231, 18916227, 18916223, 18916219?\n\"Answer: -4*w + 18916243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2513 a factor of 966565138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 2*b + 1. Let k(w) = -3*w**2 + 36*w + 48. Let g(a) = 4*d(a) + k(a). Let j be g(-26). Solve -2*z + 16 = 4*s, j*s - s + 5*z = -15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let i(d) = -18062*d. What is l(i(w))?\nAnswer: -326235844*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-2)\/(-3))\/(4\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125980?\nAnswer: 2, 5, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44112421?\nAnswer: 44112421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 10*x**3 + 140*x**2 - 550*x. Let r = 83 - 78. Let f(y) = 5*y**3 + 71*y**2 - 274*y. Let g(h) = r*f(h) - 2*l(h). Determine c, given that g(c) = 0.\nAnswer: -18, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + z. Let h(y) = -y**2 + 8*y - 1. Let i be h(8). Calculate the smallest common multiple of l(i) and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -24 - 69?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + y + 4*y**2 - y)*(-3 + 3 - 2)*(2 - 1 - 2).\nAnswer: 8*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -478\/25, 0, 3 in decreasing order.\nAnswer: 3, 3\/7, 0, -478\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 0.5?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008359 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or 1.45?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/23880 and -81\/10?\nAnswer: 23880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -0.09, 0.4, -0.4 in decreasing order.\nAnswer: 0.4, -0.09, -0.4, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.56207 years in millennia?\nAnswer: 0.00456207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*p - 41 = 0, 5*p - 1027 = -r - 1055 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 7*n - 129 = -4*b, -3*n + 39 = b. Solve -46*f - 32 = -b*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 16*q + 25. Let a be j(-14). Let o be 1*(a - 12\/(-4)). Solve -s + 6*s = o for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-4))\/(9\/24). Let b = 12 - 8. Suppose b*y - 3*y - 3 = 0. Solve -y*l - 1 + o = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 216 = -5*c + 2*c, d + 2*c = 57. Calculate the remainder when 182 is divided by d.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4051 + -27?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09177 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-13)\/(x*x**(-1\/17)))**(-2\/25))**(-12\/13) assuming x is positive.\nAnswer: x**(-5688\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1335190616 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 178450 to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 166*h - 9302. Calculate k(56).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1325960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 896180115 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/(-1155))\/(9846\/(-2735)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b**2 + 16*b + 9. Determine p(3).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 7:11 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**2\/11 - 764*f\/11 + 72962\/11 = 0. Calculate f.\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79039*f**3 - 89*f**2 + 179*f**2 - 90*f**2.\nAnswer: 79039*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37 and 31672.\nAnswer: 31672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7136 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 113490 a multiple of 130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2117 + 3594. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*f**2 + 317414*f + 1451328 = 0. What is f?\nAnswer: -32\/7, 22677","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -3682.\nAnswer: -2\/1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1940902, -1940892, -1940882, -1940872, -1940862, -1940852?\n\"Answer: 10*a - 1940912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/6269985 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1635172 divided by 408793\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 48380, 295 in decreasing order.\nAnswer: 48380, 295, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-7)*l**(-1\/19)*l)**(-2\/37))**(8\/13))**35 assuming l is positive.\nAnswer: l**(64400\/9139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*r**2 + 2*r + 780*r**2 - 359*r**2 + 226*r**2 + 507*r**3 wrt r?\nAnswer: 3042","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 39210, 39203, 39192, 39177, 39158?\n\"Answer: -2*l**2 - l + 39213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010110111000 - 10?\nAnswer: -10100010110111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 371322.\nAnswer: 2, 3, 7, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*k**2 - k**2 + 26*k - 2*k**2 + 0*k.\nAnswer: 2*k**2 + 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 208112.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a factor of 1999161000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -201. Let i = o + 158. What is the smallest common multiple of 56 and i?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 223.21 - 219. Let j = -12.8 - -8.5. Let f = t + j. What is the biggest value in 1, f, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/3 + 77\/(-21). Let y be (8 - 0) + 9\/m. Is y bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 5:59 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 102?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of 0*v + 4\/45*v**5 - 4\/45*v**6 + 93*v**2 + 0 + 7\/36*v**4 + 1\/9*v**3. Factor k(f).\nAnswer: -2*(f - 1)*(4*f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, -36951 in descending order.\nAnswer: 6, -1, -36951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33220 by -8305.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -146 + 218a1a8?\nAnswer: 218a062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxmx when four letters picked without replacement from {m: 6, o: 1, q: 3, x: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 313*q**2 + 39*q + 9. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54978213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 12:10 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 22?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 22. Let n(b) = 0*b**2 + 13 + 0*b**2 - u*b + 3*b**3 - b**3. Let v(m) = m**3 - 6*m + 6. Determine 6*n(w) - 13*v(w).\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2793421 (base 10) in base 12?\nAnswer: b28691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 728 = -i + 785, 36*g + 4*i = 35*g + 144 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -5, 3, 29\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -5. Suppose 5*u - 5 = -x, 5*x + z*u - 5*u = 115. Is x a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5905\/6 - 984. What is y in 1\/6*y**2 - n*y - 1\/3 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -203 - 310121031?\nAnswer: -310121300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 13 - 4 - 42.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11986065 and 117?\nAnswer: 11986065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - 7*r**2 + 6*r - 7. Let p be g(6). Let c(z) = 5*z**2 - 15*z - 6. Let n(b) = 2*b**2 - 7*b - 3. Let k(t) = p*n(t) + 3*c(t). What is k(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1145 (base 6) to base 7\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3768 + 660 = 0. Which is greater: 0 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**2 + 2*t + 1. Let b(u) = -23*u + 2 - 2*u**2 + 26*u - u**2. Let m(s) = -4*b(s) + 6*f(s). What is the derivative of m(z) wrt z?\nAnswer: -12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*p + 4 - 8 + 2 + 0.\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19304000 to the nearest one hundred thousand.\nAnswer: 19300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 l when four letters picked without replacement from llwwlwlwlwwl.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7128 divided by 95627?\nAnswer: 7128\/95627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 9*j**2 - 67*j + 154. Let k(a) = 19*a**2 - 137*a + 309. Let r(u) = 9*i(u) - 4*k(u). Determine t so that r(t) = 0.\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -115389\nAnswer: 5\/115389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 10*x**2 - 8*x. Let y(u) = -2*u**2 + 4*u - 4. Let f be y(3). What is the units digit of d(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**4\/6 + 11*y. Let c(x) = 9*x. What is m(c(z))?\nAnswer: -162*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2.2 or -935\/3?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2061*o + 458. Let p be d(0). Solve p*t - 473*t = -15 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6 - 420\/75)\/(8\/5 - 2). Let u be 30\/4*(-4)\/(-5). Let w be 18\/(-8)*(-4)\/u. Which is the third smallest value? (a) i (b) -0.03 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**2*p*p)\/p)**(-6\/29) assuming p is positive.\nAnswer: p**(-6\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 2*(sqrt(792) - -2*sqrt(792))\/(sqrt(121)\/sqrt(11)*1)))**2.\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (23 + -19)) + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g**2 - 6*g. Let r(s) = 9*s + 14*s**2 + 11*s + 4*s**2 - 2*s. Let o(b) = -7*d(b) - 2*r(b). What is the second derivative of o(u) wrt u?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 9:55 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 4, k: 1, o: 2}. Give prob of picking 1 k and 1 o.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 165779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 396*p + 21391. Calculate f(-54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 101*x - 109*x - 4.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(1\/7))\/y*y**2*y*y**(2\/15)\/(y\/((y\/(y*y\/(y**(2\/11)*y)*y*y))\/y)) assuming y is positive.\nAnswer: y**(-626\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -14*y. Suppose y = -12*u + 169 + 35. Let c = u + 32. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19344685?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 17. Let j be k(-4). Let u be (j + (-2 - -1))*(10 + -12). Suppose u*q - 914 = -10. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) + (-188)\/517\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17590908?\nAnswer: 2, 3, 157, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + 2 + 8 + 1 + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 202 + 573. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32*(21\/((-945)\/(-18)))\/((-18)\/45)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/27)\/(((-9)\/3)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 5*c**6\/6 + 3*c**5\/5 - c**4\/2 + 16. Factor l(b).\nAnswer: b**3*(b + 1)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39899712 a multiple of 5097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2) + (-1 - -2). Find the third derivative of -z**2 - d*z**5 + 2*z**5 - z**5 wrt z.\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -14*b + 20. Let w(m) = m**2 - 3 - 2 - 3*m + b + 3. Let a = 8 - 4. Give w(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44664113.\nAnswer: 13, 3435701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/1377 and -137\/390.\nAnswer: 179010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29b08 + -2?\nAnswer: 29b06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160065909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1122 - -1?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6 + 13\/3. Suppose t = -t. Let w = 4 - 4. Solve t = -c - w + r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/5 (b) -4 (c) -0.5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13649.12877 - -1.59\nAnswer: 13650.71877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32*r - 12*r - 1 - 14*r**2 + 1 wrt r?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 3:27 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (27 - -8) + -16 - 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 4*g + 2*g + g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 30 = 4*m. Let h be (54\/30)\/((-6)\/(-20)). What is the lowest common multiple of m and h\/(-21) + (-51)\/(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-2)\/q))**30\/(((q**0*q)\/q)\/(q\/(q*q**(-11))*q*q)) assuming q is positive.\nAnswer: q**133","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 157169758 or 157169757?\nAnswer: 157169758","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**3\/8 + 14043*g**2\/8 - 205020*g - 17970309\/2 = 0. Calculate g.\nAnswer: -4794, -34, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, 3\/13, -0.06.\nAnswer: -0.8, -0.06, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gs when two letters picked without replacement from xdsdxddgdxgd.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*a - 14. Let v = a - 12. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -732410, -1464883, -2197356, -2929829, -3662302, -4394775?\n\"Answer: -732473*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 y when four letters picked without replacement from {c: 10, y: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*((-48)\/8)\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 + -11.7394844.\nAnswer: -5.7394844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-248 + 346 + 91)*(-2 - 12 - 2)*(5*i**3 + 2 - 2) as d*i**3 + k*i**2 + c*i + q and give d.\nAnswer: -15120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 - -3) - -2 - 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -179761078 by -226.\nAnswer: 795403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*-2*sqrt(1573)*-5 - (sqrt(1573)*-1 + -4 + 3*(1 + sqrt(1573) + sqrt(1573)) + sqrt(1573) + sqrt(1573)))**2.\nAnswer: -594*sqrt(13) + 1146715","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 26*u - 7 + 7 + 21*u to v*u**2 + a*u + t and give a.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6067224 divided by 2022408?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 5*l + 10. Let i be k(7). Let p(o) = 6*o**2 + 17*o - 8. Let m(f) = -2*f**2 - 6*f + 3. Determine i*p(g) - 11*m(g).\nAnswer: -2*g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1677 or 1616?\nAnswer: 1677","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**5\/20 + f**4\/3 + f**3\/3 - 3*f**2\/2 + 449*f. Determine k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*h**2 - 12*h**2 - 68*h - 76*h wrt h?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5905 + 311*z - 8259 + 2353.\nAnswer: 311*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.9*2.9.\nAnswer: -11.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + -381.573717203.\nAnswer: -381.173717203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**5\/20 - 13*r**4\/6 + 31*r**2\/2 + r. Let h be (330\/(-275))\/(3\/(-65)). List the prime factors of d(h).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 899 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71254684, 71254552, 71254408, 71254246, 71254060, 71253844, 71253592?\nAnswer: 71253298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-254)\/(-3) - (-8)\/12*-1. Let y be (6\/9)\/(p\/(-54)). Is y less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1\/4, 1, -2\/19 in descending order.\nAnswer: 1, 1\/4, -2\/19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3442?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*c**4*f + 101526*c**3*f**3 + 844*f**3 + f**2 - 481*f + 3 wrt c?\nAnswer: 16*c**3*f + 304578*c**2*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -4, -5, -8 in decreasing order.\nAnswer: 22, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15f5d7 + 9?\nAnswer: -15f5ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -4\/9, -0.4, -9\/2, -708?\nAnswer: -708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttutu. What is prob of sequence tuu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191760 is divided by 524?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*v + 14 = 0, -2*z = -17*v + 16*v + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 + -2 + (9 - 12) + 28 + -25?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5)*w*w*w**6)\/(w**0*w*w)**10*(w*w*w\/w**(-2\/3)*w*w*w\/((w*w**1\/w)\/w)*w)\/(w**(3\/2)*w**6) assuming w is positive.\nAnswer: w**(-101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 304534247305 - -324.5.\nAnswer: 304534247629.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 12:47 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 33 + -61 + 33\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 392.452 + -392. Let k = 0.514 - c. What is k rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1791, -3700, -5611, -7524, -9439?\n\"Answer: -o**2 - 1906*o + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 10, j: 2}. What is prob of picking 1 w and 1 j?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42655546*k**4 - 212301297*k**2 wrt k.\nAnswer: 1023733104*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 3*j**2 + 7*j - 7. Let a be h(2). Suppose -a*p = 13 - 22. Suppose -w - 32 = -k, -2*w + p = w. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 13009 = 3*d, -5*d + 434*w - 430*w = -21731. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68361523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -4*y + y - 352726, 176362 = 2*d - 2*y. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292389.3 rounded to the nearest 100?\nAnswer: -1292400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 7. Let x(o) = -o**2 - 24*o - 141. Let l be x(-12). Let c = 5 - 0. Suppose -l*j + 12 = -c*j. Calculate p(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -757, -964, -1307, -1780, -2377, -3092, -3919?\n\"Answer: l**3 - 74*l**2 + 8*l - 692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.022? (a) -2\/17 (b) -0.07 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13874695 is divided by 113727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -7\/3*g - 3*g**2 - 1\/3*g**4 - 2\/3 - 5\/3*g**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -209 - -212. Let u(d) be the first derivative of d**2 - d + 1\/3*d**x - 2. Give u(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2997*l + 77535. Give g(26).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 47637\/(-316)*(-16*1 - -4). Which is the smallest value? (a) 1\/2 (b) 0 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 36\/27 + (-3298)\/1416. Let b = 483\/2596 - y. Let k = -2 + 2. Which is greater: k or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5*u**3 - 4*u**2 - 4*u + 6. Let h(o) = -6*o**2 + 17 - 574*o**3 - 5*o**2 - 11*o + 559*o**3. Determine -11*d(w) + 4*h(w).\nAnswer: -5*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -2) + 6 + -24 + 19\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, 152, 0, 4, -35 in increasing order.\nAnswer: -35, 0, 3, 4, 15, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 u when two letters picked without replacement from uywvvwywyvwwwvu.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*f**2 + 15*f - 15*f.\nAnswer: -37*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 3, -2\/249?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 4 = 7*z, -z = -2*i + 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 1 = -35*d + 3*j, 2*d - 2 = 2*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 14186 (base 9) to base 4\nAnswer: 2112210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11652.\nAnswer: 2, 3, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 3*c + 4*c - c - 1 - c - 1 + (3*c - c + 0*c)*(-2 + 13 + 1) to the form f*c + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**3\/6 + o**2 - 3*o. Let l be r(2). Solve -2*a - c = a + 12, -4*c - l = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8375787*x**4 - 4*x**2 - 107*x + 63 wrt x?\nAnswer: 201018888*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 1.2. Let c be 1\/(-4)*8\/6. What is the closest to c in u, 2, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3637056*z = -3637052*z + 80 for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/6 and -53\/385636.\nAnswer: 1156908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -38 + 194a?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, 5 in descending order.\nAnswer: 5, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + -32a4?\nAnswer: -32b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1322332 + -45.9\nAnswer: -1322377.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2362*q**4 + 2359*q**4 - 4719*q**4 + 23*q**2 - 995*q**3 wrt q?\nAnswer: 48*q - 5970","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191863 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**3 - 2 + 2 + (-3*q + q + q)*(2*q**2 + 0*q**2 - 3*q**2) + q**3 - 2*q**3 - q**3)*(-2 + 1 + 4).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 4 - (-4 + (28 - (-36 - -69)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 - 2*b**2 + b - 2. Let v be g(2). Solve 2*c = -v*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 75 + 79. Suppose n - 3*y = -8, 5*y = 4*n - 3 + 14. Solve -n = -f*u + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 1. Let s(h) = -h - 11. Let r(d) = -d - 6. Let n(z) = -7*r(z) + 4*s(z). Let l = -6 - -9. Let m(k) = l*n(k) + 2*q(k). Calculate m(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - m. Let w(x) = x**3 - x**2 + x. Give 2*t(c) + 2*w(c).\nAnswer: 4*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 7:41 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = 128. Let m = 41 - t. Suppose -6533 = -m*z - 5*b, 470 - 3750 = -2*z + 2*b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 13. Let h(f) = -9*f - 18. Let y(k) = 4*k + 9. Let x(l) = 3*h(l) + 7*y(l). Let d be x(b). Put 4, -2, d in decreasing order.\nAnswer: 4, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30\/2431231 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.47 - 1.53. Which is the nearest to -2\/9? (a) -4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -61*l + 48*l. Sort 5, -4, -181, l.\nAnswer: -181, -4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4645, -4346, -4047, -3748?\nAnswer: -3449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77994, -78068, -78142, -78216?\nAnswer: -78290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide (-25 + 37)\/((-3)\/(-20))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1446401333 and 24908?\nAnswer: 6227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-1 + sqrt(99) + -5 - (2 + 1*sqrt(99) - sqrt(99))))**2 + (sqrt(99) + 2*1*sqrt(99))**2*-3 + -5 + -3.\nAnswer: -2546 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-4)\/m))**37)**38*((m*m\/(m**(-6)*m))\/m**(-9\/4))**(-28) assuming m is positive.\nAnswer: m**8177","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u**2 + 10*u = 0. Calculate u.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2 - 11 + 9 - 2*n**2. Let w(l) = 36*l**2. Give t(w(x)).\nAnswer: -2592*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -861*c**3 + 41*c**2 + 861*c - 41. Let w(r) = 43*r**3 - 2*r**2 - 43*r + 2. Let f(k) = 2*m(k) + 41*w(k). What is the second derivative of f(o) wrt o?\nAnswer: 246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 19 (b) -1\/5025 (c) -2 (d) 3\/7 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + a = -28, -22 = -0*z - 3*z + a. Calculate the remainder when 84 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 0 = -25. Let i(z) = -45*z**3 + 180*z**2 - 16*z - 5. Let l(b) = -8*b**3 + 32*b**2 - 3*b - 1. Let c(d) = -5*i(d) + 28*l(d). What is c(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7689 + 92341\/12. Let u = -601\/4 - -157. Let f = u - w. Which is the third smallest value? (a) -1\/3 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/78*(-11 - -32)*12\/14.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17900, 17938, 18042, 18212?\n\"Answer: 33*a**2 - 61*a + 17928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 9*k**2 + 41*k - 7. Is y(15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78 + 93 - 171 - 642*r**2.\nAnswer: -642*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 + 45. Let o be (3\/20)\/(c\/(-36)). What is the closest to -2\/3 in o, -0.3, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 4*o - 10140 = 0. Let h = -1225 - 510. Let l = h - o. What is l rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k. Suppose 5*h + 18 = 43. Suppose 4 = -o, 4*m + h*o = -m. Let r(j) = 3*j - 2*j + m*j + j. Determine r(f(d)).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of z**8\/10080 - z**7\/630 + 13*z**5\/20 - 44*z**2 + 1. Let t(g) be the third derivative of w(g). Solve t(p) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in -4, -1, 0.4, 1\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24224\/20 - (-2)\/(-10)?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j - 17. Let r(v) = 31*v - 51. Let o(u) = 11*d(u) - 4*r(u). Let h be o(-4). Find the common denominator of h\/12 - (-3 - -3)\/2 and 17\/33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -1) + (-1200)\/(-280)*(-14)\/(-6). Let z = -8 + 4. Which is the closest to q? (a) 2\/7 (b) -1\/8 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2165.777um?\nAnswer: 0.000002165777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1) + (-7 - (11 - (-2 + 19)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -26457, 5 in decreasing order.\nAnswer: 28, 5, -26457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2173.\nAnswer: 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/9 of a hour?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*l + 39, 5*s + 15 - 42 = -l. Let i = 2308 - 3894. Is s\/9 - i\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 6:15 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*1\/22)\/((-10)\/40).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5868 + 5861.2524. What is q rounded to 2 dps?\nAnswer: -6.75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -227*f**2*q**4*z - 2*f**2*q**3*z - f**2*z + q**2*z + 10*q*z wrt q.\nAnswer: -5448*f**2*q*z - 12*f**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) -1 (c) 0.4 (d) -37.6 (e) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*l - 10, 4*l - 19 = -7*y + 6*y. Solve 0 = -y*j + 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2445, 2425, 2395, 2355, 2305?\n\"Answer: -5*t**2 - 5*t + 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - -0.04433.\nAnswer: 8.04433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 673*u - 26830. Let k(c) = 3*c**2 - c + 2. What is the least common multiple of k(-4) and j(40)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119, 175, 163, 83, -65?\nAnswer: -281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 6.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3.64*-2.342\nAnswer: 8.52488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202 + 688 = -76*x - 326 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q - 7. Let f be v(6). Solve -f*g = -20 - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(25\/4)*x*x**(2\/9)*(x\/(x*x**8))**11 assuming x is positive.\nAnswer: x**(-2899\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 3406\nAnswer: 1\/3406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a millennium?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 377602399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 - 114*i + 1586. Give p(10).\nAnswer: 946","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 18131312*n + 3047. Let j(w) = -11905*w - 2. Calculate -3047*j(f) - 2*l(f).\nAnswer: 11911*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -113?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 x when two letters picked without replacement from xllzqllxllqll.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k + 4 + 30 = 0. Let y = k + 32. Let a = 39 - 21. What is the greatest common divisor of a and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15418\/208 - 74)*((-168)\/13)\/(-3).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 0 - v**2 + 3 + 3*v + 0. Let m(k) = -12*k**2 + 32*k + 32. Calculate -3*m(o) + 32*t(o).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = -8*i - 28. Let d = 20 - 21. Let l(v) = v**2 - 1. Let s(r) = -3*r**2 + 2*r + 2. Determine d*s(w) + i*l(w).\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/17 + 53\/17. Suppose 5*z - 105 = -2*p, 0*z - 47 = -f*z + 2*p. Suppose -2*g = -q + 54 - z, g = 3*q - 115. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -t - 4*t + 38 - 46, -3*t - 37 = -4*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -596, -1340, -2382, -3722?\nAnswer: -5360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 0, 6\/5, 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 157.57663 and -319453?\nAnswer: 319610.57663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 2*c + 2 = 0, -o - 2*c + 3*c - 1 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + -64 + 26 - (1 - -21).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6996 divided by -1166.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-1) - 91\/28. Let n(b) = -4*b + 1. Let p = -10 + 11. Let f be n(p). What is the second smallest value in i, f, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328287090 rounded to the nearest one hundred thousand?\nAnswer: -328300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -338*z**2 - 2. Let o(s) = -2*s. Calculate m(o(f)).\nAnswer: -1352*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597506 divided by 3.\nAnswer: -597506\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - -134?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125114*y**2 + 125114*y**2 - 144*y - 40*y**4 wrt y?\nAnswer: -480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-1071.177\nAnswer: -3213.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*p*s**2 + 2*p*s + 2*p - 2*s**2 - 41 with respect to s.\nAnswer: 4*p*s + 2*p - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 - 131*x - 851. Calculate f(-8).\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19925320 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 + 1bcb6?\nAnswer: 1bcdc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4798 - 4504. What is the lowest common multiple of a and 77?\nAnswer: 3234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 3*f + 1. Let m be g(3). Let y be (-69)\/24 + 2 + 1. Let t = -3\/8 - y. Which is the nearest to 2? (a) t (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 412 and 19570.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - 7 - (-7 - (-17 + 27)). Put 45, 7, 4, j, 0 in decreasing order.\nAnswer: 45, 7, j, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 175 + -254. Let k = -78.9 - y. Let x = -8 + 4. Which is the closest to k? (a) -2\/15 (b) -2\/5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*u**4 - 2 + 8*u - 8*u + 6 wrt u.\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + d - 22, -2*s - 8 = d. Let a(g) = g**3 + 4*g**2 - 8*g - 7. Give a(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*w**4\/2 - 129*w**3\/2 + 2781*w**2 - 19926*w + 43092 = 0. Calculate w.\nAnswer: -133\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.4? (a) 18 (b) 3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233 = -3*r - 5*m, -5*r + 4*m - 415 = -m. Let n be ((-9)\/r - (-2)\/9)*12. Solve -2*k + 0*k + 16 = -n*u, 2*k - 1 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9 + 2 - 7 + (-2 + 1 + 2)*(-2 - 1 - 8) + 2 + 0 - 1 + 9 + 6 - 4)*(b + b - 4*b) as n + i*b and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18717 + -112187\/6. Find the common denominator of -43\/102 and r.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6496)\/(-43120)*-77)\/((-1)\/(-10))\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z + 45 = -18*z. Solve -2 = -2*h, -4*k + k + z*h = 17 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 19440176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 147 + -141. Is n at most as big as 49\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/9 + q\/9 + 10\/3.\nAnswer: -(q - 6)*(q + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -14*o + 32. Differentiate 3*x - x**3 + 11*x - 13*x - 43 - o*x wrt x.\nAnswer: -3*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/7 (b) 4\/9 (c) 3 (d) -0.2 (e) 320 (f) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 3*f = 11664, -3*i = -14*f + 15*f - 11684. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -127.9679329 to one decimal place.\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -26. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.19595052 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -410000 rounded to the nearest ten thousand?\nAnswer: -410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0689, 1, -2\/1749?\nAnswer: 0.0689","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3477982, 6955955, 10433928, 13911901, 17389874, 20867847?\nAnswer: 24345820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2.07191, 3, -3\/8, -0.5, 2 in ascending order.\nAnswer: -0.5, -3\/8, 2, 2.07191, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, o: 1, z: 1, r: 1, h: 2, c: 2}. Give prob of picking 2 r, 1 q, and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/135 and 43\/12791925?\nAnswer: 12791925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 4536552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 17) + 9 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6208 or -6210?\nAnswer: -6208","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/17? (a) 1 (b) 0.3 (c) -43\/3 (d) 0.07 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 112, 235, 362, 493, 628?\n\"Answer: 2*l**2 + 117*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 302 a factor of 1823476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -84905.18 and -1890218.\nAnswer: -1975123.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = -71 - 34. Let l be ((-2)\/(-4))\/((-1)\/(-180)). Calculate the highest common divisor of c and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 5*g**2 - g + 24. Let h(l) = 173*l + 2426. Let j be h(-14). Determine u(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 12*j**2 + 10*j + 25. Give o(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -611980*a**2*i**2*l**2 - 31*a**2*i**2 - 303*a*i**2*l**2 - 50087*a*i*l + l**2 wrt a?\nAnswer: -1223960*i**2*l**2 - 62*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (0 - -1))\/2. Suppose b = v + 5*z - 42, 0 = -3*v - 0*v + 4*z + 88. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2*12\/18. Solve -4 = -a*i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -16*q + 607*q**2 + 12*q - 232*q**2 + 2. Is t(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*n**2 - 4 + 4)*(4 + 1 - 4) + 0*n**2 - n**2 - n**2)*(18*n - 618 + 618)*(-90 - 84 - 2*n**2 - 2*n + 171).\nAnswer: -36*n**5 - 36*n**4 - 54*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32507.560083 + 32508. Let r = 31.44 + -31. Let h = y - r. Round h to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 - 8 = 0. Suppose 125 = 2*k + b*k. What is the tens digit of 1\/1*(-8 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36405153709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/((-70)\/(-4)))\/((-13)\/65*4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 4*l**2 - 23*l - 78. Let p = -154 + 224. Calculate the smallest common multiple of p and v(-4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7775 and 978?\nAnswer: 7603950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -87. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -205, -684, -1615, -3148, -5433, -8620, -12859?\nAnswer: -18300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, 2146\/67, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**3\/7 + 2686*y**2\/7 + 2155805*y\/7 + 2153118\/7 = 0?\nAnswer: -646, -1, 3333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 2133000 to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, -17, -75, -133?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -13*b**3 - 14*b**2 + 21*b - 37. Let w(y) = 9*y**3 + 9*y**2 - 20*y + 35. Let q(m) = -2*l(m) - 3*w(m). What is q(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.792 times -145?\nAnswer: -114.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 7*i**2 + 9*i + 1. Let l be w(-6). Let o be 1\/((-1)\/(-3) - (-140)\/(-357)). Does o = l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4\/7 + 175995*w**3\/7 - 175988*w**2\/7 - 150852*w = 0.\nAnswer: -2, 0, 3, 175994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 7. Let x be r(2). Which is greater: x or 3\/23?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, z: 2, i: 1}. Give prob of sequence miz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 15*f. Let g(z) = -2*z. Let m(q) = -15*g(q) - i(q). Let n(b) be the first derivative of -7*b**2\/2 + 4. Calculate -6*m(h) - 13*n(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61869100.\nAnswer: 2, 5, 199, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from kpzjyjjpipk?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 567889080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 155, 239, 323, 407?\nAnswer: 491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, t: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.54, -192064, -4\/3 in descending order.\nAnswer: -4\/3, -3.54, -192064","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 48260000 to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -14302 (base 6) in base 14?\nAnswer: -b82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 2*a = 46, -3*a = 258*f - 260*f + 7. Suppose -4*c = -53 - 39. Solve -5*g + c = f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.03 + -1.13. Let n = u - -2.1. What is the second smallest value in 3, n, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5521\/117 + -469\/9. Let s = u - -296\/39. Determine r, given that -98\/3*r**4 + 76\/3*r + 301\/3*r**3 - s - 82*r**2 = 0.\nAnswer: 2\/7, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 2\/35061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 73*y + 894 = 503, -2*j - y = -47 for j.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - -8450?\nAnswer: 8443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -1\/300*h**6 - 1\/525*h**7 + 0 - 3*h**2 + 0*h + 1\/150*h**5 + 1\/60*h**4 + 0*h**3. Let z(n) = 0. What is n?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -32 (b) -2\/7 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77465274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 61853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than 0.512091266005?\nAnswer: -0.487908733995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25*y**2 - y + 145 wrt y.\nAnswer: -50*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i**2 - 31*i**2 + 14*i**2.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77911*d + 78996*d - 45570 = 0 for d.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/66285 and 64\/135.\nAnswer: 66285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 0*d + 0*d)*(-3 - 10 + 20) - 2*d + 0*d + 0*d.\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 134 - -4112114?\nAnswer: 4112303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of -5*k**4\/2 + k**2\/2 - 4*k + 13. Is l(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6 + 11 + 116*i**3 - 16 - i**2. Does 26 divide t(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**5 + 12*w**5 + 53*w**5 + (-3*w**2 + 3*w**2 - w**2)*(-2*w**3 + w**3 - w**3) + 5*w**5 - 4*w**5 - 2*w**5 - w**2 - 3*w**5 + w**2.\nAnswer: 63*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0.4, -50, -0.1 in ascending order.\nAnswer: -50, -2, -0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 224*q - 465*q + 244*q.\nAnswer: 3*q + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.573 - -0.073. Which is the nearest to 3? (a) -5 (b) t (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -38. Let u = 10017 + -60661\/6. Let p = u - -93. What is the nearest to -1 in p, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54518 or 130?\nAnswer: -54518","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**5 + 267*x**4 - 4251*x**3 - 27687*x**2 - 13566*x + 45240 = 0. What is x?\nAnswer: -4, -2, 1, 29, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 0.059 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 6) in base 11?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**2\/9 + 20*s\/3 - 58\/9 = 0.\nAnswer: 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**3 - 96*l**2 - 64*l - 1671. Determine n(49).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 297539 (base 11) to base 8\nAnswer: 1611733","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 265753189 divided by -1063?\nAnswer: -250003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20208 and 4631?\nAnswer: 222288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 + p**2 - 1. Calculate the smallest common multiple of f(-1) and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40775 times -0.8?\nAnswer: -32620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**42\/t*t**(-7)*t)**(-1\/45))**(-3\/16) assuming t is positive.\nAnswer: t**(7\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 1096146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 143711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 994859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1c794 - b?\nAnswer: 1c789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20980 divided by 3372.\nAnswer: -5245\/843","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = s - 287. Let q be -4 - (1\/(-4))\/(22\/s). Let u = -4 - -3.9. What is the closest to u in q, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**3 - 29*n**2 + 20*n - 20. What is k(9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -12. Suppose -220 = -a + 3*p, l*a - 58 = -p + 361. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*k = -28, k - 91 = -3*x - 0*k. Suppose 10*j + 16 = 46. Suppose 6 + x = j*m. What is the lowest common multiple of 8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - y)*(-1 - 13*y**2 - 12*y**2 + 31*y**2) + (-4*y**2 + 9*y**2 - 6*y**2)*(-1 + 1 + 2*y) to the form z*y**3 + w*y**2 + r + p*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1 (c) 1\/3 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 0.1. Let q = r + -5. Suppose 0 = -29*t - 11*t - 98*t + 13*t. Sort t, q, 3 in decreasing order.\nAnswer: 3, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69, 68, 67, 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000072956 rounded to seven decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 1\/7 (c) -0.3 (d) 4\/11 (e) 2\/265\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 52\/6*(6 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 344\/15 + -70\/3. Let f = -18 + 18.04. Let o = f - 1.04. Which is the nearest to o? (a) l (b) 0.1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 58*g**2 + 104*g - 516. Determine u(-56).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 4*t**2 + 3*t - 1. Let x be l(4). Let w = x + 12. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 29, 77, 157, 275, 437, 649?\nAnswer: 917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + 6*k + 7. Let m be g(6). Let d(a) = 4*a + 8. Let o be d(m). Suppose -4*p = -7*p + o. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + -140. What is the nearest to 2\/7 in -2, d, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11685, 11683, 11681, 11679, 11677, 11675?\nAnswer: 11673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.062 and 0.122389.\nAnswer: -0.007588118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**20)\/x)\/x*x*x*x\/(x*x\/x**(4\/23)) assuming x is positive.\nAnswer: x**(-456\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**(2\/11)*g)\/g**0)\/((g\/(g*g\/g**(-2\/3)))\/g**(-1\/3))*((g**(1\/4)*g)\/(g\/(g\/(g\/(g\/g**(-6))))))**5 assuming g is positive.\nAnswer: g**(5333\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(3\/4)*y**(2\/13))\/(y\/y**(2\/7)*(y\/(y**(2\/5)\/y))\/y)*(y**(-1\/2)*y\/(y*y**7))**(-7\/5) assuming y is positive.\nAnswer: y**(17453\/1820)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43493188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 118*f - 27629 = 117*f, 0 = -4*i + 3*f + 55263. List the prime factors of i.\nAnswer: 3, 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 26*z - 25*z - 520794 = 0, -p - 130176 = -4*z. Round p to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -10 + 4 + (-1 - -2). Is -6 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32\/5*q**4 + 88\/5*q**3 + 36\/5*q - 96\/5*q**2 + 4\/5*q**5 + 0.\nAnswer: 4*q*(q - 3)**2*(q - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18325052 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25824 (base 11) to base 7.\nAnswer: -212446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, y: 2, c: 1}. What is prob of picking 1 y and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 6*b**2 + 2*b - 8. What are the prime factors of n(2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1350.57138 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46000 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*k + 10*k**3 - 14*k)*(3*k - 4*k + 3*k) - 5*k**4 + 2*k**4 + 0*k**4.\nAnswer: 17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4656189 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -30*o**3 + o - 9. Let h be w(-3). What is the greatest common divisor of 42 and h?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 2 - 2*h + 2*h**2 + h + 5*h**2 in the form y*h + u*h**3 + b*h**2 + z + w*h**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6125, -12250, -18375, -24500, -30625, -36750?\nAnswer: -42875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 184.9. Suppose 0 = 3*i + 1 - 40. Suppose -4*a + 14 = 3*s, -4*a - i = -33. Put s, u, -3 in descending order.\nAnswer: u, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 333137\/6 or 55523?\nAnswer: 333137\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55945 and 33835?\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 3*f + 9 = 0, -2*z - 165*f = -166*f - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1043898 is divided by 110.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1905, -3811, -5715, -7617?\nAnswer: -9517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 37 = 5*x, -98660*x = -98658*x - u - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - -17. Let x = z - 20. Solve 4*g + 8 = u, x*u - 5*g + 0*g - 13 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 519437921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4, 0.4, 1\/2, 0.07, -11.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -4*i**4 + 3448*i**3\/3 - 15964*i**2 - 305752*i\/3 - 130720 = 0.\nAnswer: -3, -2, 20, 817\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304.81 - 317.81. Let c = -33.13 + 33. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110000001111101101111 (base 2) to base 7.\nAnswer: -100042235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaua when four letters picked without replacement from {a: 8, u: 7, q: 5}.\nAnswer: 49\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 10:05 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/36 - (-102)\/27. Solve 35 = -x*u + 3*j, j = -u - 3*u - 15 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 43.440089 to 0 decimal places.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9248788 rounded to 2 dps?\nAnswer: 6.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1146.3 - -1146. Sort -13, 0.4, t, 0 in increasing order.\nAnswer: -13, t, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 19*d - 6. Calculate b(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 6 + -13 + 6 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 4 - 7*w + 2*w + w - 1. Let p(r) = -3*r + 3. Suppose 5*z - 30 = -0*z. Calculate z*p(i) - 5*g(i).\nAnswer: 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b. Let n(q) = 12*q. Let v(j) = -2*a(j) - n(j). Let s(w) = 893*w. Calculate s(v(u)).\nAnswer: -1786*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 938784 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let l(x) = -x**3 + 3*x**2. Let u be l(2). Let s(i) = -4*i**2 + u*i**2 + i**2. Determine n(s(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 6*g**2 - 9*g + 1. Let f(z) = -z**2 + z. Suppose 0 = 41*b - 40*b - 1. Determine b*i(q) + 6*f(q).\nAnswer: q**3 - 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 36387 divided by 13\nAnswer: 2799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.01 (b) 53 (c) 1\/3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 10*n - 21. Suppose 72*o - 46*o - 312 = 0. Give s(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) - 960\/18. Let k(o) = 21*o - 4. Let l be k(-5). Let t = q - l. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540 by -2.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 12:38 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u + 22229 = -136*u - 3*g, 2*g - 8898 = -2*u. Is u less than 4447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456361 (base 7) in base 15?\nAnswer: 19221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 18*n**3 + 179128 - 179134 + 11*n**3 + 3*n - 32*n**3.\nAnswer: -39*n**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. What is the third biggest value in 5, -1, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*f + (-1 + 1 + 2*f)*(3 - 4 + 3) + 3*f - f - f + (4*f - 3*f - 12*f)*(2 + 5 - 3).\nAnswer: -41*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*o = x - 40, 0 = x + 5*o - 15. Let g = -55 - -39. Let i = x - g. What is the remainder when i is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1 (b) 0 (c) -1\/916 (d) -21 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 7*w - 8. Determine t(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 11381635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.48 - 0.48. Which is the closest to 1? (a) u (b) -2\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.40422 millennia to decades.\nAnswer: 6140.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w + 0*w**3 + 2*w**3 - 2 + 0 + (-4*w**3 + 0*w**3 + 5*w**3)*(-4 - 2 + 4)*(9 - 6 + 12).\nAnswer: -28*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21 = 244*z - 242*z, -z + 12 = 3*x. Sort -6, 0, -1, -5, z in descending order.\nAnswer: z, 0, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) -149 (c) -11 (d) 4 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.66 - -0.06. Put 1\/3, -5, l in descending order.\nAnswer: 1\/3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 17*q = 20*q, 2*q + 13 = -3*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 499793?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/2 + 29741*t\/2 - 59490.\nAnswer: (t - 4)*(t + 29745)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, -68, -10, 3 in decreasing order.\nAnswer: 20, 5, 3, -10, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 235, 337, 437, 535, 631?\n\"Answer: -u**2 + 105*u + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**4\/12 + 19*w**3\/6 + w**2\/2 - w + 16. Let b be m(19). Is b bigger than 4\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 190 = -7*g. Does 19 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.23 and -99.\nAnswer: -22.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:45 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 354128.3ml to litres.\nAnswer: 354.1283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 264*n**3 + 271*n**3 - n + 3*n**2 + 3*n - 536*n**3. Let u be (0 + (-1 - -2))*2. Let j(f) = 6*f**3 - 16*f**2 - 10*f. What is u*j(i) + 11*w(i)?\nAnswer: i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -844 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39061439 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -3*w**3 + 5*w**2 - 11. Let m be (-2)\/4 - (-266)\/(-28). Let t(u) = -u**3 + u**2 - 1. Let r(q) = m*t(q) + 2*y(q). What is the derivative of r(j) wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 569*o**6 - 2*o**4 - 2*o**3 + 1697*o**2 - o wrt o?\nAnswer: 68280*o**3 - 48*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 598, 1279, 2036, 2869, 3778?\n\"Answer: 38*v**2 + 567*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 196314697 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -2)*2\/(-8). What is the fourth biggest value in n, -3\/10, 1\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 z when two letters picked without replacement from {m: 1, g: 12, b: 1, f: 2, z: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 122256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.007 and 3.45.\nAnswer: -0.02415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.027 to one dp.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 - 44 - (22 - 62).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*m**2 + 67*m**2 + m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -73 - -74. Which is bigger: -18 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 4*p - 4*p**3 - 4*p**2 + 3*p**2 + 7*p + 5*p**3 in the form l + f*p**3 + a*p**2 + w*p and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7927*s**3 - 5*s**2 + 20*s + 5. Let u(y) = 27744*y**3 + 18*y**2 - 72*y - 18. Calculate -18*b(i) - 5*u(i).\nAnswer: 3966*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9648.9 + -9649. Put 6, c, -2, -1\/3 in decreasing order.\nAnswer: 6, c, -1\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*u**5 + 1224*u**4 + 28576*u**3 + 309568*u**2 + 1458240*u + 1887872 = 0. Calculate u.\nAnswer: -86\/5, -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -36, -79, -168, -327, -580, -951, -1464?\n\"Answer: -4*z**3 + z**2 - 18*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1013915588?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 11*p**2 + 71*p - 172. Let m(c) = 14*c**2 + 69*c - 173. Let d(z) = 2*m(z) - 3*u(z). Factor d(o).\nAnswer: -5*(o - 2)*(o + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 73245847*j**4 + 1663*j + 824?\nAnswer: 878950164*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 6:52 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15743 = 132*y - 19175 for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -68) + -44 - (-90)\/23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x + 6*x + 9 - 25. Put x, -17, 2, -3, 0 in descending order.\nAnswer: 2, x, 0, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*c*d*k**3*y - c*d*y + 1255*c*k**3 + 2*c*k**2 + c*k*y**2 - 3*c*y - d*k - 3*k**3*y**2 + 44*k**2*y wrt k?\nAnswer: 96*c*d*y + 7530*c - 18*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4541069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3109117.\nAnswer: 11, 23, 12289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/96*-27*4176\/54\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 71 + 397. Suppose -3*o + 3*w + 303 = 0, 4*w + s = 5*o - 41. Suppose 6*q - o = q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 62 = -5*l, 9085133*c - 74 = -5*l + 9085136*c for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 28*r - 29*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4050 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xxxxeex.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**6\/12 - 3*c**5\/2 + 71*c**4\/8 - 65*c**3\/6 - 75*c**2 + 250*c - 491. Solve o(i) = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 139*q**6\/120 - q**4\/12 - 37*q**3\/6 - 12*q**2 + 9*q. Find the second derivative of w(s) wrt s.\nAnswer: 834*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*n - 3*j*t + 363*j - 20709*n**3*t + 9*n*t + n - 266*t with respect to n.\nAnswer: 3*j - 62127*n**2*t + 9*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*l = -10*l + 11113 - 2713. What is the highest common divisor of l and 448?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - y = 3*a - 55, -3*y - 51 = -3*a. Let t = a - -3. Let g = 17 - 1. Calculate the least common multiple of g and t.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-16)\/(-14) - 1) + 65216\/142660. Let -b*i**2 - 21\/5*i - 6 = 0. What is i?\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of -z**5\/20 - z**4\/12 + z - 36. Suppose 3 = 3*i - 0. Suppose 6*g + 3*b = 3*g + 6, -3*b = -2*g - i. Calculate x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7385 + -3566945\/483. Let w be ((-29786)\/252)\/(184\/(-6)). Let k = w + v. Calculate the common denominator of 65\/2 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 777024 and 1824?\nAnswer: 777024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40337, 160946, 361961, 643382, 1005209, 1447442?\n\"Answer: 40203*q**2 + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/1820)\/(662\/6620)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1056174 divided by 7.\nAnswer: -150882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.8 in -2\/27, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -50, -101, -154, -209, -266?\n\"Answer: -n**2 - 48*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -30*a - 30*a + 29 + 58*a + a**2 + (-2 + 2 + 2*a)*(0*a + 2*a - a) + 12*a**2 - 24*a**2 - 24*a**2.\nAnswer: -33*a**2 - 2*a + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*-2 - (-7)\/5.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-6)*(-57)\/608\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 6\/7, 1\/4, 1, 18.31?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.4 and 794.\nAnswer: -1111.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120 + -1?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3247 - -5172. What are the prime factors of q?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*b + 4*b + 54 - 162 + 63 + 46 to the form h*b + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -6*l + 83. Let d be b(15). Let c(i) = -i**3 - 7*i**2 + 3*i + 9. Give c(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 - (8 + -8 + -10). Suppose -v*n + 42712 - 11120 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9709 and 10108.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 407 + 31. What is the common denominator of (b\/(-3))\/(-7 + 3) and 17\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*(m\/m**4)\/m*m**16\/m assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/17 + -31\/102. Which is the smallest value? (a) -2\/3 (b) l (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15.897 and -0.3.\nAnswer: -16.197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f + f - 15*f)*(5*f - f - 3*f + f - 2*f + 2*f + (-1 - 4 + 4)*(-1 + 1 + 2*f) + 4*f - 3*f - 2*f + 2*f - 2*f - 2*f - f + 3*f - f).\nAnswer: 22*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10051 - -442?\nAnswer: -5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1612.\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or 4\/95?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 68 - 9016\nAnswer: -8948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 142217 or 3\/5?\nAnswer: 142217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2049763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(1519 + (-2 - -4)). Let h = g + 5586. Suppose 1307 - h = -7*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11384440027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66376 and 1276.\nAnswer: 21173944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c*c\/(c\/(c*c\/(c**1\/c*c))))\/c)**(-49))**45*(c**(2\/3)*c)**(2\/3)\/(c**(-3)*c\/(c*c**(-6)*c)) assuming c is positive.\nAnswer: c**(-59543\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from vxa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-2))\/6*((-2150)\/15)\/(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -21. Let j = 9.3 + m. Let k = j - -1. Sort 2, k, 3 in ascending order.\nAnswer: k, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aala when four letters picked without replacement from {a: 4, l: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-275)\/(-110)*(1 + 19\/(-20)). Are n and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15172097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 - v**3 + v**3)*(-15 + 970*v + 10 + 3 + 1211*v).\nAnswer: -2181*v**5 + 2*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -326.1 + 327. What is the second smallest value in 0.3, r, 2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2422 + 2429. What is the third biggest value in 0.04, 5, 1\/3, g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 - 128 = -7*g + 54 + 33 for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -20*o**3 - 11*o**2 - 3 - 6 - 16*o**3 - 19*o + 35*o**3. Let j be y(-9). Solve j*h = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2156182*n - 10780911. Determine s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -68a - -7a5?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 17236cd3?\nAnswer: -17236cd5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*k - 201 - 749 = 520 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/((-168)\/32)*(465\/(-9486))\/((-10)\/9).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 - (0 - 26 - -3) - -6\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -23 - 77. Let y(a) = a**2 - a - 4. Let s be y(4). What is the highest common factor of s and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-9\/4)\/u*u*u\/(u*u**1)*(u**(6\/5)\/u)**(9\/4))**(-15) assuming u is positive.\nAnswer: u**42","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j - 4. Let z(y) = y**2 + 12. Suppose f = 6*f. What is the least common multiple of z(f) and n(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**6\/720 - h**5\/15 + h**4\/12 + h**2. Let x(j) be the second derivative of p(j). Let f be x(9). Is f equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.406 times -0.4?\nAnswer: -0.1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -10*b**2 + 10*b + b**3 + 0*b**3 - 9 + b**2. Let w be n(8). Let g(q) = q**2 - 7*q + 5. Let y be g(w). Let r(t) = t**3 - 4*t**2 - 6*t + 2. Give r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111011 (base 2) in base 15?\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/95)\/(((-392)\/(-35))\/28)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64747792027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -384 + 384. Solve 29*s - 31*s + 8 = 0, m = 5*n + 2*s - 33 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -89. Suppose 0 = 4*m + 3*o - 72, -2*m + 3*o = 2*o - 26. Suppose 3*r - m = 21. Calculate the highest common factor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1361766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 4:52 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*j**4 + 115*j**4 - 143*j**4 + (j - j + 3*j**2)*(2*j**2 - j**2 + j**2) + 24*j**4 + 3*j**2 - 3*j**2 to b*j**4 + y*j + h*j**2 + k*j**3 + n and give b.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {r: 1, g: 2, i: 3, z: 4}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*b**4 + 204*b**3 - 12*b**2 - 10*b - 98210879.\nAnswer: 84*b**3 + 612*b**2 - 24*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/19211052 and -23\/403432092?\nAnswer: 403432092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(228))\/sqrt(12) - ((sqrt(19) + sqrt(171))*5)**2.\nAnswer: -7600 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -698 divided by -14188\nAnswer: 349\/7094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 34317.17 rounded to the nearest 10?\nAnswer: 34320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 0.4, -45?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 1\/6 (b) -4\/7 (c) -0.5 (d) -0.4 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(500) + -1 + (sqrt(500) - (-1 + sqrt(500)*-2)))**2.\nAnswer: -240*sqrt(5) + 8009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 292 = -3*h, -1136 = -4*q - h + 84. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7895 - 3856. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 24\/9 - 8\/(-24). Suppose 0 = -4*p, h*p = -5*i + 4*i + 426. List the prime factors of i.\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*c + 91*c + 110. Let y(d) = 1 - d + d**2 + 3*d + 2*d. Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*r - 16*r + 16*r + (1 - 2 - 2)*(1 - 1 + r) - 4 - 2*r + 4.\nAnswer: -15*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 8. Let c be 2\/8 - a\/4. What is the third derivative of 0*l**3 - 2*l**4 + 0*l**3 - l**c wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74312226 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -5)\/(-5)*0. Suppose -111 = -5*g - v*g + 2*h, 4*h = g - 33. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001061127 to 4 decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2 - 12)*(85*m**2 - 85*m**2 - 39*m**4).\nAnswer: 195*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 25 = 4*c, -3*c - 272 = 4*p. Let a = p + 142. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 230 - 232.29. Let j = 2.4 + c. Let w = j + -0.21. What is the closest to w in -1\/3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxrrrxxx. Give prob of sequence xrxr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.47. Let j = l - -1. Sort j, -5, -2\/15 in increasing order.\nAnswer: -5, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d - 3. Let o be (9\/(-12))\/(3\/(-36)). Let y(s) = 5*s - 7. What is o*x(l) - 4*y(l)?\nAnswer: -2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*w + 12, -41*w + 46*w = -r - 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 1, 27, -3, 5 in descending order.\nAnswer: 27, 5, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of -b**5\/20 + b**3\/2 - 2*b**2 - 1. Let s(u) be the second derivative of m(u). Factor s(p).\nAnswer: -3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**4\/2 - 34*n**3\/3 + 42*n**2 + 91. Let q(z) = 0. Calculate z.\nAnswer: 0, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 353 + 175. Suppose 5*y - 53 = 3*v, y + 8*v = 3*v + l. Calculate the greatest common factor of 325 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0506*-14558\nAnswer: 736.6348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 11:41 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/28 - 88\/(-16) - 0.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -2*z**3\/9 - 61078*z**2\/9 - 2622476*z\/9 + 609920 = 0?\nAnswer: -30496, -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 26*r**2 + 131*r + 389. Give v(13).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 6386*w - 18 - 2*w**2 + 66 - 6384*w + 2*w**4 to d*w**3 + u*w**4 + l + j*w**2 + o*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.27 and -0.0808712.\nAnswer: 0.021835224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2278747.0081 - 0\nAnswer: -2278747.0081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 861 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 991 + 626. List the prime factors of i.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52683 by 29.\nAnswer: 52683\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0032124749 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22*9\/6 - -3. Let l = d - -150. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 4. Suppose -4*w = z*g + 2*g - 12, -1 = -w. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(-1\/5)*(s**0*s)\/(s*s\/(s\/s**0)))\/((s\/(s\/s**(2\/5)*s))\/s*s**(-1)*s**(-7)\/((s\/(s\/s**1))\/s)) assuming s is positive.\nAnswer: s**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-36)*h*h**38)**(-9\/2) assuming h is positive.\nAnswer: h**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 o, and 1 k when three letters picked without replacement from {e: 5, o: 5, t: 3, j: 5, k: 1}.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 130 + -128. Solve -o + 19 = c*o - 2*q, 0 = o + 4*q + 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 4 = 2. Does 12 divide (d + 5)\/4*88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 0*k**2 + 0 - 1\/4*k**3.\nAnswer: -k**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0, 0.24, 7 in descending order.\nAnswer: 7, 2\/5, 0.24, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-3 - 6\/(-3)). Suppose -w + 0*w + 8*w = m. Solve -p + 5*p - 8 = 4*v, -2*v - 2*p - 4 = w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*i = -3*j + 66*i - 9, 8*j - 7 = -3*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 3. Let q = 3 + d. Suppose -5*f + 23 = 3*g - q, -g + 13 = 4*f. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + (-37 - (-56 - 16))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 5*p**2 - 5*p + 137*p**3 - 136*p**3 + 4. Let m be 1\/((-2)\/4) + 7. Suppose 0 = -m*v + 4*t - 39, -v + 2*v - 2*t + 9 = 0. What is c(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d + 4*d - 2*o - 13 = 0, 0 = 2*d - 2*o + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c - 23. Calculate the smallest common multiple of j(-14) and (-1 - -2)\/((-2)\/(-6)).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 31 - (3 + -2). Let h be ((-414)\/f)\/(2\/(-3)). Calculate the highest common divisor of 207 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 4*b**2 + 2*b + 1. Let x be i(3). Let k be (-3)\/1*2\/x. What is the highest common factor of k and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 + 90. Suppose 7*a - 5*a - 4*p - 176 = 0, -3*p + 6 = c. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -182, -361, -540, -719?\n\"Answer: -179*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4682*b + 1714*b = 127624 for b.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**5*l**(-4\/7)\/l*(l*l*l*l**(-2\/7)*l)**(3\/14))**(-2\/11))**(-3\/5) assuming l is positive.\nAnswer: l**(1242\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -3966217?\nAnswer: 1983108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12766)\/(-6874) + (-16)\/(-14). Suppose 15 = -5*w + 5. Let g be ((-2)\/3)\/(w\/24). Solve v*c = -23 + g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2740 - -2752. Solve -u + 10 = r for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -180, -77, 84, 303?\n\"Answer: 29*u**2 + 16*u - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n**2. Let j(l) = 19*l**2 - 8. Let o(s) = -13*s**2 + 5. Let p(c) = 5*j(c) + 8*o(c). Determine p(q(w)).\nAnswer: -144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3\/12329 + 49331\/61645. Let y(q) be the first derivative of 0*q**3 - 14*q**2 + 0*q - 12 + v*q**5 + 0*q**4. Find the second derivative of y(l) wrt l.\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 744 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-12)*(-4 + 4). Round u to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 82153.24ml in litres?\nAnswer: 82.15324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of j**3\/2 + j**2\/2 - 21*j. Let h be a(9). Suppose -h = -4*n - 4. What is the least common multiple of n and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -14*z**2 - 2. Let m(x) be the third derivative of x**4\/24 - 377*x**2. What is k(m(a))?\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004227091 rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29.62579181 + 0.57060799. Let b = t - 29.3964. Let d = 0.8 - b. What is d rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 247, 1018, 2303, 4102, 6415, 9242?\nAnswer: 12583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 635451 - -4?\nAnswer: 635455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -4\/179, -4, 0.4, -2\/13, -42\/71, -0.5, 0.1?\nAnswer: -42\/71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1994 and 64806994?\nAnswer: 1994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + p - 2*p - 2*p - 50 + 50 + (-2*p + 6*p - 3*p)*(16 + 18 - 12) in the form f*p + x and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -87 + 86.8. What is the smallest value in b, 2, -0.049, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82*q**4 + 908 - 1816 + 922 with respect to q.\nAnswer: -328*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y**3 + 23*y**2 - 61*y + 2. Give d(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 103. Let b(c) = -2*c - 180. Let k(m) = 4*b(m) + 7*v(m). Let y(d) = -6*d + 6. Determine 3*k(j) - y(j).\nAnswer: 3*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*f + 23 + 49. Find the third derivative of 11*i**2 - f*i + 12*i - 4*i**6 - 7*i**2 + 15*i**4 wrt i.\nAnswer: -480*i**3 + 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19785 + -19781. Calculate the remainder when 170 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46 + 51)*(-174)\/30.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t. Let s(g) be the third derivative of -g**5\/60 - 4*g**2. Determine s(z(b)).\nAnswer: -16*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (13*9)\/3. Let f = g + -70. Let i = -17 - f. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**(5\/11))**(-38) assuming h is positive.\nAnswer: h**(38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -1\/8 (c) 13 (d) 0 (e) 1 (f) -1.2 (g) -81\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 631.7 and -0.1.\nAnswer: -63.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 w when three letters picked without replacement from aqwaaawnanwnmwvmaan.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 125*l**2 - 4*l. List the prime factors of j(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/112, 1\/7, 3\/2, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1852975?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -16874*m - 84803. Give v(-5).\nAnswer: -433","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12828 and 899029.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -16. Suppose -u - 2*w + w = -23, z*u = 5*w + 45. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466.7 times 5?\nAnswer: -2333.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -p**6\/12 + p**5\/10 + 5*p**4\/8 + p**3\/2 - 16. Solve s(y) = 0 for y.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 27*v = 4*o - 58272, v = o + 14566. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c - 147*c = -68*c + 40 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21480 divided by 24?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2198, 4358, 6248, 7742, 8714?\nAnswer: 9038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 452834658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2 - 7*v**2 - 2864*v + 6*v**2 - 512656 - 5*v**2.\nAnswer: -4*(v + 358)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*k + 3*g - 7, 4*g - 8 = 0. Let a(t) = 4*t**2. Let s be a(k). Suppose s*c - 7*c = -15. Solve c*f = 2*f - 3 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 3)\/(((-330)\/40)\/11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 + 105. What is the remainder when 162 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*4)\/(7 - 9). What is the remainder when 120 + 5 + f + -3 is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**3 - 17*v**2 - 15. Let t(j) = 6*j**3 - 16*j**2 - 14. Let i(q) = 5*c(q) - 6*t(q). What is the remainder when (-8)\/10*(-65)\/2 is divided by i(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227854.\nAnswer: 2, 11, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2901, -5439, -7271, -8043, -7401, -4991?\nAnswer: -459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381187621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 279 and -370715?\nAnswer: -103429485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -7*s**2 - 1\/3*s**3 + 1\/60*s**5 - 1\/24*s**4 + 0 + 0*s. Let d(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toxiixgoootxgioiooio. Give prob of sequence oiix.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 149, -1078, -3673, -7636, -12967?\n\"Answer: -684*l**2 + 825*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*w + 189*w = -2*n - 4270228, 2*w - n - 4270231 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 4*j - 2. Let z be s(-4). Let p = -102121\/4713 - -2\/1571. Calculate the common denominator of p and (-70)\/22 + (-1 - z).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.3025708 + -2.24956. Let z = x - 0.053. What is z rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2573, 2525, 2485, 2465, 2477, 2533, 2645?\n\"Answer: 2*t**3 - 8*t**2 - 38*t + 2617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -6*g**3 + 6*g**2 + 4. Let o be r(-4). Let t = 10851 + o. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/55)\/((-7)\/(175\/(-45)))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4*c**2 - 3*c - 8. Let q(l) = 3*l**2 + 4*l + 7. Let h(y) = 2*o(y) + 3*q(y). List the prime factors of h(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (13 - -79) + -1 + -3?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*j - 6*o - 467990, -2*j + 4*o + 467992 = 0. Round j to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -87*m**2 + 87*m**2 + m**5 + (3 + 3*m**3 - 3)*(4*m**2 + 3*m**2 - 4*m**2).\nAnswer: 10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463818 is divided by 40?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-z + z + z)*(0 - 2 + 1) + 2*z + 1 - 1)*((3777 - 2*z - 3777)*(3*z - z - z) + (-4*z + 4*z - z)*(-3*z + 6*z - 4*z))*(-2*z**2 + z**2 + 0*z**2).\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 + (-1)\/(-2) + (-3)\/6. Which is the closest to 0.1? (a) 1 (b) 6\/13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52013 and 450388569.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7017.506 years to months.\nAnswer: 84210.072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 10 = 2*t, 4*t + 34 = 5*y + 2*t. Let o = -5 + y. Let j be o\/(-4)*2*0. Solve j = -5*c - 13 - 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**5 - 97*g**4 + 118*g**3 + 14821*g + 14?\nAnswer: -40*g**3 - 1164*g**2 + 708*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -2*j**2 - 13*j - 2. Give b(-8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/1 - 1 - 56. Let i be o\/(-36) - 2\/(-6). Let x be -4 + 0 - (-13 + i). Solve 4*b = -3 + x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**6)\/x)\/x*x\/(x\/(x\/(x*x\/(x**6\/x))*x)))**(1\/34)\/(((x**(-1)*x)\/x*x)**(-12\/7)\/(x**(1\/2)\/(x\/((x*x**(-2\/5))\/x)))) assuming x is positive.\nAnswer: x**(-79\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/7 and (-5555)\/44*(-2)\/20?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*g - 14, 4*f + 5*g - 28 = -0*g. Suppose 6*l - f*l + 2 = 0. Let z = -0.9 + 3.9. What is the third biggest value in l, z, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 20 = -5*n. Let y = 10 - n. Solve 5*h + 0 + 5 = 5*j, -5 = y*j - 3*h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3710*f - 3712*f - 368 + 368.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2026)\/(-6) + (-6)\/9 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 16 - 0. Let r = -4 - f. Solve 2*y = 6*y + r for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37595 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 7 + -5 + 1 + -6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 309316307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -35.\nAnswer: -35, -29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28586638\/23 < 1242896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - 17*u**2 - 19*u - 46. Calculate p(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 7*g - 13*g + 90 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865552699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/6))**(-38))**(3\/11) assuming g is positive.\nAnswer: g**(19\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brzekrb. What is prob of sequence kz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x + 0*x - 2*x**3)*(-1 + 4 + 2)*(2 - 3 + 2).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11684 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 72252 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 6417305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/8 + -867 + 848?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -2. Let n(f) = 7063*f**2 - 3*f + 4. Let c be n(l). What is c rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*i - 2*i - 41*i - 69*i + 7*i.\nAnswer: -93*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.98 + -1. Let f = d - -0.42. Suppose -z - 7 + 3 = 0. What is the third smallest value in z, f, -3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4\/2 - 15*d**3 - 99*d**2\/2 - 66*d - 30 = 0. Calculate d.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -5. Let t = -1966 - -9832\/5. What is the third biggest value in -1\/4, w, t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*h - 2, -5*h = -2*t + 2 + 6. Let f = t - 10. Factor 0*z**2 + 0 - 1\/4*z**3 + 0*z - 1\/4*z**f.\nAnswer: -z**3*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5*i - 37, 45 = 3*i + 30. Which is the nearest to 2\/47? (a) 3 (b) -4 (c) -7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2100227 is divided by 4269?\nAnswer: 4148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*c - 21 = -110*c. Solve 0 = 2*b + c - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 0)\/((-440)\/445 + 1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -385, -657, -933, -1213?\n\"Answer: -2*w**2 - 266*w - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12041 is divided by 4005?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 28 = -2*n, 4*n + 4*w = 39 - 7. Calculate the greatest common factor of n and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 - 1d?\nAnswer: -d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*d + 10*d**2 + 38*d)*(4*d**2 - 6*d**2 + d**2) + 2 - 3*d**2 - 148*d - 18*d**4 + 148*d.\nAnswer: -28*d**4 - 3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 90?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -64050 (base 8) in base 15?\nAnswer: -7d79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -293 - -563. Calculate the greatest common factor of k and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.1424 - 0.1424. Is -6 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69554 and 498?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 1012, 2462, 4502, 7138, 10376, 14222, 18682?\nAnswer: 23762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 18 = -p, -4*t - 20 = -0*t. What is the remainder when p is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyiug. Give prob of picking 1 g and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 6) + (-29)\/(-7). Which is the nearest to -1\/3? (a) -0.1 (b) z (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 14*d**2 + 10*d + 28. Let g be s(13). Let a = -3 - g. Suppose 4*c - a*c + 1004 = 0. Is c a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -3, 50.88, 4\/3, -4, 0 in decreasing order.\nAnswer: 50.88, 4\/3, 2\/7, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-15)\/((-315)\/168)*1091?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*m + l - 25, 0 = 3*m - 3*l + 15. Let u = m - -5. Suppose u = q - 5*q + 36. Solve -2*x - 15 = 3*y, x + x = -y - q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3*v - 1. What is c(5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11168120561+-52\nAnswer: -11168120613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b - 205*b + 994 + 539 = 0. Let z be 2\/(-6) - 21\/(-9). Suppose 2 = 4*m - z. What is the least common multiple of m and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(91) + ((sqrt(91)*-3 - sqrt(91)) + sqrt(91) + sqrt(91))*2)\/(2*sqrt(63))*1.\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1693615239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1) + (2 - -4). Suppose 0*b - o*b + 108 = 0. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, a: 10, g: 3}. Give prob of sequence yag.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Let f(q) = -q + 0*q + l*q. Let y(h) = -8*h**2. What is f(y(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 11 + -5 - (5 - (-1 - (0 + -6)))\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9996.945 years in months?\nAnswer: 119963.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 33867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306*c - 285*c - 45024 = 0. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.024 + -1.024. What is the second biggest value in 5, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 + 270*s**2 + 1255*s + 1470.\nAnswer: 5*(s + 2)*(s + 3)*(s + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -690*c**4*x**2 + c**3*x**2 - 277*c**2*x**2 - 9*c**2 wrt c.\nAnswer: -16560*c*x**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 17a?\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94 - t**2 - 94 - 95*t - 24*t**6 - 5*t**6 - 7*t**6 + 5*t**4 wrt t?\nAnswer: -4320*t**3 + 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -300, -604, -922, -1260, -1624, -2020, -2454?\nAnswer: -2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 118 - (-54 + 38 - -72).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 2. Let y = -9 + 5. Let h be y\/14 - 18\/(-14). Is h at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 3, 0.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5122 (b) -3 (c) -0.1 (d) 18 (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 35 = 15. Let x = 216243 - 216249. What is the second biggest value in -1\/7, x, 0.2, o?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000904 to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -341547, -341523, -341481, -341421, -341343, -341247?\n\"Answer: 9*k**2 - 3*k - 341553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 16) to base 8\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -487*t**4 - 2*t**2 + 250.\nAnswer: -11688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**8\/84 - 5*o**4\/2 - 34*o**3\/3 - 55. Let a(f) be the third derivative of d(f). What is the derivative of a(g) wrt g?\nAnswer: 80*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-144)\/(-6) - -4 - (5 + 0). Suppose -23 = 11*s - f. Find x, given that 0 + 5*x**3 + 5\/2*x**4 + s*x - 15\/2*x**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 125*b + 833 = 48*b, 3*l - 52 = -5*b + 94 - 73 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4\/11 + -23\/33. Which is the biggest value? (a) y (b) -0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 3)\/(-2 - 1). Suppose -4*a + 0*h + h + 2675 = i, 2 = 2*h. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**2. Let c(f) be the third derivative of f**5\/12 + 36*f**2. Calculate l(c(r)).\nAnswer: 100*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*f = 159*f + 4. Suppose x + f*x - m - 1758 = 0, 2325 = 4*x + 5*m. Calculate the highest common factor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 2180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 12. Let h be u\/(-4) - (-475)\/(-580). Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/14, -5, -45, -5\/2 in descending order.\nAnswer: 3\/14, -5\/2, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of 6*o**5\/5 + o**4\/2 - 7*o**3\/6 + o**2\/2 + 2*o - 144. Let p(z) = -z**3 - z**2 + z. Give m(k) + 6*p(k).\nAnswer: 18*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5110936829 plus -2?\nAnswer: -5110936831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 3. Let n(l) be the second derivative of -l**3\/2 + 5*l**2 - 2127*l. What is 6*n(r) + 21*u(r)?\nAnswer: 3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2918849, 5837699, 8756549, 11675399?\nAnswer: 14594249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - 16. Let v = 65 + x. Let g = -36 + v. Solve -8*f + g*f + 8 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3920679.7579197 - -3920680. Let g = 0.1440874 - x. Let d = g + 0.098. What is d rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7577867 a multiple of 140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 28*i**2 - 3. Let q(h) = -29*h**2 + 4. Suppose -42*b - 128*b - 161*b - 993 = 0. Calculate b*q(r) - 4*p(r).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*d + 13*d**2 + 8*d**2 + 35*d to f*d + m + i*d**2 and give i.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 + 173*l - 28589. Calculate r(85).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 0)*(-5 + 2*z + 1 - 8).\nAnswer: -10*z + 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*u + 38 = 5*u, 8 = u. Let p(o) be the first derivative of 5\/4*o**4 + o**5 + 20 + 0*o**3 + 0*o**c + 0*o. Solve p(y) = 0 for y.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(5500) - sqrt(5500)*1 - sqrt(5500))*-5*6)\/((1*sqrt(50))\/sqrt(10) - sqrt(5) - sqrt(30)\/sqrt(6)*1).\nAnswer: -300*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 50 = -62*j + 67*j, 3*q + 183 = 14*j for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 32 + 40 = l, -l - 2*d = -78. Calculate the least common multiple of l and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/5 + (-2)\/(-1). Suppose -286 = g*s - 29*s. Calculate the remainder when 138 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -113725120?\nAnswer: 341175360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24 and -12?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -544*7\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 13\/2*((-20)\/5 + 6). Let f be 2\/(-6)*(u - 11). Sort 1\/6, -0.6, f, 0.\nAnswer: f, -0.6, 0, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2834 + 3948. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44312 + 5?\nAnswer: -44304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -1 + 9 + 0*t + 7 + t. Let r be z(-5). What is the greatest common divisor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + 2 + (-102)\/27. Let t = 0.03 - -6.97. Let o = 8 - t. Which is the smallest value? (a) -2\/7 (b) r (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -388.004203 to 1 dp.\nAnswer: -388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 42 + 18 - k + 2.\nAnswer: -k + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - 28*k**2 + 34*k + 79. Let n be u(27). Let m = n + -256. Solve -9*f = -6*f + m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 12*s + 22. What is the remainder when k(-11) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 606.8 in -7, 1, -1.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16\/9 in 0.0498, -0.291, -0.1?\nAnswer: 0.0498","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24017688 a multiple of 3012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 33189 by 59.\nAnswer: 33189\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16385 rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 500*f - 549 + 379 - 5360 = 105*f for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 508\/(-18) - 4\/(-18). Let g = 22 + a. Calculate the remainder when ((-57)\/38)\/(g\/320) is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 518*n - 179*n - 187*n = 172*n. What is the fourth smallest value in n, -0.5, -0.1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -456365 (base 8) to base 4.\nAnswer: -211303311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.262 - -0.738. What is the nearest to -1 in u, -2\/11, 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + o)*((-o + 3*o - o)*(o**3 - 2*o**3 + 0*o**3) + 3*o**4 + o**4 - 2*o**4 + (362 + 26*o - 362)*(-3*o**3 + 0*o**3 - o**3)).\nAnswer: -206*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 4 + 3)*(233*l**2 - 120*l**2 - 113*l**2 + 4192*l**3 + 1931*l**3) to r*l**2 + y*l + b*l**3 + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3590 = -2*w, 4*w - 5*m - 7196 = -7*m. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-20))\/(26*(-70)\/2275))\/(21\/(-4))?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 8:00 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3989*v + 3965*v = -1802448. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a + 3. Let h(f) be the first derivative of -f**4\/12 - 3*f + 73. Let q(m) be the first derivative of h(m). Determine u(q(t)).\nAnswer: -4*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - -8)\/(3\/(-2)). Let y = -0.4 - -0.36. Let m = y + 0.14. What is the nearest to m in 0, 2\/5, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 924618*q**2*r**3 - 4*q**2*r**2 - 2*q**2 - 8*q*r**3 + 2*r**3 - 5*r**2 + 6050199 wrt r.\nAnswer: 5547708*q**2 - 48*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 2, 1\/6, 1\/533?\nAnswer: 1\/533","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v - 7. Let n be z(9). Suppose 4*u + 0*u - n = 0. Put 4, u, 1, 3 in ascending order.\nAnswer: 1, 3, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.212717l in millilitres?\nAnswer: 7212.717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**2\/3 - 305*b\/3 = 0?\nAnswer: 0, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 + 7. Let u = -42.5 - -42.3. Which is the third smallest value? (a) r (b) 1 (c) 0.2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 4*c - 5*x + 45, -4*c - 3*x = -69. Solve n = 3*i + 4, -i + 3 = -3*n + c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 51*n + 12. Let y be d(5). Suppose 0 = -4*o + g + 520, -4*o + 2*g + y + 253 = 0. Calculate the greatest common factor of o and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(363) + 1 + 0 + ((1 + sqrt(75))**2 - (sqrt(3) + 0 + sqrt(3) + 5)).\nAnswer: 19*sqrt(3) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c = 8*c + 110 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2\/11, -19, -0.2.\nAnswer: -19, -4, -0.2, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1057 - -3057. Suppose -2*d + 5*g = -5*d + 2998, -2*g + x = 2*d. Suppose 10 = 2*s, -3*o + 5*s = -0*o - d. What is o rounded to the nearest 10?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-12))\/(154\/99 + -1)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 - 6*x**2 + 3 - 10*x**2 - 3*x. Let q(p) be the third derivative of 7*p**5\/60 + p**4\/24 - p**3\/6 - p**2. Determine 17*q(a) + 6*s(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -13463*w + 605898. What is t(45)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + -2 - 1) + (-2 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -2*m - 68 + 216, -25 = -3*m + 4*l - 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 16*n = -21*n + 40, -i + 3*n - 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v\/(v*v\/((v**(-2\/9)*v)\/v)))*v))\/v*v\/(v*v*(((v**(-3\/2)*v*v)\/v)\/v)\/v*v)*v\/v**(-4)*v\/v**(4\/7)*v assuming v is positive.\nAnswer: v**(467\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 5 = -5*o - 4*a, 2*a - 4 = -2*o. Let g be (12\/(-9))\/(2\/o). Solve g*z - 4*f = -22, -f = -2*z - 4*f + 13 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 18*v**3 + 3*v**2 - 2*v - 4. Let u be g(3). Suppose s - 4*c = 123, u + 79 = 4*s + 2*c. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 16 + -13 + 19.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1208 + 1235. Calculate the remainder when 198 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 11 + 9)*(-10 + 19 + 35)*(j + 2*j - j).\nAnswer: 880*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 280*q**3 + 4*q**2 - 3*q - 2. What is the remainder when i(1) is divided by 58?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 651 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j - 1500 = -16*j. Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + q**2 - q. Let j(n) = -n**3 - n**2 - n - 1. Let z = -80 - -85. Suppose z*b = -p - 8, -5*b - 13 = 4*p + 4. Determine b*c(s) + j(s).\nAnswer: s**3 - 2*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v - 5*v - 5*v**2 + 2*v**2 + 4*v**2 + 2. Suppose b - 3 = -0. Let h be b + ((-4)\/2)\/(-2). Calculate j(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 318, 317, 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4943164114.\nAnswer: 2, 7, 937, 376823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 76778?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a - 3. Give l(6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 91621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 5*z - 35 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 654 - 0.0371?\nAnswer: 653.9629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -152? (a) -3 (b) 1\/3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 945 = 5*i, 0 = z - 3*z - 4*i + 626. Solve z*h = 365*h - 320 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6248 * 0.308\nAnswer: 0.1924384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/4)*u*u*u\/((u\/(u*(u\/(u\/u**14*u))\/u*u))\/u) assuming u is positive.\nAnswer: u**(73\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + -1 + sqrt(363) + -5*2*sqrt(363))**2.\nAnswer: -396*sqrt(3) + 29407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-242 - (50 + -248)) + (-19 - 1)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1973275?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + q**2 - 4. Let a be h(0). Let t be a\/6*(-45)\/(-10). Let m(d) = -2*d**2. Determine m(t).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 254, 249, 240, 227, 210, 189, 164?\n\"Answer: -2*o**2 + o + 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5001833169 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - n + n**5 + n**5 + (2*n**2 + 4*n**2 + 3*n**2)*(-n + n + 2*n**3) + (2*n + 2*n - 5*n)*(n**4 + 2*n**2 - 2*n**2).\nAnswer: 19*n**5 + n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 77, 438, 1069, 2024?\nAnswer: 3357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -217.43545 rounded to the nearest integer?\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.8 - -38. Which is the nearest to f? (a) -3 (b) -5 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 776 is divided by 731?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/8*12\/3. Suppose 8997 = 3*h + w - p*w, 3*h - 3*w - 8997 = 0. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -41, -3\/5, -1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 = o + 2*o, -4*z + 2*o = -34. Solve -2 + 23 = -z*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: a9e (base 15) to base 3\nAnswer: 10021212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/5)\/(((-72)\/(-80))\/(-3)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2852946 is divided by 2852936.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 123\/5, 8, -0.1, -6, -4?\nAnswer: 123\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*d - 20*d + 19*d + 3*d + 0*d - d + 2*d - 1 + 1 + (d - 4 + 4)*(2 + 0 - 1).\nAnswer: -38*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 99 + 65 = -6*c - j, 6*c + 4*j + 32 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 4*j + v + 2009 = 2013, -2*v = 3*j + 22 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 33\/12 + 18\/(-24). Which is bigger: c or 13\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1998 - 1763. Calculate the greatest common divisor of q and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4820485\/178 or 27081?\nAnswer: 27081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/64 and -71\/12848?\nAnswer: 51392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + q - 60075 = 0, 4*l + 10*q - 2*q - 60068 = 0. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 5:57 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**3 - 50*d**2 + 48*d + 8. Determine w(24).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43091759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7455? (a) 3 (b) -3 (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 4*z**2 + 2*z - 3. Let s be b(-3). Let i be 10 - 1 - (-9)\/3. Suppose -3*t = -s*t - i. Solve -v + 2 = -2*h, 4*h - 2*v + t*v + 12 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*b + 8 = -17*b. Suppose -2*j + 2*o - 7*o + 198 = 0, b*j = o + 198. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Let p = 8 - s. Suppose -j + 0*x = 5*x - 12, 3*x - 48 = -p*j. Is 4 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*h**3 + 604*h**2 - 776*h + 156.\nAnswer: 4*(h - 1)*(h + 39)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -165 or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + s + 0*s + (-2 + 5 - 1)*(2*s + 0*s + 0*s) + 2*s - 6*s + 2*s - s - 5*s + 5*s + (-1 + 2 - 3)*(29*s - 44 - 11 - 27*s) as c + l*s and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746434 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = 7*c - 144. Solve 2*x + 2*w = 0, 3*w + 3 = 4*x + c*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from grytwuyt?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29532\/71 or -415?\nAnswer: -29532\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -420952 divided by 6\nAnswer: -210476\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(76) - (sqrt(76) - (2*sqrt(76) + sqrt(76))*3) - (-3*(-2*sqrt(76) - sqrt(76)) - sqrt(76))))\/(sqrt(576) - sqrt(144)*-6).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -60679.\nAnswer: -60684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9649532*a + 27387. Let n(f) = 11987*f + 34. Give 1611*n(u) - 2*w(u).\nAnswer: 11993*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t - 94. What is the lowest common multiple of w(12) and 132?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0795995um?\nAnswer: 0.0000000795995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 3773.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 1, 0, -13 in descending order.\nAnswer: 30, 1, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11605 is divided by 1933?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5333768 - -2\nAnswer: -5333766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -156 - 392*r + 69*r - 146*r - 226 wrt r?\nAnswer: -469","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2986.29s in minutes?\nAnswer: 49.7715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1667*s*w**4 + 15*s*w**3 - 272383*s - 2 wrt w?\nAnswer: -6668*s*w**3 + 45*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 <= 36.29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -17*t**4\/12 + 4*t**3\/3 - 9*t**2\/2 + 43*t + 5. Suppose 46 = 10*k - 44. Let r(l) = -4*l**2 + 2*l - 2. Give k*r(x) - 2*u(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3187 + -3186. Which is the third smallest value? (a) 11.8 (b) i (c) -3 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*n**2 - 49*n - 12 = 0 for n.\nAnswer: -1, -12\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.195472 rounded to 1 decimal place?\nAnswer: 86.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 3*i = 0. Let z(m) = i*m + 0*m + 2*m - 3*m. Let r(c) be the first derivative of -c**2\/2 - 1. Give z(r(h)).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = n + 1. Let a(b) = 3*b + 36 - 2*b - 33 + 3*b**2. Let q be a(n). Solve 4*m - 5*l = -q, 0 - 12 = m - 3*l for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 30*o**2 + o + 2. Let q be j(3). Suppose 5*i = -2*h - q, -3*h - 21 = i + 34. Let r be (-1)\/5 - (-7029)\/i. What is r rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34 and 4318?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -4*w - 6. Suppose w*s = 3*s - 2*b - 10, 5*s = -3*b + 24. Let x = s - 4. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.112 - -1.11671. Round f to 4 dps.\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -222\/17 less than 32.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 4*x**2 + 2*x)*(35 + 30*x - 155*x + 120*x) + (-1 - 2*x + 1)*(5*x**2 + 0*x**2 - 4*x**2).\nAnswer: 18*x**3 - 140*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/3, 6072, -2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 3*x - 25 = 0, 4*x - 888 = -162*i - 228 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*d + 13 = -3659. Let u be (9 - -1) + (-1440)\/d. Factor -u*i - 2\/17*i**2 + 12\/17.\nAnswer: -2*(i - 1)*(i + 6)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.08? (a) -0.2 (b) 0.4 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 1. Let r be t(7). Let i = 24 - r. Is 18 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = -2*m - 5*t, 0 = -3*t - 15. Suppose m = -5*d - 25, 2*o + 28 = -4*d + 12. Let g(i) = -i - o*i + i. Let s(w) = -2*w**2. Calculate s(g(q)).\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + i = 738. Let y be 2 + (5 - i) + 0. Let q = -121 + y. Calculate the highest common divisor of q and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 10*v - 8. Calculate the remainder when c(5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3140 - -4?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 2*w + 29, -29*w = -3*q - 33*w - 23 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2424829705 to the power of 1\/2, to the nearest integer?\nAnswer: 49243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4615.\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1664*y + 1664*y - 5*y**3.\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*q - n = 119*q + 10, 4 - 20 = n for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44 or 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -5*o**4 - 20*o**3 + 30*o**2 + 20*o - 25 = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6932?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -221 = 42*q - 179 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -142, -207, -274, -343, -414, -487?\n\"Answer: -l**2 - 62*l - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -409 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-49 - 29 - 180)*(-1 + 0 + 0)*(-5*o**2 + 2*o**2 + o**2 + (o + 0*o + o)*(-o - 3*o + 2*o) + 1 - 2*o**2 - 1) to the form t + c*o + j*o**2 and give j.\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*p + 26*p + 25058488*p**2 - 25058480*p**2.\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2399 * 5\nAnswer: 11995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -4.654, 0.16, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 + x + 3. Let l be y(-3). Suppose -13*u + 29 + 699 = l. Let m = -21 + 41. What is the remainder when u is divided by m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*y + 80 + 105 + 19. Let x(o) be the second derivative of -1\/4*o**4 + 5\/12*o**y + 0 + 1\/4*o**2 + 8*o. Factor x(n).\nAnswer: -(n - 1)*(6*n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1714 rounded to the nearest 100?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(2))**2*-1 - 2*6*-1*sqrt(2).\nAnswer: -2 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*(u*u\/(u*u*u\/u**(-1))*u*u)\/u)*u)**(-14))**(40\/3) assuming u is positive.\nAnswer: u**(-560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -39, 15, 123, 303, 573, 951?\nAnswer: 1455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**5\/30 + a**4\/24 - a**3\/6 + a**2. Let q be h(1). Is (-4)\/2*(-49)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -8587, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*2\/10 - 2. What is the smallest value in -1, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1034961 = z + 4*j, 8501972 = 8*z - 5*j + 222469. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r**2 - 149*r**2 + 72*r**2 + 2197*r.\nAnswer: -r**2 + 2197*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + 1\/3)\/((-120)\/712) and 23\/11?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 468, 464, 460?\n\"Answer: -4*y + 472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 5 + 10. Let d be 3 - -10*(-3)\/9. What is the nearest to d in 2, x, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.1411\nAnswer: -0.5644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {g: 5, q: 4, w: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 305693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1\/5 (c) 12 (d) -8\/3 (e) 9 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -23*p**2. Let m(n) be the second derivative of -1\/2*n**3 + 0 - n + 0*n**2. Give m(s(q)).\nAnswer: 69*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q + 862 = 119 + 65 - 962 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28290906.\nAnswer: 2, 3, 7, 113, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34856 is divided by 298.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - -14. Suppose 0 = -z + 3*j + n, 0 = -0*z + z - j - 27. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -1\/6, 347, 2, -6 in decreasing order.\nAnswer: 347, 2, -1\/6, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**2 - 113 + 4*j + 223 - 70 - 4*j + 140.\nAnswer: j**2 + 180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 1045 - 1085 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 + 4 - -1 - (-142)\/284*(-14 + 0)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45*c + 18*c - 13*c)*(c**3 + 0*c**2 + 0*c**2 + 2*c**4).\nAnswer: -80*c**5 - 40*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1735 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5475 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-192)\/6)\/(-4)*(-7)\/(-4)*1*-2.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31499, -64047, -96597, -129149, -161703, -194259?\n\"Answer: -n**2 - 32545*n + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4*m**3 - m**2 + 1. Let u be (-2)\/(-8) - (-26)\/(-8). Let q be (u\/2)\/((-3)\/2). Calculate d(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 44 in increasing order.\nAnswer: -5, -3, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -983123*j**3*u**3 - 173*j**3 - 460*j**2*u**2 wrt u.\nAnswer: -5898738*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.161 + -12883108.292.\nAnswer: -12883103.131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*m + 158*m - 28 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(-3)\/((-15)\/73). What is the units digit of (15 - 0)\/(d\/1971)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*f = 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15*(24472\/(-420))\/46\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 + -1. Let j be (-3)\/(-5)*(-2019)\/9. Let o = j + 135. Which is the third biggest value? (a) -0.2 (b) o (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, 2 in decreasing order.\nAnswer: 7, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3 (b) 4 (c) 2575\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 3*g**2 + g**2)*(-27 + 38 - 31) - 3*g**2 + 0*g**2 + 2*g**2 + (-2*g + 2*g - 2*g)*(4 - g - 4) + 4*g**2 + g**2 - 3*g**2 - 2*g**2 + 2*g**2 + g**2.\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -452\nAnswer: 5\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 + -72. Calculate the greatest common divisor of m and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/127, 67, -2?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.9 and -0.101923.\nAnswer: 1.798077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*i**5 - 7*i**4 - 50314*i**3 + 50314*i**3 + (3*i**4 + 5 - 5)*(i + 2 - 2*i - 4).\nAnswer: -49*i**5 - 13*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.672896 + 0.172896. Let p = 23 - 21.9. Put s, p, 0.1 in descending order.\nAnswer: p, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7540284 is divided by 1473.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(1\/5))\/(u\/(u\/u**(-1\/2))))**5 assuming u is positive.\nAnswer: u**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 28*u**2. Let m(o) = -4*o - 11. Let v(b) = -b - 3. Let s(h) = -6*m(h) + 22*v(h). Determine c(s(j)).\nAnswer: 112*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3124 and 4333076.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 81 + 85 = 0. Suppose -m + 0*n = 4*n - 97, b*m + 4*n - 206 = 0. Let c = -17 - -39. What is the remainder when m is divided by c?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -9. Calculate the highest common divisor of 20 and y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 3*g - 2*g + 3*g - 2*g + g + (-3 - 2 + 6)*(4*g - g - g))*(-2*g + g + 2*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = -2*v, -2*f = -3*v + 6 - 2. Let y(g) = -5*g**2. Let q be y(3). Let h be (-2)\/10 + (-24)\/q. Which is the smallest value? (a) h (b) v (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/8*(-2)\/7*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -842, -809, -754, -677, -578, -457?\n\"Answer: 11*x**2 - 853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4572)\/300)\/((-2)\/(-2)). Let v = 1769\/100 + b. Let w = v - 55\/4. What is the common denominator of w and 89\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 11:56 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 210 + 53*s + 202 - 412 to the form f + p*s and give p.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -25?\nAnswer: -157\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = 7*k - 2340. What is the greatest common divisor of k and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**4 + 24850*n**2 - 2657*n - 2 wrt n?\nAnswer: 24*n**2 + 49700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -50 - -77. Let b = -17 + d. What is the remainder when 47 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 973*v**2 + 4*v - 112. Is s(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 1\/3 (b) -37 (c) 77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -2 - -2)*1. Let h be q*((-159)\/(-3) - -2). Let l = h - 23. Does 11 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*c + 2*o + 8, 5*c - 2*o = -235 + 216 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6975 or -5571\/2?\nAnswer: -5571\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -1694*n + 369. Let p(k) = -845*k + 186. Let m(r) = 3*h(r) - 7*p(r). What is the first derivative of m(y) wrt y?\nAnswer: 833","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1540924779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -26, -58, -112, -194, -310, -466?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 0*u - 4 + 0*u - 3 to y*u + l and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2)*5 - (sqrt(28)\/sqrt(2))\/sqrt(7)) + 1)**2.\nAnswer: 8*sqrt(2) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**8\/6720 + d**7\/1680 + d**6\/1440 - d**3\/3 - 3*d**2. Let b(j) be the first derivative of w(j). Factor b(v).\nAnswer: v**2*(v + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 16) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 287\/410*1\/(-7).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 31*g - 34*g. Suppose 2*n + 19 = 3*y, -g*n - 2*n = 8. Suppose -y*k + 69 = 14. What is the remainder when 40 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.018 + 0.018. Let s be (8\/(-12))\/((-5)\/3). Suppose z - 18 = 5*n, 5*n = -0*n - z - 22. Which is the nearest to 0.2? (a) n (b) s (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*o = 40, 2*i - 4*o + 50 = -i. Let t(u) = u**2 + 14*u - 64. Let m be t(i). Solve -4 = 2*n - 7*n + j, -4*n + m = -2*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3\/5 (b) 0.105 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4516)\/(-54)*9\/6. Let v = z - 125. Let u = 204 + -204.2. Which is the second biggest value? (a) v (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + -2)*(-1 + -292) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 + 0 = -5*b. Let y = -48 + b. Suppose w - u - 134 = 0, w - u = y*w - 271. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m - 17. Let i be c(6). What are the prime factors of 38\/((-4)\/30*i)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -7*n + r + 2195, -5*n + 2748 = 3*r. Let c = -394 + 1008. Let s = c + n. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414 = -5*f - p + 346, -3*p - 36 = 3*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.3 and 0.0499?\nAnswer: -0.06487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -5\/126*v**7 + 22*v - 7\/90*v**6 + 0 + 0*v**2 - 5\/36*v**4 - 1\/3*v**3 + 23\/60*v**5. Suppose t(q) = 0. What is q?\nAnswer: -3, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 8*u**2 + 5*u + 52. Determine d(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 42132, 88003, 137614, 190965, 248056?\n\"Answer: 1870*p**2 + 40261*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f - 11*f - 12*f - 4*f to g + y*f and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, v: 1, i: 1, d: 4, f: 4, n: 3}. Give prob of sequence ine.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**3 - 8616*a**2 + 4631088*a + 9296672 = 0 for a.\nAnswer: -2, 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 44641804633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z**4\/3 + 2330*z**3\/3 - 1408*z**2 + 2206*z\/3 - 340\/3 = 0.\nAnswer: -85, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 + 0.87. Let m = p + -19.7. Let j = m - -19.00038. What is j rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 62, 66, 72, 80, 90?\n\"Answer: b**2 + b + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 6*m**2 + 2*m - 4. Calculate the smallest common multiple of 2 and p(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l + 59. Let m be c(-10). Find the common denominator of -3 - -4 - (-15)\/m and -71\/9.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 657386281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -5*k + 215. Let q = k + -9. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/5810336 and 13\/56?\nAnswer: 5810336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 10. Suppose 5*d = -q*d + 217. What is the second derivative of 27*s**4 + d*s + s - s - 2*s**4 wrt s?\nAnswer: 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 49 + 11 = -21. Solve -l*d + 15 = 4*y - 24*d, y = -d + 5 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -28, -54, -80, -106?\n\"Answer: -26*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 9867*a + 47*a**2 - 4*a**2 - 9843*a + 0 to the form m*a**2 + t*a + x and give t.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**3 - 13*t**2 - 9*t. Let k(n) = n**3 - 4*n**2 + 2. Let q be k(6). Let f(h) = -h**3 + 4*h - q*h**2 + 0*h**3 + 80*h**2. Determine 9*f(s) + 4*x(s).\nAnswer: -s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of -2*s**5\/15 - s**4 + 32*s**3\/9 + 1605. Factor c(u).\nAnswer: -2*u**2*(u - 2)*(u + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(3) - ((1 + sqrt(12))**2 - sqrt(3))) + sqrt(108)*1 - (1 + (5 + (sqrt(432) - -2*sqrt(432)))**2))*-2.\nAnswer: 712*sqrt(3) + 7854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbbjbbb. What is prob of picking 2 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -34. Suppose 0 = -a*i - 0*i + 280. Calculate the remainder when i is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20342355 divided by 4068471\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -10*y - 10. Let k be l(11). Calculate the common denominator of ((-2)\/(-3))\/(k\/1044) and (-6)\/(-20)*(-34 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.012298 to 4 decimal places.\nAnswer: -0.0123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76654889?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3488 and 103\/27468?\nAnswer: 219744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 17.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2950221 (base 11) to base 14\nAnswer: -95c32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45.7 - -46.1. Sort g, -5, 2\/7.\nAnswer: -5, 2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/96593 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85)*-4 + sqrt(85) - sqrt(85))*-3 + sqrt(85))\/(sqrt(125)*-3).\nAnswer: -13*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujubujjuuqbuuuuujbj. Give prob of picking 3 b and 1 u.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/3 (b) -4\/5 (c) 0.036 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 106*v**4 + 604*v**2 + 444*v**3 - 130*v**4 + 126*v**5 - 186*v**5 - 96*v = 0. Calculate v.\nAnswer: -5, -1, -1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -7*l - 141. Let c = l + 21. Let z(n) = -n - 7. Let s be z(-5). Does s = c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -60*f**3 - 5614. Let l(r) = 31*r**3 + 2808. Let p(u) = -5*l(u) - 2*q(u). What is the derivative of p(m) wrt m?\nAnswer: -105*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2233 = -5*f, 4*f - 35 = -15. List the prime factors of m.\nAnswer: 2, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 6*w**3 - w**3 - w**3 - 10*w - 2 - 3*w**3. Let m be z(4). Suppose -8*y = -m*y - 186. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167831473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1208 + -1187 - (1 + -18)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 334 * -31.703.\nAnswer: -10588.802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56 + 50)*-2*(-1)\/(-9).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + -3 + sqrt(1900) + 1*sqrt(1900) + 3 + (sqrt(152)*1 - sqrt(152))\/sqrt(8) + 4.\nAnswer: 10 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**4\/12 + n**3\/2 + 2*n. Let h be c(2). Suppose -3*u + 15 = -h*u. Is 15 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -212, -742, -1272, -1802?\n\"Answer: -530*p + 318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 + -39 + 44 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36.8 + 37. Let m = 1.82 + 0.38. Let l = m + -1.9. Which is the closest to 0.1? (a) z (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o + 26355 = 17049 - 54074. Calculate the remainder when o is divided by 633.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 7 = p. Suppose 0 = -p*m + 8*m - 150. Suppose 5*k - m = 315. What are the prime factors of k?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-288)*-15 + (-2)\/6?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11\/5)\/h**(-18))\/(h**(-16\/5)*h*h\/h**(-16)))**(-32) assuming h is positive.\nAnswer: h**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -30 - 2\/13*c - 2\/13*c**3 + 3\/13*c**2 + 1\/26*c**4. Factor s(g).\nAnswer: 2*(g - 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from {n: 1, x: 2, y: 2, q: 1, d: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, f: 3, h: 10, o: 1, w: 3}. What is prob of sequence fhf?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: c (base 15) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*r + 0*r**2 - 3*r**2 + 35*r as q*r**2 + g*r + v and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 3*m**2 + 6*m + 3. Let v(n) = -2 + n**2 + n - 2 + 5. Let b(u) = 6*v(u) - w(u). What is the derivative of b(l) wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 t when two letters picked without replacement from ttrrttt.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 118155 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -2276 (c) -4 (d) -2 (e) 6 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 225259 divided by 50.\nAnswer: 225259\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/5*6\/7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 61117735?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -150 + 80. Let w = 69.1524 - 139.1573. Let y = f - w. What is y rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + g + 2. Let j be o(0). Suppose 7 = j*d + 9. Let p(k) = -k**3 + k**2 - k + 1. Let f(s) = -2*s**3 + 3*s**2 - s + 2. Give d*f(t) + 3*p(t).\nAnswer: -t**3 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5 + ((sqrt(567)\/sqrt(900))\/(sqrt(1089)*-3))**2 + 1.\nAnswer: -217793\/108900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21906 and 539131?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -17708 + 17721 - 5750\/442?\nAnswer: -2\/221","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39271 is divided by 2945?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 6, -35, -130, -297?\n\"Answer: -3*c**3 + 16*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4*z + 20. Let d be q(-8). Let c be (-1300)\/195*d\/5. Solve -5*r + 5*h = -3*r + c, -2*h = 4*r + 8 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/4 of a week?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**3 + 2*b**2 + 3. Let r be d(-2). Sort r, 3, -4.\nAnswer: r, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3006144*a**3 - 1047799*a + 1?\nAnswer: 18036864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-9 - -25 - (-6 - (51 - 0)))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3))**(-11\/7) assuming m is positive.\nAnswer: m**(-11\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8139413 to the nearest integer?\nAnswer: 2853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/12)\/y**3*y\/y**8*y**(-7) assuming y is positive.\nAnswer: y**(-205\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/2)*d*d)\/d)**(3\/50)*(d\/(d*d\/(d*d\/(d*d**(2\/19)))))\/(d*d*d**(-7)*d*d) assuming d is positive.\nAnswer: d**(1157\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (22 - (-405)\/(-120))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -86*k*t**6 - 315*k*t**5 + 87*k*t**2 + 110*t**2 wrt t?\nAnswer: -10320*k*t**3 - 18900*k*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1092 - -49d?\nAnswer: -9d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -543301.7 to the nearest one hundred.\nAnswer: -543300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h\/h**7*h)\/h*h**(1\/5))**(-1\/14))**3 assuming h is positive.\nAnswer: h**(36\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let u be i(0). Let k be (-68)\/(-18) + (-2)\/(-9). Which is the nearest to u? (a) k (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 93 + -95. What is the nearest to 0 in 6, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26535*-3\nAnswer: -79605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 798*k**5 + 3*k**4 - 740*k**3 - 3214*k**2 - 2*k + 37 wrt k.\nAnswer: 47880*k**2 + 72*k - 4440","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2301 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ewwtxmwmcctt. What is prob of picking 1 w and 1 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/14214 and 31\/150483.\nAnswer: 6922218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 5*w = -18. Let n(o) = -2*o + 9. List the prime factors of n(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 p when two letters picked without replacement from {r: 4, p: 3, v: 13}?\nAnswer: 39\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*o - 14, 6*i + 2*i + 43291*o = 3*i + 43293*o + 46 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -21. Let c(w) be the third derivative of w**4\/24 - 3*w**3\/2 + 191*w**2 + 1. What is c(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - -4c42?\nAnswer: 4c4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 907 divide 328153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 9 + -11 + -3 + -6 + -13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/2 + 7*c**3\/2 - 111*c**2 - 470*c - 476 = 0. What is c?\nAnswer: -17, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j. Let p(l) = -l - 2. Let y be p(-4). Let h be 27\/6 + (-1)\/y. What are the prime factors of b(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 0 + -1 + 23 + -22.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d - 4*d - d)*(-1 + 1 + 2*d)*(22*d - 23*d + 18*d) as n*d**3 + r + v*d**2 + b*d and give n.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 1)*((y**3 + y**3 + 2 + 0)*(-1 + 1 + 2*y**2) + 5*y**5 - 34*y + 34*y).\nAnswer: -36*y**5 - 16*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, -5, 29, -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 71 + x**3 - 46 + 209 - 43.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(16)\/sqrt(8) + 3 + sqrt(128) - (-3*(-1 + sqrt(2))*-1 + -5))*3)**2.\nAnswer: 864*sqrt(2) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 296292167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-6)*(57 + -69).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**5\/20 - 7*f**4\/24 - 2*f**3 + 2*f**2 + 20. What is the smallest common multiple of k(-4) and 14?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 32*m**2 + 253*m + 32. Let p be t(-18). Solve -n + p = 2*c + c, -3*n + c = -2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 25*p**2 + 37*p - 30. List the prime factors of u(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 23814.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -444 - 2?\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idj when three letters picked without replacement from juxijdqjd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 21300701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-765.032.\nAnswer: 2295.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 337365630 by -25830.\nAnswer: -13061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/sqrt(7) + -5 - (sqrt(275) - sqrt(275)*-2) - (2 + sqrt(11) + -1*sqrt(176) + (sqrt(1100) + -1 + sqrt(1100))**2).\nAnswer: -4408 + 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2728\/(-110) + 32)*(-9)\/(126\/280)?\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -756 - 41*s**2 + 756 + (0*s - 1 + 2*s + s)*(s + 3*s - 12*s) to d*s + y*s**2 + m and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5\/4, -4, -1\/4, 3\/16, -0.01, 5\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 51 and 226?\nAnswer: 11526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 11*m**2 - 11*m - 11. Let y be p(-1). Suppose 2*g + 6*l - y*l = 38, -57 = -5*g + 3*l. Solve 3 = 4*q - g for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -51084, -51081, -51078, -51075?\n\"Answer: 3*g - 51087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 - i**2 - 2*i - 1. Let l be b(-1). Let y be ((-30)\/20)\/(l\/(-120)*2). Is (1\/(-5) + (-846)\/y)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-42))\/(1\/(14\/18))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**3 + 32*w**2 - 44*w - 36. What is d(8)?\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/3)\/(-1 - -2). Suppose -14 = 5*h - 3*s, -s + k*s - 2 = 0. Let d be (h - (-8)\/4)*(-3)\/36. Put -2\/15, d, 4 in descending order.\nAnswer: 4, d, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-56)\/3)\/(-2))\/(4\/6). Suppose -2*q + 7*q = -70. Let u = b + q. Solve u*y - 1 = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59 - -241\/4. Suppose 116 = -3*o - 2*h, -4*o + h = -h + 136. Let i be (-14)\/91 - o\/65. Which is the closest to 0.1? (a) -0.5 (b) p (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -52453?\nAnswer: 52460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 609498496 to the power of 1\/2, to the nearest integer?\nAnswer: 24688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/(-13))\/((-3)\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2603809 is divided by 78903.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17393269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2897 + 2927. Which is the third biggest value? (a) -1\/4 (b) l (c) -0.2 (d) -0.3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -809497.\nAnswer: 4\/809497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16959 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 5*k - 20. Let u be r(5). Suppose 0*q + 30 = -q. Let o = u + q. Solve 2*l = 4*j, j - 2*j + 3*l - 10 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -135959 <= -135960?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 820c (base 14) to base 10.\nAnswer: 22356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/11 + 116*u\/11 - 1682\/11.\nAnswer: -2*(u - 29)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7136*h*o**3 - h*o + 4*o**3 - 2*o**2 - 17778*o - 2 wrt o?\nAnswer: -42816*h + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 5*d + 1. Let w be q(-4). Let c be 11*3\/1 - -2. Suppose -4*r + 9*z - 4*z = -c, -37 = -w*r + 4*z. Solve r*y = y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90181.\nAnswer: 7, 13, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 38147162?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 2*s - 5*t = -12, 0 = 3*t - 12. Suppose -s*a = 3*a. Suppose -2*b + 102 - 36 = a. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooa when three letters picked without replacement from {t: 1, a: 2, o: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**4\/12 - 148*c. Let f(d) = -d + 47. Determine b(f(y)).\nAnswer: -y**2 + 94*y - 2209","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 84063, 84064, 84065, 84066, 84067?\n\"Answer: f + 84062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -875\/86732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-190) + 103\/30. Sort 1, 0, 4, p in ascending order.\nAnswer: 0, 1, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20016057*i - 4 - 20016035*i + 4.\nAnswer: 22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, k: 2, p: 3}. What is prob of sequence pkp?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111942251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.4698 - 0.0302. Let k be 6\/14 + (-76)\/14. Which is the closest to 2? (a) h (b) k (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 22045172?\nAnswer: -22045169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27855839 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.87 - -0.27. Let y = r - -4. Let h be (-5 + 44\/9)*(-1 - 1). Sort y, 5, h in descending order.\nAnswer: 5, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10218 * 32.709\nAnswer: -334220.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 89974.63 nanometers in millimeters?\nAnswer: 0.08997463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -8. Let d = 55662 + -55641. Solve -g - d = -5*o, -g - g + 6 = a*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 119\/6 - (55\/30 + -2). Calculate the highest common factor of 90 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 2*j. Let l be 0\/((-1 - 0)*2). Suppose l*b = -b + 10. Suppose 12*v - b = 17*v. Calculate t(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 1479*b**3 - 1476*b**3.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/c**(2\/5))\/c*c))**(15\/7)\/((c*c\/(c**1*c))\/c)**(32\/7))\/(c**7\/(c\/(c**(-2)\/c)))**(2\/71) assuming c is positive.\nAnswer: c**(2656\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/3)\/i**(-7\/2))**(-35)\/((i\/((i*(i\/(i**0*i))\/i)\/i))**(3\/17)\/(i**1)**(-1\/4)) assuming i is positive.\nAnswer: i**(-22733\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and 2.91.\nAnswer: 2.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5)\/(20\/12) - (-2 - 51)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85, -80, -75, -70, -65?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {r: 3, k: 1, g: 4, u: 2, x: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 30, -70 + 6 = -3*l - 31*l - 3*c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -y - 14, -2*z + 20 = -7*z + 5*y. Let g be 19*(1\/z)\/((-1)\/3). What is the second derivative of -g*t**5 - 14*t**5 + 9*t**5 - 14*t - 7*t wrt t?\nAnswer: -480*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287106 divided by -2.\nAnswer: -143553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3611 + 3646 = -7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*p**2 + 54*p**2 + 105*p - 105*p.\nAnswer: 120*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-70)\/28*(-2)\/(100\/35).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01 take away -0.54668?\nAnswer: 0.53668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - d - 4*d - 1495 = 0, 5*w - 1501 = -d. Suppose a = -4*a + w. Calculate the highest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304017 is divided by 153.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 16 - 20. Suppose -7*l**3 - 2 + 5*l + t*l**2 + l + 9*l**3 - 8*l**2 = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 11:57 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 - 18*x - 80. Let p be q(-8). Let z(o) be the second derivative of 7*o**3\/6 + 36*o**2 + o. What is the units digit of z(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**5)\/(z\/(z*z**(-6)*z)))\/(z\/(z\/(z**(1\/3)\/z)*z))**(-3\/16) assuming z is positive.\nAnswer: z**(11\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.41 + 1.52. Let i = l + 1.07. Suppose -5*s = p - 3, 0 = -0*s + 5*s - 2*p - 9. Which is the nearest to 2\/5? (a) i (b) 0.1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566125 a multiple of 454?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/((-72)\/9))\/(3\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -11*b - 7. Let h(o) = -o - 1. Let n(m) = 28*h(m) - 4*l(m). Let k(i) = 4*i + 0*i - 2*i. Determine n(k(u)).\nAnswer: 32*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3802 - -0.0198. What is the biggest value in 0.3, 1\/7, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*s - 82*s - 3672 = 3753 for s.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 1482 + -828. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2333709 hours to nanoseconds.\nAnswer: 840135240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 110 + 3?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(48)\/sqrt(4)) - 2*(sqrt(6)\/sqrt(3))**2)*-5.\nAnswer: -5*sqrt(2) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -777867 divided by -3?\nAnswer: 259289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 4*r**2 - 4*r + 2. Determine m(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 11:13 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:27 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + -49. Let z = w + 109. Suppose -44*c + 46*c = 26. Calculate the remainder when z is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5052104821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1825 - 1796. Put 2, -0.4, b, 2\/7 in descending order.\nAnswer: b, 2, 2\/7, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b + 3*b - 7*b + (-1 + 11 - 3)*(-21 + 21 + 51*b) - 7*b + 4*b + 2*b.\nAnswer: 353*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -200*j. Let i(t) = -20*t - 12. Let r(x) = -3*x - 2. Let b(p) = -i(p) + 6*r(p). Give b(a(n)).\nAnswer: -400*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 4) to base 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*d + 17*d - 9 = 0. Let c(i) = 12*i + 0 - i**d - 14 + 9*i**2 + 0. Let x be c(10). Let m(y) = y**2 - 7*y + 7. Give m(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 2*s**2 - 50*s + 40. Let q be z(8). What is the greatest common factor of 1180 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*v - 205 - 18 = 0, -12 = 3*v. What is the second derivative of -b*a**2 - 3 - 2 + a - 3 - 1 wrt a?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*a**4 + 0*a**2 + 10 + 2*a**2 - 47*a**3 - 2*a**4 - 3*a**2 + 45*a**3 to the form i + g*a**3 + h*a**4 + z*a + m*a**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, x: 1, j: 2, d: 2}. What is prob of sequence jdx?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-54)\/(-15))\/((-8)\/40). Put -3, 3, h, -4 in descending order.\nAnswer: 3, -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * 23716.\nAnswer: -308308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l**2 - 67 - 3*l + l**4 + 152 - 58 - 66 in the form v*l**2 + u*l + i*l**3 + h + t*l**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4706 - 9415\/2. What is the smallest value in -4, d, 7, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-1))*i*i\/(i*i\/(i*i**(-2\/43)*i*i))*(i\/(i*i*i**(-1\/9)))\/i*i**(-9\/10) assuming i is positive.\nAnswer: i**(4507\/3870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6887.276t in milligrams?\nAnswer: 6887276000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -323 and 231.\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13182 + 26305. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4712961 and 13299.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 4. Let v(a) = -a**2 - 2 - m*a - 3*a - 3. Let l be v(-4). Which is greater: -3\/7 or l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48205 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u - 4*u + 5*u + (-6*u + 4*u + 4*u)*(2 - 3 - 1) - 2*u + 2*u - 4 + 2*u.\nAnswer: -u - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 + n**3 - n**3 + 10*n**3 + 0*n**3.\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 74479963 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 1, -5\/2, 4\/7, 2\/67?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 11346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*d + 9 = 0, 3*d = 4*j - 9*j + 6. Let u be -3 + -2*(j + -20). Is (6 + -4)\/(2\/u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -5. Calculate the smallest common multiple of 21 - (0 + t\/2) and (-3)\/(-6) - (-86)\/4.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -24*j - 4. Suppose 19*i - 232 - 3910 = 0. Calculate the remainder when i is divided by z(-2).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 336695370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -49928*f**2. Let q(h) = -2625*h. Determine q(p(k)).\nAnswer: 131061000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1481, -1659, -1069, 295, 2439, 5369, 9091, 13611?\nAnswer: 18935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4 = -x - 15, 5*x + 3*f + 3 = 0. Put 0, 3, x, -2 in ascending order.\nAnswer: x, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-6 + 3 - -5) + 294 + -118 + -164?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 81, 82, 69, 36, -23, -114, -243, -416?\n\"Answer: -i**3 - i**2 + 11*i + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67006*r**3 + r**2 - 371880 wrt r?\nAnswer: 201018*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12 + (-11 - (0 - (-15 + 14)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4 + 2*v**4 - 3*v**4 - 6*v**2 + 3*v**3 + 0*v**4.\nAnswer: 3*v**2*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 30680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/17 - 22*k**2\/17 - 20*k\/17.\nAnswer: -2*k*(k + 1)*(k + 10)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 AM and 4:30 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (32\/4*2\/20)\/(472\/20060). Solve y = 2*d - 1, -c*d - 4*y + 8 = -30*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13 (b) 78 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18846 and 189?\nAnswer: 131922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2377?\nAnswer: 2377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, l: 15}. Give prob of sequence llm.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-1)*(-11)\/(-11) + 31. Solve r + 18 = -27*l + f*l, -r = -5*l + 28 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -5*j + 51. Solve -2*w + j = m, -3*m = 5*w + m - 13 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23971 is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -8*q**2 + 383*q + 48. Let o be u(48). What is the nearest to -77\/3 in 2, -1\/7, o, 1\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7724, -15456, -23198, -30950?\n\"Answer: -5*h**2 - 7717*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 520, 1012, 1504, 1996, 2488?\nAnswer: 2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 4*c. What is the third smallest value in c, 2\/3, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1138.\nAnswer: -1\/569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1113089\/54 - 20615. Let c = -101537\/18 + 5637. Calculate the common denominator of q and c.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 6*r - 6. Let q be x(-4). Let j be (-6 + 0)\/(0 - q). Suppose -2*y = w + 4*w + 731, -j*y + 2*w = 1087. Round y to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (66\/(-77))\/(3*-2).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 11*w**3 + 36*w**2 + 31*w + 6 = 0.\nAnswer: -2, -1, -3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:59 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**2 + 1777110*g - 51540395.\nAnswer: 5*(g - 29)*(g + 355451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of b**5\/20 - 5*b**4\/12 + b**3\/2 + 2*b**2 + 2*b. Let m be t(4). Suppose 0 = 5*u - m*u - 100. Is 20 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26\/273 - (-500)\/42. Which is the closest to 7? (a) -13 (b) r (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/35 + 9\/21. Sort i, -1, -4 in increasing order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from {f: 2, c: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -3\/4, 313, 3, -19, -0.08, -12?\nAnswer: 313","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1748, -6986, -15714, -27932?\nAnswer: -43640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddgfdqdenffn. What is prob of picking 1 q, 1 n, 1 e, and 1 d?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557608.093 rounded to the nearest one thousand?\nAnswer: 558000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**2 - 6*o - 6. Let m(k) = 1. Let h(j) = 6*m(j) + y(j). Factor h(w).\nAnswer: -2*w*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0, -4 in decreasing order.\nAnswer: 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i - 4*i - 2*i**4 + (-4 - 2*i**2 + 4)*(-2*i**2 + 4*i**2 - i**2) + 1 - 2*i**4 - 1 + (2*i**2 - 2*i**2 - i**2)*(0*i**2 + 2*i**2 - i**2).\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-2)\/(16\/(-6))). Let g be c\/2 - (9 - 11). Suppose -g*k - 35 = k. Is k != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -348863, -348906, -349045, -349328, -349803, -350518?\nAnswer: -351521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -130, 254?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2219681608 a multiple of 184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.77 rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + m. Let p(x) = 2*x**3 + 9*x. Let b(o) = 5*g(o) - p(o). What is the second derivative of b(l) wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 644735?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14849, -59338, -133479, -237266, -370693, -533754?\nAnswer: -726443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3.371*-98\nAnswer: -330.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**5\/11 - 14170*z**4\/11 + 25785126*z**3\/11 - 2414410502*z**2\/11 - 2440209800*z\/11 = 0?\nAnswer: -1, 0, 100, 3493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 252 - 275.4. Let t = s - -23.399999588. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*u - 213*u + 4724 + 1633 = -3579 for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 167 - -3?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.4, -2, -3\/7, -1\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256 = -66*d + 128 + 210. Let f be (-2)\/(-1) + 2 + -3. Let c(q) = -q**2 + 2 + f - 5*q - 8 + d. Calculate c(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 977 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*y**4 - 155*y**3 + 861*y - 890367?\nAnswer: -20*y**3 - 465*y**2 + 861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04083 - 0.040855452. Round j to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-32)\/6*27\/12. Let w(p) = -p**3 - 12*p**2 - 9. Give w(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 61 = 16. Put -4, t, -1 in ascending order.\nAnswer: -4, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (-22 - (-21 - -10) - -11 - (0 + 9))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/48 + 466\/8 is divided by 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 466514 is divided by 233245?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**6\/60 + i**5\/12 + i**4\/6 - i**3\/3 - 5*i**2 - 9*i. Calculate j(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 1053360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + (-3)\/((-8)\/((-128)\/12)). Let l(v) be the first derivative of -6*v**2 + r*v + 9 - 2\/3*v**3 + 7\/4*v**4 - 1\/6*v**6 + 0*v**5. Factor l(t).\nAnswer: -(t - 2)*(t - 1)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 61148?\nAnswer: 428036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 3*n**2 - 2*n**2)*((4 + 2 - 5)*(2 - 1 + 2) + 2 + 0 - 3).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1106 and -0.013487.\nAnswer: 14.916622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/12 - b**3\/6 + b**2 - 2*b. Let s be i(2). Suppose s*j + 2*g + 3*g = 10, 4*j - g - 22 = 0. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -1600420516?\nAnswer: 1600420521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*l = 4*h - 7*l - 77919, 97334 = 5*h - 3*l. List the prime factors of h.\nAnswer: 19471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*h - 2*h + 2*h)*(5*h - 5*h - 4*h) - 2*h**2 - 3*h**2 + 3*h**2)*(-2*h**2 + h**2 - h**2) as x*h + v*h**3 + p*h**2 + m*h**4 + j and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 74165598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:33 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100231423 (base 5) to base 4.\nAnswer: -1201122030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1068*k - 888*k - 5220 = 0 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bobhm. What is prob of sequence mho?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -318, 1, -1?\nAnswer: -318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -52*z. Let j(l) = 146*l. Let y(c) = 11*i(c) + 4*j(c). Let p(a) = 4*a. Calculate y(p(r)).\nAnswer: 48*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 54*p**2 + 116*p - 102. Give t(-52).\nAnswer: -726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 224730 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 - 6)*3\/(-21). Let m = -555 - -557. Is f at least m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 14*f**3 - 2*f**2 - f + 1. Let p be 9\/2*8\/(-6). Let v be (8\/12)\/((-2)\/p). Is m(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2349 and 1\/(75\/6) + (-146558)\/85725?\nAnswer: 2349","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379459 is divided by 1960?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -115908 or -115933?\nAnswer: -115908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**6\/120 - g**5\/12 + g**4\/8 - g**3\/2 + g**2. Calculate j(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1386.3 - 1311. What is u rounded to 0 decimal places?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5946 is divided by 1869?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*((-s**3 - 2*s**3 + s**3)*(-5 + 0 + 3) + 11*s**3 + 47*s**3 + 13*s**3).\nAnswer: -150*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of 7*f**5\/20 - 3*f**2\/2 - 3*f. Differentiate l(i) with respect to i.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/15)\/((-1)\/5). Find the second derivative of -5*z**5 + 3*z - l*z**4 + 4*z**4 wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/2*(-1)\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 252 - 252.2. Which is the nearest to 1? (a) w (b) 8 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 2873.144 millennia?\nAnswer: 2873144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -93739, -374942, -843615, -1499758, -2343371, -3374454, -4593007?\n\"Answer: -93735*z**2 + 2*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 3 in decreasing order.\nAnswer: 3, 1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 193204 and 23311819.\nAnswer: 4391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s - 8. Let m be t(-7). Is 2 a factor of 10*(m\/(-20))\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 (base 8) in base 16?\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*u = 5*p - 380*u - 75, -57 = -4*p - 5*u. Solve 2 = -5*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 402, 807, 1216, 1629, 2046?\n\"Answer: 2*u**2 + 399*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nk when two letters picked without replacement from lkkmjkklnndnnjnljnk?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -15386439 divided by 125093?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + w - 2*w)*(63*w**2 + 341*w**2 - 68*w**2)*(-2 + 6 - 3) to n*w + a*w**2 + v + z*w**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + i**2 + 2*i + 3. Let d be 9\/6 - (-15)\/6. Let c(k) = 2*k**3 + k**2 + 3*k + 4. Calculate d*o(f) - 3*c(f).\nAnswer: -2*f**3 + f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 10 (b) -1\/4 (c) 1\/104 (d) -1\/15 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 571*x. Let p(s) = -3*s. Calculate i(p(h)).\nAnswer: -1713*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b + 2. Let h be p(4). Let t = 8 + h. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 7. Let a be y(-7). Let i(m) = -m + 3. Let b be i(-3). Let h = b - -64. Calculate the greatest common divisor of a and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 150 = 3*n. Suppose 0 = -u + 5*r + 28, -5*u + 2*r + n = -r. Suppose -u*l = -l. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 q when three letters picked without replacement from nennaeenenq.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-7 - 9\/(-3) - 1). Find the third derivative of 0*z**2 + 17*z**2 + 12*z**3 - z - 8*z**s wrt z.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -68, -137, -204, -269, -332, -393, -452?\n\"Answer: z**2 - 72*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/4023 and 41\/27.\nAnswer: 4023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 422\/9, -0.1, -5, 0.2 in increasing order.\nAnswer: -5, -0.1, 0.2, 5, 422\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.02563 + -0.0354\nAnswer: -0.06103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*h**6 + 3*h**4 - 22*h**2 + h.\nAnswer: 14880*h**3 + 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*m**3 + 128*f**3*m**2 + 9*f**3*m - 47*f**3 - 3860842*f**2*m**3 - 3*m**2 - m wrt m?\nAnswer: 12*f**3 - 23165052*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663640 at most 8663635?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 4. Let v be b(-6). Let k be 65519986\/63 + v\/(-9). What is k rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 7*a - 3*f - 4 = 0, 0 = -a - f - 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245, -1363, -4401, -10319, -20077?\nAnswer: -34635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -26\/7, 0.3, -5, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.96.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in 0.2, 2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 4, p: 1, o: 3, i: 4}. What is prob of sequence op?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a year?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -260, -4, 15 in descending order.\nAnswer: 15, -4, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20313230 (base 4) to base 9\nAnswer: -54748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 49205743247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67 plus -0.02?\nAnswer: -2.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, 1, 10, 17, 22, 25?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**3 + m**5 + m**3 + (-m**2 + 0*m**2 - m**2)*(-5*m**3 + 3*m**3 + m**3) + m**5 + 3*m**5 - 3*m**5 + (-5*m + 6*m - 2*m)*(6 - 6 - m**4).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -9*s + 114254. Suppose -3*q = 2*o - 8181, -5*q - s = -4*o - 3*q. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zrzzzzzrzzzzzrzzzr. What is prob of sequence zrrr?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 427992059 to the nearest integer?\nAnswer: 20688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 7, v: 6}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -14*s + 101. Let m be j(7). Solve -4*n - m*b = -b + 2, -b + 2 = 5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - -5.6. Which is the biggest value? (a) p (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -192*w. Let l(z) = 81*z**2 - 1010. Determine n(l(u)).\nAnswer: -15552*u**2 + 193920","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g - 3*g + 3*g + 6*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -10, 32, -3\/473?\nAnswer: -3\/473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 13*n**2 - 15*n**2 - 2*n + 14 + 3*n**2 - 8*n**2. Calculate i(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qpp when three letters picked without replacement from qpaegpx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -50*s - 5. Suppose 657*i - 5 = 652*i. Let r(z) = z + 1. Determine i*t(j) + 5*r(j).\nAnswer: -45*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*f = -10, 18 = 4*d + 2*f + 8. Let w(v) = v**3 - 5*v**2 + 3*v - 4. Calculate w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55407 + -80.927.\nAnswer: -55487.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311960*u**2 + 310665*u + 1295 = 0. What is u?\nAnswer: -259\/62392, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13597 is divided by 170.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(2\/27)*p*p**(-2\/5)*p\/p**(1\/2) assuming p is positive.\nAnswer: p**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h + 33. What is the tens digit of g(11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 338.5 + -338. Let m = -0.237 + 0.037. What is the closest to 325 in r, m, -1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1667.\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**5\/40 - 11*x**4\/24 + 2*x**3\/3 + 5*x**2 - 575*x. Let q(a) = 0. What is a?\nAnswer: -1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2968 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 354 - -1 - (4 - 1). Let j(u) = -4*u**2 - 351*u**3 + v*u**3 + 0*u**2. Let d(g) = -10*g**3 + 45*g**2. Determine -4*d(y) - 45*j(y).\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-83 - -41) + -12 + 10?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 572 (b) 4\/35 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 48 - 48 + (-q**2 + 5*q**2 - 2*q**2)*(-4 + 4 + 6*q**2) to b*q + a*q**4 + w + s*q**3 + t*q**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*q + 25*q + 8 + 3*q + 6*q.\nAnswer: 46*q + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -2*u - 603. Let x = 301 + u. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 + u - 2. Let b be d(0). Calculate the remainder when 27 is divided by (b\/5)\/(3\/(-75)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 19. Suppose y - 18 = -3*y + 2*x, 5*y - 22 = 2*x. Let b = y + -2. Solve 18 = b*d - 2*l, -w*d + 5*l = -6*d - 17 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 + 2*k**2 - 6*k**2)*((0 - 2 + 0)*(2*k - 3*k + 0*k) + k - 2*k - 3*k).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s. Let v(k) = 101*k + 506. Let t be v(-5). What is n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 - 3*h**2 + 2*h - 3. Let j be m(2). Find the second derivative of -5*w**j + w**5 + 2*w - 2*w**5 + 2*w**5 wrt w.\nAnswer: -80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219969877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p. Let w(c) = 12*c. Let o(f) = -9*r(f) + 2*w(f). Let t be o(-2). Suppose 3*u - 13 = q, 3*u = t*u + 4*q - 23. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + 93\/2. What is the nearest to v in 13, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -7, 4.\nAnswer: -7, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/20 and ((-1)\/(-2))\/((-48)\/402).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -2*m + o, -5*m + 2*o - 5*o - 62 = 0. Which is the nearest to m? (a) 5 (b) 3 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 8 = -j + 2, 2*a = -3*j + 20. Suppose 5*o - 12 = j. Suppose -o*u = -2*r - 98, u - 2*u - 3*r = -42. Does 10 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 3*h + 42. Suppose 0 = -5*i + 17 - h. Suppose -i*g = 2*g. Is g equal to 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -387, -433, -503, -591, -691, -797, -903?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 9:16 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 75336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 415650\nAnswer: -83130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56620749 rounded to 3 decimal places?\nAnswer: -0.566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1222556 from -6.\nAnswer: -1222562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6630 and 10608?\nAnswer: 53040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -378*x + 358*x + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/3 + 82*a + 8587\/3 = 0. Calculate a.\nAnswer: -31, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 260 = -18*h. Solve -4*k = -10 + h for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 87 + -10. Suppose -14*b = f - 427. What are the prime factors of (b\/(-5))\/(-10) + 258\/4?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91503 divided by -6.\nAnswer: 30501\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-seven fifths of a century?\nAnswer: 13680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1234408 and 103\/26264.\nAnswer: 1234408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dedu when four letters picked without replacement from {e: 4, d: 2, q: 1, u: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 + 6*b**2 - 22*b + 182. Determine i(7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-6) + 11*1. Suppose -8 - 36 = -4*j. Which is greater: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.25 and -159886.\nAnswer: 39971.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/25 (c) -3\/8 (d) 4 (e) -39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9279 - -7298. Let n = -8596 + m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1672, -1673, -1674?\n\"Answer: -f - 1671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2076 and 4325?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76437459 to the power of 1\/3, to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 8453*m**3 + 6*m**2 + 6*m. Let f(n) = -8458*n**3 - 7*n**2 - 7*n. Determine -6*f(r) - 7*t(r).\nAnswer: -8423*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 33 in -3, -3\/4, -1, 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308098 and 2478.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 156 = 38*y + 252, -2*y - 58 = -2*r - 40 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 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: Suppose -4*i = -0 + 20. Let p(c) = 10*c**3 - 2*c - 1. Let u be p(-1). Let s be u\/6*(-4)\/(-6). Sort 3, i, s in ascending order.\nAnswer: i, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)*a**4)**(1\/17)\/((a*a**(4\/7)*a*a**1)\/(a\/(a\/(a*a**(-1)\/a)))**(-26)) assuming a is positive.\nAnswer: a**(5387\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -16*m + 305. Calculate f(14).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 3*a - 2. Let m be h(4). Let r be (5\/15)\/((-1)\/(-15)). What are the prime factors of 398\/r + 4\/m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3346, -12159, -26438, -46183, -71394, -102071, -138214?\nAnswer: -179823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4939 - 4921 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1128, -1121, -1100, -1059, -992, -893, -756, -575?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f + f + 4*f)*(-2421*f**2 - 698*f**2 - 1718*f**2) to the form o*f**3 + k + n*f + a*f**2 and give o.\nAnswer: -9674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)*a*a)**34*a**36*a**8 assuming a is positive.\nAnswer: a**(-670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**3 + 3 + 3 - i**4 - 3 to the form q*i**4 + k*i + w*i**3 + l + h*i**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (-24 - 20) - (3 - 1).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-9)*12\/24.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 815560.7 decades?\nAnswer: 8155607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2595936.\nAnswer: 2, 3, 7, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 9. Let f(x) = 12*x - 4. What is the remainder when f(2) is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -10.781\nAnswer: -5.3905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i + i)*(9*i**3 - 18*i**3 + 2*i**3)*(6*i + 0*i - 4*i).\nAnswer: -28*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 12*y - 13. What is the least common multiple of n(10) and 31?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 10*r - 28 = 0. Let w(x) = -6*x - 37. Let s be w(r). Solve -1\/4 + 3\/4*k**4 - 1\/2*k**3 + 3\/4*k - 1\/4*k**s - 1\/2*k**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - x = -772, 466 = 2*g - 4*x - 72. What is the least common multiple of 999 and g?\nAnswer: 6993","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, -2\/11, -0.5, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 14 - 1 + 26*r + 12.\nAnswer: 26*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.8 + -30016678813.\nAnswer: -30016678822.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1015 and 16037?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2. Let n(b) = -6285027*b**2 + 2*b - 2. Give n(y(l)).\nAnswer: -25140108*l**4 + 4*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 7*y - 2038. Suppose -y - 485 = -6*o. What are the prime factors of o?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 73. Let n(c) = 3507*c**2 + 3545*c**2 - 7059*c**2. Determine n(p(v)).\nAnswer: -28*v**2 - 2044*v - 37303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27855307 to the power of 1\/2, to the nearest integer?\nAnswer: 5278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t + 147. Let a be r(16). Let q be a\/(-25) - 18\/45. Let g(w) = 0 + w + 1 + 3*w + w**2. Determine g(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 8867084.\nAnswer: 8867084","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -38*r**3 - 5*r**2 + 251 wrt r.\nAnswer: -114*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + 6*(sqrt(11)*-3 + -5 + 4*(sqrt(176) - sqrt(11)))*-2.\nAnswer: -108*sqrt(11) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062518 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 47661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 42*u = -144. Put -97, 4, u in increasing order.\nAnswer: -97, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/8? (a) -0.5 (b) 1\/5 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + 5*n)*(0 - 3*n + 2 + n - 3*n + 3*n - 2*n + (1 + 0 - 2)*(-1 + 1 + n) + 2*n + 3*n - 4*n + 3 - n - 3 + 1 - 2*n - 1).\nAnswer: -21*n**2 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + -a65?\nAnswer: -a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4 + 125*p**3 - 621*p**2 - 342*p.\nAnswer: -p*(p - 57)*(p - 6)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 97*x. Let j(d) = 331*d**2. Calculate n(j(a)).\nAnswer: 32107*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10\/(-295) - 1824008\/(-2419)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9ab (base 16) to base 6.\nAnswer: 15243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:55 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - j**2 - j - 1 + 2*j**3 - 6*j**3. Let f(t) be the first derivative of t**4\/4 + 2*t**3\/3 + t**2 + 2*t + 4. Give -f(v) - 2*l(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*z - 19*z - 2*z**2 in the form t*z + b*z**2 + n and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89432, 89626, 89820, 90014?\nAnswer: 90208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2\/5, 2\/13 in descending order.\nAnswer: 2\/13, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 123*h**2 - 62039*h + 62040*h - 28*h**2 + 2*h**4 + 5*h**3 as n*h**3 + m + v*h + j*h**4 + t*h**2 and give t.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fcccff. Give prob of picking 1 c and 1 f.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.78566 rounded to one decimal place?\nAnswer: 215.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, n: 1, u: 1, f: 3, s: 3, v: 2}. What is prob of sequence vuu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -30*m**2 + 9*m. Let y(v) = -v**2. Calculate y(j(d)).\nAnswer: -900*d**4 + 540*d**3 - 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 14. Let s be v + (-4 + 5 - -2). What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3458 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 49 - 1. Does 3 divide 3\/j*2*-6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*i + 11. Suppose -4*v + 5*o + 42 = 0, i*v - 14 = 3*o + 16. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -6*m**5\/5 - 3*m**4\/2 - 21*m. Find the third derivative of v(c) wrt c.\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 10*b**2 - 7*b - 55. What is j(-4)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 6570?\nAnswer: 6570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1270072 is divided by 980.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2203431 (base 7) to base 5\nAnswer: 32121114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 6\/157 (c) 2 (d) 2\/9 (e) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+33918.742102\nAnswer: 33918.442102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 6*i**4 + 3*i**4 + (4*i - 4*i + 2*i**3)*(40*i - 2070 + 2070) + 4*i + i**4 - 4*i.\nAnswer: 82*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 5*k**2 + k + 7. Let l be (-18)\/(-4) + (-3)\/(-6). Suppose 4*d + 34 = -0*n - 2*n, -l*n - 3*d - 57 = 0. Let u = 4 + n. Give m(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/14*2 + 370\/70. Suppose b*q + 2*x = 144, 19 = q + 5*x + 4. Does 30 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -94092.00000039527 + 94092. What is b rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 266 + -275. Let f(d) = -2*d**2 - 20*d - 15. Let z be f(g). Solve 5*n = -3*x - 19, -3*n - 17 = -z*x + 2*x for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 6. Let z be q(18). Let h(d) = d**3 + 3*d**2 - 3*d - 3. Let t be h(-4). Let l = z - t. Which is bigger: l or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-8) + (-99)\/(-14))\/(4\/32).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 3:25 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-60)\/48)\/((-5)\/20). Which is the closest to 2\/3? (a) -0.76 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*i - 3018 + 1055 + 977 + 985.\nAnswer: -34*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41665033 is divided by 18444.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 154. Let v be t(0). Suppose 34 = -4*i + v. What is the remainder when i is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -8*p. Let w = 1 - 5. What is the remainder when g(w) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1100 <= -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 47, 5, 238 in decreasing order.\nAnswer: 238, 47, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 56*d**2 - 40*d - 148. What is the tens digit of v(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*a + 23 - 303 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0 + 4 - 5 - 5*n. Is 5 a factor of d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j - 82. Let s be g(-7). Which is the nearest to s? (a) 0.4 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 7*n = 20. What are the prime factors of (0 - n)*(-50)\/(-40)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2904202 to the power of 1\/2, to the nearest integer?\nAnswer: 1704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35742681851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(-2)*(-4)\/3. Let a(z) = -2*z**3 - 3*z**2 + 35*z + 2. Calculate the remainder when a(v) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7320 = 5*i, -113*i = -3*x - 114*i + 4398. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 81*f - 1513. Calculate the remainder when 921 is divided by h(-44).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*t**2 - 607*t**2 + 0*t - 20*t**3 + 2*t.\nAnswer: -20*t**3 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 549 - -1?\nAnswer: 54a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15460 - 15466)\/((-1)\/8).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -517*j*q**3 - 56*j*q**2 + 83458*j*q*w - j - 2*q**3*w + 2 wrt w.\nAnswer: 83458*j*q - 2*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 11*h**8\/1008 - 2*h**7\/63 - h**6\/24 + h**5\/9 + h**4\/18 - 102*h**2. Suppose n(j) = 0. Calculate j.\nAnswer: -1, -2\/11, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (9 + 3)*4*11\/(33\/434).\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/7)\/(8\/28)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - -765?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(304) + sqrt(304)*2 - sqrt(304))*-6 + sqrt(304))\/(sqrt(8)*-1*-1))\/(sqrt(150)\/(sqrt(3)*-1)*-4))**2.\nAnswer: 2299\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0668652 meters?\nAnswer: 66865.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - -239. Suppose 0 = -14*x + 18*x - i. What are the prime factors of x?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 4*h)*(216*h - 145*h - 120*h)*(3 + 0 - 1) as k*h**2 + v*h + q and give k.\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 24, -45\/22, -1\/6, 2\/15, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-364)\/(-112) + 1 + -1)*(-23352)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let d(h) = -1. Let c(w) = 2*w. Let m(a) = 2*c(a) - d(a). Give -3*m(j) + 7*y(j).\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 3*x + 10. Let k = 90990 + -90987. Let r be (-3)\/(-2*3\/6). Solve 3*b - b + x*t = k, 2*t + 14 = r*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times 1369.626\nAnswer: 479.3691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1283*k - 1133*k + 4040*k - 1024*k.\nAnswer: 600*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of 1\/60*m**6 + m**2 + 0 + 0*m**3 + 0*m**4 + 1\/20*m**5 + 0*m. Find the third derivative of a(w) wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 22*d + 255 - 633 = 0 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 781982 to the nearest integer?\nAnswer: 884","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeieeeeeeeeee. What is prob of picking 1 i and 1 e?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, s: 6, f: 6, l: 3}. Give prob of sequence slss.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 2:40 PM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28509*t + 28518*t - 67 = 5 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 15 = g. Suppose -g*s + 5 = 2*s. Calculate the smallest common multiple of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**6\/15 - h**5\/5 - 2*h**4\/3 + 8*h**3\/3 - 17*h. Solve x(z) = 0 for z.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09746922 times -2?\nAnswer: 0.19493844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t**6 + 1\/12*t**5 + 0*t - 3\/70*t**7 + 0*t**3 + 0*t**4 + 2*t**2 + 0. Find the third derivative of j(k) wrt k.\nAnswer: -216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3 times -5638?\nAnswer: -35519.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 7396550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 71*x**6\/6 + x**5\/5 - 136*x**3\/3 + 43. What is the third derivative of z(c) wrt c?\nAnswer: 4260*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 2*q + 10220 = 10330, 70 = -2*u - 2*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5*16\/(-80)*-75.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2191 + -2173. Solve 0 = 16*c - x*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(4)*2) - (sqrt(1176) - (sqrt(1176) + -2*sqrt(1176) + sqrt(1176))))\/(sqrt(48)\/sqrt(486)).\nAnswer: -117*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 8*z**2 + 4*z + 4. Let r be y(-1). Let l(w) = -w + 26. What is the smallest common multiple of l(r) and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4957, -2, -4, -5.\nAnswer: -4957, -5, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 36*j + 1 + 33*j - 7*j**3)*(j**2 - j**2 - j**2).\nAnswer: 7*j**5 + 3*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**(-3\/8)\/h)*h)\/((h*h*h\/(h\/(h*h**(-6\/7)*h)))\/h*h))**28 assuming h is positive.\nAnswer: h**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 484, 3, -47, -23, -4 in ascending order.\nAnswer: -47, -23, -4, 3, 484","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from thyhthtyhttttyhy.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 6*l - 10. Let j be z(8). Suppose -2*y - 68 = -j*y. Find s such that -s + y*s**3 - 9*s**5 - 9*s**5 + 2*s**5 = 0.\nAnswer: -1, -1\/4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let c(m) = -7*m + 9*m + 2*m. Determine c(z(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-4) + 34\/8. Let p(r) = -r**2 + 6*r + 3. Let i be p(f). Let u = i - 7. What is the least common multiple of 7 and u?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 603 + -485. Suppose -2*h - 4*f + i = f, 4*f = h - 46. What is the remainder when 375 is divided by h?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in -7, -2\/11, -2, -1\/4, -1910?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -216, -412, -610, -810, -1012, -1216?\n\"Answer: -q**2 - 193*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 - 17 - (-4 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.4 + 0.4. Suppose -3 = 3*w - 0. Let x be 2\/(-7) - (-1 - w). Put x, s, 5 in decreasing order.\nAnswer: 5, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316382 and 43746?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5\/15 + ((-694416)\/153)\/92\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**(-3\/11))\/x*x)\/(x**(-7)*x))**37 assuming x is positive.\nAnswer: x**(3367\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/13 less than -1856?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-4))**(-5\/6) assuming o is positive.\nAnswer: o**(-25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.88 - -1. Let r = 0.22 - x. Is r greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 + -38. Let w be 0 - (-47)\/16 - 3. Put l, w, -0.3, -0.4 in decreasing order.\nAnswer: l, w, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*q + 1076, -3*q - 642 = -6*q + 3*j. Let m = 235 - q. Solve 22 = 5*s + z, 0 = 5*s - 2*s - z - m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 8:27 AM?\nAnswer: 9:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-10 + (9 + 0 - 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -937*s*z + 2*s + 15250*z wrt s.\nAnswer: -937*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49940.404 - -49908.4040115. Let x = -32 - b. What is x rounded to six dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-308)\/16*424\/(-3498)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 341324 to the power of 1\/3, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59377647*h**2 + 5711723*h?\nAnswer: -118755294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3133 - 0.1133. Which is the fourth biggest value? (a) 0.035 (b) h (c) -4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1387, 1385, 1381, 1375, 1367?\nAnswer: 1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/10*(-100)\/12. Suppose -3*u = v*o - 3*o + 394, 5*u + 662 = 2*o. Are u and -132 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 8*a**2 - 147*a + 125. What are the prime factors of o(44)?\nAnswer: 5, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 1:42 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 11*m + 30. Calculate t(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 42 = -2*f. Let j(i) = 13*i**2 - 4. Let z(d) = 9*d**2 - 3. Calculate f*z(p) + 5*j(p).\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*x + 6, 2*i - 2*x - 105 = -81. Solve i*n = 16*n + 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmnnnzmz. What is prob of picking 2 z?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17338632383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -5 (b) -1 (c) -0.2 (d) -71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 229.11 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86597 and 456659.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3)\/m*m)**(-6)*m**(-2\/15)*m*m*m**(-2)*m)\/(m**(-7)\/m*m\/((m*m**(-6))\/m*m)*m\/(m\/(m\/(m*m**4*m)))*m**(-1)) assuming m is positive.\nAnswer: m**(103\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -82, -89, -106, -139, -194, -277?\n\"Answer: -l**3 + l**2 - 3*l - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {y: 5, v: 4, e: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhoiihlha. Give prob of picking 2 i.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7641 is divided by 843.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470653485 to the power of 1\/2, to the nearest integer?\nAnswer: 38349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/15 - 335232*h**2\/5 - 42142685184*h\/5.\nAnswer: -2*h*(h + 251424)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssseerqqmerqsmqslss. Give prob of sequence el.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p*p\/(p*p\/p**(-1\/3)*p))\/((p*p**(2\/11))\/p*p\/((p**(-2\/17)\/p)\/p))*(((p*p**(-3))\/p)\/p**(-2\/7))**1 assuming p is positive.\nAnswer: p**(-40633\/3927)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 199962 and 63756?\nAnswer: 4399164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 191417 (b) 1\/8 (c) 0.2 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*z**2 - 7*z + 5*z + 0*z + (3*z + 2*z - 2*z)*(3*z + 8*z + 0*z) as y*z + w + o*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46005 = -2*w + q, 2*q = 4*w + 6*q + 91980. Round w to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 316764730?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46481047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 15327360 to the nearest ten thousand.\nAnswer: 15330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 97950?\nAnswer: 1\/48975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28665.3 + -28665. Let c = 4.8 - 0.8. What is the second biggest value in c, 5, l, 6\/19?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -352\nAnswer: -70.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - 20. Let y be (d - -1) + 27 + 1. Suppose i = -2*i - 4*f + 36, 0 = 2*i - 2*f - y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/21*60\/(1140\/1729)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 173 - u**3 + u**2 + 2502*u**4 - 2500*u**4 + u**2 as t*u**3 + i*u**2 + j*u + b*u**4 + w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, a: 3, u: 5, q: 6, f: 1, i: 1}. Give prob of sequence ux.\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260*p = 258*p. Suppose 3*g - 4*g = -2*k - 8, -4*g = -2*k - 14. Suppose g*j - 15 - 23 = p. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 m, and 1 i when three letters picked without replacement from {t: 2, z: 4, l: 3, i: 1, m: 6}?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciccgigcicstcvi. What is prob of picking 1 g and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2 + 12*a - 337944. Let q(r) = -r. Determine i(q(w)).\nAnswer: -2*w**2 - 12*w - 337944","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3752176 is divided by 747?\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/7552692 and -11\/11152.\nAnswer: 30210768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4767 - 0.0233. Let q = -83 - -84.82. Let r = q + n. What is r rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121 (base 3) in base 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6 + 62*h + 47*h - 11*h. Let z be g(6). Calculate the remainder when z\/21 + (-4)\/14 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4579\/13734 + -1\/13734. Which is the biggest value? (a) 0 (b) -5 (c) -122 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 8*g - 1. Let l(b) = -2*b**3 + 2*b**2 - 2*b + 3. Let a be l(2). Suppose -k - k = -16. Let f = k + a. Calculate h(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 533338, -2, -1, 5, -5, 2 in ascending order.\nAnswer: -5, -2, -1, 2, 5, 533338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017945042047 rounded to 4 decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32355660 to the power of 1\/2, to the nearest integer?\nAnswer: 5688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*r**3 + (-1 - r**2 + 1)*(2*r - 2*r - r) + 1 - r**3 + 0*r**3 + 400*r**2 - 375*r**2.\nAnswer: -2*r**3 + 25*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*((-6)\/(-2) + 2). Suppose 4*y = w*z - 2, -z = -3*y + 2*z. Factor 0*i - 1 - i**3 + i + 2 - 2*i**2 + i**y.\nAnswer: -(i - 1)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + y**2 + 2)*(1 + 2 - 2) + 5*y**2 - 4*y**2 + y**2 in the form f + p*y + a*y**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 7. Let q be y(-4). Let n be -1 + 0 + (2 - q). Let v be -2 + 1 + n + 5. Solve 3 = v*o - 5 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -11614781.\nAnswer: -38\/11614781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3014 + -2325.5. Let l = b - 689. What is the second smallest value in l, 69, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1473415.9609 - -1473513. Let a = 0.0391 - v. Is -3 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 194 + 2132\/11*w - 2\/11*w**2.\nAnswer: -2*(w - 1067)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = q - 0 - 4, -20 = 4*q. Let r(v) = 4*v**2 + 5*v - 15. Let a be r(j). Let h = 42 + a. List the prime factors of h.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**6 - 332*b**4 + 129*b**2 + 2*b.\nAnswer: -120*b**3 - 7968*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r = 0. Suppose r = -z + 4 + 5. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 - -0.72. Let a = q + -2.92. Let x = 1 + a. What is the second biggest value in x, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 1:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:22 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -178*k**4 + 3*k**3 - 72*k. Let y(r) = -178*r**4 + 4*r**3 - 72*r. Let z(p) = 4*q(p) - 3*y(p). Find the second derivative of z(j) wrt j.\nAnswer: -2136*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - (-2 - -1))*(8 + -23). Suppose 104 = -11*y + k*y. Is y a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000536 to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let f(o) = -123*o**2. What is p(f(n))?\nAnswer: 123*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 23*x**2 - 52*x - 47. Determine w(-25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -18. Let u(c) = -18*c - 14. Let h(n) = -17*n - 13. Let k(q) = l*h(q) - 5*u(q). What are the prime factors of k(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-2 - 4*g + 0*g + 3*g)*(3 + 2 + 4)*(-8 + 2 - 8).\nAnswer: -378*g - 756","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*n + 5*n + 474003, 3*y + 473994 = 2*n. Round y 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 ten millions digit of 80462883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 182246 to the power of 1\/4, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11\/2, 1\/3, 0.003, 3?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**2 + 257*x + 413. What is d(-28)?\nAnswer: -511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 12*j**2 + 89*j + 232. Give w(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 11 = i. What is the highest common factor of i and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - (17 + 26 - 17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 428576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 8)*(-2*t + 3 - 3).\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(1\/4)*f)*f**22*f assuming f is positive.\nAnswer: f**(91\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2*f + 29 = 0, q - 3*q + f = -17. Suppose q*g + 5*g = 22668. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 + 25*x - 104. Let v be i(-16). Solve -25*h + 23*h + 4*f = -v, 4*h - 2*f - 22 = 0 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, c: 1, e: 5, p: 2, f: 4, k: 3}. What is prob of sequence ecpe?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*n**3 + 8*n**2 + n**2 + n**2 - 4*n**2 wrt n?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 530535 - 530530. Let b = 2.6 + 0.4. What is the nearest to 0 in d, -0.5, 2, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2926765 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/11 or 25288328?\nAnswer: 25288328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 34*d**2 + 415*d + 10061. What is k(-38)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - 6*l - 5. Let h(t) = t + 18288 - 18288. Determine -6*h(a) - q(a).\nAnswer: -2*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by -5\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*b, 3*k + 3*b = 2*k + 321. Let y = 177 - k. Let r = -80 - y. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 97 = 34 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*k**3 - 1601*k**2 + 32*k**3 + 1601*k**2 - 471*k**3.\nAnswer: -866*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.181 to 1 dp.\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 22 = 4*h, -h = 91*j - 95*j - 5 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1 = 2. Is -1 + b + 60 + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 547*z + 1090. Let k be m(-2). Put 0, k, 3, 9 in decreasing order.\nAnswer: 9, 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -90 + (-68)\/34*20 + 18\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**4\/5 - 11032*j**3\/5 + 7661328*j**2\/5 - 1572477856*j\/5 - 3175689344\/5 = 0.\nAnswer: -2, 466, 1828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, b: 1, i: 12, s: 4}. What is prob of picking 2 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 454886291 a multiple of 2674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 5*l - 50, -d + 203024*l - 203032*l + 80 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1037 - -6983.\nAnswer: 8020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -102 (b) 0.03 (c) 3\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:06 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10666 and 1112031827?\nAnswer: 5333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -5*f - x, -2*f + 7 = 5*x - 4. Suppose -16*l = -21*l - 25, 0 = -2*v + 5*l + 27. Solve -v = f*s - 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 1338*f - 14723. Determine l(11).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -538769?\nAnswer: -4\/538769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1*(-3)\/1*-11 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - v = 16, -6*v + 7*v + 6 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-21)*((-1960)\/4)\/14.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 17*n**2 - 921*n - 16889. Determine s(-18).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4130\/280*(-68)\/(-17).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 + y**3 + 2 + 3 - 3 + 0*y**3 - 2*y**4 to the form u*y**3 + f + j*y**2 + w*y + s*y**4 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -922 + 923. Suppose s - 3*s = -2. Let w = s + j. Solve -u = 3*a + u - 14, 2*a + w*u = 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/((y*y**9)\/y))**(6\/11)*(y**(-1))**(1\/62)*(y**(6\/5)*y)\/(y\/y**2) assuming y is positive.\nAnswer: y**(-33741\/23870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(240))\/(2*sqrt(500)) + (sqrt(30) + sqrt(480)*3)\/(sqrt(100)\/(sqrt(10)*1)).\nAnswer: 64*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (1 - 1 - 0). Suppose 3*w + z*w = 48. Calculate the highest common factor of 128 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15 + -18 + 1*73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -39. Let o = 319.3 - 319. Which is the nearest to -0.1? (a) 2\/17 (b) o (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 59 = -499. Suppose 3*x = -d - 62. Let n = x + 86. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18431 + -8540. What is the greatest common factor of o and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85684070 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 90674690306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328005037 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 - 50*n**2 + 224*n - 232.\nAnswer: -2*(n - 2)**2*(n + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 79809.69ml?\nAnswer: 79.80969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**2 - 70*z**2 - 13*z**2.\nAnswer: -79*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 12*p**2 + 15*p - 29. What is b(11)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 6896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*c + 21, -2*m = -c + 2 - 11. Suppose 0 = -q - 0*j - 3*j - 768007, 0 = 2*j - m. Let k be (1 - -1) + q\/8. Round k to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 - -68. Let q(w) = 34*w + 75. Let n(c) = -17*c - 38. Let m(k) = d*n(k) + 3*q(k). What is the derivative of m(o) wrt o?\nAnswer: -17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-5))\/(-1) - 26\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4315427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*i**3 - 537*f*i + 381*i**5 + i**3 - 2*i**2 wrt i?\nAnswer: -12*f + 22860*i**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -312, -585, -1008, -1629?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*(21\/(-6) - -3)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 - x + 5. Suppose -12 = -2*j - 3*n, 5*n - 9 = -3*j + 11. Let t be a(j). Is 5 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.879 + 0.879. Let d = 0.067 - 0.283. What is the third smallest value in -0.2, t, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 10 = -3*g. Suppose -5*x = 3*u - 85, -g*u - 4*x + 25 = -91. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -666 - -662 - (8 + -4 + 48)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 16 = -4*n. Let h(c) = -n - c + 22 - 13. Give h(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/m**(-2\/5)*m\/(m**2\/m)*m*m*m**0*m assuming m is positive.\nAnswer: m**(-3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1136 + 264. What are the prime factors of t?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 53 (c) 519\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -1166*c + 1238. Determine d(2).\nAnswer: -1094","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.9. Let t = 2 + h. Suppose -4*g = -4*j + 12, 3*g + 2 = 5*j - 9. Which is the closest to g? (a) t (b) 5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + c - 8 = 0, -10 = -2*k - 4*c - 2 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*((-2 - 0)\/(-2) - 1). Suppose -42 = 3*l + 72. Let c = l - -33. Which is smaller: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-4)*-1*1. Suppose j = 2*g + 2*k - 3022, k = g + g - 3028. Let y = g - 2713. What is y rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 618219945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 5:28 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 84 - 74. Suppose s*b = 18*b - 1064. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3706133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 + -4?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 3. Let l be (-18)\/20 - 2\/(-4). Let h be (9\/6)\/(7\/(-2)). What is the second smallest value in l, h, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 37*c + 250. Calculate l(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*n + 97*n = 944. What is the remainder when 20 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12381 divided by 3.\nAnswer: 4127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(10)\/sqrt(2))*6 + sqrt(45)\/(sqrt(27)\/sqrt(3)).\nAnswer: 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153192468 rounded to the nearest one hundred thousand?\nAnswer: 153200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-29 - (-240)\/10) + 69\/5. Solve -22\/5*c**4 + d*c**3 - 144\/5*c + 24*c**2 + 0 + 2\/5*c**5 = 0 for c.\nAnswer: -2, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 47732*h**4 - 87055?\nAnswer: 190928*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/5 + -3 + 396\/90.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -4, 2, 4, -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -212175580137.3769877 - -212175064663.3. Let b = k + 515474. Let h = 0.077 + b. Round h to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 2*q - 7*x - 22, x + 16 = 4*q. Solve 5*v = 4*u - 3 + 6, -q*v - 7 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-1 - 4\/(-5)). Let o(s) = -14*s. Let z be o(17). Let c be (-8)\/6*(-51)\/z. Put c, 5, p in descending order.\nAnswer: 5, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10570, 21223, 31878, 42535, 53194, 63855?\nAnswer: 74518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007650325 to 7 decimal places.\nAnswer: 0.0000765","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 77450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25551633441917\/262897597867 + -1\/239651411. Let v = g + 278512013\/21940. Let a = v + -12788. What is the common denominator of a and 17\/16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -8*s**2 - 25*s - 4. Let n(z) = -18*z**2 - 44*z - 7. Let f(j) = 7*k(j) - 4*n(j). Let t(v) = -v**2 + 1. Calculate -f(g) + 2*t(g).\nAnswer: -18*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/2 at most -53.65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 20\/6*90\/(-60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + t**2. Let g(o) = -12*o**3 + 4*o**2 + o. Determine 3*a(s) - g(s).\nAnswer: 9*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 3*z + 5*f, 3*f - 230 = 5*z - 79. Let i = z + 40. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2636.\nAnswer: 2, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2, 5, -0.63?\nAnswer: -0.63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -6. Suppose -13 = p*b + 5*h, 3*b - 4*h = -3*h - 11. Let l be 64\/(-36) + b\/18. Which is greater: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2 - 5*x - 14. Let d(b) = -b**2 + 2*b + 7. Let y(k) = -5*d(k) - 2*j(k). Determine y(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z - z = 16 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10010111?\nAnswer: 10010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 3, 0, -4 in descending order.\nAnswer: 39, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 47 - 213 = -w, -3*l = -5*w - 248. Does 21 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1272939 divided by -71?\nAnswer: 1272939\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -340.155637 to the nearest integer.\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -59 and 1.5.\nAnswer: -88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1075.66743 to the nearest 10.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1248848.\nAnswer: 2, 89, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66612?\nAnswer: 2, 3, 7, 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 5*f + 30, 2*d = 2*f + 25 - 9. Let v(h) = -h**3 + 7*h**2 + 2*h - 8. What is the remainder when 18 is divided by v(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 + 1069. Calculate the greatest common divisor of 43 and k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2253 + 117*j + 1109 + 1144.\nAnswer: 117*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4 = -19*y + 18*y, -2*i - 20 = -5*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -10, 50, 166, 356, 638, 1030?\nAnswer: 1550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*j + 0*j + 10 = 0, 3*z = j + 35. Solve 6 + z = -4*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1922789 or 1922746?\nAnswer: 1922746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 500.37 - 503. Let v = 112.47 - 113. Let t = x - v. Round t to 1 dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -50827258.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 3*p + 29. Let t(g) = 13*g - 1. Let k be t(7). Suppose 6 = -8*q - k. Let v be o(q). Calculate the highest common divisor of v and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -110 - -110.77. Let t = r - 0.87. Let u = -30.2 + 30. What is the closest to 1 in 0.4, u, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -4, 4, -16, 2\/3, -1593, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61099*k - 462 = -61132*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(22815\/315)\/39?\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 410 and 2050.\nAnswer: 2050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -4. Which is the biggest value? (a) h (b) -0.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*w - 386*w - 6372 = -2549*w - 154100 for w.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 5*x. Suppose 2*i + f + 3 = x, -1 = 2*f + 1. Let j(t) = -222*t**3 - t. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220724813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2063585?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17723 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*m**5 - 40 + 40 + 0 - m**5 + 0 + (-5*m**2 + 4*m**2 + 3*m**2)*(2*m**2 - 2*m**2 + 2*m**3) + 5*m**5 - 4*m**5 + m**5.\nAnswer: 22*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -85 and -84 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8180966 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: Suppose 3*t = 2*o + 5, -8*t + 3*t = 5*o. What are the prime factors of t\/(5\/15) + (-2 - -28)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pprwpwpprwrwp. What is prob of picking 1 r and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-15) + (-72)\/(-30). Solve -r*m + 3*m - 3 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2116 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j**2 + 5*j + 3. Suppose 3*v - 416 + 401 = 0. Let h(n) = 8*n**2 + 4*n + 3. What is v*f(r) - 6*h(r)?\nAnswer: -3*r**2 + r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 0.085397802?\nAnswer: 1.085397802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/14 + 3 + 148\/28. Suppose s - 4*s + 4 = -2*w, z*s = -2*w + 12. Solve s*t + t = -15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224767 and -3688444244.\nAnswer: -3688219477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 9:07 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.0542.\nAnswer: 0.02168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.248 times -6\nAnswer: -1.488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 211.1546 to 1 dp.\nAnswer: 211.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from piipppfipippippiifpp.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 394 and 394?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, v: 2, u: 3, b: 3, y: 3, g: 2}. What is prob of picking 2 b, 1 g, and 1 l?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2000 divided by -500\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 9. Let m be (1*u)\/(10\/15). Suppose 4*w = -m*v + 34, -9 = -2*w + 3*v - 1. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511539?\nAnswer: 3, 7, 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 23140?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14646 is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*2 - (-3 - -7). Let h(x) = -2*x**3 - 3*x**2. Let l be h(s). Solve 2*a + l*m = a + 20, 4*a = -3*m + 28 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1040)\/(-15) + (-2)\/(-3).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((178\/(-623))\/((-3)\/(-7)))\/((-3)\/63)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**2 - 1884 + 3807 - 1923.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -194, -215, -236, -257?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.68 + -3.32. What is the biggest value in -0.2, -1\/8, b?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 + 3*c**2 - 6*c - 5. Let s be x(-4). Let t = -11514 + 11514.2. What is the smallest value in 0.02, t, s, 2\/5?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 30 + 26 = 4*x, -5*x + 4*d + 51 = 56 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2793) - (sqrt(2793) + sqrt(2793) + sqrt(2793)*2) - (sqrt(342) - sqrt(342)*-2)\/sqrt(6))\/(sqrt(36)\/(sqrt(48)\/sqrt(4)*-6)).\nAnswer: 144*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.47 times -1.7?\nAnswer: -0.799","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*u**3 - 72*u**3 + 44*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-2\/83)*k*k*k)\/(k\/k**21))\/(k*k\/k**14*k*k**(-8)\/k*k) assuming k is positive.\nAnswer: k**(3650\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -45*u**2 + 358625*u - 876370.\nAnswer: -5*(u - 7967)*(9*u - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 7*t**2 + 16*t - 15. Let n be i(-3). Solve -5*p + 21 = 2*b - n, b + 7 = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41440 and 784.\nAnswer: 290080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/4 - -3 - 1. Suppose -v + s = v. Does 4 divide 3*(-1 - (-28)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13266 or -13265?\nAnswer: -13265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 394153 is divided by 9166?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-3 + 3 + 1 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 199, 201, 205, 211, 219, 229?\n\"Answer: j**2 - j + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + -1 + (-4)\/(-2). Suppose 2*o - 8 = -u*o. Suppose 0 = -o*j + 69 + 11. What is the lowest common multiple of 6 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*v + 16, v + 4 - 40 = 5*t. Let n be -7 + (21 - 0)*v\/48. Factor -4\/7*b**3 - 2\/7*b**4 - 2\/7*b**2 + 0*b + n.\nAnswer: -2*b**2*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -284? (a) 0.5 (b) -1 (c) 6 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34298?\nAnswer: 2, 11, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - -1. Let f = 7 - d. Let q = 2\/827 - -1624\/12405. Which is the smallest value? (a) 1\/10 (b) f (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z - 510. What is the remainder when z is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.47 less than 429?\nAnswer: 445.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/4 - 60\/(-8)) + (-9)\/3. Solve r*f = 11*f - 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - m**2 - m. Let l(x) = 82*x - 247. Let w be l(3). Give z(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2. Let v(j) be the first derivative of -8*j**3\/3 - 26*j + 4. Let q(b) = b**2 + 3. Let s(h) = -52*q(h) - 6*v(h). Determine k(s(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18524 and 396?\nAnswer: 166716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -801\/7 + 4047\/35. What is the biggest value in 0.219, c, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 4*t + 5*x - 10, -3*t + x = -16. Suppose 4*v = v - 15. Put 2, t, v in descending order.\nAnswer: t, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(2*o - o + o) - 16 - 3*o + 16*o - 9*o.\nAnswer: 6*o - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/116 - 223\/348. Which is the second biggest value? (a) -0.2 (b) f (c) 2 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 4*m**2 + 4*m - 5. Let c(u) = -2*u**3 - 10*u - u**2 + 5 - 3*u**2 + 3*u**3 + u**2. Let h be c(5). Is z(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.290919005 - 0.29094. What is y rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32711 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59 - (-66 + 211)) + 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and 50719.\nAnswer: 4311115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0064251*-0.5.\nAnswer: 0.00321255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-1.55\nAnswer: -0.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3927.5 rounded to the nearest 10?\nAnswer: -3930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 804.7073um?\nAnswer: 0.0000008047073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/75)\/(6\/30). What is the nearest to -0.2 in x, 4, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 16*o**2 - 5. Let q be ((-36)\/(-30))\/(9\/(-120)). Let u be s(q). Let i(d) = -3*d - 10. Let g be i(u). Solve g*j + 8 = 3*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 589\/(-527) + (-6)\/(-51) - (0 + -785). What is the highest common divisor of 245 and x?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-10))\/(1\/5). Let q(j) = -8*j**2 - 4*j**3 + j + 3*j + 0*j + 1. Let x(f) = 3*f**3 + 7*f**2 - 3*f - 1. Let z(b) = c*q(b) + 7*x(b). Factor z(k).\nAnswer: -(k - 1)*(k + 1)*(3*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 177, 294, 487, 756, 1101, 1522?\n\"Answer: 38*d**2 + 3*d + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -13\/15, -1\/35, -1, -3\/4?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20489, 2, 10.\nAnswer: 2, 10, 20489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -5*v + 6*v + 9, 4*i - 28 = 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35 - 0. Let g(n) = n**2 + 11*n + 15. Let d be g(-10). Let i be d\/(b\/14) - (2 + -1). What is the highest common factor of i and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -843827\/13 smaller than -64911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 2*s - 3. Let j be c(2). Let h = -12 + 17. Let l(k) = k**3 + 9*k**2 - k - 8. Let m be l(-9). Sort h, m, j in descending order.\nAnswer: h, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(77)*-2)\/sqrt(7))**2.\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/55 + 1013911\/407?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5010 + 2503 - 4*d + 2505 - 3*d**3 + 37*d**3 in the form q + p*d**2 + c*d**3 + s*d and give c.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*u = -2*g + 32, u + 36 = 3*g. Suppose -g*s = 1860 - 4811. Is s a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-3)*l*l**(1\/2))\/((l\/l**(-1\/12))\/l**1))**(3\/23) assuming l is positive.\nAnswer: l**(-7\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**5\/30 + 136*q**4\/3 - 73984*q**3\/3 + 913*q**2. Find f, given that t(f) = 0.\nAnswer: 272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/378 and 109\/6.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 308815967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from {p: 5, o: 5, y: 2, t: 5, n: 1}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 26308, 55847, 85386, 114925?\n\"Answer: 29539*z - 3231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 959 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/243 and -19\/378.\nAnswer: 3402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - (-2)\/(-8). Suppose c = 5*t - 1 + 11. What is the units digit of 0 + 5 - -2 - t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from {l: 2, i: 1, o: 2, e: 1, b: 1, j: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/3 (b) 0.4 (c) -6\/5 (d) 109 (e) 1\/4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 142713465.78 and 0.2.\nAnswer: 142713465.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(-20) - (-17)\/4. Let m be 1\/x*10*2. What is the second derivative of -4*r**4 + 4*r**4 - 72*r**5 - r + 52*r**m wrt r?\nAnswer: -400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/(3 - 93\/30). Suppose -3*q = 52 + b. Let j be (-1 + 4)\/((-12)\/q). Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-five halves of a century?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 184061520.\nAnswer: -736246080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12436192?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*d - 69*d + 47*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 12:06 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7307 bigger than -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 15*r - 12. Let m be q(-14). Let p be 8\/m - (-48)\/(-3). Let v = 18 + p. Solve 2*k + 3*f + 2 = -4, -3*f = -4*k + v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1291738 divided by 1883?\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -s + 55 - 23, -5*y + 4*s + 22 = 0. What is the smallest common multiple of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -22*y - 8. Determine q(-3).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5412 + 6*b**3 - 5414 - b**3 + 10826.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + j - j)*(-j + 0*j + 0*j) - 23 - 4*j**2 + 2*j**2 + 83 - 2 - 2*j**2 + 0*j**2 + 3*j**2 to the form d*j**2 + n + b*j and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = -5*l, 9*c - 30 = 4*c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -3, 21150 in increasing order.\nAnswer: -5, -3, 2, 21150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}